Poisson regression

Let’s count limpets!

Andrew, Jake and Salix true
2022-06-23

Poisson regression

$$ \[\begin{align} y &\sim \text{Poisson}(\lambda) \\ log(\lambda) &= \alpha + \beta x \end{align}\]

$$

What are these?

counting limpets on quadrats

tidal height is the predictor

0 is sea level

At sea level, how many limpets on average

[1] 30

for every 1m change in tide, how do limpts change?

about 10% less for every m

okay now make fake observations


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      variable
draw   b_Intercept        b_tide    lprior      lp__
  1       3.448251 -0.0766674608 -1.917341 -129.4652
  2       3.387043 -0.0523059996 -1.917458 -132.7404
  3       3.387043 -0.0523059996 -1.917458 -132.7404
  4       3.402355 -0.0620021280 -1.917243 -130.4672
  5       3.469774 -0.0601302909 -1.917358 -129.6291
  6       3.460665 -0.0744719088 -1.917432 -129.8103
  7       3.468766 -0.0518254567 -1.917276 -129.5942
  8       3.407816 -0.0697487676 -1.917190 -129.6641
  9       3.450575 -0.0766573573 -1.917361 -129.5372
  10      3.336024 -0.1132280655 -1.917276 -131.5257
  11      3.525606 -0.0356117073 -1.917668 -131.8206
  12      3.410235 -0.0749219048 -1.917180 -129.3742
  13      3.468921 -0.0422459112 -1.917218 -129.8961
  14      3.493310 -0.0287188061 -1.917259 -130.7057
  15      3.357313 -0.1210924881 -1.917180 -130.8530
  16      3.383675 -0.0809698083 -1.917225 -130.1133
  17      3.399496 -0.0790174908 -1.917185 -129.5494
  18      3.449246 -0.0681296861 -1.917274 -129.2647
  19      3.408467 -0.0812996018 -1.917182 -129.2801
  20      3.461436 -0.0625626907 -1.917313 -129.4402
  21      3.477274 -0.0583064358 -1.917407 -129.8483
  22      3.435446 -0.1038601130 -1.917541 -131.0963
  23      3.423528 -0.0901842302 -1.917276 -129.4652
  24      3.362887 -0.0912808841 -1.917271 -130.7112
  25      3.490940 -0.0586857053 -1.917568 -130.5142
  26      3.397279 -0.0709555769 -1.917217 -130.0415
  27      3.392378 -0.0666568397 -1.917268 -130.6449
  28      3.412349 -0.0615483284 -1.917203 -130.0004
  29      3.408490 -0.0787081245 -1.917180 -129.3189
  30      3.445058 -0.0543610843 -1.917189 -129.4935
  31      3.435062 -0.0856389470 -1.917320 -129.5062
  32      3.407694 -0.0914231513 -1.917206 -129.3598
  33      3.358247 -0.1050159490 -1.917213 -130.5260
  34      3.358247 -0.1050159490 -1.917213 -130.5260
  35      3.370107 -0.0856011439 -1.917267 -130.5949
  36      3.463624 -0.0252661364 -1.917184 -131.3859
  37      3.436231 -0.1059472033 -1.917583 -131.4097
  38      3.397226 -0.0483919136 -1.917401 -132.4075
  39      3.477711 -0.0303753054 -1.917199 -130.5877
  40      3.498352 -0.0108369301 -1.917193 -132.1675
  41      3.457261 -0.0679490385 -1.917330 -129.4337
  42      3.417981 -0.0683713044 -1.917180 -129.4118
  43      3.415339 -0.0843833666 -1.917204 -129.2194
  44      3.430353 -0.0663294903 -1.917188 -129.2457
  45      3.430353 -0.0663294903 -1.917188 -129.2457
  46      3.430353 -0.0663294903 -1.917188 -129.2457
  47      3.463985 -0.0732702927 -1.917453 -129.8906
  48      3.413017 -0.0718473365 -1.917180 -129.4061
  49      3.461473 -0.0525460598 -1.917239 -129.5026
  50      3.406243 -0.0596370509 -1.917237 -130.4617
  51      3.397445 -0.0603141903 -1.917284 -130.9283
  52      3.414955 -0.0556617972 -1.917219 -130.3599
