Dummy

Simple Bayesian Regression with Baysig

16 July 2013

This document will show a simple Bayesian statistical analysis in the Baysig language. The code that carries out this analysis is generated by BayesHive through the "Linear regression" model builder, so you don't have to type it out yourself if you want to do something similar with your own data. But in this document, I want to go a bit more into the meaning of this code.

Why would you use Bayesian statistics? I will show in this document why a Bayesian analysis can be more informative than calulating a r^2 value or a p-value from a classical regression analysis; at the same time, the output of the Bayesian analysis is easier to understand. I will show how the output of the Bayesian analysis can be used both to estimate model parameters and to replace significance tests.

Contents:

The dataset

I will be building a model for the "electricSupply" dataset which originally appeared here. Let's look at the first five rows:

take 5 (#electricSupply)
capital labour energy output
98.2880 0.3860 13.2190 1.2700
255.0680 1.1790 49.1450 4.5970
208.9040 0.5320 18.0050 1.9850
528.8640 1.8360 75.6390 9.8970
307.4190 1.1360 52.2340 5.9070

In this document I will keep things very simple, so I will concentrate on how one variable (output) is predicted by one other variable (energy). Let's start by plotting this relationship to get a feel for how it looks:

axisLabels "energy" "output" (scatterPlot (#electricSupply <#> (energy,output)))
[ {"x": 1.739,"y":0.125},{"x": 9.027,"y":1.832},{"x": 13.219,"y":1.27},{"x": 18.005,"y":1.985},{"x": 21.99,"y":2.239},{"x": 31.244,"y":2.728},{"x": 41.676,"y":4.865},{"x": 42.037,"y":3.507},{"x": 43.232,"y":4.477},{"x": 49.145,"y":4.597},{"x": 52.234,"y":5.907},{"x": 75.581,"y":7.037},{"x": 75.639,"y":9.897},{"x": 82.296,"y":8.727},{"x": 104.584,"y":9.685},{"x": 125.351,"y":10.077} ]

It is clear that there is some kind of relationship between the two variables. I will show you how to use a simple regression model to explore this relationship.

A simple regression model

The first thing we will want to do is to define the model for these data. Here is the model definition that BayesHive generates for you:

regress = prob
   beta_0 ~ improper_uniform
   beta_energy ~ improper_uniform
   variance ~ improper_uniform_positive
   repeat 16 $ prob
      energy ~ any
      output ~ normal (beta_0+energy*beta_energy) variance
      return {output=> output; energy=> energy}

That looks like a lot of work; is certainly more work than just typing "y=mx+b+N(0,var)". There are several good reason for that:

  • we have given the model a name (regress). That is good, because now we can pass it around to estimation procedures or manipulate the model.

  • in a Bayesian analysis, we have to state the prior, which is what we already know about the parameter before seeing the data. Here, I have chosen a flat uniform prior, which essentially says that we don't know anything about the parameters. But if you have some knowledge of these parameters from previous analyses, you would put that in the first three lines (for example, beta_0 ~ normal 5 1).

  • we explicitly said that we are repeating draws from a common distribution.

  • we have also explicitly said what in the model is observed -- the last line returns the output and the energy.

Explicit is good, because it clears up mysteries.

Estimating parameters

Next, we will want to call estimate. The estimate procedure is what sets Baysig apart from most programming languages. Everything else in Baysig has been designed to make it easy to work with estimate.

regressElectricSupplyPars <* estimate regress (#electricSupply)

The output of running estimate is a probability distribution over the parameters in the regress model; this is what Bayesian call the posteriror -- what you should believe about the model parameters after you have seen the data. The posterior is represented in Baysig as a probability distribution over records where each field is a parameter in the model. It is probably much easier to understand this if we just ask for its value and see what Baysig prints out.

regressElectricSupplyPars ⇒ {
   beta_0 => 0.52 ± 0.50,
   beta_energy => 0.0897 ± 0.0084,
   variance => 1.30 ± 0.65,
}

I want to emphasise that this is just a summary and there is much more information in the posterior. Looking at this summary does tell you a bit about the approximate value that are estimated (mean plus/minus standard deviation of the estimated parameters).

It is a bit nicer to see a graphical summary of the parameter estimates. BayesHive offers to generate code that defines several such plots, and I will describe each of them in detail. I will focus on the parameter beta_energy, which is the slope, or the sensitivity, in the output with respect to the energy. In the kind of analysis we are outlining here, it is often the most important parameter.

First we can look at the estimated distribution of this parameter. That gives us all the probable values, given the data. Here, we can see that the beta_energy parameter is probably somewhere around 0.09 and very likely to lie between 0.07 and 0.11. In some data analysis traditions, one spends a long time trying to find the single most likely value of this parameter, perhaps a number such as 0.089513. In the Bayesian school embraced in Baysig, this number has no particular meaning, nor is there any way of calculating it. The parameter beta_energy is uncertain and cannot be collapsed onto a single number.

axisLabels "beta_energy" "density" (distPlot (regressElectricSupplyPars <#> beta_energy))
0.0998195 0.0826987 0.0861898 0.098142 0.0842136 0.0989857 0.0894835 0.0959261 0.0900833 0.0812039 0.0909245 0.0975317 0.0863776 0.093667 0.0906657 0.091215 0.0937437 0.0870374 0.0917341 0.093936 0.0894051 0.0864065 0.0917108 0.108156 0.085049 0.105334 0.0841503 0.0848895 0.0797881 0.0860298 0.091575 0.116343 0.0813271 0.103775 0.102085 0.0904192 0.0918715 0.092265 0.0762525 0.0826 0.0822823 0.0926428 0.0831682 0.101402 0.103978 0.102925 0.0921819 0.0837034 0.0909695 0.084077 0.0902558 0.0847561 0.092946 0.0847148 0.093096 0.0864545 0.0892277 0.0954809 0.0920533 0.083979 0.106754 0.0902684 0.0937875 0.0869124 0.0811099 0.0880108 0.0959911 0.0802527 0.0890288 0.0872385 0.0749557 0.0939566 0.0798855 0.0821932 0.0967621 0.0852819 0.09006 0.0954367 0.0794319 0.0865043 0.09687 0.10301 0.0921009 0.0872924 0.0844804 0.108234 0.0751085 0.0845388 0.0899536 0.0989961 0.0899998 0.0824374 0.10367 0.0833536 0.093954 0.0777344 0.0850913 0.0951145 0.0710413 0.0906736 0.0915403 0.0821657 0.0886319 0.0909374 0.0782321 0.0863295 0.0943161 0.099297 0.0887462 0.086923 0.0669396 0.0875324 0.0974931 0.084524 0.087414 0.0880787 0.0873067 0.0881873 0.0897474 0.0813276 0.0968264 0.0994998 0.0860294 0.0744361 0.0967174 0.0807677 0.0893403 0.105384 0.0785834 0.112986 0.0931881 0.083091 0.0895232 0.0847477 0.087345 0.0914605 0.0954073 0.0939827 0.081786 0.0878386 0.0771853 0.0790728 0.086375 0.0729687 0.0945941 0.0786287 0.0956595 0.0855 0.0932549 0.0901312 0.0987237 0.0907709 0.0728097 0.089076 0.109678 0.0859711 0.0858851 0.0938572 0.0959046 0.0902989 0.073196 0.0733432 0.076194 0.0926539 0.0874677 0.0963057 0.0719249 0.08912 0.094536 0.0850072 0.087699 0.0852635 0.0937261 0.0994354 0.0868295 0.0882226 0.0888553 0.0816739 0.0774494 0.0942275 0.0858696 0.0902278 0.101953 0.0871208 0.110643 0.0924249 0.0743337 0.0858745 0.106262 0.0917242 0.0904781 0.0831144 0.0907178 0.0935176 0.0745074 0.0771662 0.0877293 0.0770693 0.0825993 0.0910797 0.0818473 0.0842254 0.0939556 0.0934964 0.0955626 0.0965682 0.0889482 0.0777265 0.0824844 0.0534763 0.0945412 0.0949283 0.0894969 0.0847579 0.0915357 0.0867212 0.0944093 0.0834029 0.103065 0.0898484 0.0856224 0.0934432 0.0717173 0.0749245 0.0906386 0.103345 0.0961561 0.0816175 0.081334 0.0877008 0.0885297 0.106747 0.0860564 0.094297 0.0832856 0.0998372 0.0967574 0.101407 0.0925838 0.0853457 0.0848566 0.0858022 0.0943463 0.0920426 0.0897191 0.0970861 0.0922571 0.0922156 0.0848988 0.0842832 0.0849402 0.0909121 0.101286 0.0978393 0.0959894 0.0899483 0.0873084 0.0794361 0.0740386 0.0980346 0.106529 0.108094 0.0795914 0.0806932 0.0878354 0.0886297 0.110461 0.105664 0.0915886 0.0842145 0.0928303 0.0914032 0.0923509 0.102248 0.0883923 0.0895123 0.0893193 0.0887106 0.0888417 0.0891003 0.0947744 0.100226 0.0879014 0.094379 0.0922671 0.101067 0.0918715 0.0738132 0.0916464 0.0956388 0.0933189 0.0773699 0.0844463 0.0778395 0.0872222 0.0976321 0.085086 0.090047 0.0823078 0.0776542 0.0972755 0.090341 0.103745 0.105783 0.0925128 0.104862 0.0850304 0.0814691 0.0960137 0.107327 0.084744 0.0842132 0.0985872 0.0912654 0.0854905 0.084364 0.0837911 0.103889 0.0822522 0.0951565 0.106016 0.0871885 0.085923 0.0922944 0.0977273 0.0916832 0.0865879 0.0766575 0.0789134 0.095115 0.085894 0.0973992 0.0883184 0.100711 0.0799455 0.0770355 0.0979632 0.0844035 0.107934 0.0824197 0.0932329 0.0772693 0.0809101 0.0832341 0.0940163 0.106171 0.0746317 0.0848864 0.0886147 0.0627262 0.0914951 0.0824081 0.0837663 0.0991131 0.0881311 0.0904341 0.0939046 0.0891435 0.084023 0.0807922 0.0791016 0.0919185 0.0990984 0.0952759 0.0965874 0.091618 0.0832504 0.0755647 0.0922654 0.0805908 0.0766264 0.0887487 0.0910116 0.0899896 0.0854485 0.0893701 0.0855287 0.0880543 0.0927313 0.0805459 0.0823298 0.0888995 0.0881628 0.0994384 0.0878293 0.0910042 0.0862247 0.0965535 0.0838658 0.100102 0.0940887 0.0993327 0.103121 0.0829249 0.0964715 0.106293 0.0817166 0.0972385 0.0962472 0.0831307 0.0780883 0.105838 0.0853264 0.0879331 0.0816672 0.0895241 0.0909678 0.0913843 0.0871528 0.0873216 0.095263 0.0840985 0.0958455 0.0819001 0.108367 0.0876296 0.0898332 0.078795 0.089186 0.104194 0.0862284 0.10271 0.0965186 0.101197 0.0913989 0.0888484 0.0930182 0.0851156 0.0988454 0.0966456 0.078491 0.0820564 0.090954 0.0809821 0.0822722 0.0980923 0.0889754 0.093556 0.0883599 0.0788048 0.0903313 0.0960195 0.0753169 0.0960195 0.0912396 0.0909247 0.0947481 0.101521 0.0890462 0.0793543 0.0821316 0.0964104 0.0779009 0.0854119 0.0908639 0.0972654 0.09127 0.0824812 0.0987359 0.0738831 0.101009 0.0806171 0.0996398 0.0941554 0.114226 0.0824095 0.0933104 0.082238 0.0843319 0.0888367 0.100365 0.082153 0.0836784 0.0953279 0.0942069 0.0834007 0.121983 0.0821062 0.0851673 0.0943878 0.0875312 0.0781098 0.0945743 0.0865631 0.10337 0.104073 0.0963076 0.108465 0.0869243 0.0852411 0.0808397 0.0833507 0.0846872 0.0954728 0.0826243 0.103339 0.0969786 0.0915367 0.102315 0.101539 0.0829166 0.100088 0.0895587 0.0977676 0.080533 0.0870732 0.0796905 0.0964708 0.0760213 0.0957791 0.093661 0.0938336 0.085766 0.0799127 0.0776291 0.0806119 0.0930662 0.0893463 0.0776169 0.0744638 0.095195 0.0997687 0.0869292 0.096004 0.0995969 0.0969601 0.0695366 0.0916204 0.0974596 0.098352 0.0857575 0.0868347 0.0819091 0.088543 0.0906243 0.0905511 0.0919481 0.0764866 0.0923004 0.0759645 0.0982324 0.0969054 0.0953027 0.0791096 0.106549 0.0753293 0.0987316 0.0884147 0.0961141 0.0813815 0.0896038 0.0902408 0.0849301 0.0917503 0.0858891 0.0946874 0.0880964 0.0894746 0.0801627 0.0894043 0.0886373 0.0932221 0.0895343 0.0954532 0.0709329 0.0891651 0.100457 0.0923351 0.0819231 0.0946577 0.0898399 0.0725337 0.0921438 0.10199 0.0716169 0.0906036 0.0902672 0.0993321 0.0891072 0.101679 0.0859154 0.105083 0.092885 0.0877062 0.0867971 0.101765 0.0750968 0.0893821 0.090549 0.0765125 0.0846066 0.08622 0.0884804 0.0810448 0.0777209 0.0915177 0.0930689 0.0954599 0.090594 0.0728839 0.0868701 0.0934344 0.0945291 0.0805284 0.0913031 0.081337 0.0809889 0.0883808 0.0854666 0.0944455 0.091251 0.0801115 0.0999 0.089543 0.0857353 0.0915081 0.0862687 0.0801783 0.0933006 0.0835905 0.0894089 0.0885402 0.0905884 0.109155 0.0932274 0.0916005 0.0939091 0.0896818 0.0868487 0.0884999 0.0935803 0.094555 0.0884559 0.0663706 0.0854969 0.0872157 0.090145 0.0918736 0.0861374 0.0839859 0.089298 0.0800541 0.0746268 0.0872572 0.0923279 0.088438 0.0808654 0.078997 0.102332 0.0841821 0.0867756 0.0914938 0.107643 0.0911143 0.0833324 0.0864271 0.0880824 0.0761878 0.10455 0.0891602 0.105832 0.0886211 0.0851895 0.0845126 0.090046 0.0901842 0.0909385 0.08817 0.0923254 0.0738479 0.0940131 0.0807994 0.0782299 0.0893389 0.0848645 0.0707906 0.089308 0.0929481 0.0842301 0.0849783 0.0846453 0.0800847 0.0913319 0.0969468 0.0895038 0.0909044 0.0868182 0.0862411 0.0828561 0.0849899 0.1029 0.0758371 0.0849635 0.101341 0.0992943 0.0863526 0.096072 0.0943301 0.099727 0.0938138 0.0883516 0.0896536 0.0984912 0.0923391 0.0738498 0.0946879 0.09047 0.0991985 0.0856709 0.105732 0.096098 0.0920156 0.090814 0.0914535 0.0904404 0.0941257 0.0877766 0.0853967 0.089747 0.0943222 0.105295 0.0886038 0.0897834 0.0841944 0.0840202 0.0842754 0.0874231 0.0917033 0.0913085 0.0857652 0.0979145 0.0817535 0.0805598 0.0967461 0.097346 0.0904292 0.094384 0.0623959 0.0964641 0.087674 0.102843 0.102276 0.0893826 0.0826274 0.0838439 0.0950827 0.0963642 0.0852483 0.0905369 0.0961598 0.096935 0.0943967 0.0904151 0.0943669 0.0784732 0.0893954 0.0872384 0.0818972 0.0900656 0.0975624 0.0994006 0.0936194 0.0769811 0.0848271 0.0851816 0.0960475 0.0958634 0.0943693 0.0915802 0.0906005 0.0873995 0.100435 0.0889633 0.10397 0.0876472 0.070013 0.0994311 0.0994959 0.0966921 0.0872752 0.0809409 0.0915752 0.100588 0.0760358 0.0835464 0.104153 0.0939879 0.0846838 0.0813743 0.088162 0.0946849 0.0906283 0.084092 0.0763794 0.0970906 0.0955779 0.0813354 0.0893728 0.0886436 0.084624 0.1007 0.0939354 0.0742297 0.096532 0.092062 0.0873245 0.102191 0.0968468 0.0936543 0.0935459 0.0922362 0.0881835 0.0887161 0.0867971 0.0888568 0.0845632 0.0871241 0.0755765 0.0921919 0.0926412 0.0979257 0.104928 0.114437 0.0715454 0.0956171 0.0776596 0.0918273 0.105135 0.0782465 0.0844954 0.09224 0.0834953 0.0979413 0.0721547 0.100485 0.0934879 0.0962583 0.0967949 0.0888332 0.0902848 0.0930628 0.097442 0.0982864 0.0803555 0.0850448 0.0829136 0.0998103 0.0943423 0.0980344 0.0825342 0.0784343 0.0872472 0.0987603 0.0966116 0.0884653 0.067997 0.0791751 0.0721853 0.0890933 0.0924617 0.0893091 0.0882855 0.0865347 0.0858995 0.0943282 0.0988013 0.0901909 0.0876166 0.0990572 0.0860956 0.0817893 0.0930601 0.0936923 0.0949295 0.0777356 0.0933749 0.0938912 0.0943479 0.0793837 0.0947573 0.0938541 0.0857949 0.0978265 0.100043 0.0766901 0.0999463 0.0810245 0.0931005 0.100253 0.0856817 0.0925416 0.0918071 0.0827839 0.0966223 0.0876565 0.0837354 0.0899436 0.0899892 0.0931814 0.0977357 0.0934492 0.0781589 0.0783042 0.0988915 0.0880548 0.103993 0.0998805 0.0836125 0.0970421 0.100162 0.0991966 0.0727226 0.0950488 0.0912662 0.081069 0.0809977 0.0875367 0.0922767 0.0899919 0.0947257 0.106724 0.0890667 0.0971239 0.0890849 0.0886413 0.0895699 0.116247 0.0947225 0.0631201 0.101606 0.0805087 0.0871956 0.0956332 0.0836398 0.0853656 0.112148 0.0857641 0.085051 0.0881018 0.0926948 0.095161 0.0712153 0.101134 0.0909727 0.0875213 0.0967318 0.0910785 0.0853794 0.0862797 0.0937353 0.0934814 0.0889791 0.0907053 0.0740221 0.074651 0.0840711 0.0917297 0.100364 0.0943169 0.0885572 0.0702242 0.0857103 0.132476 0.0883548 0.0787581 0.0837981 0.091849 0.0931226 0.10192 0.092397 0.0977324 0.0836376 0.0915345 0.0805025 0.082164 0.0926044 0.0987568 0.0923253 0.0819161 0.0948363 0.100034 0.0906867 0.0827283 0.0879455 0.0897055 0.0902807 0.087852 0.08848 0.0955229 0.0856561 0.102424 0.0904239 0.0737697 0.0796455 0.0812793 0.0888168 0.0970429 0.0876153 0.0930317

It is important to inspect the quality of the estimation. One of the simplest ways of doing this is to look at the Markov-chain Monte Carlo history for parameter. What we are looking for here is no overall trend and somethign that looks more like a point cloud than a slow random walk.

axisLabels "iteration" "beta_energy" $ chainPlot $ regressElectricSupplyPars <#> beta_energy
[ {"x": 0,"y":0.0998195},{"x": 1,"y":0.0826987},{"x": 2,"y":0.0861898},{"x": 3,"y":0.098142},{"x": 4,"y":0.0842136},{"x": 5,"y":0.0989857},{"x": 6,"y":0.0894835},{"x": 7,"y":0.0959261},{"x": 8,"y":0.0900833},{"x": 9,"y":0.0812039},{"x": 10,"y":0.0909245},{"x": 11,"y":0.0975317},{"x": 12,"y":0.0863776},{"x": 13,"y":0.093667},{"x": 14,"y":0.0906657},{"x": 15,"y":0.091215},{"x": 16,"y":0.0937437},{"x": 17,"y":0.0870374},{"x": 18,"y":0.0917341},{"x": 19,"y":0.093936},{"x": 20,"y":0.0894051},{"x": 21,"y":0.0864065},{"x": 22,"y":0.0917108},{"x": 23,"y":0.108156},{"x": 24,"y":0.085049},{"x": 25,"y":0.105334},{"x": 26,"y":0.0841503},{"x": 27,"y":0.0848895},{"x": 28,"y":0.0797881},{"x": 29,"y":0.0860298},{"x": 30,"y":0.091575},{"x": 31,"y":0.116343},{"x": 32,"y":0.0813271},{"x": 33,"y":0.103775},{"x": 34,"y":0.102085},{"x": 35,"y":0.0904192},{"x": 36,"y":0.0918715},{"x": 37,"y":0.092265},{"x": 38,"y":0.0762525},{"x": 39,"y":0.0826},{"x": 40,"y":0.0822823},{"x": 41,"y":0.0926428},{"x": 42,"y":0.0831682},{"x": 43,"y":0.101402},{"x": 44,"y":0.103978},{"x": 45,"y":0.102925},{"x": 46,"y":0.0921819},{"x": 47,"y":0.0837034},{"x": 48,"y":0.0909695},{"x": 49,"y":0.084077},{"x": 50,"y":0.0902558},{"x": 51,"y":0.0847561},{"x": 52,"y":0.092946},{"x": 53,"y":0.0847148},{"x": 54,"y":0.093096},{"x": 55,"y":0.0864545},{"x": 56,"y":0.0892277},{"x": 57,"y":0.0954809},{"x": 58,"y":0.0920533},{"x": 59,"y":0.083979},{"x": 60,"y":0.106754},{"x": 61,"y":0.0902684},{"x": 62,"y":0.0937875},{"x": 63,"y":0.0869124},{"x": 64,"y":0.0811099},{"x": 65,"y":0.0880108},{"x": 66,"y":0.0959911},{"x": 67,"y":0.0802527},{"x": 68,"y":0.0890288},{"x": 69,"y":0.0872385},{"x": 70,"y":0.0749557},{"x": 71,"y":0.0939566},{"x": 72,"y":0.0798855},{"x": 73,"y":0.0821932},{"x": 74,"y":0.0967621},{"x": 75,"y":0.0852819},{"x": 76,"y":0.09006},{"x": 77,"y":0.0954367},{"x": 78,"y":0.0794319},{"x": 79,"y":0.0865043},{"x": 80,"y":0.09687},{"x": 81,"y":0.10301},{"x": 82,"y":0.0921009},{"x": 83,"y":0.0872924},{"x": 84,"y":0.0844804},{"x": 85,"y":0.108234},{"x": 86,"y":0.0751085},{"x": 87,"y":0.0845388},{"x": 88,"y":0.0899536},{"x": 89,"y":0.0989961},{"x": 90,"y":0.0899998},{"x": 91,"y":0.0824374},{"x": 92,"y":0.10367},{"x": 93,"y":0.0833536},{"x": 94,"y":0.093954},{"x": 95,"y":0.0777344},{"x": 96,"y":0.0850913},{"x": 97,"y":0.0951145},{"x": 98,"y":0.0710413},{"x": 99,"y":0.0906736},{"x": 100,"y":0.0915403},{"x": 101,"y":0.0821657},{"x": 102,"y":0.0886319},{"x": 103,"y":0.0909374},{"x": 104,"y":0.0782321},{"x": 105,"y":0.0863295},{"x": 106,"y":0.0943161},{"x": 107,"y":0.099297},{"x": 108,"y":0.0887462},{"x": 109,"y":0.086923},{"x": 110,"y":0.0669396},{"x": 111,"y":0.0875324},{"x": 112,"y":0.0974931},{"x": 113,"y":0.084524},{"x": 114,"y":0.087414},{"x": 115,"y":0.0880787},{"x": 116,"y":0.0873067},{"x": 117,"y":0.0881873},{"x": 118,"y":0.0897474},{"x": 119,"y":0.0813276},{"x": 120,"y":0.0968264},{"x": 121,"y":0.0994998},{"x": 122,"y":0.0860294},{"x": 123,"y":0.0744361},{"x": 124,"y":0.0967174},{"x": 125,"y":0.0807677},{"x": 126,"y":0.0893403},{"x": 127,"y":0.105384},{"x": 128,"y":0.0785834},{"x": 129,"y":0.112986},{"x": 130,"y":0.0931881},{"x": 131,"y":0.083091},{"x": 132,"y":0.0895232},{"x": 133,"y":0.0847477},{"x": 134,"y":0.087345},{"x": 135,"y":0.0914605},{"x": 136,"y":0.0954073},{"x": 137,"y":0.0939827},{"x": 138,"y":0.081786},{"x": 139,"y":0.0878386},{"x": 140,"y":0.0771853},{"x": 141,"y":0.0790728},{"x": 142,"y":0.086375},{"x": 143,"y":0.0729687},{"x": 144,"y":0.0945941},{"x": 145,"y":0.0786287},{"x": 146,"y":0.0956595},{"x": 147,"y":0.0855},{"x": 148,"y":0.0932549},{"x": 149,"y":0.0901312},{"x": 150,"y":0.0987237},{"x": 151,"y":0.0907709},{"x": 152,"y":0.0728097},{"x": 153,"y":0.089076},{"x": 154,"y":0.109678},{"x": 155,"y":0.0859711},{"x": 156,"y":0.0858851},{"x": 157,"y":0.0938572},{"x": 158,"y":0.0959046},{"x": 159,"y":0.0902989},{"x": 160,"y":0.073196},{"x": 161,"y":0.0733432},{"x": 162,"y":0.076194},{"x": 163,"y":0.0926539},{"x": 164,"y":0.0874677},{"x": 165,"y":0.0963057},{"x": 166,"y":0.0719249},{"x": 167,"y":0.08912},{"x": 168,"y":0.094536},{"x": 169,"y":0.0850072},{"x": 170,"y":0.087699},{"x": 171,"y":0.0852635},{"x": 172,"y":0.0937261},{"x": 173,"y":0.0994354},{"x": 174,"y":0.0868295},{"x": 175,"y":0.0882226},{"x": 176,"y":0.0888553},{"x": 177,"y":0.0816739},{"x": 178,"y":0.0774494},{"x": 179,"y":0.0942275},{"x": 180,"y":0.0858696},{"x": 181,"y":0.0902278},{"x": 182,"y":0.101953},{"x": 183,"y":0.0871208},{"x": 184,"y":0.110643},{"x": 185,"y":0.0924249},{"x": 186,"y":0.0743337},{"x": 187,"y":0.0858745},{"x": 188,"y":0.106262},{"x": 189,"y":0.0917242},{"x": 190,"y":0.0904781},{"x": 191,"y":0.0831144},{"x": 192,"y":0.0907178},{"x": 193,"y":0.0935176},{"x": 194,"y":0.0745074},{"x": 195,"y":0.0771662},{"x": 196,"y":0.0877293},{"x": 197,"y":0.0770693},{"x": 198,"y":0.0825993},{"x": 199,"y":0.0910797},{"x": 200,"y":0.0818473},{"x": 201,"y":0.0842254},{"x": 202,"y":0.0939556},{"x": 203,"y":0.0934964},{"x": 204,"y":0.0955626},{"x": 205,"y":0.0965682},{"x": 206,"y":0.0889482},{"x": 207,"y":0.0777265},{"x": 208,"y":0.0824844},{"x": 209,"y":0.0534763},{"x": 210,"y":0.0945412},{"x": 211,"y":0.0949283},{"x": 212,"y":0.0894969},{"x": 213,"y":0.0847579},{"x": 214,"y":0.0915357},{"x": 215,"y":0.0867212},{"x": 216,"y":0.0944093},{"x": 217,"y":0.0834029},{"x": 218,"y":0.103065},{"x": 219,"y":0.0898484},{"x": 220,"y":0.0856224},{"x": 221,"y":0.0934432},{"x": 222,"y":0.0717173},{"x": 223,"y":0.0749245},{"x": 224,"y":0.0906386},{"x": 225,"y":0.103345},{"x": 226,"y":0.0961561},{"x": 227,"y":0.0816175},{"x": 228,"y":0.081334},{"x": 229,"y":0.0877008},{"x": 230,"y":0.0885297},{"x": 231,"y":0.106747},{"x": 232,"y":0.0860564},{"x": 233,"y":0.094297},{"x": 234,"y":0.0832856},{"x": 235,"y":0.0998372},{"x": 236,"y":0.0967574},{"x": 237,"y":0.101407},{"x": 238,"y":0.0925838},{"x": 239,"y":0.0853457},{"x": 240,"y":0.0848566},{"x": 241,"y":0.0858022},{"x": 242,"y":0.0943463},{"x": 243,"y":0.0920426},{"x": 244,"y":0.0897191},{"x": 245,"y":0.0970861},{"x": 246,"y":0.0922571},{"x": 247,"y":0.0922156},{"x": 248,"y":0.0848988},{"x": 249,"y":0.0842832},{"x": 250,"y":0.0849402},{"x": 251,"y":0.0909121},{"x": 252,"y":0.101286},{"x": 253,"y":0.0978393},{"x": 254,"y":0.0959894},{"x": 255,"y":0.0899483},{"x": 256,"y":0.0873084},{"x": 257,"y":0.0794361},{"x": 258,"y":0.0740386},{"x": 259,"y":0.0980346},{"x": 260,"y":0.106529},{"x": 261,"y":0.108094},{"x": 262,"y":0.0795914},{"x": 263,"y":0.0806932},{"x": 264,"y":0.0878354},{"x": 265,"y":0.0886297},{"x": 266,"y":0.110461},{"x": 267,"y":0.105664},{"x": 268,"y":0.0915886},{"x": 269,"y":0.0842145},{"x": 270,"y":0.0928303},{"x": 271,"y":0.0914032},{"x": 272,"y":0.0923509},{"x": 273,"y":0.102248},{"x": 274,"y":0.0883923},{"x": 275,"y":0.0895123},{"x": 276,"y":0.0893193},{"x": 277,"y":0.0887106},{"x": 278,"y":0.0888417},{"x": 279,"y":0.0891003},{"x": 280,"y":0.0947744},{"x": 281,"y":0.100226},{"x": 282,"y":0.0879014},{"x": 283,"y":0.094379},{"x": 284,"y":0.0922671},{"x": 285,"y":0.101067},{"x": 286,"y":0.0918715},{"x": 287,"y":0.0738132},{"x": 288,"y":0.0916464},{"x": 289,"y":0.0956388},{"x": 290,"y":0.0933189},{"x": 291,"y":0.0773699},{"x": 292,"y":0.0844463},{"x": 293,"y":0.0778395},{"x": 294,"y":0.0872222},{"x": 295,"y":0.0976321},{"x": 296,"y":0.085086},{"x": 297,"y":0.090047},{"x": 298,"y":0.0823078},{"x": 299,"y":0.0776542},{"x": 300,"y":0.0972755},{"x": 301,"y":0.090341},{"x": 302,"y":0.103745},{"x": 303,"y":0.105783},{"x": 304,"y":0.0925128},{"x": 305,"y":0.104862},{"x": 306,"y":0.0850304},{"x": 307,"y":0.0814691},{"x": 308,"y":0.0960137},{"x": 309,"y":0.107327},{"x": 310,"y":0.084744},{"x": 311,"y":0.0842132},{"x": 312,"y":0.0985872},{"x": 313,"y":0.0912654},{"x": 314,"y":0.0854905},{"x": 315,"y":0.084364},{"x": 316,"y":0.0837911},{"x": 317,"y":0.103889},{"x": 318,"y":0.0822522},{"x": 319,"y":0.0951565},{"x": 320,"y":0.106016},{"x": 321,"y":0.0871885},{"x": 322,"y":0.085923},{"x": 323,"y":0.0922944},{"x": 324,"y":0.0977273},{"x": 325,"y":0.0916832},{"x": 326,"y":0.0865879},{"x": 327,"y":0.0766575},{"x": 328,"y":0.0789134},{"x": 329,"y":0.095115},{"x": 330,"y":0.085894},{"x": 331,"y":0.0973992},{"x": 332,"y":0.0883184},{"x": 333,"y":0.100711},{"x": 334,"y":0.0799455},{"x": 335,"y":0.0770355},{"x": 336,"y":0.0979632},{"x": 337,"y":0.0844035},{"x": 338,"y":0.107934},{"x": 339,"y":0.0824197},{"x": 340,"y":0.0932329},{"x": 341,"y":0.0772693},{"x": 342,"y":0.0809101},{"x": 343,"y":0.0832341},{"x": 344,"y":0.0940163},{"x": 345,"y":0.106171},{"x": 346,"y":0.0746317},{"x": 347,"y":0.0848864},{"x": 348,"y":0.0886147},{"x": 349,"y":0.0627262},{"x": 350,"y":0.0914951},{"x": 351,"y":0.0824081},{"x": 352,"y":0.0837663},{"x": 353,"y":0.0991131},{"x": 354,"y":0.0881311},{"x": 355,"y":0.0904341},{"x": 356,"y":0.0939046},{"x": 357,"y":0.0891435},{"x": 358,"y":0.084023},{"x": 359,"y":0.0807922},{"x": 360,"y":0.0791016},{"x": 361,"y":0.0919185},{"x": 362,"y":0.0990984},{"x": 363,"y":0.0952759},{"x": 364,"y":0.0965874},{"x": 365,"y":0.091618},{"x": 366,"y":0.0832504},{"x": 367,"y":0.0755647},{"x": 368,"y":0.0922654},{"x": 369,"y":0.0805908},{"x": 370,"y":0.0766264},{"x": 371,"y":0.0887487},{"x": 372,"y":0.0910116},{"x": 373,"y":0.0899896},{"x": 374,"y":0.0854485},{"x": 375,"y":0.0893701},{"x": 376,"y":0.0855287},{"x": 377,"y":0.0880543},{"x": 378,"y":0.0927313},{"x": 379,"y":0.0805459},{"x": 380,"y":0.0823298},{"x": 381,"y":0.0888995},{"x": 382,"y":0.0881628},{"x": 383,"y":0.0994384},{"x": 384,"y":0.0878293},{"x": 385,"y":0.0910042},{"x": 386,"y":0.0862247},{"x": 387,"y":0.0965535},{"x": 388,"y":0.0838658},{"x": 389,"y":0.100102},{"x": 390,"y":0.0940887},{"x": 391,"y":0.0993327},{"x": 392,"y":0.103121},{"x": 393,"y":0.0829249},{"x": 394,"y":0.0964715},{"x": 395,"y":0.106293},{"x": 396,"y":0.0817166},{"x": 397,"y":0.0972385},{"x": 398,"y":0.0962472},{"x": 399,"y":0.0831307},{"x": 400,"y":0.0780883},{"x": 401,"y":0.105838},{"x": 402,"y":0.0853264},{"x": 403,"y":0.0879331},{"x": 404,"y":0.0816672},{"x": 405,"y":0.0895241},{"x": 406,"y":0.0909678},{"x": 407,"y":0.0913843},{"x": 408,"y":0.0871528},{"x": 409,"y":0.0873216},{"x": 410,"y":0.095263},{"x": 411,"y":0.0840985},{"x": 412,"y":0.0958455},{"x": 413,"y":0.0819001},{"x": 414,"y":0.108367},{"x": 415,"y":0.0876296},{"x": 416,"y":0.0898332},{"x": 417,"y":0.078795},{"x": 418,"y":0.089186},{"x": 419,"y":0.104194},{"x": 420,"y":0.0862284},{"x": 421,"y":0.10271},{"x": 422,"y":0.0965186},{"x": 423,"y":0.101197},{"x": 424,"y":0.0913989},{"x": 425,"y":0.0888484},{"x": 426,"y":0.0930182},{"x": 427,"y":0.0851156},{"x": 428,"y":0.0988454},{"x": 429,"y":0.0966456},{"x": 430,"y":0.078491},{"x": 431,"y":0.0820564},{"x": 432,"y":0.090954},{"x": 433,"y":0.0809821},{"x": 434,"y":0.0822722},{"x": 435,"y":0.0980923},{"x": 436,"y":0.0889754},{"x": 437,"y":0.093556},{"x": 438,"y":0.0883599},{"x": 439,"y":0.0788048},{"x": 440,"y":0.0903313},{"x": 441,"y":0.0960195},{"x": 442,"y":0.0753169},{"x": 443,"y":0.0960195},{"x": 444,"y":0.0912396},{"x": 445,"y":0.0909247},{"x": 446,"y":0.0947481},{"x": 447,"y":0.101521},{"x": 448,"y":0.0890462},{"x": 449,"y":0.0793543},{"x": 450,"y":0.0821316},{"x": 451,"y":0.0964104},{"x": 452,"y":0.0779009},{"x": 453,"y":0.0854119},{"x": 454,"y":0.0908639},{"x": 455,"y":0.0972654},{"x": 456,"y":0.09127},{"x": 457,"y":0.0824812},{"x": 458,"y":0.0987359},{"x": 459,"y":0.0738831},{"x": 460,"y":0.101009},{"x": 461,"y":0.0806171},{"x": 462,"y":0.0996398},{"x": 463,"y":0.0941554},{"x": 464,"y":0.114226},{"x": 465,"y":0.0824095},{"x": 466,"y":0.0933104},{"x": 467,"y":0.082238},{"x": 468,"y":0.0843319},{"x": 469,"y":0.0888367},{"x": 470,"y":0.100365},{"x": 471,"y":0.082153},{"x": 472,"y":0.0836784},{"x": 473,"y":0.0953279},{"x": 474,"y":0.0942069},{"x": 475,"y":0.0834007},{"x": 476,"y":0.121983},{"x": 477,"y":0.0821062},{"x": 478,"y":0.0851673},{"x": 479,"y":0.0943878},{"x": 480,"y":0.0875312},{"x": 481,"y":0.0781098},{"x": 482,"y":0.0945743},{"x": 483,"y":0.0865631},{"x": 484,"y":0.10337},{"x": 485,"y":0.104073},{"x": 486,"y":0.0963076},{"x": 487,"y":0.108465},{"x": 488,"y":0.0869243},{"x": 489,"y":0.0852411},{"x": 490,"y":0.0808397},{"x": 491,"y":0.0833507},{"x": 492,"y":0.0846872},{"x": 493,"y":0.0954728},{"x": 494,"y":0.0826243},{"x": 495,"y":0.103339},{"x": 496,"y":0.0969786},{"x": 497,"y":0.0915367},{"x": 498,"y":0.102315},{"x": 499,"y":0.101539},{"x": 500,"y":0.0829166},{"x": 501,"y":0.100088},{"x": 502,"y":0.0895587},{"x": 503,"y":0.0977676},{"x": 504,"y":0.080533},{"x": 505,"y":0.0870732},{"x": 506,"y":0.0796905},{"x": 507,"y":0.0964708},{"x": 508,"y":0.0760213},{"x": 509,"y":0.0957791},{"x": 510,"y":0.093661},{"x": 511,"y":0.0938336},{"x": 512,"y":0.085766},{"x": 513,"y":0.0799127},{"x": 514,"y":0.0776291},{"x": 515,"y":0.0806119},{"x": 516,"y":0.0930662},{"x": 517,"y":0.0893463},{"x": 518,"y":0.0776169},{"x": 519,"y":0.0744638},{"x": 520,"y":0.095195},{"x": 521,"y":0.0997687},{"x": 522,"y":0.0869292},{"x": 523,"y":0.096004},{"x": 524,"y":0.0995969},{"x": 525,"y":0.0969601},{"x": 526,"y":0.0695366},{"x": 527,"y":0.0916204},{"x": 528,"y":0.0974596},{"x": 529,"y":0.098352},{"x": 530,"y":0.0857575},{"x": 531,"y":0.0868347},{"x": 532,"y":0.0819091},{"x": 533,"y":0.088543},{"x": 534,"y":0.0906243},{"x": 535,"y":0.0905511},{"x": 536,"y":0.0919481},{"x": 537,"y":0.0764866},{"x": 538,"y":0.0923004},{"x": 539,"y":0.0759645},{"x": 540,"y":0.0982324},{"x": 541,"y":0.0969054},{"x": 542,"y":0.0953027},{"x": 543,"y":0.0791096},{"x": 544,"y":0.106549},{"x": 545,"y":0.0753293},{"x": 546,"y":0.0987316},{"x": 547,"y":0.0884147},{"x": 548,"y":0.0961141},{"x": 549,"y":0.0813815},{"x": 550,"y":0.0896038},{"x": 551,"y":0.0902408},{"x": 552,"y":0.0849301},{"x": 553,"y":0.0917503},{"x": 554,"y":0.0858891},{"x": 555,"y":0.0946874},{"x": 556,"y":0.0880964},{"x": 557,"y":0.0894746},{"x": 558,"y":0.0801627},{"x": 559,"y":0.0894043},{"x": 560,"y":0.0886373},{"x": 561,"y":0.0932221},{"x": 562,"y":0.0895343},{"x": 563,"y":0.0954532},{"x": 564,"y":0.0709329},{"x": 565,"y":0.0891651},{"x": 566,"y":0.100457},{"x": 567,"y":0.0923351},{"x": 568,"y":0.0819231},{"x": 569,"y":0.0946577},{"x": 570,"y":0.0898399},{"x": 571,"y":0.0725337},{"x": 572,"y":0.0921438},{"x": 573,"y":0.10199},{"x": 574,"y":0.0716169},{"x": 575,"y":0.0906036},{"x": 576,"y":0.0902672},{"x": 577,"y":0.0993321},{"x": 578,"y":0.0891072},{"x": 579,"y":0.101679},{"x": 580,"y":0.0859154},{"x": 581,"y":0.105083},{"x": 582,"y":0.092885},{"x": 583,"y":0.0877062},{"x": 584,"y":0.0867971},{"x": 585,"y":0.101765},{"x": 586,"y":0.0750968},{"x": 587,"y":0.0893821},{"x": 588,"y":0.090549},{"x": 589,"y":0.0765125},{"x": 590,"y":0.0846066},{"x": 591,"y":0.08622},{"x": 592,"y":0.0884804},{"x": 593,"y":0.0810448},{"x": 594,"y":0.0777209},{"x": 595,"y":0.0915177},{"x": 596,"y":0.0930689},{"x": 597,"y":0.0954599},{"x": 598,"y":0.090594},{"x": 599,"y":0.0728839},{"x": 600,"y":0.0868701},{"x": 601,"y":0.0934344},{"x": 602,"y":0.0945291},{"x": 603,"y":0.0805284},{"x": 604,"y":0.0913031},{"x": 605,"y":0.081337},{"x": 606,"y":0.0809889},{"x": 607,"y":0.0883808},{"x": 608,"y":0.0854666},{"x": 609,"y":0.0944455},{"x": 610,"y":0.091251},{"x": 611,"y":0.0801115},{"x": 612,"y":0.0999},{"x": 613,"y":0.089543},{"x": 614,"y":0.0857353},{"x": 615,"y":0.0915081},{"x": 616,"y":0.0862687},{"x": 617,"y":0.0801783},{"x": 618,"y":0.0933006},{"x": 619,"y":0.0835905},{"x": 620,"y":0.0894089},{"x": 621,"y":0.0885402},{"x": 622,"y":0.0905884},{"x": 623,"y":0.109155},{"x": 624,"y":0.0932274},{"x": 625,"y":0.0916005},{"x": 626,"y":0.0939091},{"x": 627,"y":0.0896818},{"x": 628,"y":0.0868487},{"x": 629,"y":0.0884999},{"x": 630,"y":0.0935803},{"x": 631,"y":0.094555},{"x": 632,"y":0.0884559},{"x": 633,"y":0.0663706},{"x": 634,"y":0.0854969},{"x": 635,"y":0.0872157},{"x": 636,"y":0.090145},{"x": 637,"y":0.0918736},{"x": 638,"y":0.0861374},{"x": 639,"y":0.0839859},{"x": 640,"y":0.089298},{"x": 641,"y":0.0800541},{"x": 642,"y":0.0746268},{"x": 643,"y":0.0872572},{"x": 644,"y":0.0923279},{"x": 645,"y":0.088438},{"x": 646,"y":0.0808654},{"x": 647,"y":0.078997},{"x": 648,"y":0.102332},{"x": 649,"y":0.0841821},{"x": 650,"y":0.0867756},{"x": 651,"y":0.0914938},{"x": 652,"y":0.107643},{"x": 653,"y":0.0911143},{"x": 654,"y":0.0833324},{"x": 655,"y":0.0864271},{"x": 656,"y":0.0880824},{"x": 657,"y":0.0761878},{"x": 658,"y":0.10455},{"x": 659,"y":0.0891602},{"x": 660,"y":0.105832},{"x": 661,"y":0.0886211},{"x": 662,"y":0.0851895},{"x": 663,"y":0.0845126},{"x": 664,"y":0.090046},{"x": 665,"y":0.0901842},{"x": 666,"y":0.0909385},{"x": 667,"y":0.08817},{"x": 668,"y":0.0923254},{"x": 669,"y":0.0738479},{"x": 670,"y":0.0940131},{"x": 671,"y":0.0807994},{"x": 672,"y":0.0782299},{"x": 673,"y":0.0893389},{"x": 674,"y":0.0848645},{"x": 675,"y":0.0707906},{"x": 676,"y":0.089308},{"x": 677,"y":0.0929481},{"x": 678,"y":0.0842301},{"x": 679,"y":0.0849783},{"x": 680,"y":0.0846453},{"x": 681,"y":0.0800847},{"x": 682,"y":0.0913319},{"x": 683,"y":0.0969468},{"x": 684,"y":0.0895038},{"x": 685,"y":0.0909044},{"x": 686,"y":0.0868182},{"x": 687,"y":0.0862411},{"x": 688,"y":0.0828561},{"x": 689,"y":0.0849899},{"x": 690,"y":0.1029},{"x": 691,"y":0.0758371},{"x": 692,"y":0.0849635},{"x": 693,"y":0.101341},{"x": 694,"y":0.0992943},{"x": 695,"y":0.0863526},{"x": 696,"y":0.096072},{"x": 697,"y":0.0943301},{"x": 698,"y":0.099727},{"x": 699,"y":0.0938138},{"x": 700,"y":0.0883516},{"x": 701,"y":0.0896536},{"x": 702,"y":0.0984912},{"x": 703,"y":0.0923391},{"x": 704,"y":0.0738498},{"x": 705,"y":0.0946879},{"x": 706,"y":0.09047},{"x": 707,"y":0.0991985},{"x": 708,"y":0.0856709},{"x": 709,"y":0.105732},{"x": 710,"y":0.096098},{"x": 711,"y":0.0920156},{"x": 712,"y":0.090814},{"x": 713,"y":0.0914535},{"x": 714,"y":0.0904404},{"x": 715,"y":0.0941257},{"x": 716,"y":0.0877766},{"x": 717,"y":0.0853967},{"x": 718,"y":0.089747},{"x": 719,"y":0.0943222},{"x": 720,"y":0.105295},{"x": 721,"y":0.0886038},{"x": 722,"y":0.0897834},{"x": 723,"y":0.0841944},{"x": 724,"y":0.0840202},{"x": 725,"y":0.0842754},{"x": 726,"y":0.0874231},{"x": 727,"y":0.0917033},{"x": 728,"y":0.0913085},{"x": 729,"y":0.0857652},{"x": 730,"y":0.0979145},{"x": 731,"y":0.0817535},{"x": 732,"y":0.0805598},{"x": 733,"y":0.0967461},{"x": 734,"y":0.097346},{"x": 735,"y":0.0904292},{"x": 736,"y":0.094384},{"x": 737,"y":0.0623959},{"x": 738,"y":0.0964641},{"x": 739,"y":0.087674},{"x": 740,"y":0.102843},{"x": 741,"y":0.102276},{"x": 742,"y":0.0893826},{"x": 743,"y":0.0826274},{"x": 744,"y":0.0838439},{"x": 745,"y":0.0950827},{"x": 746,"y":0.0963642},{"x": 747,"y":0.0852483},{"x": 748,"y":0.0905369},{"x": 749,"y":0.0961598},{"x": 750,"y":0.096935},{"x": 751,"y":0.0943967},{"x": 752,"y":0.0904151},{"x": 753,"y":0.0943669},{"x": 754,"y":0.0784732},{"x": 755,"y":0.0893954},{"x": 756,"y":0.0872384},{"x": 757,"y":0.0818972},{"x": 758,"y":0.0900656},{"x": 759,"y":0.0975624},{"x": 760,"y":0.0994006},{"x": 761,"y":0.0936194},{"x": 762,"y":0.0769811},{"x": 763,"y":0.0848271},{"x": 764,"y":0.0851816},{"x": 765,"y":0.0960475},{"x": 766,"y":0.0958634},{"x": 767,"y":0.0943693},{"x": 768,"y":0.0915802},{"x": 769,"y":0.0906005},{"x": 770,"y":0.0873995},{"x": 771,"y":0.100435},{"x": 772,"y":0.0889633},{"x": 773,"y":0.10397},{"x": 774,"y":0.0876472},{"x": 775,"y":0.070013},{"x": 776,"y":0.0994311},{"x": 777,"y":0.0994959},{"x": 778,"y":0.0966921},{"x": 779,"y":0.0872752},{"x": 780,"y":0.0809409},{"x": 781,"y":0.0915752},{"x": 782,"y":0.100588},{"x": 783,"y":0.0760358},{"x": 784,"y":0.0835464},{"x": 785,"y":0.104153},{"x": 786,"y":0.0939879},{"x": 787,"y":0.0846838},{"x": 788,"y":0.0813743},{"x": 789,"y":0.088162},{"x": 790,"y":0.0946849},{"x": 791,"y":0.0906283},{"x": 792,"y":0.084092},{"x": 793,"y":0.0763794},{"x": 794,"y":0.0970906},{"x": 795,"y":0.0955779},{"x": 796,"y":0.0813354},{"x": 797,"y":0.0893728},{"x": 798,"y":0.0886436},{"x": 799,"y":0.084624},{"x": 800,"y":0.1007},{"x": 801,"y":0.0939354},{"x": 802,"y":0.0742297},{"x": 803,"y":0.096532},{"x": 804,"y":0.092062},{"x": 805,"y":0.0873245},{"x": 806,"y":0.102191},{"x": 807,"y":0.0968468},{"x": 808,"y":0.0936543},{"x": 809,"y":0.0935459},{"x": 810,"y":0.0922362},{"x": 811,"y":0.0881835},{"x": 812,"y":0.0887161},{"x": 813,"y":0.0867971},{"x": 814,"y":0.0888568},{"x": 815,"y":0.0845632},{"x": 816,"y":0.0871241},{"x": 817,"y":0.0755765},{"x": 818,"y":0.0921919},{"x": 819,"y":0.0926412},{"x": 820,"y":0.0979257},{"x": 821,"y":0.104928},{"x": 822,"y":0.114437},{"x": 823,"y":0.0715454},{"x": 824,"y":0.0956171},{"x": 825,"y":0.0776596},{"x": 826,"y":0.0918273},{"x": 827,"y":0.105135},{"x": 828,"y":0.0782465},{"x": 829,"y":0.0844954},{"x": 830,"y":0.09224},{"x": 831,"y":0.0834953},{"x": 832,"y":0.0979413},{"x": 833,"y":0.0721547},{"x": 834,"y":0.100485},{"x": 835,"y":0.0934879},{"x": 836,"y":0.0962583},{"x": 837,"y":0.0967949},{"x": 838,"y":0.0888332},{"x": 839,"y":0.0902848},{"x": 840,"y":0.0930628},{"x": 841,"y":0.097442},{"x": 842,"y":0.0982864},{"x": 843,"y":0.0803555},{"x": 844,"y":0.0850448},{"x": 845,"y":0.0829136},{"x": 846,"y":0.0998103},{"x": 847,"y":0.0943423},{"x": 848,"y":0.0980344},{"x": 849,"y":0.0825342},{"x": 850,"y":0.0784343},{"x": 851,"y":0.0872472},{"x": 852,"y":0.0987603},{"x": 853,"y":0.0966116},{"x": 854,"y":0.0884653},{"x": 855,"y":0.067997},{"x": 856,"y":0.0791751},{"x": 857,"y":0.0721853},{"x": 858,"y":0.0890933},{"x": 859,"y":0.0924617},{"x": 860,"y":0.0893091},{"x": 861,"y":0.0882855},{"x": 862,"y":0.0865347},{"x": 863,"y":0.0858995},{"x": 864,"y":0.0943282},{"x": 865,"y":0.0988013},{"x": 866,"y":0.0901909},{"x": 867,"y":0.0876166},{"x": 868,"y":0.0990572},{"x": 869,"y":0.0860956},{"x": 870,"y":0.0817893},{"x": 871,"y":0.0930601},{"x": 872,"y":0.0936923},{"x": 873,"y":0.0949295},{"x": 874,"y":0.0777356},{"x": 875,"y":0.0933749},{"x": 876,"y":0.0938912},{"x": 877,"y":0.0943479},{"x": 878,"y":0.0793837},{"x": 879,"y":0.0947573},{"x": 880,"y":0.0938541},{"x": 881,"y":0.0857949},{"x": 882,"y":0.0978265},{"x": 883,"y":0.100043},{"x": 884,"y":0.0766901},{"x": 885,"y":0.0999463},{"x": 886,"y":0.0810245},{"x": 887,"y":0.0931005},{"x": 888,"y":0.100253},{"x": 889,"y":0.0856817},{"x": 890,"y":0.0925416},{"x": 891,"y":0.0918071},{"x": 892,"y":0.0827839},{"x": 893,"y":0.0966223},{"x": 894,"y":0.0876565},{"x": 895,"y":0.0837354},{"x": 896,"y":0.0899436},{"x": 897,"y":0.0899892},{"x": 898,"y":0.0931814},{"x": 899,"y":0.0977357},{"x": 900,"y":0.0934492},{"x": 901,"y":0.0781589},{"x": 902,"y":0.0783042},{"x": 903,"y":0.0988915},{"x": 904,"y":0.0880548},{"x": 905,"y":0.103993},{"x": 906,"y":0.0998805},{"x": 907,"y":0.0836125},{"x": 908,"y":0.0970421},{"x": 909,"y":0.100162},{"x": 910,"y":0.0991966},{"x": 911,"y":0.0727226},{"x": 912,"y":0.0950488},{"x": 913,"y":0.0912662},{"x": 914,"y":0.081069},{"x": 915,"y":0.0809977},{"x": 916,"y":0.0875367},{"x": 917,"y":0.0922767},{"x": 918,"y":0.0899919},{"x": 919,"y":0.0947257},{"x": 920,"y":0.106724},{"x": 921,"y":0.0890667},{"x": 922,"y":0.0971239},{"x": 923,"y":0.0890849},{"x": 924,"y":0.0886413},{"x": 925,"y":0.0895699},{"x": 926,"y":0.116247},{"x": 927,"y":0.0947225},{"x": 928,"y":0.0631201},{"x": 929,"y":0.101606},{"x": 930,"y":0.0805087},{"x": 931,"y":0.0871956},{"x": 932,"y":0.0956332},{"x": 933,"y":0.0836398},{"x": 934,"y":0.0853656},{"x": 935,"y":0.112148},{"x": 936,"y":0.0857641},{"x": 937,"y":0.085051},{"x": 938,"y":0.0881018},{"x": 939,"y":0.0926948},{"x": 940,"y":0.095161},{"x": 941,"y":0.0712153},{"x": 942,"y":0.101134},{"x": 943,"y":0.0909727},{"x": 944,"y":0.0875213},{"x": 945,"y":0.0967318},{"x": 946,"y":0.0910785},{"x": 947,"y":0.0853794},{"x": 948,"y":0.0862797},{"x": 949,"y":0.0937353},{"x": 950,"y":0.0934814},{"x": 951,"y":0.0889791},{"x": 952,"y":0.0907053},{"x": 953,"y":0.0740221},{"x": 954,"y":0.074651},{"x": 955,"y":0.0840711},{"x": 956,"y":0.0917297},{"x": 957,"y":0.100364},{"x": 958,"y":0.0943169},{"x": 959,"y":0.0885572},{"x": 960,"y":0.0702242},{"x": 961,"y":0.0857103},{"x": 962,"y":0.132476},{"x": 963,"y":0.0883548},{"x": 964,"y":0.0787581},{"x": 965,"y":0.0837981},{"x": 966,"y":0.091849},{"x": 967,"y":0.0931226},{"x": 968,"y":0.10192},{"x": 969,"y":0.092397},{"x": 970,"y":0.0977324},{"x": 971,"y":0.0836376},{"x": 972,"y":0.0915345},{"x": 973,"y":0.0805025},{"x": 974,"y":0.082164},{"x": 975,"y":0.0926044},{"x": 976,"y":0.0987568},{"x": 977,"y":0.0923253},{"x": 978,"y":0.0819161},{"x": 979,"y":0.0948363},{"x": 980,"y":0.100034},{"x": 981,"y":0.0906867},{"x": 982,"y":0.0827283},{"x": 983,"y":0.0879455},{"x": 984,"y":0.0897055},{"x": 985,"y":0.0902807},{"x": 986,"y":0.087852},{"x": 987,"y":0.08848},{"x": 988,"y":0.0955229},{"x": 989,"y":0.0856561},{"x": 990,"y":0.102424},{"x": 991,"y":0.0904239},{"x": 992,"y":0.0737697},{"x": 993,"y":0.0796455},{"x": 994,"y":0.0812793},{"x": 995,"y":0.0888168},{"x": 996,"y":0.0970429},{"x": 997,"y":0.0876153},{"x": 998,"y":0.0930317} ]

BayesHive will also generate a plot for the data and the fit lines. Most statistics programs will show you a single fit line. In Baysig, we try to communicate the full uncertainty in the inference, and so we show all the probable fit lines, taking into account the uncertainty in both the slope and the offset.