  53      3.471502 -0.0782967921 -1.917617 -130.6685
  54      3.429824 -0.0787778361 -1.917236 -129.1806
  55      3.405741 -0.0594954596 -1.917241 -130.5026
  56      3.459914 -0.0551292909 -1.917247 -129.4371
  57      3.459914 -0.0551292909 -1.917247 -129.4371
  58      3.384664 -0.0952301244 -1.917180 -129.6908
  59      3.416618 -0.0534709623 -1.917223 -130.4775
  60      3.390997 -0.1222496429 -1.917314 -131.2044
  61      3.433686 -0.0786982286 -1.917256 -129.2198
  62      3.429681 -0.0811636403 -1.917250 -129.2296
  63      3.384529 -0.1005578902 -1.917181 -129.7417
  64      3.464051 -0.0298895778 -1.917180 -130.8769
  65      3.400474 -0.0518160097 -1.917336 -131.6868
  66      3.462105 -0.0777381854 -1.917491 -130.0806
  67      3.405544 -0.1047237360 -1.917271 -129.9769
  68      3.376394 -0.1107107353 -1.917185 -130.1494
  69      3.411015 -0.0734970970 -1.917180 -129.4003
  70      3.447966 -0.0683629582 -1.917268 -129.2473
  71      3.431559 -0.0724627758 -1.917211 -129.1441
  72      3.442303 -0.0741225314 -1.917275 -129.2475
  73      3.391146 -0.1110805540 -1.917233 -130.1928
  74      3.483571 -0.0360980838 -1.917253 -130.2427
  75      3.383910 -0.0887804875 -1.917193 -129.7967
  76      3.471750 -0.0611002692 -1.917386 -129.7142
  77      3.396277 -0.0913423815 -1.917182 -129.4489
  78      3.437674 -0.0723554734 -1.917237 -129.1657
  79      3.400167 -0.0815614619 -1.917181 -129.4565
  80      3.431686 -0.0739589590 -1.917219 -129.1437
  81      3.403724 -0.1121608496 -1.917320 -130.5524
  82      3.463374 -0.0616707052 -1.917320 -129.4757
  83      3.405961 -0.0799639226 -1.917180 -129.3485
  84      3.405961 -0.0799639226 -1.917180 -129.3485
  85      3.388839 -0.0940478542 -1.917180 -129.5950
  86      3.461920 -0.0567643480 -1.917269 -129.4387
  87      3.464063 -0.0282462822 -1.917180 -131.0437
  88      3.366874 -0.1267749166 -1.917209 -131.1881
  89      3.393504 -0.1134730584 -1.917261 -130.4122
  90      3.456678 -0.0629558836 -1.917283 -129.3467
  91      3.418372 -0.0761966634 -1.917187 -129.1973
  92      3.389263 -0.1048072417 -1.917198 -129.8312
  93      3.485232 -0.0398988604 -1.917292 -130.1222
  94      3.419899 -0.0707165194 -1.917181 -129.2869
  95      3.409630 -0.1014538997 -1.917273 -129.8351
  96      3.453280 -0.0335111099 -1.917185 -130.8514
  97      3.399272 -0.0694571142 -1.917217 -130.0452
  98      3.440269 -0.0823590035 -1.917331 -129.4876
  99      3.542667 -0.0082439690 -1.917473 -133.0577
  100     3.389397 -0.0990590568 -1.917184 -129.6457
  101     3.397895 -0.0780609284 -1.917190 -129.6393
  102     3.442961 -0.0539426040 -1.917184 -129.5440
  103     3.422977 -0.0810207001 -1.917217 -129.1783
  104     3.372179 -0.0981011021 -1.917195 -130.0517
  105     3.393122 -0.1117437727 -1.917247 -130.2683
  106     3.393122 -0.1117437727 -1.917247 -130.2683
  107     3.431670 -0.0565214038 -1.917180 -129.6472
  108     3.430008 -0.0554748632 -1.917182 -129.7614
  109     3.405834 -0.0644770627 -1.917214 -130.0835
  110     3.460670 -0.0832176151 -1.917551 -130.4330
  111     3.454149 -0.0782899003 -1.917412 -129.7521
  112     3.410925 -0.0852644404 -1.917194 -129.2470
  113     3.439757 -0.0513264949 -1.917180 -129.7602
  114     3.400396 -0.0810626144 -1.917181 -129.4623