axisLabels "energy" "output" $ over [plines $ with regressElectricSupplyPars $ with (#electricSupply) (energy, beta_0+energy*beta_energy),scatterPlot $ #electricSupply <#> (energy,output)]
[ {"x": 1.739,"y":0.7756047180000001},{"x": 9.027,"y":1.418129374},{"x": 13.219,"y":1.7877044780000002},{"x": 18.005,"y":2.20964781},{"x": 21.99,"y":2.56097338},{"x": 31.244,"y":3.376824528},{"x": 41.676,"y":4.296530512},{"x": 42.037,"y":4.328356994},{"x": 43.232,"y":4.433710584},{"x": 49.145,"y":4.9550124900000005},{"x": 52.234,"y":5.227344908},{"x": 75.581,"y":7.285663122},{"x": 75.639,"y":7.2907765179999995},{"x": 82.296,"y":7.877670952000001},{"x": 104.584,"y":9.842625608},{"x": 125.351,"y":11.673485862000001} ] [ {"x": 1.739,"y":0.9737577147},{"x": 9.027,"y":1.6164667571},{"x": 13.219,"y":1.9861479187},{"x": 18.005,"y":2.4082123365},{"x": 21.99,"y":2.7596387269999996},{"x": 31.244,"y":3.5757240012000002},{"x": 41.676,"y":4.4956939148},{"x": 42.037,"y":4.5275295301},{"x": 43.232,"y":4.6329133536},{"x": 49.145,"y":5.1543648585},{"x": 52.234,"y":5.4267754282},{"x": 75.581,"y":7.4856843213},{"x": 75.639,"y":7.490799184699999},{"x": 82.296,"y":8.0778620408},{"x": 104.584,"y":10.0433805832},{"x": 125.351,"y":11.874766242299998} ] [ {"x": 1.739,"y":0.6077050929000001},{"x": 9.027,"y":1.2535756697},{"x": 13.219,"y":1.6250753208999997},{"x": 18.005,"y":2.0492159054999997},{"x": 21.99,"y":2.4023709889999996},{"x": 31.244,"y":3.2224706484},{"x": 41.676,"y":4.1469659636},{"x": 42.037,"y":4.1789581807},{"x": 43.232,"y":4.2848603952},{"x": 49.145,"y":4.8088769595},{"x": 52.234,"y":5.0826275374},{"x": 75.581,"y":7.1516643591},{"x": 75.639,"y":7.156804382899999},{"x": 82.296,"y":7.7467550456},{"x": 104.584,"y":9.7219421224},{"x": 125.351,"y":11.5623365061} ] [ {"x": 1.739,"y":0.8966117717},{"x": 9.027,"y":1.5652879580999999},{"x": 13.219,"y":1.9499052157},{"x": 18.005,"y":2.3890221515},{"x": 21.99,"y":2.7546470970000003},{"x": 31.244,"y":3.6037043732000003},{"x": 41.676,"y":4.5608435028},{"x": 42.037,"y":4.5939653611},{"x": 43.232,"y":4.7036069696},{"x": 49.145,"y":5.246126493500001},{"x": 52.234,"y":5.529543170200001},{"x": 75.581,"y":7.671637424300001},{"x": 75.639,"y":7.676958941700001},{"x": 82.296,"y":8.287740688800001},{"x": 104.584,"y":10.3326713752},{"x": 125.351,"y":12.2380498553} ] [ {"x": 1.739,"y":0.5782583213},{"x": 9.027,"y":1.2453777909},{"x": 13.219,"y":1.6290996373},{"x": 18.005,"y":2.0671942835},{"x": 21.99,"y":2.431968033},{"x": 31.244,"y":3.2790486548},{"x": 41.676,"y":4.2339595092},{"x": 42.037,"y":4.2670042579},{"x": 43.232,"y":4.3763906144},{"x": 49.145,"y":4.9176471215},{"x": 52.234,"y":5.2004039878},{"x": 75.581,"y":7.337511322700001},{"x": 75.639,"y":7.3428204513},{"x": 82.296,"y":7.952180263200001},{"x": 104.584,"y":9.9923502328},{"x": 125.351,"y":11.8932928817} ] [ {"x": 1.739,"y":1.1810125469000001},{"x": 9.027,"y":1.8501026917},{"x": 13.219,"y":2.2349580549},{"x": 18.005,"y":2.6743468354999997},{"x": 21.99,"y":3.0401981289999997},{"x": 31.244,"y":3.8897810324},{"x": 41.676,"y":4.8475126996},{"x": 42.037,"y":4.880655062700001},{"x": 43.232,"y":4.9903645472000004},{"x": 49.145,"y":5.533219929500001},{"x": 52.234,"y":5.8168120614},{"x": 75.581,"y":7.960232425100001},{"x": 75.639,"y":7.9655572369000005},{"x": 82.296,"y":8.576717101600002},{"x": 104.584,"y":10.6229137464},{"x": 125.351,"y":12.5294717921} ] [ {"x": 1.739,"y":1.300138991},{"x": 9.027,"y":1.890969863},{"x": 13.219,"y":2.230811111},{"x": 18.005,"y":2.618807345},{"x": 21.99,"y":2.94186731},{"x": 31.244,"y":3.692079836},{"x": 41.676,"y":4.537791644},{"x": 42.037,"y":4.567057553},{"x": 43.232,"y":4.663935008},{"x": 49.145,"y":5.143296005},{"x": 52.234,"y":5.393718146},{"x": 75.581,"y":7.286436089},{"x": 75.639,"y":7.291138091},{"x": 82.296,"y":7.830814424000001},{"x": 104.584,"y":9.637680296000001},{"x": 125.351,"y":11.321240219} ] [ {"x": 1.739,"y":1.0146869206},{"x": 9.027,"y":1.6288860358},{"x": 13.219,"y":1.9821685126},{"x": 18.005,"y":2.385510577},{"x": 21.99,"y":2.7213480459999997},{"x": 31.244,"y":3.5012325976},{"x": 41.676,"y":4.3803935704},{"x": 42.037,"y":4.4108169898},{"x": 43.232,"y":4.5115260928},{"x": 49.145,"y":5.009846533},{"x": 52.234,"y":5.2701732436},{"x": 75.581,"y":7.2377510074},{"x": 75.639,"y":7.2426389806},{"x": 82.296,"y":7.8036603184},{"x": 104.584,"y":9.6819904336},{"x": 125.351,"y":11.432137665399999} ] [ {"x": 1.739,"y":0.869602997},{"x": 9.027,"y":1.481962621},{"x": 13.219,"y":1.834187037},{"x": 18.005,"y":2.236321115},{"x": 21.99,"y":2.57115277},{"x": 31.244,"y":3.348701612},{"x": 41.676,"y":4.225229548},{"x": 42.037,"y":4.2555618509999995},{"x": 43.232,"y":4.355969335999999},{"x": 49.145,"y":4.852797335},{"x": 52.234,"y":5.112344382},{"x": 75.581,"y":7.074029363000001},{"x": 75.639,"y":7.078902697},{"x": 82.296,"y":7.638243808},{"x": 104.584,"y":9.510948432000001},{"x": 125.351,"y":11.255854073} ] [ {"x": 1.739,"y":1.0223448024000001},{"x": 9.027,"y":1.6431483031999998},{"x": 13.219,"y":2.0002295704},{"x": 18.005,"y":2.407908708},{"x": 21.99,"y":2.747357384},{"x": 31.244,"y":3.5356279103999997},{"x": 41.676,"y":4.4242423616},{"x": 42.037,"y":4.4549929191999995},{"x": 43.232,"y":4.5567849312},{"x": 49.145,"y":5.0604637320000005},{"x": 52.234,"y":5.3235896944},{"x": 75.581,"y":7.3123245096},{"x": 75.639,"y":7.3172650424},{"x": 82.296,"y":7.8843189536},{"x": 104.584,"y":9.7828464544},{"x": 125.351,"y":11.5518127416} ] [ {"x": 1.739,"y":0.43552809449999996},{"x": 9.027,"y":1.1444719385},{"x": 13.219,"y":1.5522508345000001},{"x": 18.005,"y":2.0178113774999997},{"x": 21.99,"y":2.405454245},{"x": 31.244,"y":3.3056417220000003},{"x": 41.676,"y":4.320419738},{"x": 42.037,"y":4.3555361935},{"x": 43.232,"y":4.471780416},{"x": 49.145,"y":5.0469704475},{"x": 52.234,"y":5.3474544669999995},{"x": 75.581,"y":7.6185455655},{"x": 75.639,"y":7.624187544499999},{"x": 82.296,"y":8.271750548},{"x": 104.584,"y":10.439826892},{"x": 125.351,"y":12.4599472005} ] [ {"x": 1.739,"y":0.16878904050000001},{"x": 9.027,"y":0.7896501164999999},{"x": 13.219,"y":1.1467645005},{"x": 18.005,"y":1.5544814475},{"x": 21.99,"y":1.8939616049999999},{"x": 31.244,"y":2.682305238},{"x": 41.676,"y":3.571002102},{"x": 42.037,"y":3.6017555115},{"x": 43.232,"y":3.703556964},{"x": 49.145,"y":4.207282477500001},{"x": 52.234,"y":4.470432843},{"x": 75.581,"y":6.459352099500001},{"x": 75.639,"y":6.4642930905},{"x": 82.296,"y":7.031399592000001},{"x": 104.584,"y":8.930103168},{"x": 125.351,"y":10.6992335145} ] [ {"x": 1.739,"y":0.333668348},{"x": 9.027,"y":1.0794639639999999},{"x": 13.219,"y":1.508439708},{"x": 18.005,"y":1.99820066},{"x": 21.99,"y":2.40599368},{"x": 31.244,"y":3.3529740080000003},{"x": 41.676,"y":4.420501432},{"x": 42.037,"y":4.457443284},{"x": 43.232,"y":4.579730024},{"x": 49.145,"y":5.18481914},{"x": 52.234,"y":5.500922688000001},{"x": 75.581,"y":7.890067892000001},{"x": 75.639,"y":7.896003148},{"x": 82.296,"y":8.577227272000002},{"x": 104.584,"y":10.858002888000001},{"x": 125.351,"y":12.983131532000002} ] [ {"x": 1.739,"y":0.594123419},{"x": 9.027,"y":1.345669267},{"x": 13.219,"y":1.777952499},{"x": 18.005,"y":2.271489605},{"x": 21.99,"y":2.68242679},{"x": 31.244,"y":3.636708524},{"x": 41.676,"y":4.712466796},{"x": 42.037,"y":4.749693477},{"x": 43.232,"y":4.872923072},{"x": 49.145,"y":5.4826775450000005},{"x": 52.234,"y":5.801218314000001},{"x": 75.581,"y":8.208784301000001},{"x": 75.639,"y":8.214765319},{"x": 82.296,"y":8.901241816000002},{"x": 104.584,"y":11.199602664000002},{"x": 125.351,"y":13.341116471000001} ] [ {"x": 1.739,"y":-0.10920496399999999},{"x": 9.027,"y":0.6685995479999999},{"x": 13.219,"y":1.1159865559999997},{"x": 18.005,"y":1.6267676199999999},{"x": 21.99,"y":2.0520627599999997},{"x": 31.244,"y":3.0396866559999998},{"x": 41.676,"y":4.153031424},{"x": 42.037,"y":4.191558788},{"x": 43.232,"y":4.319093968},{"x": 49.145,"y":4.95015298},{"x": 52.234,"y":5.279823416},{"x": 75.581,"y":7.771508644000001},{"x": 75.639,"y":7.777698636},{"x": 82.296,"y":8.488160304},{"x": 104.584,"y":10.866824816},{"x": 125.351,"y":13.083162124} ] [ {"x": 1.739,"y":0.4040381148},{"x": 9.027,"y":1.0997010364},{"x": 13.219,"y":1.4998408508},{"x": 18.005,"y":1.956679866},{"x": 21.99,"y":2.337060868},{"x": 31.244,"y":3.2203847808},{"x": 41.676,"y":4.2161525632000005},{"x": 42.037,"y":4.2506111684},{"x": 43.232,"y":4.3646777424},{"x": 49.145,"y":4.929092514},{"x": 52.234,"y":5.2239474488},{"x": 75.581,"y":7.4524933092},{"x": 75.639,"y":7.458029594799999},{"x": 82.296,"y":8.0934615472},{"x": 104.584,"y":10.2209224688},{"x": 125.351,"y":12.2031990732} ] [ {"x": 1.739,"y":1.317105849},{"x": 9.027,"y":1.889148257},{"x": 13.219,"y":2.218182529},{"x": 18.005,"y":2.593840455},{"x": 21.99,"y":2.9066270899999997},{"x": 31.244,"y":3.632982804},{"x": 41.676,"y":4.451800916000001},{"x": 42.037,"y":4.480136167},{"x": 43.232,"y":4.573932912},{"x": 49.145,"y":5.038050195},{"x": 52.234,"y":5.2805088940000005},{"x": 75.581,"y":7.113038271000001},{"x": 75.639,"y":7.117590749},{"x": 82.296,"y":7.640105336},{"x": 104.584,"y":9.389512744000001},{"x": 125.351,"y":11.019535341000001} ] [ {"x": 1.739,"y":0.7564350999},{"x": 9.027,"y":1.3630452207000001},{"x": 13.219,"y":1.7119625679},{"x": 18.005,"y":2.1103209705},{"x": 21.99,"y":2.442008859},{"x": 31.244,"y":3.2122572204},{"x": 41.676,"y":4.0805553516},{"x": 42.037,"y":4.1106028617},{"x": 43.232,"y":4.2100676111999995},{"x": 49.145,"y":4.702230844500001},{"x": 52.234,"y":4.9593409794},{"x": 75.581,"y":6.902607512100001},{"x": 75.639,"y":6.9074350899},{"x": 82.296,"y":7.461524493600001},{"x": 104.584,"y":9.316646114400001},{"x": 125.351,"y":11.0451686691} ] [ {"x": 1.739,"y":0.4792255724},{"x": 9.027,"y":1.1833309131999998},{"x": 13.219,"y":1.5883267404},{"x": 18.005,"y":2.0507098580000003},{"x": 21.99,"y":2.4357070839999997},{"x": 31.244,"y":3.3297508304},{"x": 41.676,"y":4.3376030416},{"x": 42.037,"y":4.3724798292000004},{"x": 43.232,"y":4.487930691200001},{"x": 49.145,"y":5.0591950820000005},{"x": 52.234,"y":5.3576283144},{"x": 75.581,"y":7.6132193396000005},{"x": 75.639,"y":7.6188228124},{"x": 82.296,"y":8.2619662336},{"x": 104.584,"y":10.415245574400002},{"x": 125.351,"y":12.4215786716} ] [ {"x": 1.739,"y":0.6553829011},{"x": 9.027,"y":1.3289755723},{"x": 13.219,"y":1.7164207531},{"x": 18.005,"y":2.1587663245},{"x": 21.99,"y":2.527079551},{"x": 31.244,"y":3.3823795756},{"x": 41.676,"y":4.3465561324},{"x": 42.037,"y":4.3799215213},{"x": 43.232,"y":4.4903692768},{"x": 49.145,"y":5.036877710500001},{"x": 52.234,"y":5.322378226600001},{"x": 75.581,"y":7.4802223669000005},{"x": 75.639,"y":7.4855830111},{"x": 82.296,"y":8.1008555704},{"x": 104.584,"y":10.1608217416},{"x": 125.351,"y":12.080209639900001} ] [ {"x": 1.739,"y":-0.05972066399999998},{"x": 9.027,"y":0.6867454479999999},{"x": 13.219,"y":1.116106856},{"x": 18.005,"y":1.60630812},{"x": 21.99,"y":2.0144677599999996},{"x": 31.244,"y":2.9622994559999998},{"x": 41.676,"y":4.030786624},{"x": 42.037,"y":4.067761688},{"x": 43.232,"y":4.1901583680000005},{"x": 49.145,"y":4.795791480000001},{"x": 52.234,"y":5.112179216},{"x": 75.581,"y":7.503472344},{"x": 75.639,"y":7.509412936},{"x": 82.296,"y":8.191249504000002},{"x": 104.584,"y":10.474075616},{"x": 125.351,"y":12.601114824} ] [ {"x": 1.739,"y":0.469106272},{"x": 9.027,"y":1.214289696},{"x": 13.219,"y":1.642913312},{"x": 18.005,"y":2.13227224},{"x": 21.99,"y":2.53973052},{"x": 31.244,"y":3.4859335120000003},{"x": 41.676,"y":4.552584648000001},{"x": 42.037,"y":4.589496176},{"x": 43.232,"y":4.7116825360000005},{"x": 49.145,"y":5.31627496},{"x": 52.234,"y":5.632119032},{"x": 75.581,"y":8.019303088000001},{"x": 75.639,"y":8.025233472},{"x": 82.296,"y":8.705898408000001},{"x": 104.584,"y":10.984801832},{"x": 125.351,"y":13.108186048} ] [ {"x": 1.739,"y":0.6471464869000001},{"x": 9.027,"y":1.3195891117},{"x": 13.219,"y":1.7063727949},{"x": 18.005,"y":2.1479631355},{"x": 21.99,"y":2.5156475289999998},{"x": 31.244,"y":3.3694872724000002},{"x": 41.676,"y":4.332017659600001},{"x": 42.037,"y":4.3653260827},{"x": 43.232,"y":4.4755852672000005},{"x": 49.145,"y":5.021160629500001},{"x": 52.234,"y":5.3061737014000006},{"x": 75.581,"y":7.4603336851},{"x": 75.639,"y":7.4656851769},{"x": 82.296,"y":8.0799072616},{"x": 104.584,"y":10.136356386400001},{"x": 125.351,"y":12.0524672521} ] [ {"x": 1.739,"y":0.11196104330000003},{"x": 9.027,"y":0.7426259369},{"x": 13.219,"y":1.1053793993},{"x": 18.005,"y":1.5195344735},{"x": 21.99,"y":1.864375253},{"x": 31.244,"y":2.6651673668},{"x": 41.676,"y":3.5678973572000006},{"x": 42.037,"y":3.5991363839000003},{"x": 43.232,"y":3.7025453504000003},{"x": 49.145,"y":4.214225031500001},{"x": 52.234,"y":4.4815307198},{"x": 75.581,"y":6.501856360700001},{"x": 75.639,"y":6.5068753733},{"x": 82.296,"y":7.082936871200001},{"x": 104.584,"y":9.0116222648},{"x": 125.351,"y":10.8086883797} ] [ {"x": 1.739,"y":1.0894691527},{"x": 9.027,"y":1.7295690911},{"x": 13.219,"y":2.0977495167},{"x": 18.005,"y":2.5181005465},{"x": 21.99,"y":2.8681003069999997},{"x": 31.244,"y":3.6808726492},{"x": 41.676,"y":4.5971079068},{"x": 42.037,"y":4.6288142841},{"x": 43.232,"y":4.7337702976},{"x": 49.145,"y":5.253104948500001},{"x": 52.234,"y":5.5244096562},{"x": 75.581,"y":7.574960323300001},{"x": 75.639,"y":7.5800544227},{"x": 82.296,"y":8.1647340728},{"x": 104.584,"y":10.1222735112},{"x": 125.351,"y":11.9462245843} ] [ {"x": 1.739,"y":0.7660654078},{"x": 9.027,"y":1.4113463854},{"x": 13.219,"y":1.7825069037999999},{"x": 18.005,"y":2.206260301},{"x": 21.99,"y":2.5590929979999997},{"x": 31.244,"y":3.3784440088},{"x": 41.676,"y":4.3020953752},{"x": 42.037,"y":4.3340583874},{"x": 43.232,"y":4.4398639264},{"x": 49.145,"y":4.963402129},{"x": 52.234,"y":5.2369028068},{"x": 75.581,"y":7.3040508562},{"x": 75.639,"y":7.309186187799999},{"x": 82.296,"y":7.898598299200001},{"x": 104.584,"y":9.8719822768},{"x": 125.351,"y":11.710696610200001} ] [ {"x": 1.739,"y":0.374699965},{"x": 9.027,"y":1.0811622449999998},{"x": 13.219,"y":1.4875137649999999},{"x": 18.005,"y":1.9514446749999996},{"x": 21.99,"y":2.3377306499999997},{"x": 31.244,"y":3.2347671399999998},{"x": 41.676,"y":4.24599306},{"x": 42.037,"y":4.280986595},{"x": 43.232,"y":4.396823919999999},{"x": 49.145,"y":4.970000575},{"x": 52.234,"y":5.26943279},{"x": 75.581,"y":7.532574234999999},{"x": 75.639,"y":7.538196464999999},{"x": 82.296,"y":8.18349276},{"x": 104.584,"y":10.34398004},{"x": 125.351,"y":12.357029184999998} ] [ {"x": 1.739,"y":1.3127589972},{"x": 9.027,"y":1.9566887795999999},{"x": 13.219,"y":2.3270721011999997},{"x": 18.005,"y":2.749938174},{"x": 21.99,"y":3.102032052},{"x": 31.244,"y":3.9196673712},{"x": 41.676,"y":4.8413846448},{"x": 42.037,"y":4.8732807276},{"x": 43.232,"y":4.9788647136},{"x": 49.145,"y":5.501306646000001},{"x": 52.234,"y":5.7742346232},{"x": 75.581,"y":7.8370541388},{"x": 75.639,"y":7.8421787171999995},{"x": 82.296,"y":8.430356620800001},{"x": 104.584,"y":10.3996084032},{"x": 125.351,"y":12.2344725348} ] [ {"x": 1.739,"y":0.600159097},{"x": 9.027,"y":1.233653921},{"x": 13.219,"y":1.598035137},{"x": 18.005,"y":2.0140486149999997},{"x": 21.99,"y":2.3604367699999997},{"x": 31.244,"y":3.164822212},{"x": 41.676,"y":4.071602948000001},{"x": 42.037,"y":4.102982151},{"x": 43.232,"y":4.206855136},{"x": 49.145,"y":4.720830835},{"x": 52.234,"y":4.989335982},{"x": 75.581,"y":7.018727263},{"x": 75.639,"y":7.023768797},{"x": 82.296,"y":7.602415208},{"x": 104.584,"y":9.539755032},{"x": 125.351,"y":11.344884973} ] [ {"x": 1.739,"y":0.1293849065},{"x": 9.027,"y":0.7720662544999999},{"x": 13.219,"y":1.1417314865},{"x": 18.005,"y":1.5637777174999998},{"x": 21.99,"y":1.9151889649999998},{"x": 31.244,"y":2.731239074},{"x": 41.676,"y":3.651169346},{"x": 42.037,"y":3.6830035895},{"x": 43.232,"y":3.788382872},{"x": 49.145,"y":4.3098119075},{"x": 52.234,"y":4.582210739},{"x": 75.581,"y":6.6410309135},{"x": 75.639,"y":6.6461455565},{"x": 82.296,"y":7.233183116},{"x": 104.584,"y":9.198616964},{"x": 125.351,"y":11.0299237085} ] [ {"x": 1.739,"y":0.5182722396},{"x": 9.027,"y":1.1996740028},{"x": 13.219,"y":1.5916109116},{"x": 18.005,"y":2.039084682},{"x": 21.99,"y":2.4116678359999995},{"x": 31.244,"y":3.2768835215999994},{"x": 41.676,"y":4.2522379664},{"x": 42.037,"y":4.2859901668},{"x": 43.232,"y":4.397718364799999},{"x": 49.145,"y":4.9505625779999995},{"x": 52.234,"y":5.2393729576},{"x": 75.581,"y":7.4222334083999995},{"x": 75.639,"y":7.427656199599999},{"x": 82.296,"y":8.0500617344},{"x": 104.584,"y":10.1339094976},{"x": 125.351,"y":12.075549236399999} ] [ {"x": 1.739,"y":0.4820850909},{"x": 9.027,"y":1.1475020836999998},{"x": 13.219,"y":1.5302446789},{"x": 18.005,"y":1.9672213155},{"x": 21.99,"y":2.331064169},{"x": 31.244,"y":3.1759830564},{"x": 41.676,"y":4.1284569956},{"x": 42.037,"y":4.1614174147},{"x": 43.232,"y":4.2705246192},{"x": 49.145,"y":4.8103998495},{"x": 52.234,"y":5.0924351254},{"x": 75.581,"y":7.2240886011},{"x": 75.639,"y":7.2293841808999995},{"x": 82.296,"y":7.837188917600001},{"x": 104.584,"y":9.8721524104},{"x": 125.351,"y":11.768243888099999} ] [ {"x": 1.739,"y":0.9260478524},{"x": 9.027,"y":1.5246229531999997},{"x": 13.219,"y":1.8689186204},{"x": 18.005,"y":2.262000458},{"x": 21.99,"y":2.589294884},{"x": 31.244,"y":3.3493407104},{"x": 41.676,"y":4.2061375616},{"x": 42.037,"y":4.2357870692},{"x": 43.232,"y":4.3339343312},{"x": 49.145,"y":4.819578482000001},{"x": 52.234,"y":5.0732829944},{"x": 75.581,"y":6.9908094596},{"x": 75.639,"y":6.9955730924},{"x": 82.296,"y":7.542323153600001},{"x": 104.584,"y":9.372872254399999},{"x": 125.351,"y":11.078499191599999} ] [ {"x": 1.739,"y":0.5598818221999999},{"x": 9.027,"y":1.1868670045999998},{"x": 13.219,"y":1.5475039262},{"x": 18.005,"y":1.9592425489999998},{"x": 21.99,"y":2.302071302},{"x": 31.244,"y":3.0981910712},{"x": 41.676,"y":3.9956539448000004},{"x": 42.037,"y":4.0267107026},{"x": 43.232,"y":4.1295163136},{"x": 49.145,"y":4.638210521},{"x": 52.234,"y":4.9039565732},{"x": 75.581,"y":6.9124943138},{"x": 75.639,"y":6.9174840422},{"x": 82.296,"y":7.4901844208},{"x": 104.584,"y":9.407616603200001},{"x": 125.351,"y":11.1941974598} ] [ {"x": 1.739,"y":0.6233755},{"x": 9.027,"y":1.2464995},{"x": 13.219,"y":1.6049155},{"x": 18.005,"y":2.0141185},{"x": 21.99,"y":2.3548359999999997},{"x": 31.244,"y":3.146053},{"x": 41.676,"y":4.0379890000000005},{"x": 42.037,"y":4.0688545000000005},{"x": 43.232,"y":4.1710270000000005},{"x": 49.145,"y":4.6765885},{"x": 52.234,"y":4.940698},{"x": 75.581,"y":6.936866500000001},{"x": 75.639,"y":6.9418255},{"x": 82.296,"y":7.510999000000001},{"x": 104.584,"y":9.416623000000001},{"x": 125.351,"y":11.192201500000001} ] [ {"x": 1.739,"y":1.1143896912},{"x": 9.027,"y":1.7535531216},{"x": 13.219,"y":2.1211948751999996},{"x": 18.005,"y":2.5409309039999997},{"x": 21.99,"y":2.8904185919999996},{"x": 31.244,"y":3.7020017951999997},{"x": 41.676,"y":4.6168965408},{"x": 42.037,"y":4.6485565295999995},{"x": 43.232,"y":4.7533589856},{"x": 49.145,"y":5.271933816000001},{"x": 52.234,"y":5.5428415872},{"x": 75.581,"y":7.590392164800001},{"x": 75.639,"y":7.5954788112},{"x": 82.296,"y":8.1793030368},{"x": 104.584,"y":10.1339784672},{"x": 125.351,"y":11.9552609808} ] [ {"x": 1.739,"y":0.4846240771},{"x": 9.027,"y":1.1362361402999999},{"x": 13.219,"y":1.5110382491},{"x": 18.005,"y":1.9389492445},{"x": 21.99,"y":2.295243711},{"x": 31.244,"y":3.1226336716},{"x": 41.676,"y":4.0553473164},{"x": 42.037,"y":4.087623929299999},{"x": 43.232,"y":4.1944675648},{"x": 49.145,"y":4.7231423905000005},{"x": 52.234,"y":4.9993264826},{"x": 75.581,"y":7.0867560709},{"x": 75.639,"y":7.0919417871},{"x": 82.296,"y":7.6871368344},{"x": 104.584,"y":9.6798823976},{"x": 125.351,"y":11.5366370239} ] [ {"x": 1.739,"y":0.1244608403},{"x": 9.027,"y":0.8143261578999998},{"x": 13.219,"y":1.2111312363},{"x": 18.005,"y":1.6641629885},{"x": 21.99,"y":2.0413739229999996},{"x": 31.244,"y":2.9173362787999997},{"x": 41.676,"y":3.9048054052},{"x": 42.037,"y":3.9389768348999996},{"x": 43.232,"y":4.052092786399999},{"x": 49.145,"y":4.6118037665000005},{"x": 52.234,"y":4.9042014018},{"x": 75.581,"y":7.1141747237},{"x": 75.639,"y":7.119664870299999},{"x": 82.296,"y":7.7498011792},{"x": 104.584,"y":9.8595319968},{"x": 125.351,"y":11.825288452699999} ] [ {"x": 1.739,"y":2.0337858539},{"x": 9.027,"y":2.4938051427},{"x": 13.219,"y":2.7584046019},{"x": 18.005,"y":3.0604974005},{"x": 21.99,"y":3.312030999},{"x": 31.244,"y":3.8961444044},{"x": 41.676,"y":4.5546132876000005},{"x": 42.037,"y":4.5773996437},{"x": 43.232,"y":4.652828163200001},{"x": 49.145,"y":5.0260573145},{"x": 52.234,"y":5.2210353034},{"x": 75.581,"y":6.694700278100001},{"x": 75.639,"y":6.698361243899999},{"x": 82.296,"y":7.1185517496},{"x": 104.584,"y":8.525372538400001},{"x": 125.351,"y":9.8361876551} ] [ {"x": 1.739,"y":1.0909734},{"x": 9.027,"y":1.6929622},{"x": 13.219,"y":2.0392214},{"x": 18.005,"y":2.434545},{"x": 21.99,"y":2.763706},{"x": 31.244,"y":3.5280864},{"x": 41.676,"y":4.3897696},{"x": 42.037,"y":4.419588200000001},{"x": 43.232,"y":4.518295200000001},{"x": 49.145,"y":5.006709000000001},{"x": 52.234,"y":5.261860400000001},{"x": 75.581,"y":7.190322600000001},{"x": 75.639,"y":7.1951134},{"x": 82.296,"y":7.744981600000002},{"x": 104.584,"y":9.5859704},{"x": 125.351,"y":11.301324600000001} ] [ {"x": 1.739,"y":0.5237881091000001},{"x": 9.027,"y":1.1760415163},{"x": 13.219,"y":1.5512125210999999},{"x": 18.005,"y":1.9795446845},{"x": 21.99,"y":2.336189831},{"x": 31.244,"y":3.1643941436},{"x": 41.676,"y":4.098025804400001},{"x": 42.037,"y":4.130334185300001},{"x": 43.232,"y":4.2372829808},{"x": 49.145,"y":4.766478150500001},{"x": 52.234,"y":5.042934074600001},{"x": 75.581,"y":7.132418198900001},{"x": 75.639,"y":7.1376090191},{"x": 82.296,"y":7.733389882400001},{"x": 104.584,"y":9.7280967896},{"x": 125.351,"y":11.5866789119} ] [ {"x": 1.739,"y":1.6754562251},{"x": 9.027,"y":2.2653535042999997},{"x": 13.219,"y":2.6046577571},{"x": 18.005,"y":2.9920409044999996},{"x": 21.99,"y":3.3145903909999994},{"x": 31.244,"y":4.0636174795999995},{"x": 41.676,"y":4.9079929484},{"x": 42.037,"y":4.9372126133},{"x": 43.232,"y":5.0339369888},{"x": 49.145,"y":5.5125405305},{"x": 52.234,"y":5.7625669706},{"x": 75.581,"y":7.6522941629},{"x": 75.639,"y":7.6569887351},{"x": 82.296,"y":8.1958123064},{"x": 104.584,"y":9.9998230856},{"x": 125.351,"y":11.6807227559} ] [ {"x": 1.739,"y":0.18158051390000002},{"x": 9.027,"y":0.8598025227},{"x": 13.219,"y":1.2499104619},{"x": 18.005,"y":1.6952961005},{"x": 21.99,"y":2.066140599},{"x": 31.244,"y":2.9273187644000003},{"x": 41.676,"y":3.8981217276000004},{"x": 42.037,"y":3.9317164237},{"x": 43.232,"y":4.042923243200001},{"x": 49.145,"y":4.593187614500001},{"x": 52.234,"y":4.880650263400001},{"x": 75.581,"y":7.053324418100001},{"x": 75.639,"y":7.0587219039},{"x": 82.296,"y":7.678222989600001},{"x": 104.584,"y":9.7523464984},{"x": 125.351,"y":11.6849255951} ] [ {"x": 1.739,"y":0.9029540038},{"x": 9.027,"y":1.4736350134},{"x": 13.219,"y":1.8018862198},{"x": 18.005,"y":2.1766501209999998},{"x": 21.99,"y":2.4886923579999998},{"x": 31.244,"y":3.2133194248},{"x": 41.676,"y":4.0301888392},{"x": 42.037,"y":4.0584566554},{"x": 43.232,"y":4.1520301744},{"x": 49.145,"y":4.6150429090000005},{"x": 52.234,"y":4.8569245828000005},{"x": 75.581,"y":6.685092740200001},{"x": 75.639,"y":6.6896343838000005},{"x": 82.296,"y":7.2109054432000015},{"x": 104.584,"y":8.9561494528},{"x": 125.351,"y":10.5822927742} ] [ {"x": 1.739,"y":0.11344469710000002},{"x": 9.027,"y":0.7036918003},{"x": 13.219,"y":1.0431972691},{"x": 18.005,"y":1.4308101444999999},{"x": 21.99,"y":1.7535509109999998},{"x": 31.244,"y":2.5030221916000004},{"x": 41.676,"y":3.3478983964000006},{"x": 42.037,"y":3.3771353893000002},{"x": 43.232,"y":3.4739171248000003},{"x": 49.145,"y":3.9528044905000006},{"x": 52.234,"y":4.2029792026},{"x": 75.581,"y":6.0938270509},{"x": 75.639,"y":6.098524407099999},{"x": 82.296,"y":6.6376675144},{"x": 104.584,"y":8.4427481176},{"x": 125.351,"y":10.1246446039} ] [ {"x": 1.739,"y":-0.153060445},{"x": 9.027,"y":0.6030331149999999},{"x": 13.219,"y":1.037932155},{"x": 18.005,"y":1.534455725},{"x": 21.99,"y":1.9478795499999997},{"x": 31.244,"y":2.90793578},{"x": 41.676,"y":3.9902036200000004},{"x": 42.037,"y":4.027655565000001},{"x": 43.232,"y":4.15163084},{"x": 49.145,"y":4.765075025000001},{"x": 52.234,"y":5.085543330000001},{"x": 75.581,"y":7.507677845000001},{"x": 75.639,"y":7.513695055},{"x": 82.296,"y":8.204325520000001},{"x": 104.584,"y":10.51659408},{"x": 125.351,"y":12.671066495} ] [ {"x": 1.739,"y":0.7050311442},{"x": 9.027,"y":1.3626113506},{"x": 13.219,"y":1.7408462882},{"x": 18.005,"y":2.172676539},{"x": 21.99,"y":2.532234322},{"x": 31.244,"y":3.3672023831999995},{"x": 41.676,"y":4.3084587928},{"x": 42.037,"y":4.3410310286},{"x": 43.232,"y":4.4488532496},{"x": 49.145,"y":4.982370231},{"x": 52.234,"y":5.2610839052},{"x": 75.581,"y":7.3676323518},{"x": 75.639,"y":7.372865564199999},{"x": 82.296,"y":7.9735120288},{"x": 104.584,"y":9.9845092352},{"x": 125.351,"y":11.858269957800001} ] [ {"x": 1.739,"y":0.6899077269},{"x": 9.027,"y":1.3197884317},{"x": 13.219,"y":1.6820908348999999},{"x": 18.005,"y":2.0957309355},{"x": 21.99,"y":2.440142929},{"x": 31.244,"y":3.2399393124},{"x": 41.676,"y":4.1415468196},{"x": 42.037,"y":4.1727470027},{"x": 43.232,"y":4.2760273872},{"x": 49.145,"y":4.7870708295},{"x": 52.234,"y":5.0540441414},{"x": 75.581,"y":7.071857645100001},{"x": 75.639,"y":7.0768704169},{"x": 82.296,"y":7.652215621600001},{"x": 104.584,"y":9.578502826400001},{"x": 125.351,"y":11.373334412100002} ] [ {"x": 1.739,"y":0.6522097693000001},{"x": 9.027,"y":1.3793240549},{"x": 13.219,"y":1.7975544453},{"x": 18.005,"y":2.2750474435},{"x": 21.99,"y":2.6726257129999995},{"x": 31.244,"y":3.5958852628000004},{"x": 41.676,"y":4.6366723412},{"x": 42.037,"y":4.6726888418999994},{"x": 43.232,"y":4.7919124384},{"x": 49.145,"y":5.3818447615},{"x": 52.234,"y":5.6900302758},{"x": 75.581,"y":8.0193301147},{"x": 75.639,"y":8.0251166993},{"x": 82.296,"y":8.6892769352},{"x": 104.584,"y":10.9129217208},{"x": 125.351,"y":12.9848183137} ] [ {"x": 1.739,"y":0.9394323311},{"x": 9.027,"y":1.5647055623},{"x": 13.219,"y":1.9243577830999998},{"x": 18.005,"y":2.3349721745},{"x": 21.99,"y":2.6768648509999995},{"x": 31.244,"y":3.4708108556},{"x": 41.676,"y":4.3658232524},{"x": 42.037,"y":4.3967952113},{"x": 43.232,"y":4.4993201168},{"x": 49.145,"y":5.0066253605},{"x": 52.234,"y":5.2716458066},{"x": 75.581,"y":7.2746993368999995},{"x": 75.639,"y":7.279675441099999},{"x": 82.296,"y":7.8508120904},{"x": 104.584,"y":9.7630088216},{"x": 125.351,"y":11.5447115099} ] [ {"x": 1.739,"y":0.125},{"x": 9.027,"y":1.832},{"x": 13.219,"y":1.27},{"x": 18.005,"y":1.985},{"x": 21.99,"y":2.239},{"x": 31.244,"y":2.728},{"x": 41.676,"y":4.865},{"x": 42.037,"y":3.507},{"x": 43.232,"y":4.477},{"x": 49.145,"y":4.597},{"x": 52.234,"y":5.907},{"x": 75.581,"y":7.037},{"x": 75.639,"y":9.897},{"x": 82.296,"y":8.727},{"x": 104.584,"y":9.685},{"x": 125.351,"y":10.077} ]

An important check for the model quality is the display of residuals. If a non-linear model would have been more appropriate than linear regression, we might expect some trend in the residuals. Again, the residuals are often calculated as a single point per data value, which is the difference in the expected and actual outcome. Here, because we are communicating the full uncertainty, every data point is subtracted from the distribution of predicted values, leading to a distribution of residuals.

axisLabels "energy" "residuals in output" $ ppoints $ with regressElectricSupplyPars $  with (#electricSupply) (energy, output-(beta_0+energy*beta_energy))
[ {"x": 1.739,"y":-0.5272255115},{"x": 9.027,"y":0.5159943805},{"x": 13.219,"y":-0.42780669150000006},{"x": 18.005,"y":-0.1487083924999999},{"x": 21.99,"y":-0.25765621500000035},{"x": 31.244,"y":-0.6114966540000002},{"x": 41.676,"y":0.5753724340000002},{"x": 42.037,"y":-0.8155069044999999},{"x": 43.232,"y":0.0456542880000006},{"x": 49.145,"y":-0.3728928824999995},{"x": 52.234,"y":0.6557656309999995},{"x": 75.581,"y":-0.34064410850000026},{"x": 75.639,"y":2.5140733385000003},{"x": 82.296,"y":0.7377637639999994},{"x": 104.584,"y":-0.3341938440000014},{"x": 125.351,"y":-1.8336210535000017} ] [ {"x": 1.739,"y":-0.8399044496},{"x": 9.027,"y":0.2484434672000002},{"x": 13.219,"y":-0.6694003216},{"x": 18.005,"y":-0.3606666319999998},{"x": 21.99,"y":-0.4449389359999998},{"x": 31.244,"y":-0.7414776815999997},{"x": 41.676,"y":0.5099873936000003},{"x": 42.037,"y":-0.8786565967999995},{"x": 43.232,"y":-0.010095844799999476},{"x": 49.145,"y":-0.3920291279999999},{"x": 52.234,"y":0.6557567823999992},{"x": 75.581,"y":-0.19608599840000096},{"x": 75.639,"y":2.6589905904},{"x": 82.296,"y":0.9239018255999998},{"x": 104.584,"y":-0.010046257600000885},{"x": 125.351,"y":-1.3808821263999995} ] [ {"x": 1.739,"y":-1.208367844},{"x": 9.027,"y":-0.03482029199999981},{"x": 13.219,"y":-0.903657924},{"x": 18.005,"y":-0.53897398},{"x": 21.99,"y":-0.5766600400000002},{"x": 31.244,"y":-0.7650158239999998},{"x": 41.676,"y":0.608403504},{"x": 42.037,"y":-0.7760202519999999},{"x": 43.232,"y":0.10651052800000027},{"x": 49.145,"y":-0.2062974199999994},{"x": 52.234,"y":0.8776001359999999},{"x": 75.581,"y":0.2986931239999997},{"x": 75.639,"y":3.1544477560000006},{"x": 82.296,"y":1.497181984},{"x": 104.584,"y":0.8237895360000014},{"x": 125.351,"y":-0.3042717960000001} ] [ {"x": 1.739,"y":0.02374799420000001},{"x": 9.027,"y":1.0433278006000002},{"x": 13.219,"y":0.08592913820000025},{"x": 18.005,"y":0.3495030890000004},{"x": 21.99,"y":0.22762912200000018},{"x": 31.244,"y":-0.15622851679999972},{"x": 41.676,"y":0.9968022928000004},{"x": 42.037,"y":-0.3952480213999996},{"x": 43.232,"y":0.46203694960000075},{"x": 49.145,"y":0.024309781000000363},{"x": 52.234,"y":1.0429485052},{"x": 75.581,"y":-0.029191898199999677},{"x": 75.639,"y":2.8253374142000007},{"x": 82.296,"y":1.0274345287999997},{"x": 104.584,"y":-0.11681866480000025},{"x": 125.351,"y":-1.6836077922000001} ] [ {"x": 1.739,"y":-0.8608310812},{"x": 9.027,"y":0.1777806084000002},{"x": 13.219,"y":-0.7686710652},{"x": 18.005,"y":-0.49259895399999976},{"x": 21.99,"y":-0.6040664919999998},{"x": 31.244,"y":-0.9637582351999998},{"x": 41.676,"y":0.21651469920000022},{"x": 42.037,"y":-1.1745928996},{"x": 43.232,"y":-0.3141873055999991},{"x": 49.145,"y":-0.736473266},{"x": 52.234,"y":0.2902320728000003},{"x": 75.581,"y":-0.7209399748000003},{"x": 75.639,"y":2.133740798800001},{"x": 82.296,"y":0.3532220031999991},{"x": 104.584,"y":-0.7328283072000001},{"x": 125.351,"y":-2.2453864907999996} ] [ {"x": 1.739,"y":-0.49310971820000005},{"x": 9.027,"y":0.5470834674},{"x": 13.219,"y":-0.39845854219999977},{"x": 18.005,"y":-0.12134786899999983},{"x": 21.99,"y":-0.23195066200000003},{"x": 31.244,"y":-0.5896342871999996},{"x": 41.676,"y":0.5929023912},{"x": 42.037,"y":-0.7981268705999995},{"x": 43.232,"y":0.0625380384000005},{"x": 49.145,"y":-0.3584648010000002},{"x": 52.234,"y":0.6689108507999997},{"x": 75.581,"y":-0.3371948977999999},{"x": 75.639,"y":2.5174984618000007},{"x": 82.296,"y":0.7384242352000001},{"x": 104.584,"y":-0.34278957919999975},{"x": 125.351,"y":-1.8508413237999992} ] [ {"x": 1.739,"y":-0.5997978795000001},{"x": 9.027,"y":0.49799455650000013},{"x": 13.219,"y":-0.4144168195},{"x": 18.005,"y":-0.09948095249999978},{"x": 21.99,"y":-0.17858909499999998},{"x": 31.244,"y":-0.4631355819999996},{"x": 41.676,"y":0.8018483219999997},{"x": 42.037,"y":-0.5863278484999994},{"x": 43.232,"y":0.28378150400000024},{"x": 49.145,"y":-0.09048912250000019},{"x": 52.234,"y":0.961299823},{"x": 75.581,"y":0.13971241949999946},{"x": 75.639,"y":2.9948641705000005},{"x": 82.296,"y":1.2684022119999998},{"x": 104.584,"y":0.36333714800000116},{"x": 125.351,"y":-0.9805867654999982} ] [ {"x": 1.739,"y":-0.9480297027},{"x": 9.027,"y":0.1666067589000002},{"x": 13.219,"y":-0.7361160666999997},{"x": 18.005,"y":-0.4101187964999997},{"x": 21.99,"y":-0.48001680700000016},{"x": 31.244,"y":-0.7431754491999998},{"x": 41.676,"y":0.5459188931999996},{"x": 42.037,"y":-0.8414229341000001},{"x": 43.232,"y":0.031448302400000294},{"x": 49.145,"y":-0.3291561984999998},{"x": 52.234,"y":0.7297720437999997},{"x": 75.581,"y":-0.03785577330000045},{"x": 75.639,"y":2.8174300273000004},{"x": 82.296,"y":1.1063537272000001},{"x": 104.584,"y":0.25280068880000073},{"x": 125.351,"y":-1.043126534299999} ] [ {"x": 1.739,"y":-0.8399044496},{"x": 9.027,"y":0.2484434672000002},{"x": 13.219,"y":-0.6694003216},{"x": 18.005,"y":-0.3606666319999998},{"x": 21.99,"y":-0.4449389359999998},{"x": 31.244,"y":-0.7414776815999997},{"x": 41.676,"y":0.5099873936000003},{"x": 42.037,"y":-0.8786565967999995},{"x": 43.232,"y":-0.010095844799999476},{"x": 49.145,"y":-0.3920291279999999},{"x": 52.234,"y":0.6557567823999992},{"x": 75.581,"y":-0.19608599840000096},{"x": 75.639,"y":2.6589905904},{"x": 82.296,"y":0.9239018255999998},{"x": 104.584,"y":-0.010046257600000885},{"x": 125.351,"y":-1.3808821263999995} ] [ {"x": 1.739,"y":-0.737065196},{"x": 9.027,"y":0.3711235720000001},{"x": 13.219,"y":-0.5353079159999998},{"x": 18.005,"y":-0.21354481999999986},{"x": 21.99,"y":-0.2869683599999999},{"x": 31.244,"y":-0.5583140159999997},{"x": 41.676,"y":0.7215511360000004},{"x": 42.037,"y":-0.6661100679999996},{"x": 43.232,"y":0.20570395200000036},{"x": 49.145,"y":-0.1601317799999995},{"x": 52.234,"y":0.896063624},{"x": 75.581,"y":0.10778071599999972},{"x": 75.639,"y":2.9630152040000004},{"x": 82.296,"y":1.2460494559999997},{"x": 104.584,"y":0.37277822399999927},{"x": 125.351,"y":-0.9415215640000003} ] [ {"x": 1.739,"y":-0.2945827877},{"x": 9.027,"y":0.6887603539},{"x": 13.219,"y":-0.2894813516999999},{"x": 18.005,"y":-0.049703871499999996},{"x": 21.99,"y":-0.19139165700000005},{"x": 31.244,"y":-0.6212611092000002},{"x": 41.676,"y":0.4799007531999999},{"x": 42.037,"y":-0.9139444890999999},{"x": 43.232,"y":-0.0626011775999995},{"x": 49.145,"y":-0.5297283734999993},{"x": 52.234,"y":0.47355153380000026},{"x": 75.581,"y":-0.7146724883000006},{"x": 75.639,"y":2.1395684423000008},{"x": 82.296,"y":0.3085662871999997},{"x": 104.584,"y":-0.9465050711999989},{"x": 125.351,"y":-2.6165497992999995} ] [ {"x": 1.739,"y":-0.240497513},{"x": 9.027,"y":0.7299261910000001},{"x": 13.219,"y":-0.255746673},{"x": 18.005,"y":-0.0244533349999998},{"x": 21.99,"y":-0.17320533000000005},{"x": 31.244,"y":-0.6194793479999996},{"x": 41.676,"y":0.4631897079999998},{"x": 42.037,"y":-0.9312954789999996},{"x": 43.232,"y":-0.08207054399999958},{"x": 49.145,"y":-0.5596797149999997},{"x": 52.234,"y":0.4381243220000002},{"x": 75.581,"y":-0.7914869270000002},{"x": 75.639,"y":2.062651187},{"x": 82.296,"y":0.21984816799999862},{"x": 104.584,"y":-1.0747331280000019},{"x": 125.351,"y":-2.7815915170000007} ] [ {"x": 1.739,"y":0.10774883939999999},{"x": 9.027,"y":1.0900636442000002},{"x": 13.219,"y":0.1112304474000001},{"x": 18.005,"y":0.35033262300000034},{"x": 21.99,"y":0.20808255399999975},{"x": 31.244,"y":-0.2230926375999993},{"x": 41.676,"y":0.8765972696000004},{"x": 42.037,"y":-0.5172989097999996},{"x": 43.232,"y":0.3338757872000011},{"x": 49.145,"y":-0.13408573299999915},{"x": 52.234,"y":0.8687583164000001},{"x": 75.581,"y":-0.3227599673999997},{"x": 75.639,"y":2.5314727794000014},{"x": 82.296,"y":0.6995313216000003},{"x": 104.584,"y":-0.558684873599999},{"x": 125.351,"y":-2.2316598253999995} ] [ {"x": 1.739,"y":-0.5111451059},{"x": 9.027,"y":0.5167000213000001},{"x": 13.219,"y":-0.4359444938999999},{"x": 18.005,"y":-0.16694274049999946},{"x": 21.99,"y":-0.28429731899999977},{"x": 31.244,"y":-0.6576599963999996},{"x": 41.676,"y":0.5072017444000005},{"x": 42.037,"y":-0.8844391596999999},{"x": 43.232,"y":-0.02579893919999865},{"x": 49.145,"y":-0.4568201744999989},{"x": 52.234,"y":0.5653217846},{"x": 75.581,"y":-0.4803407860999993},{"x": 75.639,"y":2.3742543041000017},{"x": 82.296,"y":0.5839011224000004},{"x": 104.584,"y":-0.5350752503999985},{"x": 125.351,"y":-2.0783125230999993} ] [ {"x": 1.739,"y":-0.7427091205},{"x": 9.027,"y":0.3636904435000001},{"x": 13.219,"y":-0.5437701804999999},{"x": 18.005,"y":-0.2231820474999997},{"x": 21.99,"y":-0.29758390499999976},{"x": 31.244,"y":-0.5712014179999998},{"x": 41.676,"y":0.7061026780000006},{"x": 42.037,"y":-0.6816471514999995},{"x": 43.232,"y":0.18987349600000059},{"x": 49.145,"y":-0.17741387749999937},{"x": 52.234,"y":0.8780231770000002},{"x": 75.581,"y":0.08400858049999993},{"x": 75.639,"y":2.939228829500001},{"x": 82.296,"y":1.220628788},{"x": 104.584,"y":0.34188585200000077},{"x": 125.351,"y":-0.9775122344999989} ] [ {"x": 1.739,"y":-0.3536469511},{"x": 9.027,"y":0.6728367777000002},{"x": 13.219,"y":-0.28059080309999995},{"x": 18.005,"y":-0.012483074499999747},{"x": 21.99,"y":-0.13058205099999975},{"x": 31.244,"y":-0.5056733755999998},{"x": 41.676,"y":0.6572396676000007},{"x": 42.037,"y":-0.7344686712999997},{"x": 43.232,"y":0.12394832320000049},{"x": 49.145,"y":-0.3081774604999996},{"x": 52.234,"y":0.7133874734000001},{"x": 75.581,"y":-0.33663631689999995},{"x": 75.639,"y":2.517947938900001},{"x": 82.296,"y":0.7263512295999988},{"x": 104.584,"y":-0.3967885416000012},{"x": 125.351,"y":-1.9439050899000012} ] [ {"x": 1.739,"y":-0.6207594581},{"x": 9.027,"y":0.4049007267},{"x": 13.219,"y":-0.5490005501000002},{"x": 18.005,"y":-0.28143363949999967},{"x": 21.99,"y":-0.3999829209999999},{"x": 31.244,"y":-0.7761199475999998},{"x": 41.676,"y":0.3856142796000004},{"x": 42.037,"y":-1.0061348522999993},{"x": 43.232,"y":-0.14785289279999958},{"x": 49.145,"y":-0.5806468454999996},{"x": 52.234,"y":0.4405690313999999},{"x": 75.581,"y":-0.6120929699000008},{"x": 75.639,"y":2.2424847319000003},{"x": 82.296,"y":0.45013578160000023},{"x": 104.584,"y":-0.6755225335999988},{"x": 125.351,"y":-2.2249857528999986} ] [ {"x": 1.739,"y":-0.5785640468},{"x": 9.027,"y":0.4532668876000001},{"x": 13.219,"y":-0.4970850227999999},{"x": 18.005,"y":-0.2254658060000001},{"x": 21.99,"y":-0.3406409880000001},{"x": 31.244,"y":-0.7089426527999998},{"x": 41.676,"y":0.46162434880000003},{"x": 42.037,"y":-0.9298191244000003},{"x": 43.232,"y":-0.0705253584000003},{"x": 49.145,"y":-0.4983127740000004},{"x": 52.234,"y":0.5255185591999991},{"x": 75.581,"y":-0.5073755372000015},{"x": 75.639,"y":2.3472512731999995},{"x": 82.296,"y":0.5605388047999984},{"x": 104.584,"y":-0.5462482608000006},{"x": 125.351,"y":-2.078128061200001} ] [ {"x": 1.739,"y":0.328423056},{"x": 9.027,"y":1.3569394080000001},{"x": 13.219,"y":0.4046809760000002},{"x": 18.005,"y":0.6741235200000004},{"x": 21.99,"y":0.5571359600000001},{"x": 31.244,"y":0.18462557600000018},{"x": 41.676,"y":1.3504481040000003},{"x": 42.037,"y":-0.04115955199999943},{"x": 43.232,"y":0.8175907280000008},{"x": 49.145,"y":0.3871140799999999},{"x": 52.234,"y":1.4095405359999997},{"x": 75.581,"y":0.3660282239999999},{"x": 75.639,"y":3.2206286560000006},{"x": 82.296,"y":1.4308885839999999},{"x": 104.584,"y":0.31396493599999964},{"x": 125.351,"y":-1.2273596960000006} ] [ {"x": 1.739,"y":-0.9507632560999999},{"x": 9.027,"y":0.19236491270000022},{"x": 13.219,"y":-0.6939697081},{"x": 18.005,"y":-0.34926204949999984},{"x": 21.99,"y":-0.40358110100000033},{"x": 31.244,"y":-0.6305621555999998},{"x": 41.676,"y":0.6993150475999999},{"x": 42.037,"y":-0.6866154863000005},{"x": 43.232,"y":0.1909274832000003},{"x": 49.145,"y":-0.14656073550000048},{"x": 52.234,"y":0.9244436434000001},{"x": 75.581,"y":0.248088588099999},{"x": 75.639,"y":3.1036011339},{"x": 82.296,"y":1.4185497095999997},{"x": 104.584,"y":0.6521293783999997},{"x": 125.351,"y":-0.5626113349000015} ] [ {"x": 1.739,"y":-0.7461261767},{"x": 9.027,"y":0.34397887690000006},{"x": 13.219,"y":-0.5728542207},{"x": 18.005,"y":-0.26296662650000013},{"x": 21.99,"y":-0.34627814700000004},{"x": 31.244,"y":-0.6405857531999999},{"x": 41.676,"y":0.6133944772},{"x": 42.037,"y":-0.7751624760999998},{"x": 43.232,"y":0.09368639040000026},{"x": 49.145,"y":-0.2868212684999998},{"x": 52.234,"y":0.7617093998},{"x": 75.581,"y":-0.08450441930000085},{"x": 75.639,"y":2.7705861533},{"x": 82.296,"y":1.0371023911999995},{"x": 104.584,"y":0.10852794479999872},{"x": 125.351,"y":-1.2573010003000018} ] [ {"x": 1.739,"y":-0.7842094689000001},{"x": 9.027,"y":0.27120616230000016},{"x": 13.219,"y":-0.6655800168999999},{"x": 18.005,"y":-0.37847282550000005},{"x": 21.99,"y":-0.4807521490000002},{"x": 31.244,"y":-0.8191069444000001},{"x": 41.676,"y":0.3852190524000001},{"x": 42.037,"y":-1.0050561886999998},{"x": 43.232,"y":-0.14189528319999933},{"x": 49.145,"y":-0.5505476394999995},{"x": 52.234,"y":0.48328000660000026},{"x": 75.581,"y":-0.47406086310000006},{"x": 75.639,"y":2.380753641100001},{"x": 82.296,"y":0.6155838904},{"x": 104.584,"y":-0.4190769783999997},{"x": 125.351,"y":-1.8837526900999997} ] [ {"x": 1.739,"y":-0.037658633100000005},{"x": 9.027,"y":0.9620927117000002},{"x": 13.219,"y":-0.006711125099999826},{"x": 18.005,"y":0.2438415555000002},{"x": 21.99,"y":0.11112559900000019},{"x": 31.244,"y":-0.2979093975999998},{"x": 41.676,"y":0.8267390696000003},{"x": 42.037,"y":-0.5662934172999994},{"x": 43.232,"y":0.28774031719999993},{"x": 49.145,"y":-0.16607435049999975},{"x": 52.234,"y":0.8441601313999998},{"x": 75.581,"y":-0.2915004549000004},{"x": 75.639,"y":2.5628710569000006},{"x": 82.296,"y":0.7468564715999992},{"x": 104.584,"y":-0.45803568360000035},{"x": 125.351,"y":-2.0813255879000003} ] [ {"x": 1.739,"y":-0.8105885006},{"x": 9.027,"y":0.2806090242000001},{"x": 13.219,"y":-0.6355956925999999},{"x": 18.005,"y":-0.32499067699999995},{"x": 21.99,"y":-0.4077048459999997},{"x": 31.244,"y":-0.7006252775999999},{"x": 41.676,"y":0.5549187095999999},{"x": 42.037,"y":-0.8335841297999997},{"x": 43.232,"y":0.03544386720000059},{"x": 49.145,"y":-0.3441774329999996},{"x": 52.234,"y":0.7048162763999999},{"x": 75.581,"y":-0.13789782739999978},{"x": 75.639,"y":2.717201439400001},{"x": 82.296,"y":0.9847155615999998},{"x": 104.584,"y":0.059482086400000966},{"x": 125.351,"y":-1.3032338853999992} ] [ {"x": 1.739,"y":-0.4811281569},{"x": 9.027,"y":0.5932945783000001},{"x": 13.219,"y":-0.3325588649},{"x": 18.005,"y":-0.03296978549999996},{"x": 21.99,"y":-0.12485622900000015},{"x": 31.244,"y":-0.4390765924000002},{"x": 41.676,"y":0.7924560604000002},{"x": 42.037,"y":-0.5968776927000001},{"x": 43.232,"y":0.26939977279999994},{"x": 49.145,"y":-0.12383147949999973},{"x": 52.234,"y":0.9180522786000003},{"x": 75.581,"y":0.021600384900000158},{"x": 75.639,"y":2.8765661531000006},{"x": 82.296,"y":1.1287578584000002},{"x": 104.584,"y":0.152224093600001},{"x": 125.351,"y":-1.2582912821} ] [ {"x": 1.739,"y":-0.3755597301},{"x": 9.027,"y":0.6118530307000001},{"x": 13.219,"y":-0.36404786210000006},{"x": 18.005,"y":-0.12159787949999967},{"x": 21.99,"y":-0.2610604409999997},{"x": 31.244,"y":-0.6857624595999998},{"x": 41.676,"y":0.42122463159999946},{"x": 42.037,"y":-0.9724190283000005},{"x": 43.232,"y":-0.12040842880000024},{"x": 49.145,"y":-0.5842338055000003},{"x": 52.234,"y":0.4207709993999993},{"x": 75.581,"y":-0.7544160579000012},{"x": 75.639,"y":2.0998572599000003},{"x": 82.296,"y":0.2725723735999992},{"x": 104.584,"y":-0.9700533656000001},{"x": 125.351,"y":-2.6285018009000005} ] [ {"x": 1.739,"y":-0.6716648897},{"x": 9.027,"y":0.38296946789999997},{"x": 13.219,"y":-0.5542660936999999},{"x": 18.005,"y":-0.26767196149999983},{"x": 21.99,"y":-0.37037847700000004},{"x": 31.244,"y":-0.7097253011999998},{"x": 41.676,"y":0.4934823852000001},{"x": 42.037,"y":-0.8968315550999999},{"x": 43.232,"y":-0.03379875359999929},{"x": 49.145,"y":-0.4430849834999995},{"x": 52.234,"y":0.5904115218000001},{"x": 75.581,"y":-0.3694321463000003},{"x": 75.639,"y":2.4853761402999996},{"x": 82.296,"y":0.7194927591999996},{"x": 104.584,"y":-0.3175573832000005},{"x": 125.351,"y":-1.7844593172999996} ] [ {"x": 1.739,"y":-0.3152757747},{"x": 9.027,"y":0.6794876629},{"x": 13.219,"y":-0.29218517870000005},{"x": 18.005,"y":-0.04490803650000008},{"x": 21.99,"y":-0.18035132700000034},{"x": 31.244,"y":-0.5957197611999998},{"x": 41.676,"y":0.5217890451999994},{"x": 42.037,"y":-0.8714905100999997},{"x": 43.232,"y":-0.018274633599999923},{"x": 49.145,"y":-0.47613615850000013},{"x": 52.234,"y":0.5319842117999993},{"x": 75.581,"y":-0.6196550613000005},{"x": 75.639,"y":2.2346767553000007},{"x": 82.296,"y":0.4141061191999995},{"x": 104.584,"y":-0.8060399432},{"x": 125.351,"y":-2.4435427822999998} ] [ {"x": 1.739,"y":-0.19100799899999998},{"x": 9.027,"y":0.777418793},{"x": 13.219,"y":-0.2094026790000001},{"x": 18.005,"y":0.02057929500000033},{"x": 21.99,"y":-0.12926459},{"x": 31.244,"y":-0.5780742039999995},{"x": 41.676,"y":0.5017364839999994},{"x": 42.037,"y":-0.8928476170000006},{"x": 43.232,"y":-0.0439501120000001},{"x": 49.145,"y":-0.5231794450000002},{"x": 52.234,"y":0.47377820599999954},{"x": 75.581,"y":-0.7622301210000009},{"x": 75.639,"y":2.091892101},{"x": 82.296,"y":0.24726506400000048},{"x": 104.584,"y":-1.053423144},{"x": 125.351,"y":-2.765971690999999} ] [ {"x": 1.739,"y":-0.6020362674},{"x": 9.027,"y":0.4664139518000001},{"x": 13.219,"y":-0.4628748354000001},{"x": 18.005,"y":-0.1672078829999999},{"x": 21.99,"y":-0.2623600340000003},{"x": 31.244,"y":-0.5841640503999996},{"x": 41.676,"y":0.6388195783999997},{"x": 42.037,"y":-0.7508100142000003},{"x": 43.232,"y":0.11448814880000047},{"x": 49.145,"y":-0.2835888070000001},{"x": 52.234,"y":0.7557635155999991},{"x": 75.581,"y":-0.1598212446000007},{"x": 75.639,"y":2.6950969926},{"x": 82.296,"y":0.9418332863999987},{"x": 104.584,"y":-0.052965494400000424},{"x": 125.351,"y":-1.4804994266000016} ] [ {"x": 1.739,"y":0.414636874},{"x": 9.027,"y":1.3925890820000002},{"x": 13.219,"y":0.4112465540000002},{"x": 18.005,"y":0.6474838300000003},{"x": 21.99,"y":0.5028483399999999},{"x": 31.244,"y":0.06613370400000029},{"x": 41.676,"y":1.1595790160000004},{"x": 42.037,"y":-0.23453325799999947},{"x": 43.232,"y":0.6159261120000004},{"x": 49.145,"y":0.1444250700000005},{"x": 52.234,"y":1.1454200439999997},{"x": 75.581,"y":-0.06007375400000026},{"x": 75.639,"y":2.7941242740000005},{"x": 82.296,"y":0.9581979360000004},{"x": 104.584,"y":-0.31335985599999816},{"x": 125.351,"y":-1.9987659339999997} ] [ {"x": 1.739,"y":0.578564958},{"x": 9.027,"y":1.4862316940000002},{"x": 13.219,"y":0.46446151800000013},{"x": 18.005,"y":0.6545426100000002},{"x": 21.99,"y":0.47147578},{"x": 31.244,"y":-0.05448443199999975},{"x": 41.676,"y":0.9383546720000004},{"x": 42.037,"y":-0.4592390859999993},{"x": 43.232,"y":0.3796957040000004},{"x": 49.145,"y":-0.14883031000000013},{"x": 52.234,"y":0.8223743479999994},{"x": 75.581,"y":-0.6082779179999998},{"x": 75.639,"y":2.2453607580000003},{"x": 82.296,"y":0.34523431199999877},{"x": 104.584,"y":-1.1412689520000008},{"x": 125.351,"y":-3.0269519779999996} ] [ {"x": 1.739,"y":0.06426985319999999},{"x": 9.027,"y":1.0822535876000001},{"x": 13.219,"y":0.12393687720000002},{"x": 18.005,"y":0.3864626940000002},{"x": 21.99,"y":0.26371601199999994},{"x": 31.244,"y":-0.12216825280000032},{"x": 41.676,"y":1.0285779487999998},{"x": 42.037,"y":-0.3635514244000002},{"x": 43.232,"y":0.49347184160000035},{"x": 49.145,"y":0.05444972599999964},{"x": 52.234,"y":1.0724119592},{"x": 75.581,"y":-0.00484143720000052},{"x": 75.639,"y":2.8496751732000005},{"x": 82.296,"y":1.050314404799999},{"x": 104.584,"y":-0.09881986080000082},{"x": 125.351,"y":-1.6701569612000018} ] [ {"x": 1.739,"y":-0.6888642110000001},{"x": 9.027,"y":0.3982986770000001},{"x": 13.219,"y":-0.5202267309999999},{"x": 18.005,"y":-0.2122712449999995},{"x": 21.99,"y":-0.2971915100000002},{"x": 31.244,"y":-0.5952349560000001},{"x": 41.676,"y":0.6545338760000003},{"x": 42.037,"y":-0.7341688129999997},{"x": 43.232,"y":0.13419763200000023},{"x": 49.145,"y":-0.24869710499999975},{"x": 52.234,"y":0.798586534},{"x": 75.581,"y":-0.05705246900000027},{"x": 75.639,"y":2.7980146890000013},{"x": 82.296,"y":1.0618434959999998},{"x": 104.584,"y":0.12427138400000004},{"x": 125.351,"y":-1.2499411990000002} ] [ {"x": 1.739,"y":-1.1593079706},{"x": 9.027,"y":-0.06614268579999982},{"x": 13.219,"y":-0.9812155625999996},{"x": 18.005,"y":-0.6693183269999998},{"x": 21.99,"y":-0.7509565460000003},{"x": 31.244,"y":-1.0413783975999995},{"x": 41.676,"y":0.21698222960000013},{"x": 42.037,"y":-1.1714231398000003},{"x": 43.232,"y":-0.3020724927999998},{"x": 49.145,"y":-0.6800972830000003},{"x": 52.234,"y":0.36973045640000013},{"x": 75.581,"y":-0.46667995740000023},{"x": 75.639,"y":2.3884349694000004},{"x": 82.296,"y":0.6577464815999985},{"x": 104.584,"y":-0.2614692336000015},{"x": 125.351,"y":-1.6185781154000018} ] [ {"x": 1.739,"y":-0.16917107799999997},{"x": 9.027,"y":0.798811146},{"x": 13.219,"y":-0.18826603800000008},{"x": 18.005,"y":0.041423989999999966},{"x": 21.99,"y":-0.10866298000000008},{"x": 31.244,"y":-0.5580370879999998},{"x": 41.676,"y":0.5211372479999996},{"x": 42.037,"y":-0.8734688739999998},{"x": 43.232,"y":-0.02464426399999997},{"x": 49.145,"y":-0.5042342900000003},{"x": 52.234,"y":0.49253493199999987},{"x": 75.581,"y":-0.7448975620000011},{"x": 75.639,"y":2.109221122},{"x": 82.296,"y":0.26418800799999964},{"x": 104.584,"y":-1.0378597679999988},{"x": 125.351,"y":-2.751675102} ] [ {"x": 1.739,"y":-0.32709641740000006},{"x": 9.027,"y":0.7570230018000002},{"x": 13.219,"y":-0.16325298540000022},{"x": 18.005,"y":0.14270386700000004},{"x": 21.99,"y":0.05611946599999973},{"x": 31.244,"y":-0.24578845039999964},{"x": 41.676,"y":0.9996239783999998},{"x": 42.037,"y":-0.38922946420000004},{"x": 43.232,"y":0.4786379488000003},{"x": 49.145,"y":0.0932739429999998},{"x": 52.234,"y":1.1392676155999997},{"x": 75.581,"y":0.27387890539999926},{"x": 75.639,"y":3.1289218426000005},{"x": 82.296,"y":1.3899706863999999},{"x": 104.584,"y":0.44309110559999887},{"x": 125.351,"y":-0.939793776600002} ] [ {"x": 1.739,"y":0.266835176},{"x": 9.027,"y":1.2011905680000001},{"x": 13.219,"y":0.1947714960000002},{"x": 18.005,"y":0.4023789200000003},{"x": 21.99,"y":0.23390515999999995},{"x": 31.244,"y":-0.25816690399999986},{"x": 41.676,"y":0.772874184},{"x": 42.037,"y":-0.6233975920000003},{"x": 43.232,"y":0.21991328799999987},{"x": 49.145,"y":-0.28695932000000024},{"x": 52.234,"y":0.6955572559999998},{"x": 75.581,"y":-0.6495982960000006},{"x": 75.639,"y":2.2042527759999997},{"x": 82.296,"y":0.3285042639999993},{"x": 104.584,"y":-1.0763803439999986},{"x": 125.351,"y":-2.886014615999999} ] [ {"x": 1.739,"y":0.414636874},{"x": 9.027,"y":1.3925890820000002},{"x": 13.219,"y":0.4112465540000002},{"x": 18.005,"y":0.6474838300000003},{"x": 21.99,"y":0.5028483399999999},{"x": 31.244,"y":0.06613370400000029},{"x": 41.676,"y":1.1595790160000004},{"x": 42.037,"y":-0.23453325799999947},{"x": 43.232,"y":0.6159261120000004},{"x": 49.145,"y":0.1444250700000005},{"x": 52.234,"y":1.1454200439999997},{"x": 75.581,"y":-0.06007375400000026},{"x": 75.639,"y":2.7941242740000005},{"x": 82.296,"y":0.9581979360000004},{"x": 104.584,"y":-0.31335985599999816},{"x": 125.351,"y":-1.9987659339999997} ] [ {"x": 1.739,"y":-0.24202004109999997},{"x": 9.027,"y":0.7749164077000001},{"x": 13.219,"y":-0.18400269310000006},{"x": 18.005,"y":0.07783537550000008},{"x": 21.99,"y":-0.04548395100000002},{"x": 31.244,"y":-0.43269801559999976},{"x": 41.676,"y":0.7165491075999997},{"x": 42.037,"y":-0.6756321412999999},{"x": 43.232,"y":0.18121940320000007},{"x": 49.145,"y":-0.2586524104999999},{"x": 52.234,"y":0.7588659334000001},{"x": 75.581,"y":-0.3217424269000002},{"x": 75.639,"y":2.5327658489000004},{"x": 82.296,"y":0.7324484695999995},{"x": 104.584,"y":-0.4198885816000004},{"x": 125.351,"y":-1.9942098998999995} ] [ {"x": 1.739,"y":1.106624628},{"x": 9.027,"y":1.9962900040000002},{"x": 13.219,"y":0.9641655880000002},{"x": 18.005,"y":1.1424252600000002},{"x": 21.99,"y":0.9495154800000001},{"x": 31.244,"y":0.4006978880000003},{"x": 41.676,"y":1.3677699520000002},{"x": 42.037,"y":-0.03071547600000013},{"x": 43.232,"y":0.805267664},{"x": 49.145,"y":0.2621365399999993},{"x": 52.234,"y":1.2257113680000007},{"x": 75.581,"y":-0.26260798800000007},{"x": 75.639,"y":2.590887428000002},{"x": 82.296,"y":0.6743181919999994},{"x": 104.584,"y":-0.8672364319999986},{"x": 125.351,"y":-2.8042139479999992} ] [ {"x": 1.739,"y":-0.8807780969999999},{"x": 9.027,"y":0.20001507900000015},{"x": 13.219,"y":-0.7221741369999999},{"x": 18.005,"y":-0.41840161499999984},{"x": 21.99,"y":-0.50680477},{"x": 31.244,"y":-0.8129362119999999},{"x": 41.676,"y":0.42771505199999993},{"x": 42.037,"y":-0.9613031509999996},{"x": 43.232,"y":-0.09398113599999913},{"x": 49.145,"y":-0.4820438349999998},{"x": 52.234,"y":0.562540018},{"x": 75.581,"y":-0.31350426300000045},{"x": 75.639,"y":2.541512203000001},{"x": 82.296,"y":0.7995227919999994},{"x": 104.584,"y":-0.15752903199999935},{"x": 125.351,"y":-1.5498919729999994} ] [ {"x": 1.739,"y":-0.6159091714},{"x": 9.027,"y":0.4617530798},{"x": 13.219,"y":-0.46223701939999984},{"x": 18.005,"y":-0.16052056299999973},{"x": 21.99,"y":-0.2506356740000002},{"x": 31.244,"y":-0.5607426343999999},{"x": 41.676,"y":0.6754270424},{"x": 42.037,"y":-0.7137462461999999},{"x": 43.232,"y":0.15306239680000022},{"x": 49.145,"y":-0.23754052699999928},{"x": 52.234,"y":0.8057162916000005},{"x": 75.581,"y":-0.08035786060000039},{"x": 75.639,"y":2.7746336886000007},{"x": 82.296,"y":1.0297844304000003},{"x": 104.584,"y":0.0631576815999999},{"x": 125.351,"y":-1.3381267626} ] [ {"x": 1.739,"y":-2.0663884734},{"x": 9.027,"y":-0.8430974061999998},{"x": 13.219,"y":-1.6833229613999996},{"x": 18.005,"y":-1.2859726529999997},{"x": 21.99,"y":-1.2964594939999996},{"x": 31.244,"y":-1.4216530263999991},{"x": 41.676,"y":0.02296887440000006},{"x": 42.037,"y":-1.3589909122},{"x": 43.232,"y":-0.4683037791999993},{"x": 49.145,"y":-0.7407531369999996},{"x": 52.234,"y":0.36422807960000014},{"x": 75.581,"y":-0.05532631860000059},{"x": 75.639,"y":2.8008241866000008},{"x": 82.296,"y":1.1889951023999998},{"x": 104.584,"y":0.6677271696000009},{"x": 125.351,"y":-0.31859108060000096} ] [ {"x": 1.739,"y":-1.0878648068},{"x": 9.027,"y":0.018012207599999996},{"x": 13.219,"y":-0.8897489828},{"x": 18.005,"y":-0.5695040060000001},{"x": 21.99,"y":-0.644191588},{"x": 31.244,"y":-0.9184726128},{"x": 41.676,"y":0.35808350880000006},{"x": 42.037,"y":-1.0296922044000003},{"x": 43.232,"y":-0.15825723840000006},{"x": 49.145,"y":-0.5259685739999993},{"x": 52.234,"y":0.5292469991999997},{"x": 75.581,"y":-0.26644157720000106},{"x": 75.639,"y":2.5887745132000006},{"x": 82.296,"y":0.8696971647999998},{"x": 104.584,"y":-0.01064382080000037},{"x": 125.351,"y":-1.3315309012000007} ] [ {"x": 1.739,"y":-0.6716648897},{"x": 9.027,"y":0.38296946789999997},{"x": 13.219,"y":-0.5542660936999999},{"x": 18.005,"y":-0.26767196149999983},{"x": 21.99,"y":-0.37037847700000004},{"x": 31.244,"y":-0.7097253011999998},{"x": 41.676,"y":0.4934823852000001},{"x": 42.037,"y":-0.8968315550999999},{"x": 43.232,"y":-0.03379875359999929},{"x": 49.145,"y":-0.4430849834999995},{"x": 52.234,"y":0.5904115218000001},{"x": 75.581,"y":-0.3694321463000003},{"x": 75.639,"y":2.4853761402999996},{"x": 82.296,"y":0.7194927591999996},{"x": 104.584,"y":-0.3175573832000005},{"x": 125.351,"y":-1.7844593172999996} ] [ {"x": 1.739,"y":-0.8647370302999999},{"x": 9.027,"y":0.2536279721000001},{"x": 13.219,"y":-0.6469502263},{"x": 18.005,"y":-0.31850443849999954},{"x": 21.99,"y":-0.3863637230000001},{"x": 31.244,"y":-0.6447880187999999},{"x": 41.676,"y":0.6496433348000004},{"x": 42.037,"y":-0.7375138048999994},{"x": 43.232,"y":0.13596879360000091},{"x": 49.145,"y":-0.22161061649999958},{"x": 52.234,"y":0.8388979582000005},{"x": 75.581,"y":0.08321446630000029},{"x": 75.639,"y":2.9385299397000013},{"x": 82.296,"y":1.2308593608000002},{"x": 104.584,"y":0.38870886319999975},{"x": 125.351,"y":-0.8965939627000008} ] [ {"x": 1.739,"y":-0.5874322305},{"x": 9.027,"y":0.4935322135000002},{"x": 13.219,"y":-0.42855849049999994},{"x": 18.005,"y":-0.12467349750000012},{"x": 21.99,"y":-0.2129830049999999},{"x": 31.244,"y":-0.5188969779999999},{"x": 41.676,"y":0.7219994379999992},{"x": 42.037,"y":-0.6670102815000001},{"x": 43.232,"y":0.20033981599999962},{"x": 49.145,"y":-0.1875839275000004},{"x": 52.234,"y":0.8570725169999998},{"x": 75.581,"y":-0.01842310950000048},{"x": 75.639,"y":2.8365947195},{"x": 82.296,"y":1.0947617479999998},{"x": 104.584,"y":0.13823369200000002},{"x": 125.351,"y":-1.2536412245000008} ] [ {"x": 1.739,"y":-0.6423217699},{"x": 9.027,"y":0.4396294693},{"x": 13.219,"y":-0.48189363789999984},{"x": 18.005,"y":-0.1773606204999998},{"x": 21.99,"y":-0.2651305589999997},{"x": 31.244,"y":-0.5697915403999994},{"x": 41.676,"y":0.6725173684000003},{"x": 42.037,"y":-0.7164434716999994},{"x": 43.232,"y":0.15106842880000038},{"x": 49.145,"y":-0.23605469449999994},{"x": 52.234,"y":0.8090200005999995},{"x": 75.581,"y":-0.06331444210000026},{"x": 75.639,"y":2.7917112401000006},{"x": 82.296,"y":1.0507796263999998},{"x": 104.584,"y":0.09726936560000077},{"x": 125.351,"y":-1.2917936990999994} ] [ {"x": 1.739,"y":-0.6279388362},{"x": 9.027,"y":0.4212768934000002},{"x": 13.219,"y":-0.5190754201999996},{"x": 18.005,"y":-0.2360396789999999},{"x": 21.99,"y":-0.34170904199999974},{"x": 31.244,"y":-0.6879362151999997},{"x": 41.676,"y":0.5075152792000006},{"x": 42.037,"y":-0.8830670645999992},{"x": 43.232,"y":-0.020922745599999182},{"x": 49.145,"y":-0.43460529099999956},{"x": 52.234,"y":0.5965945428000001},{"x": 75.581,"y":-0.38060761980000013},{"x": 75.639,"y":2.4741575438000014},{"x": 82.296,"y":0.7033246832},{"x": 104.584,"y":-0.350296587199999},{"x": 125.351,"y":-1.8326387857999986} ]

Hypothesis testing

Often, we want to know whether the slope could be zero, that is: is it possible that there is no sensitivity in the outcome with respect to the predictor variable? Classical statisticians calculate the p-value, which can be tricky to undestand and is perhaps only tangentially related to what we really want to know.

Instead, we will base our tests directly on the parameter estimates. Could beta_energy be zero? Is that possible? A tempting approach is to calculate the probability that beta_energy exactly equals 0. However, this probability itself also always equals exactly 0, no matter what your data is (the estimated probability distribution is continuous, and the probability that a draw from any continuous distribution equaling any given number is always exactly zero). Instead, we will calculate the probability that beta_energy is positive.

regressElectricSupplyPars <#> beta_energy > 0 ⇒ >99%

This appears overwhelmingly likely; you can also tell from the plots of the data and the fits that the slope are all positive. So the beta_energy is probably not zero.

Another similar approach is to consider, for all intents and purposes, a certain region around zero slope to be equivalent to zero. John Kruschke calls this the Region of Practical Equivalence. For instance, we might say that a slope of 0.01 is so small that is makes no difference to decisions or policy making. Then we can calculate the probability that the beta_energy is outside this practical equivalence to zero.

regressElectricSupplyPars <#> beta_energy > 0.01 || beta_energy < -0.01 ⇒ >99%

That also appears overwhelmingly likely.