  115     3.395167 -0.0792631393 -1.917193 -129.6914
  116     3.476452 -0.0445772270 -1.917270 -129.8546
  117     3.421580 -0.0635831906 -1.917181 -129.5354
  118     3.459061 -0.0772026766 -1.917450 -129.8987
  119     3.394772 -0.1245531645 -1.917368 -131.6191
  120     3.407045 -0.0906170658 -1.917201 -129.3420
  121     3.472380 -0.0579029255 -1.917357 -129.6738
  122     3.489752 -0.0501462945 -1.917436 -130.1816
  123     3.440691 -0.0634502250 -1.917206 -129.2316
  124     3.440691 -0.0634502250 -1.917206 -129.2316
  125     3.409921 -0.0993309339 -1.917259 -129.7083
  126     3.491993 -0.0211783568 -1.917211 -131.2262
  127     3.389388 -0.0769841652 -1.917221 -130.0529
  128     3.485429 -0.0776430818 -1.917815 -131.6386
  129     3.430263 -0.0535961434 -1.917184 -129.8832
  130     3.326665 -0.1258750748 -1.917244 -131.9837
  131     3.493566 -0.0722475920 -1.917845 -131.7442
  132     3.487715 -0.0655013980 -1.917632 -130.7174
  133     3.477072 -0.0706152139 -1.917571 -130.4089
  134     3.382834 -0.0779383077 -1.917246 -130.3373
  135     3.381193 -0.0843051883 -1.917219 -130.0690
  136     3.461325 -0.0681337113 -1.917367 -129.5600
  137     3.404309 -0.0783671636 -1.917181 -129.4271
  138     3.459459 -0.0930378892 -1.917694 -131.3892
  139     3.417892 -0.0797228023 -1.917195 -129.1800
  140     3.493937 -0.0516789668 -1.917503 -130.4048
  141     3.494097 -0.0526410951 -1.917518 -130.4418
  142     3.362830 -0.0949967827 -1.917246 -130.5479
  143     3.470108 -0.0459094323 -1.917243 -129.7502
  144     3.462827 -0.0551377105 -1.917263 -129.4677
  145     3.456148 -0.0664464947 -1.917308 -129.3749
  146     3.427210 -0.0852069117 -1.917263 -129.3198
  147     3.420221 -0.0805890119 -1.917205 -129.1731
  148     3.383007 -0.1256471904 -1.917286 -131.3491
  149     3.463543 -0.0554362219 -1.917270 -129.4738
  150     3.425349 -0.0915206546 -1.917300 -129.5745
  151     3.464495 -0.0535023534 -1.917262 -129.5112
  152     3.463306 -0.0483078083 -1.917224 -129.6378
  153     3.384235 -0.1015516288 -1.917182 -129.7663
  154     3.516642 -0.0329394922 -1.917509 -131.2723
  155     3.455834 -0.0740586563 -1.917380 -129.6002
  156     3.472164 -0.0365469568 -1.917205 -130.2018
  157     3.359524 -0.1164191561 -1.917180 -130.6209
  158     3.474478 -0.0107498642 -1.917197 -132.8557
  159     3.410977 -0.0886742331 -1.917206 -129.2958
  160     3.440265 -0.0765547886 -1.917280 -129.2699
  161     3.441303 -0.0548422268 -1.917184 -129.5267
  162     3.379661 -0.0761625283 -1.917278 -130.6516
  163     3.482737 -0.0697361692 -1.917633 -130.6985
  164     3.425496 -0.0894213413 -1.917283 -129.4674
  165     3.378526 -0.0730527378 -1.917311 -130.9846
  166     3.363674 -0.1109428685 -1.917182 -130.3736
  167     3.468180 -0.0417050060 -1.917212 -129.9244
  168     3.398579 -0.0925338745 -1.917186 -129.4299
  169     3.534488 -0.0499398100 -1.918112 -133.4167
  170     3.551473 -0.0658356233 -1.918962 -137.8750
  171     3.491049 -0.0636641723 -1.917648 -130.8115
  172     3.417058 -0.0998964119 -1.917311 -129.9034
  173     3.492739 -0.0441158078 -1.917394 -130.2535
  174     3.383621 -0.0969933439 -1.917180 -129.7186
  175     3.454171 -0.0565860517 -1.917227 -129.3747
  176     3.442385 -0.0347153075 -1.917209 -131.1772
  177     3.435359 -0.0525264114 -1.917180 -129.7988