Let's see what this looks like in the case where there is no obvious association. Here's a different dataset with a similar simple model fit.

axisLabels "height2" "legcircumf18" $ over [plines $ with regress0BerkeleyStudyGroupPars $ #berkeleyStudyGroup <#> (height2, beta_0+height2*beta_height2),scatterPlot (#berkeleyStudyGroup <#> (height2,legcircumf18))]
[ {"x": 80.9,"y":35.7473611},{"x": 81.3,"y":35.8003127},{"x": 81.3,"y":35.8003127},{"x": 81.8,"y":35.8665022},{"x": 82.2,"y":35.9194538},{"x": 82.2,"y":35.9194538},{"x": 83,"y":36.025357},{"x": 83.8,"y":36.1312602},{"x": 83.8,"y":36.1312602},{"x": 84.2,"y":36.1842118},{"x": 85.1,"y":36.3033529},{"x": 85.1,"y":36.3033529},{"x": 86.1,"y":36.4357319},{"x": 86.2,"y":36.4489698},{"x": 86.4,"y":36.4754456},{"x": 86.4,"y":36.4754456},{"x": 86.4,"y":36.4754456},{"x": 86.4,"y":36.4754456},{"x": 86.4,"y":36.4754456},{"x": 86.4,"y":36.4754456},{"x": 86.7,"y":36.5151593},{"x": 86.9,"y":36.5416351},{"x": 87.1,"y":36.5681109},{"x": 87.4,"y":36.6078246},{"x": 87.5,"y":36.6210625},{"x": 87.6,"y":36.6343004},{"x": 87.7,"y":36.6475383},{"x": 88.1,"y":36.7004899},{"x": 88.2,"y":36.7137278},{"x": 88.4,"y":36.7402036},{"x": 88.4,"y":36.7402036},{"x": 88.6,"y":36.7666794},{"x": 88.6,"y":36.7666794},{"x": 88.6,"y":36.7666794},{"x": 88.7,"y":36.7799173},{"x": 88.9,"y":36.8063931},{"x": 89.2,"y":36.8461068},{"x": 89.6,"y":36.8990584},{"x": 89.7,"y":36.9122963},{"x": 89.7,"y":36.9122963},{"x": 89.7,"y":36.9122963},{"x": 90,"y":36.95201},{"x": 90,"y":36.95201},{"x": 90,"y":36.95201},{"x": 90.2,"y":36.9784858},{"x": 90.6,"y":37.0314374},{"x": 91,"y":37.084389},{"x": 91.4,"y":37.1373406},{"x": 91.4,"y":37.1373406},{"x": 91.4,"y":37.1373406},{"x": 91.4,"y":37.1373406},{"x": 91.4,"y":37.1373406},{"x": 91.4,"y":37.1373406},{"x": 92.2,"y":37.2432438},{"x": 92.2,"y":37.2432438},{"x": 94,"y":37.481526},{"x": 94,"y":37.481526},{"x": 94,"y":37.481526} ] [ {"x": 80.9,"y":34.741865000000004},{"x": 81.3,"y":34.792204999999996},{"x": 81.3,"y":34.792204999999996},{"x": 81.8,"y":34.85513},{"x": 82.2,"y":34.90547},{"x": 82.2,"y":34.90547},{"x": 83,"y":35.00615},{"x": 83.8,"y":35.10683},{"x": 83.8,"y":35.10683},{"x": 84.2,"y":35.15717},{"x": 85.1,"y":35.270435},{"x": 85.1,"y":35.270435},{"x": 86.1,"y":35.396285},{"x": 86.2,"y":35.40887},{"x": 86.4,"y":35.43404},{"x": 86.4,"y":35.43404},{"x": 86.4,"y":35.43404},{"x": 86.4,"y":35.43404},{"x": 86.4,"y":35.43404},{"x": 86.4,"y":35.43404},{"x": 86.7,"y":35.471795},{"x": 86.9,"y":35.496965},{"x": 87.1,"y":35.522135},{"x": 87.4,"y":35.55989},{"x": 87.5,"y":35.572475},{"x": 87.6,"y":35.58506},{"x": 87.7,"y":35.597645},{"x": 88.1,"y":35.647985},{"x": 88.2,"y":35.66057},{"x": 88.4,"y":35.68574},{"x": 88.4,"y":35.68574},{"x": 88.6,"y":35.71091},{"x": 88.6,"y":35.71091},{"x": 88.6,"y":35.71091},{"x": 88.7,"y":35.723495},{"x": 88.9,"y":35.748665},{"x": 89.2,"y":35.78642},{"x": 89.6,"y":35.83676},{"x": 89.7,"y":35.849345},{"x": 89.7,"y":35.849345},{"x": 89.7,"y":35.849345},{"x": 90,"y":35.887100000000004},{"x": 90,"y":35.887100000000004},{"x": 90,"y":35.887100000000004},{"x": 90.2,"y":35.91227},{"x": 90.6,"y":35.96261},{"x": 91,"y":36.012950000000004},{"x": 91.4,"y":36.06329},{"x": 91.4,"y":36.06329},{"x": 91.4,"y":36.06329},{"x": 91.4,"y":36.06329},{"x": 91.4,"y":36.06329},{"x": 91.4,"y":36.06329},{"x": 92.2,"y":36.16397},{"x": 92.2,"y":36.16397},{"x": 94,"y":36.3905},{"x": 94,"y":36.3905},{"x": 94,"y":36.3905} ] [ {"x": 80.9,"y":35.31519816},{"x": 81.3,"y":35.34422312},{"x": 81.3,"y":35.34422312},{"x": 81.8,"y":35.38050432},{"x": 82.2,"y":35.40952928},{"x": 82.2,"y":35.40952928},{"x": 83,"y":35.4675792},{"x": 83.8,"y":35.52562912},{"x": 83.8,"y":35.52562912},{"x": 84.2,"y":35.55465408},{"x": 85.1,"y":35.61996024},{"x": 85.1,"y":35.61996024},{"x": 86.1,"y":35.69252264},{"x": 86.2,"y":35.69977888},{"x": 86.4,"y":35.714291360000004},{"x": 86.4,"y":35.714291360000004},{"x": 86.4,"y":35.714291360000004},{"x": 86.4,"y":35.714291360000004},{"x": 86.4,"y":35.714291360000004},{"x": 86.4,"y":35.714291360000004},{"x": 86.7,"y":35.73606008},{"x": 86.9,"y":35.75057256},{"x": 87.1,"y":35.76508504},{"x": 87.4,"y":35.78685376},{"x": 87.5,"y":35.79411},{"x": 87.6,"y":35.80136624},{"x": 87.7,"y":35.80862248},{"x": 88.1,"y":35.83764744},{"x": 88.2,"y":35.84490368},{"x": 88.4,"y":35.85941616},{"x": 88.4,"y":35.85941616},{"x": 88.6,"y":35.87392864},{"x": 88.6,"y":35.87392864},{"x": 88.6,"y":35.87392864},{"x": 88.7,"y":35.88118488},{"x": 88.9,"y":35.89569736},{"x": 89.2,"y":35.91746608},{"x": 89.6,"y":35.94649104},{"x": 89.7,"y":35.95374728},{"x": 89.7,"y":35.95374728},{"x": 89.7,"y":35.95374728},{"x": 90,"y":35.975516},{"x": 90,"y":35.975516},{"x": 90,"y":35.975516},{"x": 90.2,"y":35.99002848},{"x": 90.6,"y":36.01905344},{"x": 91,"y":36.0480784},{"x": 91.4,"y":36.07710336},{"x": 91.4,"y":36.07710336},{"x": 91.4,"y":36.07710336},{"x": 91.4,"y":36.07710336},{"x": 91.4,"y":36.07710336},{"x": 91.4,"y":36.07710336},{"x": 92.2,"y":36.13515328},{"x": 92.2,"y":36.13515328},{"x": 94,"y":36.2657656},{"x": 94,"y":36.2657656},{"x": 94,"y":36.2657656} ] [ {"x": 80.9,"y":34.5932234},{"x": 81.3,"y":34.6443538},{"x": 81.3,"y":34.6443538},{"x": 81.8,"y":34.7082668},{"x": 82.2,"y":34.759397199999995},{"x": 82.2,"y":34.759397199999995},{"x": 83,"y":34.861658},{"x": 83.8,"y":34.9639188},{"x": 83.8,"y":34.9639188},{"x": 84.2,"y":35.0150492},{"x": 85.1,"y":35.1300926},{"x": 85.1,"y":35.1300926},{"x": 86.1,"y":35.257918599999996},{"x": 86.2,"y":35.2707012},{"x": 86.4,"y":35.2962664},{"x": 86.4,"y":35.2962664},{"x": 86.4,"y":35.2962664},{"x": 86.4,"y":35.2962664},{"x": 86.4,"y":35.2962664},{"x": 86.4,"y":35.2962664},{"x": 86.7,"y":35.3346142},{"x": 86.9,"y":35.3601794},{"x": 87.1,"y":35.385744599999995},{"x": 87.4,"y":35.4240924},{"x": 87.5,"y":35.436875},{"x": 87.6,"y":35.449657599999995},{"x": 87.7,"y":35.462440199999996},{"x": 88.1,"y":35.513570599999994},{"x": 88.2,"y":35.5263532},{"x": 88.4,"y":35.5519184},{"x": 88.4,"y":35.5519184},{"x": 88.6,"y":35.577483599999994},{"x": 88.6,"y":35.577483599999994},{"x": 88.6,"y":35.577483599999994},{"x": 88.7,"y":35.5902662},{"x": 88.9,"y":35.6158314},{"x": 89.2,"y":35.6541792},{"x": 89.6,"y":35.7053096},{"x": 89.7,"y":35.7180922},{"x": 89.7,"y":35.7180922},{"x": 89.7,"y":35.7180922},{"x": 90,"y":35.75644},{"x": 90,"y":35.75644},{"x": 90,"y":35.75644},{"x": 90.2,"y":35.7820052},{"x": 90.6,"y":35.8331356},{"x": 91,"y":35.884266},{"x": 91.4,"y":35.9353964},{"x": 91.4,"y":35.9353964},{"x": 91.4,"y":35.9353964},{"x": 91.4,"y":35.9353964},{"x": 91.4,"y":35.9353964},{"x": 91.4,"y":35.9353964},{"x": 92.2,"y":36.0376572},{"x": 92.2,"y":36.0376572},{"x": 94,"y":36.267744},{"x": 94,"y":36.267744},{"x": 94,"y":36.267744} ] [ {"x": 80.9,"y":34.99354952},{"x": 81.3,"y":35.01613864},{"x": 81.3,"y":35.01613864},{"x": 81.8,"y":35.04437504},{"x": 82.2,"y":35.06696416},{"x": 82.2,"y":35.06696416},{"x": 83,"y":35.1121424},{"x": 83.8,"y":35.15732064},{"x": 83.8,"y":35.15732064},{"x": 84.2,"y":35.17990976},{"x": 85.1,"y":35.23073528},{"x": 85.1,"y":35.23073528},{"x": 86.1,"y":35.28720808},{"x": 86.2,"y":35.292855360000004},{"x": 86.4,"y":35.30414992},{"x": 86.4,"y":35.30414992},{"x": 86.4,"y":35.30414992},{"x": 86.4,"y":35.30414992},{"x": 86.4,"y":35.30414992},{"x": 86.4,"y":35.30414992},{"x": 86.7,"y":35.32109176},{"x": 86.9,"y":35.33238632},{"x": 87.1,"y":35.34368088},{"x": 87.4,"y":35.36062272},{"x": 87.5,"y":35.36627},{"x": 87.6,"y":35.37191728},{"x": 87.7,"y":35.37756456},{"x": 88.1,"y":35.40015368},{"x": 88.2,"y":35.40580096},{"x": 88.4,"y":35.417095520000004},{"x": 88.4,"y":35.417095520000004},{"x": 88.6,"y":35.42839008},{"x": 88.6,"y":35.42839008},{"x": 88.6,"y":35.42839008},{"x": 88.7,"y":35.43403736},{"x": 88.9,"y":35.44533192},{"x": 89.2,"y":35.46227376},{"x": 89.6,"y":35.48486288},{"x": 89.7,"y":35.49051016},{"x": 89.7,"y":35.49051016},{"x": 89.7,"y":35.49051016},{"x": 90,"y":35.507452},{"x": 90,"y":35.507452},{"x": 90,"y":35.507452},{"x": 90.2,"y":35.518746560000004},{"x": 90.6,"y":35.54133568},{"x": 91,"y":35.5639248},{"x": 91.4,"y":35.58651392},{"x": 91.4,"y":35.58651392},{"x": 91.4,"y":35.58651392},{"x": 91.4,"y":35.58651392},{"x": 91.4,"y":35.58651392},{"x": 91.4,"y":35.58651392},{"x": 92.2,"y":35.63169216},{"x": 92.2,"y":35.63169216},{"x": 94,"y":35.7333432},{"x": 94,"y":35.7333432},{"x": 94,"y":35.7333432} ] [ {"x": 80.9,"y":33.3714472},{"x": 81.3,"y":33.5069704},{"x": 81.3,"y":33.5069704},{"x": 81.8,"y":33.6763744},{"x": 82.2,"y":33.8118976},{"x": 82.2,"y":33.8118976},{"x": 83,"y":34.082944},{"x": 83.8,"y":34.3539904},{"x": 83.8,"y":34.3539904},{"x": 84.2,"y":34.4895136},{"x": 85.1,"y":34.7944408},{"x": 85.1,"y":34.7944408},{"x": 86.1,"y":35.1332488},{"x": 86.2,"y":35.1671296},{"x": 86.4,"y":35.2348912},{"x": 86.4,"y":35.2348912},{"x": 86.4,"y":35.2348912},{"x": 86.4,"y":35.2348912},{"x": 86.4,"y":35.2348912},{"x": 86.4,"y":35.2348912},{"x": 86.7,"y":35.3365336},{"x": 86.9,"y":35.4042952},{"x": 87.1,"y":35.4720568},{"x": 87.4,"y":35.5736992},{"x": 87.5,"y":35.60758},{"x": 87.6,"y":35.6414608},{"x": 87.7,"y":35.6753416},{"x": 88.1,"y":35.8108648},{"x": 88.2,"y":35.8447456},{"x": 88.4,"y":35.9125072},{"x": 88.4,"y":35.9125072},{"x": 88.6,"y":35.9802688},{"x": 88.6,"y":35.9802688},{"x": 88.6,"y":35.9802688},{"x": 88.7,"y":36.0141496},{"x": 88.9,"y":36.0819112},{"x": 89.2,"y":36.183553599999996},{"x": 89.6,"y":36.3190768},{"x": 89.7,"y":36.352957599999996},{"x": 89.7,"y":36.352957599999996},{"x": 89.7,"y":36.352957599999996},{"x": 90,"y":36.4546},{"x": 90,"y":36.4546},{"x": 90,"y":36.4546},{"x": 90.2,"y":36.522361599999996},{"x": 90.6,"y":36.6578848},{"x": 91,"y":36.793408},{"x": 91.4,"y":36.9289312},{"x": 91.4,"y":36.9289312},{"x": 91.4,"y":36.9289312},{"x": 91.4,"y":36.9289312},{"x": 91.4,"y":36.9289312},{"x": 91.4,"y":36.9289312},{"x": 92.2,"y":37.1999776},{"x": 92.2,"y":37.1999776},{"x": 94,"y":37.809832},{"x": 94,"y":37.809832},{"x": 94,"y":37.809832} ] [ {"x": 80.9,"y":36.0421086},{"x": 81.3,"y":36.0503702},{"x": 81.3,"y":36.0503702},{"x": 81.8,"y":36.0606972},{"x": 82.2,"y":36.068958800000004},{"x": 82.2,"y":36.068958800000004},{"x": 83,"y":36.085482},{"x": 83.8,"y":36.1020052},{"x": 83.8,"y":36.1020052},{"x": 84.2,"y":36.110266800000005},{"x": 85.1,"y":36.1288554},{"x": 85.1,"y":36.1288554},{"x": 86.1,"y":36.1495094},{"x": 86.2,"y":36.1515748},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.7,"y":36.1619018},{"x": 86.9,"y":36.1660326},{"x": 87.1,"y":36.1701634},{"x": 87.4,"y":36.176359600000005},{"x": 87.5,"y":36.178425000000004},{"x": 87.6,"y":36.180490400000004},{"x": 87.7,"y":36.1825558},{"x": 88.1,"y":36.1908174},{"x": 88.2,"y":36.1928828},{"x": 88.4,"y":36.197013600000005},{"x": 88.4,"y":36.197013600000005},{"x": 88.6,"y":36.201144400000004},{"x": 88.6,"y":36.201144400000004},{"x": 88.6,"y":36.201144400000004},{"x": 88.7,"y":36.2032098},{"x": 88.9,"y":36.2073406},{"x": 89.2,"y":36.2135368},{"x": 89.6,"y":36.221798400000004},{"x": 89.7,"y":36.223863800000004},{"x": 89.7,"y":36.223863800000004},{"x": 89.7,"y":36.223863800000004},{"x": 90,"y":36.23006},{"x": 90,"y":36.23006},{"x": 90,"y":36.23006},{"x": 90.2,"y":36.2341908},{"x": 90.6,"y":36.242452400000005},{"x": 91,"y":36.250714},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 92.2,"y":36.2754988},{"x": 92.2,"y":36.2754988},{"x": 94,"y":36.312676},{"x": 94,"y":36.312676},{"x": 94,"y":36.312676} ] [ {"x": 80.9,"y":34.1513227},{"x": 81.3,"y":34.2474039},{"x": 81.3,"y":34.2474039},{"x": 81.8,"y":34.3675054},{"x": 82.2,"y":34.4635866},{"x": 82.2,"y":34.4635866},{"x": 83,"y":34.655749},{"x": 83.8,"y":34.8479114},{"x": 83.8,"y":34.8479114},{"x": 84.2,"y":34.9439926},{"x": 85.1,"y":35.1601753},{"x": 85.1,"y":35.1601753},{"x": 86.1,"y":35.4003783},{"x": 86.2,"y":35.4243986},{"x": 86.4,"y":35.472439200000004},{"x": 86.4,"y":35.472439200000004},{"x": 86.4,"y":35.472439200000004},{"x": 86.4,"y":35.472439200000004},{"x": 86.4,"y":35.472439200000004},{"x": 86.4,"y":35.472439200000004},{"x": 86.7,"y":35.5445001},{"x": 86.9,"y":35.5925407},{"x": 87.1,"y":35.6405813},{"x": 87.4,"y":35.7126422},{"x": 87.5,"y":35.7366625},{"x": 87.6,"y":35.7606828},{"x": 87.7,"y":35.7847031},{"x": 88.1,"y":35.880784299999995},{"x": 88.2,"y":35.9048046},{"x": 88.4,"y":35.9528452},{"x": 88.4,"y":35.9528452},{"x": 88.6,"y":36.0008858},{"x": 88.6,"y":36.0008858},{"x": 88.6,"y":36.0008858},{"x": 88.7,"y":36.0249061},{"x": 88.9,"y":36.0729467},{"x": 89.2,"y":36.1450076},{"x": 89.6,"y":36.2410888},{"x": 89.7,"y":36.265109100000004},{"x": 89.7,"y":36.265109100000004},{"x": 89.7,"y":36.265109100000004},{"x": 90,"y":36.33717},{"x": 90,"y":36.33717},{"x": 90,"y":36.33717},{"x": 90.2,"y":36.3852106},{"x": 90.6,"y":36.4812918},{"x": 91,"y":36.577373},{"x": 91.4,"y":36.6734542},{"x": 91.4,"y":36.6734542},{"x": 91.4,"y":36.6734542},{"x": 91.4,"y":36.6734542},{"x": 91.4,"y":36.6734542},{"x": 91.4,"y":36.6734542},{"x": 92.2,"y":36.8656166},{"x": 92.2,"y":36.8656166},{"x": 94,"y":37.297982},{"x": 94,"y":37.297982},{"x": 94,"y":37.297982} ] [ {"x": 80.9,"y":34.9438437},{"x": 81.3,"y":34.9918009},{"x": 81.3,"y":34.9918009},{"x": 81.8,"y":35.051747399999996},{"x": 82.2,"y":35.099704599999995},{"x": 82.2,"y":35.099704599999995},{"x": 83,"y":35.195619},{"x": 83.8,"y":35.2915334},{"x": 83.8,"y":35.2915334},{"x": 84.2,"y":35.3394906},{"x": 85.1,"y":35.4473943},{"x": 85.1,"y":35.4473943},{"x": 86.1,"y":35.5672873},{"x": 86.2,"y":35.5792766},{"x": 86.4,"y":35.6032552},{"x": 86.4,"y":35.6032552},{"x": 86.4,"y":35.6032552},{"x": 86.4,"y":35.6032552},{"x": 86.4,"y":35.6032552},{"x": 86.4,"y":35.6032552},{"x": 86.7,"y":35.639223099999995},{"x": 86.9,"y":35.6632017},{"x": 87.1,"y":35.687180299999994},{"x": 87.4,"y":35.7231482},{"x": 87.5,"y":35.7351375},{"x": 87.6,"y":35.7471268},{"x": 87.7,"y":35.7591161},{"x": 88.1,"y":35.8070733},{"x": 88.2,"y":35.819062599999995},{"x": 88.4,"y":35.8430412},{"x": 88.4,"y":35.8430412},{"x": 88.6,"y":35.867019799999994},{"x": 88.6,"y":35.867019799999994},{"x": 88.6,"y":35.867019799999994},{"x": 88.7,"y":35.8790091},{"x": 88.9,"y":35.9029877},{"x": 89.2,"y":35.9389556},{"x": 89.6,"y":35.9869128},{"x": 89.7,"y":35.998902099999995},{"x": 89.7,"y":35.998902099999995},{"x": 89.7,"y":35.998902099999995},{"x": 90,"y":36.03487},{"x": 90,"y":36.03487},{"x": 90,"y":36.03487},{"x": 90.2,"y":36.0588486},{"x": 90.6,"y":36.1068058},{"x": 91,"y":36.154763},{"x": 91.4,"y":36.2027202},{"x": 91.4,"y":36.2027202},{"x": 91.4,"y":36.2027202},{"x": 91.4,"y":36.2027202},{"x": 91.4,"y":36.2027202},{"x": 91.4,"y":36.2027202},{"x": 92.2,"y":36.2986346},{"x": 92.2,"y":36.2986346},{"x": 94,"y":36.514442},{"x": 94,"y":36.514442},{"x": 94,"y":36.514442} ] [ {"x": 80.9,"y":35.2773458},{"x": 81.3,"y":35.3364506},{"x": 81.3,"y":35.3364506},{"x": 81.8,"y":35.4103316},{"x": 82.2,"y":35.4694364},{"x": 82.2,"y":35.4694364},{"x": 83,"y":35.587646},{"x": 83.8,"y":35.7058556},{"x": 83.8,"y":35.7058556},{"x": 84.2,"y":35.7649604},{"x": 85.1,"y":35.8979462},{"x": 85.1,"y":35.8979462},{"x": 86.1,"y":36.0457082},{"x": 86.2,"y":36.0604844},{"x": 86.4,"y":36.0900368},{"x": 86.4,"y":36.0900368},{"x": 86.4,"y":36.0900368},{"x": 86.4,"y":36.0900368},{"x": 86.4,"y":36.0900368},{"x": 86.4,"y":36.0900368},{"x": 86.7,"y":36.1343654},{"x": 86.9,"y":36.1639178},{"x": 87.1,"y":36.1934702},{"x": 87.4,"y":36.2377988},{"x": 87.5,"y":36.252575},{"x": 87.6,"y":36.2673512},{"x": 87.7,"y":36.2821274},{"x": 88.1,"y":36.3412322},{"x": 88.2,"y":36.3560084},{"x": 88.4,"y":36.3855608},{"x": 88.4,"y":36.3855608},{"x": 88.6,"y":36.4151132},{"x": 88.6,"y":36.4151132},{"x": 88.6,"y":36.4151132},{"x": 88.7,"y":36.4298894},{"x": 88.9,"y":36.4594418},{"x": 89.2,"y":36.5037704},{"x": 89.6,"y":36.5628752},{"x": 89.7,"y":36.5776514},{"x": 89.7,"y":36.5776514},{"x": 89.7,"y":36.5776514},{"x": 90,"y":36.62198},{"x": 90,"y":36.62198},{"x": 90,"y":36.62198},{"x": 90.2,"y":36.6515324},{"x": 90.6,"y":36.7106372},{"x": 91,"y":36.769742},{"x": 91.4,"y":36.8288468},{"x": 91.4,"y":36.8288468},{"x": 91.4,"y":36.8288468},{"x": 91.4,"y":36.8288468},{"x": 91.4,"y":36.8288468},{"x": 91.4,"y":36.8288468},{"x": 92.2,"y":36.9470564},{"x": 92.2,"y":36.9470564},{"x": 94,"y":37.213028},{"x": 94,"y":37.213028},{"x": 94,"y":37.213028} ] [ {"x": 80.9,"y":34.7466136},{"x": 81.3,"y":34.8558552},{"x": 81.3,"y":34.8558552},{"x": 81.8,"y":34.9924072},{"x": 82.2,"y":35.10164880000001},{"x": 82.2,"y":35.10164880000001},{"x": 83,"y":35.320132},{"x": 83.8,"y":35.538615199999995},{"x": 83.8,"y":35.538615199999995},{"x": 84.2,"y":35.6478568},{"x": 85.1,"y":35.8936504},{"x": 85.1,"y":35.8936504},{"x": 86.1,"y":36.1667544},{"x": 86.2,"y":36.19406480000001},{"x": 86.4,"y":36.2486856},{"x": 86.4,"y":36.2486856},{"x": 86.4,"y":36.2486856},{"x": 86.4,"y":36.2486856},{"x": 86.4,"y":36.2486856},{"x": 86.4,"y":36.2486856},{"x": 86.7,"y":36.3306168},{"x": 86.9,"y":36.3852376},{"x": 87.1,"y":36.4398584},{"x": 87.4,"y":36.521789600000005},{"x": 87.5,"y":36.549099999999996},{"x": 87.6,"y":36.5764104},{"x": 87.7,"y":36.603720800000005},{"x": 88.1,"y":36.712962399999995},{"x": 88.2,"y":36.7402728},{"x": 88.4,"y":36.7948936},{"x": 88.4,"y":36.7948936},{"x": 88.6,"y":36.849514400000004},{"x": 88.6,"y":36.849514400000004},{"x": 88.6,"y":36.849514400000004},{"x": 88.7,"y":36.8768248},{"x": 88.9,"y":36.9314456},{"x": 89.2,"y":37.0133768},{"x": 89.6,"y":37.1226184},{"x": 89.7,"y":37.1499288},{"x": 89.7,"y":37.1499288},{"x": 89.7,"y":37.1499288},{"x": 90,"y":37.23186},{"x": 90,"y":37.23186},{"x": 90,"y":37.23186},{"x": 90.2,"y":37.28648080000001},{"x": 90.6,"y":37.3957224},{"x": 91,"y":37.504964},{"x": 91.4,"y":37.614205600000005},{"x": 91.4,"y":37.614205600000005},{"x": 91.4,"y":37.614205600000005},{"x": 91.4,"y":37.614205600000005},{"x": 91.4,"y":37.614205600000005},{"x": 91.4,"y":37.614205600000005},{"x": 92.2,"y":37.8326888},{"x": 92.2,"y":37.8326888},{"x": 94,"y":38.324276},{"x": 94,"y":38.324276},{"x": 94,"y":38.324276} ] [ {"x": 80.9,"y":33.2388524},{"x": 81.3,"y":33.3711068},{"x": 81.3,"y":33.3711068},{"x": 81.8,"y":33.5364248},{"x": 82.2,"y":33.6686792},{"x": 82.2,"y":33.6686792},{"x": 83,"y":33.933188},{"x": 83.8,"y":34.197696799999996},{"x": 83.8,"y":34.197696799999996},{"x": 84.2,"y":34.3299512},{"x": 85.1,"y":34.627523599999996},{"x": 85.1,"y":34.627523599999996},{"x": 86.1,"y":34.958159599999995},{"x": 86.2,"y":34.9912232},{"x": 86.4,"y":35.0573504},{"x": 86.4,"y":35.0573504},{"x": 86.4,"y":35.0573504},{"x": 86.4,"y":35.0573504},{"x": 86.4,"y":35.0573504},{"x": 86.4,"y":35.0573504},{"x": 86.7,"y":35.1565412},{"x": 86.9,"y":35.2226684},{"x": 87.1,"y":35.28879559999999},{"x": 87.4,"y":35.3879864},{"x": 87.5,"y":35.42105},{"x": 87.6,"y":35.4541136},{"x": 87.7,"y":35.4871772},{"x": 88.1,"y":35.6194316},{"x": 88.2,"y":35.6524952},{"x": 88.4,"y":35.7186224},{"x": 88.4,"y":35.7186224},{"x": 88.6,"y":35.7847496},{"x": 88.6,"y":35.7847496},{"x": 88.6,"y":35.7847496},{"x": 88.7,"y":35.817813199999996},{"x": 88.9,"y":35.8839404},{"x": 89.2,"y":35.983131199999995},{"x": 89.6,"y":36.115385599999996},{"x": 89.7,"y":36.1484492},{"x": 89.7,"y":36.1484492},{"x": 89.7,"y":36.1484492},{"x": 90,"y":36.24764},{"x": 90,"y":36.24764},{"x": 90,"y":36.24764},{"x": 90.2,"y":36.3137672},{"x": 90.6,"y":36.446021599999995},{"x": 91,"y":36.578275999999995},{"x": 91.4,"y":36.7105304},{"x": 91.4,"y":36.7105304},{"x": 91.4,"y":36.7105304},{"x": 91.4,"y":36.7105304},{"x": 91.4,"y":36.7105304},{"x": 91.4,"y":36.7105304},{"x": 92.2,"y":36.9750392},{"x": 92.2,"y":36.9750392},{"x": 94,"y":37.570184},{"x": 94,"y":37.570184},{"x": 94,"y":37.570184} ] [ {"x": 80.9,"y":35.0726671},{"x": 81.3,"y":35.1429547},{"x": 81.3,"y":35.1429547},{"x": 81.8,"y":35.2308142},{"x": 82.2,"y":35.3011018},{"x": 82.2,"y":35.3011018},{"x": 83,"y":35.441677},{"x": 83.8,"y":35.5822522},{"x": 83.8,"y":35.5822522},{"x": 84.2,"y":35.6525398},{"x": 85.1,"y":35.81068689999999},{"x": 85.1,"y":35.81068689999999},{"x": 86.1,"y":35.986405899999994},{"x": 86.2,"y":36.0039778},{"x": 86.4,"y":36.0391216},{"x": 86.4,"y":36.0391216},{"x": 86.4,"y":36.0391216},{"x": 86.4,"y":36.0391216},{"x": 86.4,"y":36.0391216},{"x": 86.4,"y":36.0391216},{"x": 86.7,"y":36.091837299999995},{"x": 86.9,"y":36.126981099999995},{"x": 87.1,"y":36.162124899999995},{"x": 87.4,"y":36.2148406},{"x": 87.5,"y":36.232412499999995},{"x": 87.6,"y":36.249984399999995},{"x": 87.7,"y":36.267556299999995},{"x": 88.1,"y":36.337843899999996},{"x": 88.2,"y":36.3554158},{"x": 88.4,"y":36.3905596},{"x": 88.4,"y":36.3905596},{"x": 88.6,"y":36.425703399999996},{"x": 88.6,"y":36.425703399999996},{"x": 88.6,"y":36.425703399999996},{"x": 88.7,"y":36.443275299999996},{"x": 88.9,"y":36.478419099999996},{"x": 89.2,"y":36.5311348},{"x": 89.6,"y":36.6014224},{"x": 89.7,"y":36.6189943},{"x": 89.7,"y":36.6189943},{"x": 89.7,"y":36.6189943},{"x": 90,"y":36.67171},{"x": 90,"y":36.67171},{"x": 90,"y":36.67171},{"x": 90.2,"y":36.7068538},{"x": 90.6,"y":36.7771414},{"x": 91,"y":36.847429},{"x": 91.4,"y":36.9177166},{"x": 91.4,"y":36.9177166},{"x": 91.4,"y":36.9177166},{"x": 91.4,"y":36.9177166},{"x": 91.4,"y":36.9177166},{"x": 91.4,"y":36.9177166},{"x": 92.2,"y":37.0582918},{"x": 92.2,"y":37.0582918},{"x": 94,"y":37.374585999999994},{"x": 94,"y":37.374585999999994},{"x": 94,"y":37.374585999999994} ] [ {"x": 80.9,"y":34.3379078},{"x": 81.3,"y":34.4426846},{"x": 81.3,"y":34.4426846},{"x": 81.8,"y":34.5736556},{"x": 82.2,"y":34.678432400000005},{"x": 82.2,"y":34.678432400000005},{"x": 83,"y":34.887986},{"x": 83.8,"y":35.0975396},{"x": 83.8,"y":35.0975396},{"x": 84.2,"y":35.2023164},{"x": 85.1,"y":35.4380642},{"x": 85.1,"y":35.4380642},{"x": 86.1,"y":35.7000062},{"x": 86.2,"y":35.7262004},{"x": 86.4,"y":35.7785888},{"x": 86.4,"y":35.7785888},{"x": 86.4,"y":35.7785888},{"x": 86.4,"y":35.7785888},{"x": 86.4,"y":35.7785888},{"x": 86.4,"y":35.7785888},{"x": 86.7,"y":35.857171400000006},{"x": 86.9,"y":35.909559800000004},{"x": 87.1,"y":35.9619482},{"x": 87.4,"y":36.040530800000006},{"x": 87.5,"y":36.066725},{"x": 87.6,"y":36.0929192},{"x": 87.7,"y":36.1191134},{"x": 88.1,"y":36.2238902},{"x": 88.2,"y":36.2500844},{"x": 88.4,"y":36.302472800000004},{"x": 88.4,"y":36.302472800000004},{"x": 88.6,"y":36.3548612},{"x": 88.6,"y":36.3548612},{"x": 88.6,"y":36.3548612},{"x": 88.7,"y":36.3810554},{"x": 88.9,"y":36.433443800000006},{"x": 89.2,"y":36.5120264},{"x": 89.6,"y":36.6168032},{"x": 89.7,"y":36.6429974},{"x": 89.7,"y":36.6429974},{"x": 89.7,"y":36.6429974},{"x": 90,"y":36.72158},{"x": 90,"y":36.72158},{"x": 90,"y":36.72158},{"x": 90.2,"y":36.7739684},{"x": 90.6,"y":36.8787452},{"x": 91,"y":36.983522},{"x": 91.4,"y":37.088298800000004},{"x": 91.4,"y":37.088298800000004},{"x": 91.4,"y":37.088298800000004},{"x": 91.4,"y":37.088298800000004},{"x": 91.4,"y":37.088298800000004},{"x": 91.4,"y":37.088298800000004},{"x": 92.2,"y":37.297852400000004},{"x": 92.2,"y":37.297852400000004},{"x": 94,"y":37.769348},{"x": 94,"y":37.769348},{"x": 94,"y":37.769348} ] [ {"x": 80.9,"y":33.474473700000004},{"x": 81.3,"y":33.5953109},{"x": 81.3,"y":33.5953109},{"x": 81.8,"y":33.7463574},{"x": 82.2,"y":33.8671946},{"x": 82.2,"y":33.8671946},{"x": 83,"y":34.108869},{"x": 83.8,"y":34.3505434},{"x": 83.8,"y":34.3505434},{"x": 84.2,"y":34.4713806},{"x": 85.1,"y":34.7432643},{"x": 85.1,"y":34.7432643},{"x": 86.1,"y":35.0453573},{"x": 86.2,"y":35.0755666},{"x": 86.4,"y":35.1359852},{"x": 86.4,"y":35.1359852},{"x": 86.4,"y":35.1359852},{"x": 86.4,"y":35.1359852},{"x": 86.4,"y":35.1359852},{"x": 86.4,"y":35.1359852},{"x": 86.7,"y":35.2266131},{"x": 86.9,"y":35.2870317},{"x": 87.1,"y":35.3474503},{"x": 87.4,"y":35.4380782},{"x": 87.5,"y":35.4682875},{"x": 87.6,"y":35.4984968},{"x": 87.7,"y":35.5287061},{"x": 88.1,"y":35.6495433},{"x": 88.2,"y":35.6797526},{"x": 88.4,"y":35.7401712},{"x": 88.4,"y":35.7401712},{"x": 88.6,"y":35.8005898},{"x": 88.6,"y":35.8005898},{"x": 88.6,"y":35.8005898},{"x": 88.7,"y":35.8307991},{"x": 88.9,"y":35.8912177},{"x": 89.2,"y":35.9818456},{"x": 89.6,"y":36.1026828},{"x": 89.7,"y":36.1328921},{"x": 89.7,"y":36.1328921},{"x": 89.7,"y":36.1328921},{"x": 90,"y":36.22352},{"x": 90,"y":36.22352},{"x": 90,"y":36.22352},{"x": 90.2,"y":36.2839386},{"x": 90.6,"y":36.404775799999996},{"x": 91,"y":36.525613},{"x": 91.4,"y":36.646450200000004},{"x": 91.4,"y":36.646450200000004},{"x": 91.4,"y":36.646450200000004},{"x": 91.4,"y":36.646450200000004},{"x": 91.4,"y":36.646450200000004},{"x": 91.4,"y":36.646450200000004},{"x": 92.2,"y":36.8881246},{"x": 92.2,"y":36.8881246},{"x": 94,"y":37.431892},{"x": 94,"y":37.431892},{"x": 94,"y":37.431892} ] [ {"x": 80.9,"y":35.0489909},{"x": 81.3,"y":35.0897513},{"x": 81.3,"y":35.0897513},{"x": 81.8,"y":35.1407018},{"x": 82.2,"y":35.1814622},{"x": 82.2,"y":35.1814622},{"x": 83,"y":35.262983},{"x": 83.8,"y":35.3445038},{"x": 83.8,"y":35.3445038},{"x": 84.2,"y":35.3852642},{"x": 85.1,"y":35.4769751},{"x": 85.1,"y":35.4769751},{"x": 86.1,"y":35.5788761},{"x": 86.2,"y":35.5890662},{"x": 86.4,"y":35.609446399999996},{"x": 86.4,"y":35.609446399999996},{"x": 86.4,"y":35.609446399999996},{"x": 86.4,"y":35.609446399999996},{"x": 86.4,"y":35.609446399999996},{"x": 86.4,"y":35.609446399999996},{"x": 86.7,"y":35.640016700000004},{"x": 86.9,"y":35.6603969},{"x": 87.1,"y":35.6807771},{"x": 87.4,"y":35.7113474},{"x": 87.5,"y":35.7215375},{"x": 87.6,"y":35.7317276},{"x": 87.7,"y":35.7419177},{"x": 88.1,"y":35.7826781},{"x": 88.2,"y":35.7928682},{"x": 88.4,"y":35.8132484},{"x": 88.4,"y":35.8132484},{"x": 88.6,"y":35.8336286},{"x": 88.6,"y":35.8336286},{"x": 88.6,"y":35.8336286},{"x": 88.7,"y":35.8438187},{"x": 88.9,"y":35.8641989},{"x": 89.2,"y":35.8947692},{"x": 89.6,"y":35.935529599999995},{"x": 89.7,"y":35.9457197},{"x": 89.7,"y":35.9457197},{"x": 89.7,"y":35.9457197},{"x": 90,"y":35.97629},{"x": 90,"y":35.97629},{"x": 90,"y":35.97629},{"x": 90.2,"y":35.9966702},{"x": 90.6,"y":36.0374306},{"x": 91,"y":36.078191000000004},{"x": 91.4,"y":36.1189514},{"x": 91.4,"y":36.1189514},{"x": 91.4,"y":36.1189514},{"x": 91.4,"y":36.1189514},{"x": 91.4,"y":36.1189514},{"x": 91.4,"y":36.1189514},{"x": 92.2,"y":36.2004722},{"x": 92.2,"y":36.2004722},{"x": 94,"y":36.383894},{"x": 94,"y":36.383894},{"x": 94,"y":36.383894} ] [ {"x": 80.9,"y":34.2166461},{"x": 81.3,"y":34.297857699999994},{"x": 81.3,"y":34.297857699999994},{"x": 81.8,"y":34.3993722},{"x": 82.2,"y":34.4805838},{"x": 82.2,"y":34.4805838},{"x": 83,"y":34.643007},{"x": 83.8,"y":34.805430199999996},{"x": 83.8,"y":34.805430199999996},{"x": 84.2,"y":34.8866418},{"x": 85.1,"y":35.069367899999996},{"x": 85.1,"y":35.069367899999996},{"x": 86.1,"y":35.2723969},{"x": 86.2,"y":35.292699799999994},{"x": 86.4,"y":35.3333056},{"x": 86.4,"y":35.3333056},{"x": 86.4,"y":35.3333056},{"x": 86.4,"y":35.3333056},{"x": 86.4,"y":35.3333056},{"x": 86.4,"y":35.3333056},{"x": 86.7,"y":35.3942143},{"x": 86.9,"y":35.434820099999996},{"x": 87.1,"y":35.4754259},{"x": 87.4,"y":35.5363346},{"x": 87.5,"y":35.556637499999994},{"x": 87.6,"y":35.5769404},{"x": 87.7,"y":35.5972433},{"x": 88.1,"y":35.6784549},{"x": 88.2,"y":35.698757799999996},{"x": 88.4,"y":35.7393636},{"x": 88.4,"y":35.7393636},{"x": 88.6,"y":35.7799694},{"x": 88.6,"y":35.7799694},{"x": 88.6,"y":35.7799694},{"x": 88.7,"y":35.8002723},{"x": 88.9,"y":35.8408781},{"x": 89.2,"y":35.901786799999996},{"x": 89.6,"y":35.9829984},{"x": 89.7,"y":36.0033013},{"x": 89.7,"y":36.0033013},{"x": 89.7,"y":36.0033013},{"x": 90,"y":36.06421},{"x": 90,"y":36.06421},{"x": 90,"y":36.06421},{"x": 90.2,"y":36.1048158},{"x": 90.6,"y":36.1860274},{"x": 91,"y":36.267239},{"x": 91.4,"y":36.3484506},{"x": 91.4,"y":36.3484506},{"x": 91.4,"y":36.3484506},{"x": 91.4,"y":36.3484506},{"x": 91.4,"y":36.3484506},{"x": 91.4,"y":36.3484506},{"x": 92.2,"y":36.5108738},{"x": 92.2,"y":36.5108738},{"x": 94,"y":36.876326},{"x": 94,"y":36.876326},{"x": 94,"y":36.876326} ] [ {"x": 80.9,"y":34.952879},{"x": 81.3,"y":35.014603},{"x": 81.3,"y":35.014603},{"x": 81.8,"y":35.091758},{"x": 82.2,"y":35.153482000000004},{"x": 82.2,"y":35.153482000000004},{"x": 83,"y":35.27693},{"x": 83.8,"y":35.400378},{"x": 83.8,"y":35.400378},{"x": 84.2,"y":35.462102},{"x": 85.1,"y":35.600981000000004},{"x": 85.1,"y":35.600981000000004},{"x": 86.1,"y":35.755291},{"x": 86.2,"y":35.770722},{"x": 86.4,"y":35.801584000000005},{"x": 86.4,"y":35.801584000000005},{"x": 86.4,"y":35.801584000000005},{"x": 86.4,"y":35.801584000000005},{"x": 86.4,"y":35.801584000000005},{"x": 86.4,"y":35.801584000000005},{"x": 86.7,"y":35.847877000000004},{"x": 86.9,"y":35.878739},{"x": 87.1,"y":35.909601},{"x": 87.4,"y":35.955894},{"x": 87.5,"y":35.971325},{"x": 87.6,"y":35.986756},{"x": 87.7,"y":36.002187},{"x": 88.1,"y":36.063911000000004},{"x": 88.2,"y":36.079342000000004},{"x": 88.4,"y":36.110204},{"x": 88.4,"y":36.110204},{"x": 88.6,"y":36.141066},{"x": 88.6,"y":36.141066},{"x": 88.6,"y":36.141066},{"x": 88.7,"y":36.156497},{"x": 88.9,"y":36.187359},{"x": 89.2,"y":36.233652},{"x": 89.6,"y":36.295376000000005},{"x": 89.7,"y":36.310807000000004},{"x": 89.7,"y":36.310807000000004},{"x": 89.7,"y":36.310807000000004},{"x": 90,"y":36.3571},{"x": 90,"y":36.3571},{"x": 90,"y":36.3571},{"x": 90.2,"y":36.387962},{"x": 90.6,"y":36.449686},{"x": 91,"y":36.51141},{"x": 91.4,"y":36.573134},{"x": 91.4,"y":36.573134},{"x": 91.4,"y":36.573134},{"x": 91.4,"y":36.573134},{"x": 91.4,"y":36.573134},{"x": 91.4,"y":36.573134},{"x": 92.2,"y":36.696582},{"x": 92.2,"y":36.696582},{"x": 94,"y":36.97434},{"x": 94,"y":36.97434},{"x": 94,"y":36.97434} ] [ {"x": 80.9,"y":34.7704499},{"x": 81.3,"y":34.8330143},{"x": 81.3,"y":34.8330143},{"x": 81.8,"y":34.9112198},{"x": 82.2,"y":34.9737842},{"x": 82.2,"y":34.9737842},{"x": 83,"y":35.098913},{"x": 83.8,"y":35.2240418},{"x": 83.8,"y":35.2240418},{"x": 84.2,"y":35.2866062},{"x": 85.1,"y":35.427376100000004},{"x": 85.1,"y":35.427376100000004},{"x": 86.1,"y":35.5837871},{"x": 86.2,"y":35.599428200000006},{"x": 86.4,"y":35.6307104},{"x": 86.4,"y":35.6307104},{"x": 86.4,"y":35.6307104},{"x": 86.4,"y":35.6307104},{"x": 86.4,"y":35.6307104},{"x": 86.4,"y":35.6307104},{"x": 86.7,"y":35.6776337},{"x": 86.9,"y":35.7089159},{"x": 87.1,"y":35.7401981},{"x": 87.4,"y":35.787121400000004},{"x": 87.5,"y":35.8027625},{"x": 87.6,"y":35.818403599999996},{"x": 87.7,"y":35.8340447},{"x": 88.1,"y":35.8966091},{"x": 88.2,"y":35.9122502},{"x": 88.4,"y":35.9435324},{"x": 88.4,"y":35.9435324},{"x": 88.6,"y":35.9748146},{"x": 88.6,"y":35.9748146},{"x": 88.6,"y":35.9748146},{"x": 88.7,"y":35.9904557},{"x": 88.9,"y":36.021737900000005},{"x": 89.2,"y":36.0686612},{"x": 89.6,"y":36.1312256},{"x": 89.7,"y":36.146866700000004},{"x": 89.7,"y":36.146866700000004},{"x": 89.7,"y":36.146866700000004},{"x": 90,"y":36.19379},{"x": 90,"y":36.19379},{"x": 90,"y":36.19379},{"x": 90.2,"y":36.2250722},{"x": 90.6,"y":36.2876366},{"x": 91,"y":36.350201},{"x": 91.4,"y":36.4127654},{"x": 91.4,"y":36.4127654},{"x": 91.4,"y":36.4127654},{"x": 91.4,"y":36.4127654},{"x": 91.4,"y":36.4127654},{"x": 91.4,"y":36.4127654},{"x": 92.2,"y":36.537894200000004},{"x": 92.2,"y":36.537894200000004},{"x": 94,"y":36.819434},{"x": 94,"y":36.819434},{"x": 94,"y":36.819434} ] [ {"x": 80.9,"y":35.643329460000004},{"x": 81.3,"y":35.65509722},{"x": 81.3,"y":35.65509722},{"x": 81.8,"y":35.66980692},{"x": 82.2,"y":35.681574680000004},{"x": 82.2,"y":35.681574680000004},{"x": 83,"y":35.7051102},{"x": 83.8,"y":35.72864572},{"x": 83.8,"y":35.72864572},{"x": 84.2,"y":35.74041348},{"x": 85.1,"y":35.76689094},{"x": 85.1,"y":35.76689094},{"x": 86.1,"y":35.79631034},{"x": 86.2,"y":35.799252280000005},{"x": 86.4,"y":35.80513616},{"x": 86.4,"y":35.80513616},{"x": 86.4,"y":35.80513616},{"x": 86.4,"y":35.80513616},{"x": 86.4,"y":35.80513616},{"x": 86.4,"y":35.80513616},{"x": 86.7,"y":35.81396198},{"x": 86.9,"y":35.81984586},{"x": 87.1,"y":35.82572974},{"x": 87.4,"y":35.83455556},{"x": 87.5,"y":35.8374975},{"x": 87.6,"y":35.84043944},{"x": 87.7,"y":35.843381380000004},{"x": 88.1,"y":35.85514914},{"x": 88.2,"y":35.85809108},{"x": 88.4,"y":35.86397496},{"x": 88.4,"y":35.86397496},{"x": 88.6,"y":35.86985884},{"x": 88.6,"y":35.86985884},{"x": 88.6,"y":35.86985884},{"x": 88.7,"y":35.87280078},{"x": 88.9,"y":35.878684660000005},{"x": 89.2,"y":35.88751048},{"x": 89.6,"y":35.89927824},{"x": 89.7,"y":35.90222018},{"x": 89.7,"y":35.90222018},{"x": 89.7,"y":35.90222018},{"x": 90,"y":35.911046},{"x": 90,"y":35.911046},{"x": 90,"y":35.911046},{"x": 90.2,"y":35.91692988},{"x": 90.6,"y":35.92869764},{"x": 91,"y":35.9404654},{"x": 91.4,"y":35.95223316},{"x": 91.4,"y":35.95223316},{"x": 91.4,"y":35.95223316},{"x": 91.4,"y":35.95223316},{"x": 91.4,"y":35.95223316},{"x": 91.4,"y":35.95223316},{"x": 92.2,"y":35.97576868},{"x": 92.2,"y":35.97576868},{"x": 94,"y":36.0287236},{"x": 94,"y":36.0287236},{"x": 94,"y":36.0287236} ] [ {"x": 80.9,"y":34.9766338},{"x": 81.3,"y":35.0310666},{"x": 81.3,"y":35.0310666},{"x": 81.8,"y":35.0991076},{"x": 82.2,"y":35.153540400000004},{"x": 82.2,"y":35.153540400000004},{"x": 83,"y":35.262406},{"x": 83.8,"y":35.3712716},{"x": 83.8,"y":35.3712716},{"x": 84.2,"y":35.4257044},{"x": 85.1,"y":35.5481782},{"x": 85.1,"y":35.5481782},{"x": 86.1,"y":35.6842602},{"x": 86.2,"y":35.697868400000004},{"x": 86.4,"y":35.725084800000005},{"x": 86.4,"y":35.725084800000005},{"x": 86.4,"y":35.725084800000005},{"x": 86.4,"y":35.725084800000005},{"x": 86.4,"y":35.725084800000005},{"x": 86.4,"y":35.725084800000005},{"x": 86.7,"y":35.7659094},{"x": 86.9,"y":35.7931258},{"x": 87.1,"y":35.8203422},{"x": 87.4,"y":35.86116680000001},{"x": 87.5,"y":35.874775},{"x": 87.6,"y":35.8883832},{"x": 87.7,"y":35.9019914},{"x": 88.1,"y":35.9564242},{"x": 88.2,"y":35.9700324},{"x": 88.4,"y":35.9972488},{"x": 88.4,"y":35.9972488},{"x": 88.6,"y":36.0244652},{"x": 88.6,"y":36.0244652},{"x": 88.6,"y":36.0244652},{"x": 88.7,"y":36.0380734},{"x": 88.9,"y":36.0652898},{"x": 89.2,"y":36.1061144},{"x": 89.6,"y":36.1605472},{"x": 89.7,"y":36.174155400000004},{"x": 89.7,"y":36.174155400000004},{"x": 89.7,"y":36.174155400000004},{"x": 90,"y":36.214980000000004},{"x": 90,"y":36.214980000000004},{"x": 90,"y":36.214980000000004},{"x": 90.2,"y":36.242196400000005},{"x": 90.6,"y":36.2966292},{"x": 91,"y":36.351062},{"x": 91.4,"y":36.4054948},{"x": 91.4,"y":36.4054948},{"x": 91.4,"y":36.4054948},{"x": 91.4,"y":36.4054948},{"x": 91.4,"y":36.4054948},{"x": 91.4,"y":36.4054948},{"x": 92.2,"y":36.5143604},{"x": 92.2,"y":36.5143604},{"x": 94,"y":36.759308000000004},{"x": 94,"y":36.759308000000004},{"x": 94,"y":36.759308000000004} ] [ {"x": 80.9,"y":34.9425355},{"x": 81.3,"y":35.031173499999994},{"x": 81.3,"y":35.031173499999994},{"x": 81.8,"y":35.141971},{"x": 82.2,"y":35.230609},{"x": 82.2,"y":35.230609},{"x": 83,"y":35.40788499999999},{"x": 83.8,"y":35.585161},{"x": 83.8,"y":35.585161},{"x": 84.2,"y":35.673799},{"x": 85.1,"y":35.873234499999995},{"x": 85.1,"y":35.873234499999995},{"x": 86.1,"y":36.094829499999996},{"x": 86.2,"y":36.116989000000004},{"x": 86.4,"y":36.161308},{"x": 86.4,"y":36.161308},{"x": 86.4,"y":36.161308},{"x": 86.4,"y":36.161308},{"x": 86.4,"y":36.161308},{"x": 86.4,"y":36.161308},{"x": 86.7,"y":36.2277865},{"x": 86.9,"y":36.272105499999995},{"x": 87.1,"y":36.3164245},{"x": 87.4,"y":36.382903},{"x": 87.5,"y":36.4050625},{"x": 87.6,"y":36.427222},{"x": 87.7,"y":36.4493815},{"x": 88.1,"y":36.5380195},{"x": 88.2,"y":36.560179},{"x": 88.4,"y":36.604498},{"x": 88.4,"y":36.604498},{"x": 88.6,"y":36.648816999999994},{"x": 88.6,"y":36.648816999999994},{"x": 88.6,"y":36.648816999999994},{"x": 88.7,"y":36.670976499999995},{"x": 88.9,"y":36.715295499999996},{"x": 89.2,"y":36.781774},{"x": 89.6,"y":36.870412},{"x": 89.7,"y":36.8925715},{"x": 89.7,"y":36.8925715},{"x": 89.7,"y":36.8925715},{"x": 90,"y":36.95905},{"x": 90,"y":36.95905},{"x": 90,"y":36.95905},{"x": 90.2,"y":37.003369},{"x": 90.6,"y":37.092006999999995},{"x": 91,"y":37.180645},{"x": 91.4,"y":37.269283},{"x": 91.4,"y":37.269283},{"x": 91.4,"y":37.269283},{"x": 91.4,"y":37.269283},{"x": 91.4,"y":37.269283},{"x": 91.4,"y":37.269283},{"x": 92.2,"y":37.44655899999999},{"x": 92.2,"y":37.44655899999999},{"x": 94,"y":37.84542999999999},{"x": 94,"y":37.84542999999999},{"x": 94,"y":37.84542999999999} ] [ {"x": 80.9,"y":34.562222000000006},{"x": 81.3,"y":34.648054},{"x": 81.3,"y":34.648054},{"x": 81.8,"y":34.755343999999994},{"x": 82.2,"y":34.841176000000004},{"x": 82.2,"y":34.841176000000004},{"x": 83,"y":35.01284},{"x": 83.8,"y":35.184504000000004},{"x": 83.8,"y":35.184504000000004},{"x": 84.2,"y":35.270336},{"x": 85.1,"y":35.463458},{"x": 85.1,"y":35.463458},{"x": 86.1,"y":35.678038},{"x": 86.2,"y":35.699495999999996},{"x": 86.4,"y":35.742412},{"x": 86.4,"y":35.742412},{"x": 86.4,"y":35.742412},{"x": 86.4,"y":35.742412},{"x": 86.4,"y":35.742412},{"x": 86.4,"y":35.742412},{"x": 86.7,"y":35.806786},{"x": 86.9,"y":35.849702},{"x": 87.1,"y":35.892618},{"x": 87.4,"y":35.956992},{"x": 87.5,"y":35.978449999999995},{"x": 87.6,"y":35.999908},{"x": 87.7,"y":36.021366},{"x": 88.1,"y":36.107198},{"x": 88.2,"y":36.128656},{"x": 88.4,"y":36.171572},{"x": 88.4,"y":36.171572},{"x": 88.6,"y":36.214488},{"x": 88.6,"y":36.214488},{"x": 88.6,"y":36.214488},{"x": 88.7,"y":36.235946},{"x": 88.9,"y":36.278862000000004},{"x": 89.2,"y":36.343236000000005},{"x": 89.6,"y":36.429068},{"x": 89.7,"y":36.450525999999996},{"x": 89.7,"y":36.450525999999996},{"x": 89.7,"y":36.450525999999996},{"x": 90,"y":36.5149},{"x": 90,"y":36.5149},{"x": 90,"y":36.5149},{"x": 90.2,"y":36.557816},{"x": 90.6,"y":36.643648},{"x": 91,"y":36.729479999999995},{"x": 91.4,"y":36.815312000000006},{"x": 91.4,"y":36.815312000000006},{"x": 91.4,"y":36.815312000000006},{"x": 91.4,"y":36.815312000000006},{"x": 91.4,"y":36.815312000000006},{"x": 91.4,"y":36.815312000000006},{"x": 92.2,"y":36.986976},{"x": 92.2,"y":36.986976},{"x": 94,"y":37.37322},{"x": 94,"y":37.37322},{"x": 94,"y":37.37322} ] [ {"x": 80.9,"y":34.99269252},{"x": 81.3,"y":35.02738964},{"x": 81.3,"y":35.02738964},{"x": 81.8,"y":35.07076104},{"x": 82.2,"y":35.10545816},{"x": 82.2,"y":35.10545816},{"x": 83,"y":35.1748524},{"x": 83.8,"y":35.24424664},{"x": 83.8,"y":35.24424664},{"x": 84.2,"y":35.278943760000004},{"x": 85.1,"y":35.35701228},{"x": 85.1,"y":35.35701228},{"x": 86.1,"y":35.44375508},{"x": 86.2,"y":35.452429360000004},{"x": 86.4,"y":35.46977792},{"x": 86.4,"y":35.46977792},{"x": 86.4,"y":35.46977792},{"x": 86.4,"y":35.46977792},{"x": 86.4,"y":35.46977792},{"x": 86.4,"y":35.46977792},{"x": 86.7,"y":35.49580076},{"x": 86.9,"y":35.513149320000004},{"x": 87.1,"y":35.53049788},{"x": 87.4,"y":35.55652072},{"x": 87.5,"y":35.565195},{"x": 87.6,"y":35.57386928},{"x": 87.7,"y":35.58254356},{"x": 88.1,"y":35.61724068},{"x": 88.2,"y":35.62591496},{"x": 88.4,"y":35.643263520000005},{"x": 88.4,"y":35.643263520000005},{"x": 88.6,"y":35.66061208},{"x": 88.6,"y":35.66061208},{"x": 88.6,"y":35.66061208},{"x": 88.7,"y":35.66928636},{"x": 88.9,"y":35.68663492},{"x": 89.2,"y":35.71265776},{"x": 89.6,"y":35.74735488},{"x": 89.7,"y":35.75602916},{"x": 89.7,"y":35.75602916},{"x": 89.7,"y":35.75602916},{"x": 90,"y":35.782052},{"x": 90,"y":35.782052},{"x": 90,"y":35.782052},{"x": 90.2,"y":35.79940056},{"x": 90.6,"y":35.83409768},{"x": 91,"y":35.8687948},{"x": 91.4,"y":35.90349192},{"x": 91.4,"y":35.90349192},{"x": 91.4,"y":35.90349192},{"x": 91.4,"y":35.90349192},{"x": 91.4,"y":35.90349192},{"x": 91.4,"y":35.90349192},{"x": 92.2,"y":35.97288616},{"x": 92.2,"y":35.97288616},{"x": 94,"y":36.1290232},{"x": 94,"y":36.1290232},{"x": 94,"y":36.1290232} ] [ {"x": 80.9,"y":34.3238341},{"x": 81.3,"y":34.381573700000004},{"x": 81.3,"y":34.381573700000004},{"x": 81.8,"y":34.4537482},{"x": 82.2,"y":34.5114878},{"x": 82.2,"y":34.5114878},{"x": 83,"y":34.626967},{"x": 83.8,"y":34.7424462},{"x": 83.8,"y":34.7424462},{"x": 84.2,"y":34.8001858},{"x": 85.1,"y":34.9300999},{"x": 85.1,"y":34.9300999},{"x": 86.1,"y":35.0744489},{"x": 86.2,"y":35.088883800000005},{"x": 86.4,"y":35.1177536},{"x": 86.4,"y":35.1177536},{"x": 86.4,"y":35.1177536},{"x": 86.4,"y":35.1177536},{"x": 86.4,"y":35.1177536},{"x": 86.4,"y":35.1177536},{"x": 86.7,"y":35.1610583},{"x": 86.9,"y":35.1899281},{"x": 87.1,"y":35.2187979},{"x": 87.4,"y":35.262102600000006},{"x": 87.5,"y":35.2765375},{"x": 87.6,"y":35.2909724},{"x": 87.7,"y":35.3054073},{"x": 88.1,"y":35.363146900000004},{"x": 88.2,"y":35.3775818},{"x": 88.4,"y":35.406451600000004},{"x": 88.4,"y":35.406451600000004},{"x": 88.6,"y":35.4353214},{"x": 88.6,"y":35.4353214},{"x": 88.6,"y":35.4353214},{"x": 88.7,"y":35.449756300000004},{"x": 88.9,"y":35.4786261},{"x": 89.2,"y":35.5219308},{"x": 89.6,"y":35.5796704},{"x": 89.7,"y":35.5941053},{"x": 89.7,"y":35.5941053},{"x": 89.7,"y":35.5941053},{"x": 90,"y":35.63741},{"x": 90,"y":35.63741},{"x": 90,"y":35.63741},{"x": 90.2,"y":35.6662798},{"x": 90.6,"y":35.7240194},{"x": 91,"y":35.781759},{"x": 91.4,"y":35.8394986},{"x": 91.4,"y":35.8394986},{"x": 91.4,"y":35.8394986},{"x": 91.4,"y":35.8394986},{"x": 91.4,"y":35.8394986},{"x": 91.4,"y":35.8394986},{"x": 92.2,"y":35.9549778},{"x": 92.2,"y":35.9549778},{"x": 94,"y":36.214806},{"x": 94,"y":36.214806},{"x": 94,"y":36.214806} ] [ {"x": 80.9,"y":36.642335},{"x": 81.3,"y":36.651195},{"x": 81.3,"y":36.651195},{"x": 81.8,"y":36.66227},{"x": 82.2,"y":36.67113},{"x": 82.2,"y":36.67113},{"x": 83,"y":36.68885},{"x": 83.8,"y":36.70657},{"x": 83.8,"y":36.70657},{"x": 84.2,"y":36.71543},{"x": 85.1,"y":36.735365},{"x": 85.1,"y":36.735365},{"x": 86.1,"y":36.757515},{"x": 86.2,"y":36.75973},{"x": 86.4,"y":36.764160000000004},{"x": 86.4,"y":36.764160000000004},{"x": 86.4,"y":36.764160000000004},{"x": 86.4,"y":36.764160000000004},{"x": 86.4,"y":36.764160000000004},{"x": 86.4,"y":36.764160000000004},{"x": 86.7,"y":36.770805},{"x": 86.9,"y":36.775235},{"x": 87.1,"y":36.779665},{"x": 87.4,"y":36.78631},{"x": 87.5,"y":36.788525},{"x": 87.6,"y":36.79074},{"x": 87.7,"y":36.792955},{"x": 88.1,"y":36.801815},{"x": 88.2,"y":36.80403},{"x": 88.4,"y":36.808460000000004},{"x": 88.4,"y":36.808460000000004},{"x": 88.6,"y":36.81289},{"x": 88.6,"y":36.81289},{"x": 88.6,"y":36.81289},{"x": 88.7,"y":36.815105},{"x": 88.9,"y":36.819535},{"x": 89.2,"y":36.82618},{"x": 89.6,"y":36.83504},{"x": 89.7,"y":36.837255},{"x": 89.7,"y":36.837255},{"x": 89.7,"y":36.837255},{"x": 90,"y":36.8439},{"x": 90,"y":36.8439},{"x": 90,"y":36.8439},{"x": 90.2,"y":36.84833},{"x": 90.6,"y":36.85719},{"x": 91,"y":36.86605},{"x": 91.4,"y":36.87491},{"x": 91.4,"y":36.87491},{"x": 91.4,"y":36.87491},{"x": 91.4,"y":36.87491},{"x": 91.4,"y":36.87491},{"x": 91.4,"y":36.87491},{"x": 92.2,"y":36.89263},{"x": 92.2,"y":36.89263},{"x": 94,"y":36.9325},{"x": 94,"y":36.9325},{"x": 94,"y":36.9325} ] [ {"x": 80.9,"y":34.539151600000004},{"x": 81.3,"y":34.6243212},{"x": 81.3,"y":34.6243212},{"x": 81.8,"y":34.730783200000005},{"x": 82.2,"y":34.815952800000005},{"x": 82.2,"y":34.815952800000005},{"x": 83,"y":34.986292000000006},{"x": 83.8,"y":35.1566312},{"x": 83.8,"y":35.1566312},{"x": 84.2,"y":35.2418008},{"x": 85.1,"y":35.4334324},{"x": 85.1,"y":35.4334324},{"x": 86.1,"y":35.6463564},{"x": 86.2,"y":35.6676488},{"x": 86.4,"y":35.7102336},{"x": 86.4,"y":35.7102336},{"x": 86.4,"y":35.7102336},{"x": 86.4,"y":35.7102336},{"x": 86.4,"y":35.7102336},{"x": 86.4,"y":35.7102336},{"x": 86.7,"y":35.7741108},{"x": 86.9,"y":35.8166956},{"x": 87.1,"y":35.8592804},{"x": 87.4,"y":35.9231576},{"x": 87.5,"y":35.94445},{"x": 87.6,"y":35.965742399999996},{"x": 87.7,"y":35.9870348},{"x": 88.1,"y":36.072204400000004},{"x": 88.2,"y":36.0934968},{"x": 88.4,"y":36.1360816},{"x": 88.4,"y":36.1360816},{"x": 88.6,"y":36.1786664},{"x": 88.6,"y":36.1786664},{"x": 88.6,"y":36.1786664},{"x": 88.7,"y":36.199958800000005},{"x": 88.9,"y":36.242543600000005},{"x": 89.2,"y":36.3064208},{"x": 89.6,"y":36.3915904},{"x": 89.7,"y":36.412882800000006},{"x": 89.7,"y":36.412882800000006},{"x": 89.7,"y":36.412882800000006},{"x": 90,"y":36.47676},{"x": 90,"y":36.47676},{"x": 90,"y":36.47676},{"x": 90.2,"y":36.5193448},{"x": 90.6,"y":36.6045144},{"x": 91,"y":36.689684},{"x": 91.4,"y":36.7748536},{"x": 91.4,"y":36.7748536},{"x": 91.4,"y":36.7748536},{"x": 91.4,"y":36.7748536},{"x": 91.4,"y":36.7748536},{"x": 91.4,"y":36.7748536},{"x": 92.2,"y":36.9451928},{"x": 92.2,"y":36.9451928},{"x": 94,"y":37.328456},{"x": 94,"y":37.328456},{"x": 94,"y":37.328456} ] [ {"x": 80.9,"y":33.5637484},{"x": 81.3,"y":33.6901788},{"x": 81.3,"y":33.6901788},{"x": 81.8,"y":33.8482168},{"x": 82.2,"y":33.9746472},{"x": 82.2,"y":33.9746472},{"x": 83,"y":34.227508},{"x": 83.8,"y":34.4803688},{"x": 83.8,"y":34.4803688},{"x": 84.2,"y":34.606799200000005},{"x": 85.1,"y":34.8912676},{"x": 85.1,"y":34.8912676},{"x": 86.1,"y":35.2073436},{"x": 86.2,"y":35.2389512},{"x": 86.4,"y":35.302166400000004},{"x": 86.4,"y":35.302166400000004},{"x": 86.4,"y":35.302166400000004},{"x": 86.4,"y":35.302166400000004},{"x": 86.4,"y":35.302166400000004},{"x": 86.4,"y":35.302166400000004},{"x": 86.7,"y":35.3969892},{"x": 86.9,"y":35.4602044},{"x": 87.1,"y":35.5234196},{"x": 87.4,"y":35.61824240000001},{"x": 87.5,"y":35.64985},{"x": 87.6,"y":35.6814576},{"x": 87.7,"y":35.7130652},{"x": 88.1,"y":35.8394956},{"x": 88.2,"y":35.8711032},{"x": 88.4,"y":35.9343184},{"x": 88.4,"y":35.9343184},{"x": 88.6,"y":35.9975336},{"x": 88.6,"y":35.9975336},{"x": 88.6,"y":35.9975336},{"x": 88.7,"y":36.029141200000005},{"x": 88.9,"y":36.09235640000001},{"x": 89.2,"y":36.1871792},{"x": 89.6,"y":36.3136096},{"x": 89.7,"y":36.3452172},{"x": 89.7,"y":36.3452172},{"x": 89.7,"y":36.3452172},{"x": 90,"y":36.44004},{"x": 90,"y":36.44004},{"x": 90,"y":36.44004},{"x": 90.2,"y":36.503255200000005},{"x": 90.6,"y":36.6296856},{"x": 91,"y":36.756116},{"x": 91.4,"y":36.8825464},{"x": 91.4,"y":36.8825464},{"x": 91.4,"y":36.8825464},{"x": 91.4,"y":36.8825464},{"x": 91.4,"y":36.8825464},{"x": 91.4,"y":36.8825464},{"x": 92.2,"y":37.1354072},{"x": 92.2,"y":37.1354072},{"x": 94,"y":37.704344},{"x": 94,"y":37.704344},{"x": 94,"y":37.704344} ] [ {"x": 80.9,"y":35.100662920000005},{"x": 81.3,"y":35.14042244},{"x": 81.3,"y":35.14042244},{"x": 81.8,"y":35.19012184},{"x": 82.2,"y":35.22988136},{"x": 82.2,"y":35.22988136},{"x": 83,"y":35.3094004},{"x": 83.8,"y":35.38891944},{"x": 83.8,"y":35.38891944},{"x": 84.2,"y":35.42867896},{"x": 85.1,"y":35.51813788},{"x": 85.1,"y":35.51813788},{"x": 86.1,"y":35.61753668},{"x": 86.2,"y":35.62747656},{"x": 86.4,"y":35.64735632},{"x": 86.4,"y":35.64735632},{"x": 86.4,"y":35.64735632},{"x": 86.4,"y":35.64735632},{"x": 86.4,"y":35.64735632},{"x": 86.4,"y":35.64735632},{"x": 86.7,"y":35.67717596},{"x": 86.9,"y":35.69705572},{"x": 87.1,"y":35.716935480000004},{"x": 87.4,"y":35.74675512},{"x": 87.5,"y":35.756695},{"x": 87.6,"y":35.76663488},{"x": 87.7,"y":35.77657476},{"x": 88.1,"y":35.81633428},{"x": 88.2,"y":35.82627416},{"x": 88.4,"y":35.84615392},{"x": 88.4,"y":35.84615392},{"x": 88.6,"y":35.86603368},{"x": 88.6,"y":35.86603368},{"x": 88.6,"y":35.86603368},{"x": 88.7,"y":35.87597356},{"x": 88.9,"y":35.89585332},{"x": 89.2,"y":35.92567296},{"x": 89.6,"y":35.96543248},{"x": 89.7,"y":35.97537236},{"x": 89.7,"y":35.97537236},{"x": 89.7,"y":35.97537236},{"x": 90,"y":36.005192},{"x": 90,"y":36.005192},{"x": 90,"y":36.005192},{"x": 90.2,"y":36.02507176},{"x": 90.6,"y":36.06483128},{"x": 91,"y":36.1045908},{"x": 91.4,"y":36.14435032},{"x": 91.4,"y":36.14435032},{"x": 91.4,"y":36.14435032},{"x": 91.4,"y":36.14435032},{"x": 91.4,"y":36.14435032},{"x": 91.4,"y":36.14435032},{"x": 92.2,"y":36.22386936},{"x": 92.2,"y":36.22386936},{"x": 94,"y":36.4027872},{"x": 94,"y":36.4027872},{"x": 94,"y":36.4027872} ] [ {"x": 80.9,"y":34.665809700000004},{"x": 81.3,"y":34.7096629},{"x": 81.3,"y":34.7096629},{"x": 81.8,"y":34.7644794},{"x": 82.2,"y":34.8083326},{"x": 82.2,"y":34.8083326},{"x": 83,"y":34.896039},{"x": 83.8,"y":34.983745400000004},{"x": 83.8,"y":34.983745400000004},{"x": 84.2,"y":35.027598600000005},{"x": 85.1,"y":35.1262683},{"x": 85.1,"y":35.1262683},{"x": 86.1,"y":35.2359013},{"x": 86.2,"y":35.2468646},{"x": 86.4,"y":35.2687912},{"x": 86.4,"y":35.2687912},{"x": 86.4,"y":35.2687912},{"x": 86.4,"y":35.2687912},{"x": 86.4,"y":35.2687912},{"x": 86.4,"y":35.2687912},{"x": 86.7,"y":35.3016811},{"x": 86.9,"y":35.323607700000004},{"x": 87.1,"y":35.3455343},{"x": 87.4,"y":35.3784242},{"x": 87.5,"y":35.3893875},{"x": 87.6,"y":35.4003508},{"x": 87.7,"y":35.4113141},{"x": 88.1,"y":35.4551673},{"x": 88.2,"y":35.4661306},{"x": 88.4,"y":35.4880572},{"x": 88.4,"y":35.4880572},{"x": 88.6,"y":35.5099838},{"x": 88.6,"y":35.5099838},{"x": 88.6,"y":35.5099838},{"x": 88.7,"y":35.5209471},{"x": 88.9,"y":35.5428737},{"x": 89.2,"y":35.5757636},{"x": 89.6,"y":35.6196168},{"x": 89.7,"y":35.6305801},{"x": 89.7,"y":35.6305801},{"x": 89.7,"y":35.6305801},{"x": 90,"y":35.663470000000004},{"x": 90,"y":35.663470000000004},{"x": 90,"y":35.663470000000004},{"x": 90.2,"y":35.685396600000004},{"x": 90.6,"y":35.7292498},{"x": 91,"y":35.773103},{"x": 91.4,"y":35.8169562},{"x": 91.4,"y":35.8169562},{"x": 91.4,"y":35.8169562},{"x": 91.4,"y":35.8169562},{"x": 91.4,"y":35.8169562},{"x": 91.4,"y":35.8169562},{"x": 92.2,"y":35.9046626},{"x": 92.2,"y":35.9046626},{"x": 94,"y":36.102002},{"x": 94,"y":36.102002},{"x": 94,"y":36.102002} ] [ {"x": 80.9,"y":35.0069997},{"x": 81.3,"y":35.062492899999995},{"x": 81.3,"y":35.062492899999995},{"x": 81.8,"y":35.131859399999996},{"x": 82.2,"y":35.1873526},{"x": 82.2,"y":35.1873526},{"x": 83,"y":35.298339},{"x": 83.8,"y":35.4093254},{"x": 83.8,"y":35.4093254},{"x": 84.2,"y":35.4648186},{"x": 85.1,"y":35.5896783},{"x": 85.1,"y":35.5896783},{"x": 86.1,"y":35.7284113},{"x": 86.2,"y":35.7422846},{"x": 86.4,"y":35.7700312},{"x": 86.4,"y":35.7700312},{"x": 86.4,"y":35.7700312},{"x": 86.4,"y":35.7700312},{"x": 86.4,"y":35.7700312},{"x": 86.4,"y":35.7700312},{"x": 86.7,"y":35.8116511},{"x": 86.9,"y":35.8393977},{"x": 87.1,"y":35.8671443},{"x": 87.4,"y":35.9087642},{"x": 87.5,"y":35.9226375},{"x": 87.6,"y":35.9365108},{"x": 87.7,"y":35.9503841},{"x": 88.1,"y":36.005877299999995},{"x": 88.2,"y":36.0197506},{"x": 88.4,"y":36.0474972},{"x": 88.4,"y":36.0474972},{"x": 88.6,"y":36.075243799999996},{"x": 88.6,"y":36.075243799999996},{"x": 88.6,"y":36.075243799999996},{"x": 88.7,"y":36.089117099999996},{"x": 88.9,"y":36.116863699999996},{"x": 89.2,"y":36.1584836},{"x": 89.6,"y":36.2139768},{"x": 89.7,"y":36.2278501},{"x": 89.7,"y":36.2278501},{"x": 89.7,"y":36.2278501},{"x": 90,"y":36.26947},{"x": 90,"y":36.26947},{"x": 90,"y":36.26947},{"x": 90.2,"y":36.2972166},{"x": 90.6,"y":36.3527098},{"x": 91,"y":36.408203},{"x": 91.4,"y":36.4636962},{"x": 91.4,"y":36.4636962},{"x": 91.4,"y":36.4636962},{"x": 91.4,"y":36.4636962},{"x": 91.4,"y":36.4636962},{"x": 91.4,"y":36.4636962},{"x": 92.2,"y":36.5746826},{"x": 92.2,"y":36.5746826},{"x": 94,"y":36.824402},{"x": 94,"y":36.824402},{"x": 94,"y":36.824402} ] [ {"x": 80.9,"y":33.9735471},{"x": 81.3,"y":34.0907147},{"x": 81.3,"y":34.0907147},{"x": 81.8,"y":34.2371742},{"x": 82.2,"y":34.3543418},{"x": 82.2,"y":34.3543418},{"x": 83,"y":34.588677},{"x": 83.8,"y":34.8230122},{"x": 83.8,"y":34.8230122},{"x": 84.2,"y":34.9401798},{"x": 85.1,"y":35.2038069},{"x": 85.1,"y":35.2038069},{"x": 86.1,"y":35.496725899999994},{"x": 86.2,"y":35.5260178},{"x": 86.4,"y":35.5846016},{"x": 86.4,"y":35.5846016},{"x": 86.4,"y":35.5846016},{"x": 86.4,"y":35.5846016},{"x": 86.4,"y":35.5846016},{"x": 86.4,"y":35.5846016},{"x": 86.7,"y":35.6724773},{"x": 86.9,"y":35.7310611},{"x": 87.1,"y":35.7896449},{"x": 87.4,"y":35.877520600000004},{"x": 87.5,"y":35.9068125},{"x": 87.6,"y":35.9361044},{"x": 87.7,"y":35.9653963},{"x": 88.1,"y":36.0825639},{"x": 88.2,"y":36.1118558},{"x": 88.4,"y":36.1704396},{"x": 88.4,"y":36.1704396},{"x": 88.6,"y":36.229023399999996},{"x": 88.6,"y":36.229023399999996},{"x": 88.6,"y":36.229023399999996},{"x": 88.7,"y":36.2583153},{"x": 88.9,"y":36.3168991},{"x": 89.2,"y":36.4047748},{"x": 89.6,"y":36.5219424},{"x": 89.7,"y":36.5512343},{"x": 89.7,"y":36.5512343},{"x": 89.7,"y":36.5512343},{"x": 90,"y":36.63911},{"x": 90,"y":36.63911},{"x": 90,"y":36.63911},{"x": 90.2,"y":36.6976938},{"x": 90.6,"y":36.8148614},{"x": 91,"y":36.932029},{"x": 91.4,"y":37.0491966},{"x": 91.4,"y":37.0491966},{"x": 91.4,"y":37.0491966},{"x": 91.4,"y":37.0491966},{"x": 91.4,"y":37.0491966},{"x": 91.4,"y":37.0491966},{"x": 92.2,"y":37.2835318},{"x": 92.2,"y":37.2835318},{"x": 94,"y":37.810786},{"x": 94,"y":37.810786},{"x": 94,"y":37.810786} ] [ {"x": 80.9,"y":34.0292027},{"x": 81.3,"y":34.1241639},{"x": 81.3,"y":34.1241639},{"x": 81.8,"y":34.2428654},{"x": 82.2,"y":34.3378266},{"x": 82.2,"y":34.3378266},{"x": 83,"y":34.527749},{"x": 83.8,"y":34.7176714},{"x": 83.8,"y":34.7176714},{"x": 84.2,"y":34.8126326},{"x": 85.1,"y":35.0262953},{"x": 85.1,"y":35.0262953},{"x": 86.1,"y":35.2636983},{"x": 86.2,"y":35.2874386},{"x": 86.4,"y":35.3349192},{"x": 86.4,"y":35.3349192},{"x": 86.4,"y":35.3349192},{"x": 86.4,"y":35.3349192},{"x": 86.4,"y":35.3349192},{"x": 86.4,"y":35.3349192},{"x": 86.7,"y":35.4061401},{"x": 86.9,"y":35.4536207},{"x": 87.1,"y":35.5011013},{"x": 87.4,"y":35.5723222},{"x": 87.5,"y":35.5960625},{"x": 87.6,"y":35.6198028},{"x": 87.7,"y":35.6435431},{"x": 88.1,"y":35.7385043},{"x": 88.2,"y":35.7622446},{"x": 88.4,"y":35.8097252},{"x": 88.4,"y":35.8097252},{"x": 88.6,"y":35.8572058},{"x": 88.6,"y":35.8572058},{"x": 88.6,"y":35.8572058},{"x": 88.7,"y":35.8809461},{"x": 88.9,"y":35.9284267},{"x": 89.2,"y":35.9996476},{"x": 89.6,"y":36.0946088},{"x": 89.7,"y":36.1183491},{"x": 89.7,"y":36.1183491},{"x": 89.7,"y":36.1183491},{"x": 90,"y":36.18957},{"x": 90,"y":36.18957},{"x": 90,"y":36.18957},{"x": 90.2,"y":36.2370506},{"x": 90.6,"y":36.332011800000004},{"x": 91,"y":36.426973000000004},{"x": 91.4,"y":36.521934200000004},{"x": 91.4,"y":36.521934200000004},{"x": 91.4,"y":36.521934200000004},{"x": 91.4,"y":36.521934200000004},{"x": 91.4,"y":36.521934200000004},{"x": 91.4,"y":36.521934200000004},{"x": 92.2,"y":36.711856600000004},{"x": 92.2,"y":36.711856600000004},{"x": 94,"y":37.139182000000005},{"x": 94,"y":37.139182000000005},{"x": 94,"y":37.139182000000005} ] [ {"x": 80.9,"y":34.9843755},{"x": 81.3,"y":35.0360535},{"x": 81.3,"y":35.0360535},{"x": 81.8,"y":35.100651},{"x": 82.2,"y":35.152329},{"x": 82.2,"y":35.152329},{"x": 83,"y":35.255685},{"x": 83.8,"y":35.359041},{"x": 83.8,"y":35.359041},{"x": 84.2,"y":35.410719},{"x": 85.1,"y":35.5269945},{"x": 85.1,"y":35.5269945},{"x": 86.1,"y":35.656189499999996},{"x": 86.2,"y":35.669109},{"x": 86.4,"y":35.694948},{"x": 86.4,"y":35.694948},{"x": 86.4,"y":35.694948},{"x": 86.4,"y":35.694948},{"x": 86.4,"y":35.694948},{"x": 86.4,"y":35.694948},{"x": 86.7,"y":35.7337065},{"x": 86.9,"y":35.7595455},{"x": 87.1,"y":35.7853845},{"x": 87.4,"y":35.824143},{"x": 87.5,"y":35.8370625},{"x": 87.6,"y":35.849982},{"x": 87.7,"y":35.8629015},{"x": 88.1,"y":35.9145795},{"x": 88.2,"y":35.927499},{"x": 88.4,"y":35.953338},{"x": 88.4,"y":35.953338},{"x": 88.6,"y":35.979177},{"x": 88.6,"y":35.979177},{"x": 88.6,"y":35.979177},{"x": 88.7,"y":35.9920965},{"x": 88.9,"y":36.0179355},{"x": 89.2,"y":36.056694},{"x": 89.6,"y":36.108372},{"x": 89.7,"y":36.1212915},{"x": 89.7,"y":36.1212915},{"x": 89.7,"y":36.1212915},{"x": 90,"y":36.16005},{"x": 90,"y":36.16005},{"x": 90,"y":36.16005},{"x": 90.2,"y":36.185889},{"x": 90.6,"y":36.237567},{"x": 91,"y":36.289245},{"x": 91.4,"y":36.340923000000004},{"x": 91.4,"y":36.340923000000004},{"x": 91.4,"y":36.340923000000004},{"x": 91.4,"y":36.340923000000004},{"x": 91.4,"y":36.340923000000004},{"x": 91.4,"y":36.340923000000004},{"x": 92.2,"y":36.444279},{"x": 92.2,"y":36.444279},{"x": 94,"y":36.676829999999995},{"x": 94,"y":36.676829999999995},{"x": 94,"y":36.676829999999995} ] [ {"x": 80.9,"y":35.2020477},{"x": 81.3,"y":35.2638289},{"x": 81.3,"y":35.2638289},{"x": 81.8,"y":35.3410554},{"x": 82.2,"y":35.4028366},{"x": 82.2,"y":35.4028366},{"x": 83,"y":35.526399},{"x": 83.8,"y":35.6499614},{"x": 83.8,"y":35.6499614},{"x": 84.2,"y":35.7117426},{"x": 85.1,"y":35.8507503},{"x": 85.1,"y":35.8507503},{"x": 86.1,"y":36.005203300000005},{"x": 86.2,"y":36.0206486},{"x": 86.4,"y":36.0515392},{"x": 86.4,"y":36.0515392},{"x": 86.4,"y":36.0515392},{"x": 86.4,"y":36.0515392},{"x": 86.4,"y":36.0515392},{"x": 86.4,"y":36.0515392},{"x": 86.7,"y":36.0978751},{"x": 86.9,"y":36.1287657},{"x": 87.1,"y":36.1596563},{"x": 87.4,"y":36.205992200000004},{"x": 87.5,"y":36.2214375},{"x": 87.6,"y":36.236882800000004},{"x": 87.7,"y":36.2523281},{"x": 88.1,"y":36.3141093},{"x": 88.2,"y":36.3295546},{"x": 88.4,"y":36.3604452},{"x": 88.4,"y":36.3604452},{"x": 88.6,"y":36.3913358},{"x": 88.6,"y":36.3913358},{"x": 88.6,"y":36.3913358},{"x": 88.7,"y":36.4067811},{"x": 88.9,"y":36.4376717},{"x": 89.2,"y":36.4840076},{"x": 89.6,"y":36.5457888},{"x": 89.7,"y":36.5612341},{"x": 89.7,"y":36.5612341},{"x": 89.7,"y":36.5612341},{"x": 90,"y":36.60757},{"x": 90,"y":36.60757},{"x": 90,"y":36.60757},{"x": 90.2,"y":36.6384606},{"x": 90.6,"y":36.7002418},{"x": 91,"y":36.762023},{"x": 91.4,"y":36.823804200000005},{"x": 91.4,"y":36.823804200000005},{"x": 91.4,"y":36.823804200000005},{"x": 91.4,"y":36.823804200000005},{"x": 91.4,"y":36.823804200000005},{"x": 91.4,"y":36.823804200000005},{"x": 92.2,"y":36.9473666},{"x": 92.2,"y":36.9473666},{"x": 94,"y":37.225382},{"x": 94,"y":37.225382},{"x": 94,"y":37.225382} ] [ {"x": 80.9,"y":31.868672800000002},{"x": 81.3,"y":32.08978959999999},{"x": 81.3,"y":32.08978959999999},{"x": 81.8,"y":32.366185599999994},{"x": 82.2,"y":32.5873024},{"x": 82.2,"y":32.5873024},{"x": 83,"y":33.02953599999999},{"x": 83.8,"y":33.47176959999999},{"x": 83.8,"y":33.47176959999999},{"x": 84.2,"y":33.69288639999999},{"x": 85.1,"y":34.19039919999999},{"x": 85.1,"y":34.19039919999999},{"x": 86.1,"y":34.7431912},{"x": 86.2,"y":34.7984704},{"x": 86.4,"y":34.9090288},{"x": 86.4,"y":34.9090288},{"x": 86.4,"y":34.9090288},{"x": 86.4,"y":34.9090288},{"x": 86.4,"y":34.9090288},{"x": 86.4,"y":34.9090288},{"x": 86.7,"y":35.07486639999999},{"x": 86.9,"y":35.18542479999999},{"x": 87.1,"y":35.295983199999995},{"x": 87.4,"y":35.4618208},{"x": 87.5,"y":35.5171},{"x": 87.6,"y":35.572379199999986},{"x": 87.7,"y":35.6276584},{"x": 88.1,"y":35.84877519999999},{"x": 88.2,"y":35.90405439999999},{"x": 88.4,"y":36.014612799999995},{"x": 88.4,"y":36.014612799999995},{"x": 88.6,"y":36.1251712},{"x": 88.6,"y":36.1251712},{"x": 88.6,"y":36.1251712},{"x": 88.7,"y":36.1804504},{"x": 88.9,"y":36.2910088},{"x": 89.2,"y":36.4568464},{"x": 89.6,"y":36.67796319999999},{"x": 89.7,"y":36.733242399999995},{"x": 89.7,"y":36.733242399999995},{"x": 89.7,"y":36.733242399999995},{"x": 90,"y":36.89908},{"x": 90,"y":36.89908},{"x": 90,"y":36.89908},{"x": 90.2,"y":37.0096384},{"x": 90.6,"y":37.23075519999999},{"x": 91,"y":37.451871999999995},{"x": 91.4,"y":37.6729888},{"x": 91.4,"y":37.6729888},{"x": 91.4,"y":37.6729888},{"x": 91.4,"y":37.6729888},{"x": 91.4,"y":37.6729888},{"x": 91.4,"y":37.6729888},{"x": 92.2,"y":38.11522239999999},{"x": 92.2,"y":38.11522239999999},{"x": 94,"y":39.110248},{"x": 94,"y":39.110248},{"x": 94,"y":39.110248} ] [ {"x": 80.9,"y":36.9015116},{"x": 81.3,"y":36.8540412},{"x": 81.3,"y":36.8540412},{"x": 81.8,"y":36.7947032},{"x": 82.2,"y":36.7472328},{"x": 82.2,"y":36.7472328},{"x": 83,"y":36.652292},{"x": 83.8,"y":36.5573512},{"x": 83.8,"y":36.5573512},{"x": 84.2,"y":36.509880800000005},{"x": 85.1,"y":36.4030724},{"x": 85.1,"y":36.4030724},{"x": 86.1,"y":36.284396400000006},{"x": 86.2,"y":36.2725288},{"x": 86.4,"y":36.2487936},{"x": 86.4,"y":36.2487936},{"x": 86.4,"y":36.2487936},{"x": 86.4,"y":36.2487936},{"x": 86.4,"y":36.2487936},{"x": 86.4,"y":36.2487936},{"x": 86.7,"y":36.2131908},{"x": 86.9,"y":36.1894556},{"x": 87.1,"y":36.1657204},{"x": 87.4,"y":36.1301176},{"x": 87.5,"y":36.11825},{"x": 87.6,"y":36.1063824},{"x": 87.7,"y":36.0945148},{"x": 88.1,"y":36.047044400000004},{"x": 88.2,"y":36.0351768},{"x": 88.4,"y":36.0114416},{"x": 88.4,"y":36.0114416},{"x": 88.6,"y":35.9877064},{"x": 88.6,"y":35.9877064},{"x": 88.6,"y":35.9877064},{"x": 88.7,"y":35.9758388},{"x": 88.9,"y":35.9521036},{"x": 89.2,"y":35.9165008},{"x": 89.6,"y":35.8690304},{"x": 89.7,"y":35.8571628},{"x": 89.7,"y":35.8571628},{"x": 89.7,"y":35.8571628},{"x": 90,"y":35.821560000000005},{"x": 90,"y":35.821560000000005},{"x": 90,"y":35.821560000000005},{"x": 90.2,"y":35.7978248},{"x": 90.6,"y":35.750354400000006},{"x": 91,"y":35.702884},{"x": 91.4,"y":35.6554136},{"x": 91.4,"y":35.6554136},{"x": 91.4,"y":35.6554136},{"x": 91.4,"y":35.6554136},{"x": 91.4,"y":35.6554136},{"x": 91.4,"y":35.6554136},{"x": 92.2,"y":35.5604728},{"x": 92.2,"y":35.5604728},{"x": 94,"y":35.346856},{"x": 94,"y":35.346856},{"x": 94,"y":35.346856} ] [ {"x": 80.9,"y":36.0421086},{"x": 81.3,"y":36.0503702},{"x": 81.3,"y":36.0503702},{"x": 81.8,"y":36.0606972},{"x": 82.2,"y":36.068958800000004},{"x": 82.2,"y":36.068958800000004},{"x": 83,"y":36.085482},{"x": 83.8,"y":36.1020052},{"x": 83.8,"y":36.1020052},{"x": 84.2,"y":36.110266800000005},{"x": 85.1,"y":36.1288554},{"x": 85.1,"y":36.1288554},{"x": 86.1,"y":36.1495094},{"x": 86.2,"y":36.1515748},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.4,"y":36.155705600000005},{"x": 86.7,"y":36.1619018},{"x": 86.9,"y":36.1660326},{"x": 87.1,"y":36.1701634},{"x": 87.4,"y":36.176359600000005},{"x": 87.5,"y":36.178425000000004},{"x": 87.6,"y":36.180490400000004},{"x": 87.7,"y":36.1825558},{"x": 88.1,"y":36.1908174},{"x": 88.2,"y":36.1928828},{"x": 88.4,"y":36.197013600000005},{"x": 88.4,"y":36.197013600000005},{"x": 88.6,"y":36.201144400000004},{"x": 88.6,"y":36.201144400000004},{"x": 88.6,"y":36.201144400000004},{"x": 88.7,"y":36.2032098},{"x": 88.9,"y":36.2073406},{"x": 89.2,"y":36.2135368},{"x": 89.6,"y":36.221798400000004},{"x": 89.7,"y":36.223863800000004},{"x": 89.7,"y":36.223863800000004},{"x": 89.7,"y":36.223863800000004},{"x": 90,"y":36.23006},{"x": 90,"y":36.23006},{"x": 90,"y":36.23006},{"x": 90.2,"y":36.2341908},{"x": 90.6,"y":36.242452400000005},{"x": 91,"y":36.250714},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 91.4,"y":36.2589756},{"x": 92.2,"y":36.2754988},{"x": 92.2,"y":36.2754988},{"x": 94,"y":36.312676},{"x": 94,"y":36.312676},{"x": 94,"y":36.312676} ] [ {"x": 80.9,"y":34.1481278},{"x": 81.3,"y":34.260024599999994},{"x": 81.3,"y":34.260024599999994},{"x": 81.8,"y":34.399895599999994},{"x": 82.2,"y":34.511792400000004},{"x": 82.2,"y":34.511792400000004},{"x": 83,"y":34.735586},{"x": 83.8,"y":34.9593796},{"x": 83.8,"y":34.9593796},{"x": 84.2,"y":35.0712764},{"x": 85.1,"y":35.3230442},{"x": 85.1,"y":35.3230442},{"x": 86.1,"y":35.6027862},{"x": 86.2,"y":35.6307604},{"x": 86.4,"y":35.686708800000005},{"x": 86.4,"y":35.686708800000005},{"x": 86.4,"y":35.686708800000005},{"x": 86.4,"y":35.686708800000005},{"x": 86.4,"y":35.686708800000005},{"x": 86.4,"y":35.686708800000005},{"x": 86.7,"y":35.7706314},{"x": 86.9,"y":35.826579800000005},{"x": 87.1,"y":35.882528199999996},{"x": 87.4,"y":35.966450800000004},{"x": 87.5,"y":35.994425},{"x": 87.6,"y":36.022399199999995},{"x": 87.7,"y":36.0503734},{"x": 88.1,"y":36.162270199999995},{"x": 88.2,"y":36.1902444},{"x": 88.4,"y":36.2461928},{"x": 88.4,"y":36.2461928},{"x": 88.6,"y":36.302141199999994},{"x": 88.6,"y":36.302141199999994},{"x": 88.6,"y":36.302141199999994},{"x": 88.7,"y":36.3301154},{"x": 88.9,"y":36.3860638},{"x": 89.2,"y":36.469986399999996},{"x": 89.6,"y":36.58188319999999},{"x": 89.7,"y":36.609857399999996},{"x": 89.7,"y":36.609857399999996},{"x": 89.7,"y":36.609857399999996},{"x": 90,"y":36.693780000000004},{"x": 90,"y":36.693780000000004},{"x": 90,"y":36.693780000000004},{"x": 90.2,"y":36.749728399999995},{"x": 90.6,"y":36.86162519999999},{"x": 91,"y":36.973522},{"x": 91.4,"y":37.0854188},{"x": 91.4,"y":37.0854188},{"x": 91.4,"y":37.0854188},{"x": 91.4,"y":37.0854188},{"x": 91.4,"y":37.0854188},{"x": 91.4,"y":37.0854188},{"x": 92.2,"y":37.3092124},{"x": 92.2,"y":37.3092124},{"x": 94,"y":37.812748},{"x": 94,"y":37.812748},{"x": 94,"y":37.812748} ] [ {"x": 80.9,"y":33.8413482},{"x": 81.3,"y":33.9269074},{"x": 81.3,"y":33.9269074},{"x": 81.8,"y":34.0338564},{"x": 82.2,"y":34.119415599999996},{"x": 82.2,"y":34.119415599999996},{"x": 83,"y":34.290534},{"x": 83.8,"y":34.4616524},{"x": 83.8,"y":34.4616524},{"x": 84.2,"y":34.5472116},{"x": 85.1,"y":34.7397198},{"x": 85.1,"y":34.7397198},{"x": 86.1,"y":34.9536178},{"x": 86.2,"y":34.9750076},{"x": 86.4,"y":35.0177872},{"x": 86.4,"y":35.0177872},{"x": 86.4,"y":35.0177872},{"x": 86.4,"y":35.0177872},{"x": 86.4,"y":35.0177872},{"x": 86.4,"y":35.0177872},{"x": 86.7,"y":35.0819566},{"x": 86.9,"y":35.1247362},{"x": 87.1,"y":35.1675158},{"x": 87.4,"y":35.2316852},{"x": 87.5,"y":35.253074999999995},{"x": 87.6,"y":35.2744648},{"x": 87.7,"y":35.2958546},{"x": 88.1,"y":35.3814138},{"x": 88.2,"y":35.4028036},{"x": 88.4,"y":35.4455832},{"x": 88.4,"y":35.4455832},{"x": 88.6,"y":35.4883628},{"x": 88.6,"y":35.4883628},{"x": 88.6,"y":35.4883628},{"x": 88.7,"y":35.5097526},{"x": 88.9,"y":35.5525322},{"x": 89.2,"y":35.6167016},{"x": 89.6,"y":35.7022608},{"x": 89.7,"y":35.7236506},{"x": 89.7,"y":35.7236506},{"x": 89.7,"y":35.7236506},{"x": 90,"y":35.787819999999996},{"x": 90,"y":35.787819999999996},{"x": 90,"y":35.787819999999996},{"x": 90.2,"y":35.8305996},{"x": 90.6,"y":35.9161588},{"x": 91,"y":36.001718},{"x": 91.4,"y":36.0872772},{"x": 91.4,"y":36.0872772},{"x": 91.4,"y":36.0872772},{"x": 91.4,"y":36.0872772},{"x": 91.4,"y":36.0872772},{"x": 91.4,"y":36.0872772},{"x": 92.2,"y":36.2583956},{"x": 92.2,"y":36.2583956},{"x": 94,"y":36.643412},{"x": 94,"y":36.643412},{"x": 94,"y":36.643412} ] [ {"x": 80.9,"y":34.835841200000004},{"x": 81.3,"y":34.9113084},{"x": 81.3,"y":34.9113084},{"x": 81.8,"y":35.0056424},{"x": 82.2,"y":35.081109600000005},{"x": 82.2,"y":35.081109600000005},{"x": 83,"y":35.232044},{"x": 83.8,"y":35.3829784},{"x": 83.8,"y":35.3829784},{"x": 84.2,"y":35.458445600000005},{"x": 85.1,"y":35.6282468},{"x": 85.1,"y":35.6282468},{"x": 86.1,"y":35.8169148},{"x": 86.2,"y":35.835781600000004},{"x": 86.4,"y":35.8735152},{"x": 86.4,"y":35.8735152},{"x": 86.4,"y":35.8735152},{"x": 86.4,"y":35.8735152},{"x": 86.4,"y":35.8735152},{"x": 86.4,"y":35.8735152},{"x": 86.7,"y":35.9301156},{"x": 86.9,"y":35.9678492},{"x": 87.1,"y":36.0055828},{"x": 87.4,"y":36.06218320000001},{"x": 87.5,"y":36.081050000000005},{"x": 87.6,"y":36.0999168},{"x": 87.7,"y":36.1187836},{"x": 88.1,"y":36.1942508},{"x": 88.2,"y":36.213117600000004},{"x": 88.4,"y":36.2508512},{"x": 88.4,"y":36.2508512},{"x": 88.6,"y":36.288584799999995},{"x": 88.6,"y":36.288584799999995},{"x": 88.6,"y":36.288584799999995},{"x": 88.7,"y":36.30745160000001},{"x": 88.9,"y":36.3451852},{"x": 89.2,"y":36.401785600000004},{"x": 89.6,"y":36.4772528},{"x": 89.7,"y":36.4961196},{"x": 89.7,"y":36.4961196},{"x": 89.7,"y":36.4961196},{"x": 90,"y":36.55272},{"x": 90,"y":36.55272},{"x": 90,"y":36.55272},{"x": 90.2,"y":36.590453600000004},{"x": 90.6,"y":36.6659208},{"x": 91,"y":36.741388},{"x": 91.4,"y":36.816855200000006},{"x": 91.4,"y":36.816855200000006},{"x": 91.4,"y":36.816855200000006},{"x": 91.4,"y":36.816855200000006},{"x": 91.4,"y":36.816855200000006},{"x": 91.4,"y":36.816855200000006},{"x": 92.2,"y":36.9677896},{"x": 92.2,"y":36.9677896},{"x": 94,"y":37.307392},{"x": 94,"y":37.307392},{"x": 94,"y":37.307392} ] [ {"x": 80.9,"y":34.872866},{"x": 81.3,"y":34.931962},{"x": 81.3,"y":34.931962},{"x": 81.8,"y":35.005832},{"x": 82.2,"y":35.064928},{"x": 82.2,"y":35.064928},{"x": 83,"y":35.18312},{"x": 83.8,"y":35.301312},{"x": 83.8,"y":35.301312},{"x": 84.2,"y":35.360408},{"x": 85.1,"y":35.493374},{"x": 85.1,"y":35.493374},{"x": 86.1,"y":35.641114},{"x": 86.2,"y":35.655888000000004},{"x": 86.4,"y":35.685436},{"x": 86.4,"y":35.685436},{"x": 86.4,"y":35.685436},{"x": 86.4,"y":35.685436},{"x": 86.4,"y":35.685436},{"x": 86.4,"y":35.685436},{"x": 86.7,"y":35.729758000000004},{"x": 86.9,"y":35.759306},{"x": 87.1,"y":35.788854},{"x": 87.4,"y":35.833176},{"x": 87.5,"y":35.84795},{"x": 87.6,"y":35.862724},{"x": 87.7,"y":35.877498},{"x": 88.1,"y":35.936594},{"x": 88.2,"y":35.951368},{"x": 88.4,"y":35.980916},{"x": 88.4,"y":35.980916},{"x": 88.6,"y":36.010464},{"x": 88.6,"y":36.010464},{"x": 88.6,"y":36.010464},{"x": 88.7,"y":36.025238},{"x": 88.9,"y":36.054786},{"x": 89.2,"y":36.099108},{"x": 89.6,"y":36.158204},{"x": 89.7,"y":36.172978},{"x": 89.7,"y":36.172978},{"x": 89.7,"y":36.172978},{"x": 90,"y":36.2173},{"x": 90,"y":36.2173},{"x": 90,"y":36.2173},{"x": 90.2,"y":36.246848},{"x": 90.6,"y":36.305944},{"x": 91,"y":36.36504},{"x": 91.4,"y":36.424136000000004},{"x": 91.4,"y":36.424136000000004},{"x": 91.4,"y":36.424136000000004},{"x": 91.4,"y":36.424136000000004},{"x": 91.4,"y":36.424136000000004},{"x": 91.4,"y":36.424136000000004},{"x": 92.2,"y":36.542328},{"x": 92.2,"y":36.542328},{"x": 94,"y":36.808260000000004},{"x": 94,"y":36.808260000000004},{"x": 94,"y":36.808260000000004} ] [ {"x": 80.9,"y":35.556688779999995},{"x": 81.3,"y":35.56773446},{"x": 81.3,"y":35.56773446},{"x": 81.8,"y":35.58154156},{"x": 82.2,"y":35.59258724},{"x": 82.2,"y":35.59258724},{"x": 83,"y":35.6146786},{"x": 83.8,"y":35.636769959999995},{"x": 83.8,"y":35.636769959999995},{"x": 84.2,"y":35.64781564},{"x": 85.1,"y":35.672668419999994},{"x": 85.1,"y":35.672668419999994},{"x": 86.1,"y":35.700282619999996},{"x": 86.2,"y":35.703044039999995},{"x": 86.4,"y":35.70856688},{"x": 86.4,"y":35.70856688},{"x": 86.4,"y":35.70856688},{"x": 86.4,"y":35.70856688},{"x": 86.4,"y":35.70856688},{"x": 86.4,"y":35.70856688},{"x": 86.7,"y":35.716851139999996},{"x": 86.9,"y":35.72237398},{"x": 87.1,"y":35.72789682},{"x": 87.4,"y":35.736181079999994},{"x": 87.5,"y":35.7389425},{"x": 87.6,"y":35.74170392},{"x": 87.7,"y":35.74446534},{"x": 88.1,"y":35.75551102},{"x": 88.2,"y":35.75827244},{"x": 88.4,"y":35.76379528},{"x": 88.4,"y":35.76379528},{"x": 88.6,"y":35.769318119999994},{"x": 88.6,"y":35.769318119999994},{"x": 88.6,"y":35.769318119999994},{"x": 88.7,"y":35.77207954},{"x": 88.9,"y":35.77760238},{"x": 89.2,"y":35.78588664},{"x": 89.6,"y":35.796932319999996},{"x": 89.7,"y":35.799693739999995},{"x": 89.7,"y":35.799693739999995},{"x": 89.7,"y":35.799693739999995},{"x": 90,"y":35.807978},{"x": 90,"y":35.807978},{"x": 90,"y":35.807978},{"x": 90.2,"y":35.813500839999996},{"x": 90.6,"y":35.82454652},{"x": 91,"y":35.8355922},{"x": 91.4,"y":35.846637879999996},{"x": 91.4,"y":35.846637879999996},{"x": 91.4,"y":35.846637879999996},{"x": 91.4,"y":35.846637879999996},{"x": 91.4,"y":35.846637879999996},{"x": 91.4,"y":35.846637879999996},{"x": 92.2,"y":35.86872924},{"x": 92.2,"y":35.86872924},{"x": 94,"y":35.9184348},{"x": 94,"y":35.9184348},{"x": 94,"y":35.9184348} ] [ {"x": 80.9,"y":36.12490708},{"x": 81.3,"y":36.15446756},{"x": 81.3,"y":36.15446756},{"x": 81.8,"y":36.19141816},{"x": 82.2,"y":36.22097864},{"x": 82.2,"y":36.22097864},{"x": 83,"y":36.2800996},{"x": 83.8,"y":36.33922056},{"x": 83.8,"y":36.33922056},{"x": 84.2,"y":36.36878104},{"x": 85.1,"y":36.43529212},{"x": 85.1,"y":36.43529212},{"x": 86.1,"y":36.50919332},{"x": 86.2,"y":36.51658344},{"x": 86.4,"y":36.53136368},{"x": 86.4,"y":36.53136368},{"x": 86.4,"y":36.53136368},{"x": 86.4,"y":36.53136368},{"x": 86.4,"y":36.53136368},{"x": 86.4,"y":36.53136368},{"x": 86.7,"y":36.55353404},{"x": 86.9,"y":36.56831428},{"x": 87.1,"y":36.58309452},{"x": 87.4,"y":36.60526488},{"x": 87.5,"y":36.612655000000004},{"x": 87.6,"y":36.62004512},{"x": 87.7,"y":36.62743524},{"x": 88.1,"y":36.65699572},{"x": 88.2,"y":36.66438584},{"x": 88.4,"y":36.67916608},{"x": 88.4,"y":36.67916608},{"x": 88.6,"y":36.69394632},{"x": 88.6,"y":36.69394632},{"x": 88.6,"y":36.69394632},{"x": 88.7,"y":36.70133644},{"x": 88.9,"y":36.71611668},{"x": 89.2,"y":36.73828704},{"x": 89.6,"y":36.767847520000004},{"x": 89.7,"y":36.77523764},{"x": 89.7,"y":36.77523764},{"x": 89.7,"y":36.77523764},{"x": 90,"y":36.797408},{"x": 90,"y":36.797408},{"x": 90,"y":36.797408},{"x": 90.2,"y":36.81218824},{"x": 90.6,"y":36.84174872},{"x": 91,"y":36.8713092},{"x": 91.4,"y":36.90086968},{"x": 91.4,"y":36.90086968},{"x": 91.4,"y":36.90086968},{"x": 91.4,"y":36.90086968},{"x": 91.4,"y":36.90086968},{"x": 91.4,"y":36.90086968},{"x": 92.2,"y":36.95999064},{"x": 92.2,"y":36.95999064},{"x": 94,"y":37.0930128},{"x": 94,"y":37.0930128},{"x": 94,"y":37.0930128} ] [ {"x": 80.9,"y":34.5419312},{"x": 81.3,"y":34.6138384},{"x": 81.3,"y":34.6138384},{"x": 81.8,"y":34.703722400000004},{"x": 82.2,"y":34.7756296},{"x": 82.2,"y":34.7756296},{"x": 83,"y":34.919444},{"x": 83.8,"y":35.0632584},{"x": 83.8,"y":35.0632584},{"x": 84.2,"y":35.1351656},{"x": 85.1,"y":35.296956800000004},{"x": 85.1,"y":35.296956800000004},{"x": 86.1,"y":35.4767248},{"x": 86.2,"y":35.4947016},{"x": 86.4,"y":35.5306552},{"x": 86.4,"y":35.5306552},{"x": 86.4,"y":35.5306552},{"x": 86.4,"y":35.5306552},{"x": 86.4,"y":35.5306552},{"x": 86.4,"y":35.5306552},{"x": 86.7,"y":35.5845856},{"x": 86.9,"y":35.6205392},{"x": 87.1,"y":35.656492799999995},{"x": 87.4,"y":35.7104232},{"x": 87.5,"y":35.7284},{"x": 87.6,"y":35.7463768},{"x": 87.7,"y":35.7643536},{"x": 88.1,"y":35.8362608},{"x": 88.2,"y":35.854237600000005},{"x": 88.4,"y":35.890191200000004},{"x": 88.4,"y":35.890191200000004},{"x": 88.6,"y":35.9261448},{"x": 88.6,"y":35.9261448},{"x": 88.6,"y":35.9261448},{"x": 88.7,"y":35.9441216},{"x": 88.9,"y":35.9800752},{"x": 89.2,"y":36.0340056},{"x": 89.6,"y":36.1059128},{"x": 89.7,"y":36.1238896},{"x": 89.7,"y":36.1238896},{"x": 89.7,"y":36.1238896},{"x": 90,"y":36.17782},{"x": 90,"y":36.17782},{"x": 90,"y":36.17782},{"x": 90.2,"y":36.213773599999996},{"x": 90.6,"y":36.285680799999994},{"x": 91,"y":36.357588},{"x": 91.4,"y":36.429495200000005},{"x": 91.4,"y":36.429495200000005},{"x": 91.4,"y":36.429495200000005},{"x": 91.4,"y":36.429495200000005},{"x": 91.4,"y":36.429495200000005},{"x": 91.4,"y":36.429495200000005},{"x": 92.2,"y":36.5733096},{"x": 92.2,"y":36.5733096},{"x": 94,"y":36.896892},{"x": 94,"y":36.896892},{"x": 94,"y":36.896892} ] [ {"x": 80.9,"y":35.7127681},{"x": 81.3,"y":35.7002117},{"x": 81.3,"y":35.7002117},{"x": 81.8,"y":35.6845162},{"x": 82.2,"y":35.671959799999996},{"x": 82.2,"y":35.671959799999996},{"x": 83,"y":35.646847},{"x": 83.8,"y":35.6217342},{"x": 83.8,"y":35.6217342},{"x": 84.2,"y":35.6091778},{"x": 85.1,"y":35.5809259},{"x": 85.1,"y":35.5809259},{"x": 86.1,"y":35.5495349},{"x": 86.2,"y":35.5463958},{"x": 86.4,"y":35.540117599999995},{"x": 86.4,"y":35.540117599999995},{"x": 86.4,"y":35.540117599999995},{"x": 86.4,"y":35.540117599999995},{"x": 86.4,"y":35.540117599999995},{"x": 86.4,"y":35.540117599999995},{"x": 86.7,"y":35.5307003},{"x": 86.9,"y":35.524422099999995},{"x": 87.1,"y":35.5181439},{"x": 87.4,"y":35.508726599999996},{"x": 87.5,"y":35.5055875},{"x": 87.6,"y":35.5024484},{"x": 87.7,"y":35.4993093},{"x": 88.1,"y":35.4867529},{"x": 88.2,"y":35.4836138},{"x": 88.4,"y":35.477335599999996},{"x": 88.4,"y":35.477335599999996},{"x": 88.6,"y":35.4710574},{"x": 88.6,"y":35.4710574},{"x": 88.6,"y":35.4710574},{"x": 88.7,"y":35.4679183},{"x": 88.9,"y":35.4616401},{"x": 89.2,"y":35.4522228},{"x": 89.6,"y":35.4396664},{"x": 89.7,"y":35.436527299999995},{"x": 89.7,"y":35.436527299999995},{"x": 89.7,"y":35.436527299999995},{"x": 90,"y":35.42711},{"x": 90,"y":35.42711},{"x": 90,"y":35.42711},{"x": 90.2,"y":35.420831799999995},{"x": 90.6,"y":35.4082754},{"x": 91,"y":35.395719},{"x": 91.4,"y":35.3831626},{"x": 91.4,"y":35.3831626},{"x": 91.4,"y":35.3831626},{"x": 91.4,"y":35.3831626},{"x": 91.4,"y":35.3831626},{"x": 91.4,"y":35.3831626},{"x": 92.2,"y":35.358049799999996},{"x": 92.2,"y":35.358049799999996},{"x": 94,"y":35.301545999999995},{"x": 94,"y":35.301545999999995},{"x": 94,"y":35.301545999999995} ] [ {"x": 80.9,"y":32.274118200000004},{"x": 81.3,"y":32.4603974},{"x": 81.3,"y":32.4603974},{"x": 81.8,"y":32.6932464},{"x": 82.2,"y":32.8795256},{"x": 82.2,"y":32.8795256},{"x": 83,"y":33.252084},{"x": 83.8,"y":33.6246424},{"x": 83.8,"y":33.6246424},{"x": 84.2,"y":33.8109216},{"x": 85.1,"y":34.230049799999996},{"x": 85.1,"y":34.230049799999996},{"x": 86.1,"y":34.6957478},{"x": 86.2,"y":34.7423176},{"x": 86.4,"y":34.83545720000001},{"x": 86.4,"y":34.83545720000001},{"x": 86.4,"y":34.83545720000001},{"x": 86.4,"y":34.83545720000001},{"x": 86.4,"y":34.83545720000001},{"x": 86.4,"y":34.83545720000001},{"x": 86.7,"y":34.9751666},{"x": 86.9,"y":35.0683062},{"x": 87.1,"y":35.161445799999996},{"x": 87.4,"y":35.301155200000004},{"x": 87.5,"y":35.347725000000004},{"x": 87.6,"y":35.3942948},{"x": 87.7,"y":35.440864600000005},{"x": 88.1,"y":35.6271438},{"x": 88.2,"y":35.673713600000006},{"x": 88.4,"y":35.76685320000001},{"x": 88.4,"y":35.76685320000001},{"x": 88.6,"y":35.8599928},{"x": 88.6,"y":35.8599928},{"x": 88.6,"y":35.8599928},{"x": 88.7,"y":35.9065626},{"x": 88.9,"y":35.9997022},{"x": 89.2,"y":36.1394116},{"x": 89.6,"y":36.3256908},{"x": 89.7,"y":36.372260600000004},{"x": 89.7,"y":36.372260600000004},{"x": 89.7,"y":36.372260600000004},{"x": 90,"y":36.511970000000005},{"x": 90,"y":36.511970000000005},{"x": 90,"y":36.511970000000005},{"x": 90.2,"y":36.605109600000006},{"x": 90.6,"y":36.7913888},{"x": 91,"y":36.977668},{"x": 91.4,"y":37.1639472},{"x": 91.4,"y":37.1639472},{"x": 91.4,"y":37.1639472},{"x": 91.4,"y":37.1639472},{"x": 91.4,"y":37.1639472},{"x": 91.4,"y":37.1639472},{"x": 92.2,"y":37.536505600000005},{"x": 92.2,"y":37.536505600000005},{"x": 94,"y":38.374762000000004},{"x": 94,"y":38.374762000000004},{"x": 94,"y":38.374762000000004} ] [ {"x": 80.9,"y":35.099200100000004},{"x": 81.3,"y":35.143635700000004},{"x": 81.3,"y":35.143635700000004},{"x": 81.8,"y":35.1991802},{"x": 82.2,"y":35.2436158},{"x": 82.2,"y":35.2436158},{"x": 83,"y":35.332487},{"x": 83.8,"y":35.4213582},{"x": 83.8,"y":35.4213582},{"x": 84.2,"y":35.4657938},{"x": 85.1,"y":35.565773899999996},{"x": 85.1,"y":35.565773899999996},{"x": 86.1,"y":35.6768629},{"x": 86.2,"y":35.6879718},{"x": 86.4,"y":35.7101896},{"x": 86.4,"y":35.7101896},{"x": 86.4,"y":35.7101896},{"x": 86.4,"y":35.7101896},{"x": 86.4,"y":35.7101896},{"x": 86.4,"y":35.7101896},{"x": 86.7,"y":35.7435163},{"x": 86.9,"y":35.7657341},{"x": 87.1,"y":35.7879519},{"x": 87.4,"y":35.8212786},{"x": 87.5,"y":35.8323875},{"x": 87.6,"y":35.8434964},{"x": 87.7,"y":35.8546053},{"x": 88.1,"y":35.8990409},{"x": 88.2,"y":35.9101498},{"x": 88.4,"y":35.9323676},{"x": 88.4,"y":35.9323676},{"x": 88.6,"y":35.9545854},{"x": 88.6,"y":35.9545854},{"x": 88.6,"y":35.9545854},{"x": 88.7,"y":35.9656943},{"x": 88.9,"y":35.9879121},{"x": 89.2,"y":36.0212388},{"x": 89.6,"y":36.0656744},{"x": 89.7,"y":36.0767833},{"x": 89.7,"y":36.0767833},{"x": 89.7,"y":36.0767833},{"x": 90,"y":36.11011},{"x": 90,"y":36.11011},{"x": 90,"y":36.11011},{"x": 90.2,"y":36.1323278},{"x": 90.6,"y":36.1767634},{"x": 91,"y":36.221199},{"x": 91.4,"y":36.2656346},{"x": 91.4,"y":36.2656346},{"x": 91.4,"y":36.2656346},{"x": 91.4,"y":36.2656346},{"x": 91.4,"y":36.2656346},{"x": 91.4,"y":36.2656346},{"x": 92.2,"y":36.3545058},{"x": 92.2,"y":36.3545058},{"x": 94,"y":36.554466000000005},{"x": 94,"y":36.554466000000005},{"x": 94,"y":36.554466000000005} ] [ {"x": 80.9,"y":36.750935199999994},{"x": 81.3,"y":36.707466399999994},{"x": 81.3,"y":36.707466399999994},{"x": 81.8,"y":36.653130399999995},{"x": 82.2,"y":36.609661599999995},{"x": 82.2,"y":36.609661599999995},{"x": 83,"y":36.522724},{"x": 83.8,"y":36.4357864},{"x": 83.8,"y":36.4357864},{"x": 84.2,"y":36.3923176},{"x": 85.1,"y":36.2945128},{"x": 85.1,"y":36.2945128},{"x": 86.1,"y":36.185840799999994},{"x": 86.2,"y":36.174973599999994},{"x": 86.4,"y":36.153239199999994},{"x": 86.4,"y":36.153239199999994},{"x": 86.4,"y":36.153239199999994},{"x": 86.4,"y":36.153239199999994},{"x": 86.4,"y":36.153239199999994},{"x": 86.4,"y":36.153239199999994},{"x": 86.7,"y":36.120637599999995},{"x": 86.9,"y":36.098903199999995},{"x": 87.1,"y":36.077168799999995},{"x": 87.4,"y":36.044567199999996},{"x": 87.5,"y":36.033699999999996},{"x": 87.6,"y":36.022832799999996},{"x": 87.7,"y":36.011965599999996},{"x": 88.1,"y":35.9684968},{"x": 88.2,"y":35.9576296},{"x": 88.4,"y":35.9358952},{"x": 88.4,"y":35.9358952},{"x": 88.6,"y":35.9141608},{"x": 88.6,"y":35.9141608},{"x": 88.6,"y":35.9141608},{"x": 88.7,"y":35.9032936},{"x": 88.9,"y":35.8815592},{"x": 89.2,"y":35.8489576},{"x": 89.6,"y":35.8054888},{"x": 89.7,"y":35.7946216},{"x": 89.7,"y":35.7946216},{"x": 89.7,"y":35.7946216},{"x": 90,"y":35.76201999999999},{"x": 90,"y":35.76201999999999},{"x": 90,"y":35.76201999999999},{"x": 90.2,"y":35.74028559999999},{"x": 90.6,"y":35.69681679999999},{"x": 91,"y":35.653347999999994},{"x": 91.4,"y":35.609879199999995},{"x": 91.4,"y":35.609879199999995},{"x": 91.4,"y":35.609879199999995},{"x": 91.4,"y":35.609879199999995},{"x": 91.4,"y":35.609879199999995},{"x": 91.4,"y":35.609879199999995},{"x": 92.2,"y":35.522941599999996},{"x": 92.2,"y":35.522941599999996},{"x": 94,"y":35.327332},{"x": 94,"y":35.327332},{"x": 94,"y":35.327332} ] [ {"x": 80.9,"y":34.8334599},{"x": 81.3,"y":34.8975843},{"x": 81.3,"y":34.8975843},{"x": 81.8,"y":34.9777398},{"x": 82.2,"y":35.0418642},{"x": 82.2,"y":35.0418642},{"x": 83,"y":35.170113},{"x": 83.8,"y":35.2983618},{"x": 83.8,"y":35.2983618},{"x": 84.2,"y":35.3624862},{"x": 85.1,"y":35.5067661},{"x": 85.1,"y":35.5067661},{"x": 86.1,"y":35.6670771},{"x": 86.2,"y":35.6831082},{"x": 86.4,"y":35.715170400000005},{"x": 86.4,"y":35.715170400000005},{"x": 86.4,"y":35.715170400000005},{"x": 86.4,"y":35.715170400000005},{"x": 86.4,"y":35.715170400000005},{"x": 86.4,"y":35.715170400000005},{"x": 86.7,"y":35.7632637},{"x": 86.9,"y":35.7953259},{"x": 87.1,"y":35.8273881},{"x": 87.4,"y":35.8754814},{"x": 87.5,"y":35.891512500000005},{"x": 87.6,"y":35.9075436},{"x": 87.7,"y":35.9235747},{"x": 88.1,"y":35.9876991},{"x": 88.2,"y":36.0037302},{"x": 88.4,"y":36.035792400000005},{"x": 88.4,"y":36.035792400000005},{"x": 88.6,"y":36.067854600000004},{"x": 88.6,"y":36.067854600000004},{"x": 88.6,"y":36.067854600000004},{"x": 88.7,"y":36.0838857},{"x": 88.9,"y":36.1159479},{"x": 89.2,"y":36.1640412},{"x": 89.6,"y":36.2281656},{"x": 89.7,"y":36.2441967},{"x": 89.7,"y":36.2441967},{"x": 89.7,"y":36.2441967},{"x": 90,"y":36.29229},{"x": 90,"y":36.29229},{"x": 90,"y":36.29229},{"x": 90.2,"y":36.3243522},{"x": 90.6,"y":36.388476600000004},{"x": 91,"y":36.452601},{"x": 91.4,"y":36.5167254},{"x": 91.4,"y":36.5167254},{"x": 91.4,"y":36.5167254},{"x": 91.4,"y":36.5167254},{"x": 91.4,"y":36.5167254},{"x": 91.4,"y":36.5167254},{"x": 92.2,"y":36.6449742},{"x": 92.2,"y":36.6449742},{"x": 94,"y":36.933534},{"x": 94,"y":36.933534},{"x": 94,"y":36.933534} ] [ {"x": 80.9,"y":32.2},{"x": 81.3,"y":35.7},{"x": 81.3,"y":33.5},{"x": 81.8,"y":33.4},{"x": 82.2,"y":39.1},{"x": 82.2,"y":30},{"x": 83,"y":32.4},{"x": 83.8,"y":37.3},{"x": 83.8,"y":38.8},{"x": 84.2,"y":31.6},{"x": 85.1,"y":37.8},{"x": 85.1,"y":38.6},{"x": 86.1,"y":36.7},{"x": 86.2,"y":34.3},{"x": 86.4,"y":36.9},{"x": 86.4,"y":36.5},{"x": 86.4,"y":32.7},{"x": 86.4,"y":34.8},{"x": 86.4,"y":33},{"x": 86.4,"y":42.5},{"x": 86.7,"y":31},{"x": 86.9,"y":35.7},{"x": 87.1,"y":33.5},{"x": 87.4,"y":33.3},{"x": 87.5,"y":38.8},{"x": 87.6,"y":37.3},{"x": 87.7,"y":39.2},{"x": 88.1,"y":37},{"x": 88.2,"y":35.8},{"x": 88.4,"y":36.6},{"x": 88.4,"y":39.8},{"x": 88.6,"y":34.2},{"x": 88.6,"y":39},{"x": 88.6,"y":36.2},{"x": 88.7,"y":34.1},{"x": 88.9,"y":33.8},{"x": 89.2,"y":37.9},{"x": 89.6,"y":36.8},{"x": 89.7,"y":34.3},{"x": 89.7,"y":32.7},{"x": 89.7,"y":35.5},{"x": 90,"y":37.8},{"x": 90,"y":40.4},{"x": 90,"y":35.7},{"x": 90.2,"y":44.1},{"x": 90.6,"y":35.4},{"x": 91,"y":33.9},{"x": 91.4,"y":36.1},{"x": 91.4,"y":38},{"x": 91.4,"y":36.5},{"x": 91.4,"y":34.2},{"x": 91.4,"y":34.2},{"x": 91.4,"y":34.5},{"x": 92.2,"y":35.3},{"x": 92.2,"y":37},{"x": 94,"y":32.8},{"x": 94,"y":34},{"x": 94,"y":38.4} ]

Posterior density for parameter beta_height2

axisLabels "beta_height2" "density" $ distPlot $ regress0BerkeleyStudyGroupPars <#> beta_height2
0.552792 0.0315574 0.158374 0.155517 0.20749 0.0535636 0.0693521 0.0859405 0.091751 0.116644 0.123301 0.155878 0.296252 0.200138 0.0648485 0.0665007 0.0411678 0.0819898 0.0904623 0.0979247 0.0830203 0.125373 0.0826807 0.0835414 0.0241304 0.152922 0.216544 0.268717 0.0939626 0.0503668 0.230314 0.145805 0.165317 0.0189938 0.257518 0.326597 0.336095 0.292919 0.250937 0.237403 0.222189 0.229412 0.250175 0.247324 0.246334 0.240203 0.225585 0.186734 0.185735 0.169064 0.171404 0.181249 0.185057 0.160819 0.16293 0.163157 0.138938 0.109033 0.111136 0.176681 0.140675 0.224335 0.139211 0.151236 0.0738829 0.279834 0.273769 0.364326 -0.111096 0.0603968 0.111542 0.1719 0.176574 0.191084 0.149549 0.177879 0.230945 -0.0396894 0.153298 0.151191 0.0566805 0.281509 0.0053597 0.300319 0.16712 0.124932 0.280437 0.0697325 0.0578309 0.176738 0.171713 0.0922026 0.135671 0.133348 0.15208 0.070481 -0.0926089 0.0185932 0.112119 0.13243 0.190504 0.0813018 0.0582065 0.205812 -0.0479959 0.307219 0.173589 0.285957 0.274997 0.38165 0.161585 0.11375 0.178579 0.209637 0.384544 0.101411 0.0963363 0.187034 0.144349 0.162611 0.0947996 0.38365 0.420995 0.307283 0.106488 0.245464 -0.104482 0.0986062 0.0397695 0.14092 0.368184 0.227258 -0.0624688 -0.0727764 0.102695 0.129946 -0.00382509 0.0680198 -0.0146177 0.140335 -0.0425311 -0.0304226 -0.0185239 0.0690646 0.268795 0.141238 0.127185 0.0812779 0.104931 0.054737 0.214242 0.325322 0.282432 0.250172 0.152104 0.0744378 0.0936325 0.0199338 0.145292 0.0198122 -0.00798981 0.108005 0.396376 0.183216 0.100229 0.2127 0.124111 0.0062124 0.0536737 0.140811 0.155059 0.236364 0.131974 0.251651 0.239654 0.0588498 0.0429459 0.168933 0.168611 0.07146 0.00343626 -0.00819646 0.0790373 0.214365 -0.0254663 0.00989728 0.0905844 0.269836 0.068098 0.414788 0.156411 0.238647 0.243941 0.195874 -0.0428788 0.158908 0.0745022 0.129186 0.0564728 0.144975 0.0295085 0.247652 0.23084 0.386743 0.0314128 0.0359412 0.125946 0.230189 -0.0340231 0.0427208 0.0174608 0.115141 0.099526 -0.0440636 0.252543 0.284513 -0.0194128 0.279438 0.137492 0.248459 0.091655 0.213995 0.273104 -0.163049 0.148735 0.110214 -0.0101175 0.0328462 0.225511 0.184232 -0.0699468 0.163027 0.0477284 0.0338071 0.105138 0.253181 -0.00672958 0.293957 0.170178 0.181996 -0.0349824 0.243845 0.04665 0.0775722 -0.0394869 0.020654 0.206761 0.338808 0.159231 -0.0293006 0.0986236 0.0988189 -0.126645 -0.110574 0.256211 0.02969 0.0944671 0.0281348 0.0589412 0.261541 0.254793 0.0939368 0.0318524 0.226001 0.285185 0.197615 -0.0928089 0.380738 0.106995 0.226432 0.240258 0.216548 0.188609 0.167535 -0.195023 0.114611 0.256491 0.354579 0.0709858 0.279742 0.0126746 0.150085 0.260218 0.189654 0.0492938 -0.00294155 0.00360748 -0.127196 0.17122 0.129771 0.100191 -0.245678 0.0821146 0.0285249 0.122743 -0.0672303 0.0799636 0.37121 0.0937399 0.230295 0.208015 0.203758 0.111384 0.195573 0.129195 0.101942 0.104969 0.396938 0.178488 0.0834306 0.205422 0.162443 0.160311 0.0668023 0.0656976 0.464725 0.14743 0.143981 0.0736104 0.0436936 0.246696 0.105941 0.125308 0.0715239 0.229957 0.225341 0.159997 0.108233 -0.108672 0.347315 0.267025 0.117615 0.151457 0.340706 0.196592 0.264108 0.163535 0.14004 0.3769 0.138541 0.123307 -0.065967 0.352838 0.355715 0.155677 0.311298 0.113826 0.129518 0.189206 0.0541363 0.327389 0.0364788 0.0897182 0.105856 0.333046 0.472433 0.135335 0.306145 0.076126 0.370916 0.0679814 0.21458 0.162059 0.0673964 0.155364 0.203783 0.141972 -0.158443 0.0523042 0.0378804 0.126781 0.11393 0.144024 -0.0815722 -0.067862 -0.0445978 -0.0580141 -0.0341942 0.00558214 0.0268332 -0.00830006 -0.0202524 -0.0362541 -0.0429696 -0.0662865 -0.112562 -0.0828392 -0.0822594 -0.110812 -0.0664168 -0.0623908 -0.0512881 -0.0116348 -0.0381377 -0.00670199 0.12585 0.253919 0.316508 0.0697754 0.221595 0.289505 0.1176 0.281123 0.182168 0.182584 0.0263842 0.0106684 0.323886 0.12305 0.222304 0.323089 0.139168 0.304962 0.318085 0.0731113 0.0947645 0.170152 0.162543 0.029396 0.251376 0.156021 0.111089 0.26812 0.27121 0.165537 0.369233 0.330636 0.0365825 -0.0171714 0.0676559 0.118154 0.0943653 -0.0564059 0.175867 0.0622742 0.0841669 0.0650938 0.0931193 0.170648 0.0674342 0.191725 0.0070504 0.068951 0.219316 0.18776 0.174552 0.127875 0.259671 0.229142 0.23397 0.233104 0.247547 0.0385159 0.287439 0.180855 0.00250377 0.276078 0.18075 0.175809 0.170263 -0.0747434 0.107 0.160748 0.304668 0.213898 0.0230321 0.0129051 0.354507 0.102792 0.109633 0.20093 0.182569 0.190982 0.0614814 0.0256007 -0.183134 0.153477 0.311192 0.161927 0.148073 -0.0698036 0.154308 0.0256676 0.106016 0.209985 0.165444 0.138733 0.203407 -0.124612 0.189457 0.15431 0.0520429 0.256472 -0.0495636 0.129466 0.135242 0.0724343 0.16945 0.380878 0.140867 0.214179 0.0442032 0.161586 0.0876404 0.0572877 0.175527 0.240831 0.322668 0.0329478 0.12535 0.078011 0.205691 0.144726 0.216093 0.198946 -0.017072 0.292492 0.385969 0.19863 0.02215 0.154282 0.32867 0.224987 0.371954 0.104063 0.135215 0.0108909 -0.0568763 0.0702561 0.271702 0.16852 0.150775 -0.0707796 -0.0150858 0.19578 0.223064 -0.0620938 0.271861 0.0276142 0.0725624 0.210329 0.223933 0.218651 0.0698001 0.0889207 0.0560233 0.146488 0.100377 0.0590726 0.110663 0.23921 0.224365 0.303987 0.0976985 0.283036 0.0983863 0.0684541 0.0748153 0.101563 0.136082 0.1546 0.226878 -0.00770736 0.117904 0.112164 0.151251 0.139889 0.141779 0.0405141 0.124109 0.101802 0.119893 0.132009 0.175654 0.0417583 0.158135 0.131713 0.00230744 0.0452634 0.247058 -0.0689846 0.173431 -0.0464122 0.0126937 0.302759 0.162129 0.112308 0.077382 0.064999 0.377271 0.174856 0.0112185 0.227233 0.0520735 0.224426 0.330758 0.212924 0.136953 0.153527 0.222402 0.0935384 0.311768 0.243578 -0.0415013 -0.0671608 0.0634484 0.0375334 0.17967 0.00909561 0.00571362 0.325973 0.27859 0.261942 0.197906 0.140967 0.13339 0.152037 0.465698 0.0602746 0.16128 0.118172 0.0983375 0.0375857 0.170311 0.136151 0.0611762 0.0902399 -0.0882958 0.0652795 0.109049 -0.141349 0.0055554 0.128272 0.29553 0.302535 0.23944 0.184049 0.299214 0.108866 0.0803608 0.306651 0.015947 0.068904 0.00523594 -0.0157635 -0.0330316 -0.0669392 0.00365582 0.107894 0.205923 0.332363 0.142912 0.179768 0.184383 0.249724 0.190417 0.304605 0.369707 -0.0385831 -0.12115 0.128899 0.266161 0.133927 0.168055 0.0253031 0.034396 0.12831 -0.031391 0.122241 0.147762 0.0494364 0.124713 0.302093 0.0663223 0.165961 0.0692008 0.143481 0.00978795 0.19451 0.105662 -0.0208552 0.101766 0.0579262 0.246738 -0.00823154 0.0879597 0.142807 0.319788 0.146327 0.202766 0.0367556 0.11003 0.0716558 0.0100665 0.131126 0.11934 0.207624 0.29408 0.129148 0.0295081 0.127826 0.056886 0.280804 0.10632 0.101901 0.141945 -0.15284 0.0961121 0.0922854 0.170879 -0.0629017 0.210996 -0.0628605 -0.0773754 0.141188 0.186171 0.113944 0.12127 0.216085 0.169591 -0.118676 0.160821 0.0279064 0.0607312 0.275023 0.170025 0.184205 0.192735 0.147553 -0.0126641 -0.00523425 0.0734957 0.0352809 0.273894 0.112257 0.114337 0.190826 0.161388 0.0885234 0.336229 0.163099 0.0897426 -0.0404964 -0.0651711 0.128553 -0.0398801 0.257264 0.277776 0.221588 0.154336 0.0527637 0.121439 0.0541189 0.0348566 0.0553021 0.235274 0.0748903 0.00851142 -0.136007 0.0187451 0.00652546 0.0591003 -0.125656 0.107002 0.18747 0.237054 0.103098 0.0582227 0.164861 0.1606 0.145682 0.164957 0.357054 0.17357 0.0687406 -0.220849 0.154453 -0.11289 0.0790584 0.11235 0.0949294 0.188668 0.255959 0.170737 -0.020339 0.160797 0.267712 0.206817 0.146651 0.271951 0.163044 0.126093 0.238887 0.284401 0.0342771 0.108482 0.175607 0.118058 0.144234 -0.0861486 0.198148 0.21916 0.0218779 0.0529354 0.17484 -0.0401707 0.17616 0.309874 0.233034 -0.210841 0.155841 0.211865 0.133098 0.141596 0.111941 -0.01187 0.130983 0.340942 0.00457091 -0.0202677 0.121654 0.100288 -0.0379608 -0.0335975 0.0555975 0.0989793 0.100595 -0.0802315 0.284864 0.267719 0.191498 -0.200683 0.02027 0.288846 0.183207 0.145753 0.00263621 0.100566 -0.0227839 -0.0270501 0.420196 0.17919 0.355635 0.103939 0.177406 0.318352 0.136148 0.303608 0.102813 0.115598 0.0218583 0.133111 0.0992896 0.117359 0.148877 0.156257 0.175634 0.186946 0.340928 -0.0570533 -0.0539284 0.123935 -0.0581302 0.115657 0.0627684 0.167309 0.0439992 0.0618226 0.158117 0.202031 0.146682 0.210561 0.107005 0.263674 0.113082 0.30165 0.0739012 0.209773 0.0317298 0.317399 0.164367 0.0374587 0.0803368 0.0473403 0.0459184 0.0426864 0.0252692 0.0422957 0.076788 0.0744108 0.0701187 0.102229 0.10352 0.0527699 0.0492124 0.0735167 0.116614 0.00222028 -0.0707673 0.14774 0.0754018 0.162886 0.210953 0.113894 0.0837721 -0.0313807 -0.0299892 0.246124 0.274992 0.185823 0.166985 -0.0665262 0.111038 0.25788 0.260608 0.175719 0.109697 0.0576256 0.0707958 0.0498098 0.0462627 0.0396226 0.0580164 0.0170882 0.0197909 0.000247904 0.0294194 0.0376114 0.343029 0.024283 0.183001 0.124081 0.215829 0.00544305 0.0517965 0.0430379 0.223216 0.0993988 0.178702 0.078944 0.0592459 0.203029 0.294866 0.169811 0.128428 0.272703 0.045578 -0.043546 0.125424 0.127935 0.0867428 0.0596605 0.276508 0.0968034 0.12221 0.309759 0.098661 -0.0528369 0.0524218 0.319178 0.316076 -0.0277014 0.0484843 0.0399346 0.047754 0.0836208 0.262494 0.192662 0.190991 0.159999 0.269571 0.0772997 0.181684 0.292028 0.106633 0.281918 -0.133943 0.0579751 0.215456 0.132379 -0.162819 0.310853 0.228481 -0.0304824 -0.0221008 0.160555 0.188676 0.0156135 0.296858 0.305065 0.242873 0.147074 -0.0176923 -0.0919172 0.152933 0.137048 0.164132 0.0699543 0.263445
regress0BerkeleyStudyGroupPars <#> beta_height2 > 0 ⇒ 87%

Here, there might be a positive slope; but we don't want to bet the house on it.

I want to emphasise that these test outcomes are probabilities about a hypothesis actually being true. You can use them for decisions or gambling or for comparisons with other test outcomes. In contrast the p-values from classical significance tests cannot be compared in the same way between tests.

This is just the simplest use of Bayesian analysis with Baysig. If you want to read more about Baysig, including how you can use it with dynamical systems models, you may want to take the Quick tour. Alternatively, you can use BayesHive to build the models and generate the Baysig code for you.