  178     3.427474 -0.0439182965 -1.917225 -130.8870
  179     3.439364 -0.0211100210 -1.917315 -133.2983
  180     3.490243 -0.0535597695 -1.917485 -130.2785
  181     3.373652 -0.1021029925 -1.917183 -129.9934
  182     3.399731 -0.0461278158 -1.917403 -132.5222
  183     3.396967 -0.0414753006 -1.917491 -133.4992
  184     3.485585 -0.0815973287 -1.917897 -132.1224
  185     3.487428 -0.0785833913 -1.917868 -131.9184
  186     3.389672 -0.1042738488 -1.917197 -129.8080
  187     3.401196 -0.1108343997 -1.917290 -130.3599
  188     3.449860 -0.0659651589 -1.917262 -129.2566
  189     3.422068 -0.0794096076 -1.917207 -129.1624
  190     3.418916 -0.0736700345 -1.917183 -129.2308
  191     3.486104 -0.0503641077 -1.917402 -130.0429
  192     3.350037 -0.0983707015 -1.917301 -131.1578
  193     3.458738 -0.1017582918 -1.917846 -132.5504
  194     3.421576 -0.0432295563 -1.917259 -131.3054
  195     3.452009 -0.0522989981 -1.917200 -129.5137
  196     3.440123 -0.0848165817 -1.917354 -129.6128
  197     3.410590 -0.0606521683 -1.917213 -130.1505
  198     3.390293 -0.1009991975 -1.917190 -129.6877
  199     3.484448 -0.0288574054 -1.917216 -130.6621
  200     3.389585 -0.1133872425 -1.917239 -130.3403
  201     3.408122 -0.1030093504 -1.917275 -129.9095
  202     3.422567 -0.1132354029 -1.917519 -131.5281
  203     3.416705 -0.1307841931 -1.917722 -133.9915
  204     3.336614 -0.0967607013 -1.917436 -132.2553
  205     3.465720 -0.0493360850 -1.917241 -129.6146
  206     3.465720 -0.0493360850 -1.917241 -129.6146
  207     3.470727 -0.0420452971 -1.917224 -129.9059
  208     3.374385 -0.1023251842 -1.917182 -129.9754
  209     3.461669 -0.0512721388 -1.917233 -129.5371
  210     3.415387 -0.0931117425 -1.917249 -129.4690
  211     3.459766 -0.0749904139 -1.917430 -129.8002
  212     3.497753 -0.0440649161 -1.917445 -130.4457
  213     3.357786 -0.1059152221 -1.917210 -130.5376
  214     3.453956 -0.0648931314 -1.917280 -129.3122
  215     3.466774 -0.0589814941 -1.917322 -129.5319
  216     3.370014 -0.1171779465 -1.917187 -130.5114
  217     3.442716 -0.0475586984 -1.917180 -129.9422
  218     3.408217 -0.1024097541 -1.917271 -129.8706
  219     3.467878 -0.0431474437 -1.917218 -129.8541
  220     3.406556 -0.0985762263 -1.917236 -129.6212
  221     3.440087 -0.0523643216 -1.917180 -129.6874
  222     3.440087 -0.0523643216 -1.917180 -129.6874
  223     3.350307 -0.1131436222 -1.917207 -130.8344
  224     3.469884 -0.0621076217 -1.917380 -129.6745
  225     3.356550 -0.0944603867 -1.917287 -130.9363
  226     3.481025 -0.0315975108 -1.917216 -130.4842
  227     3.371537 -0.1065727938 -1.917180 -130.0998
  228     3.459755 -0.0609691488 -1.917288 -129.3932
  229     3.459755 -0.0609691488 -1.917288 -129.3932
  230     3.449052 -0.0563064284 -1.917206 -129.3847
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  1720    3.376396 -0.0683517078 -1.917375 -131.6087
  1721    3.408098 -0.0762298204 -1.917180 -129.3889
  1722    3.467140 -0.0607399030 -1.917341 -129.5618
  1723    3.383405 -0.0976985275 -1.917180 -129.7270
  1724    3.448134 -0.0591493302 -1.917214 -129.3092
  1725    3.453305 -0.0532111969 -1.917208 -129.4720
  1726    3.371665 -0.0978368758 -1.917197 -130.0737
  1727    3.374303 -0.0988225745 -1.917188 -129.9733
  1728    3.494408 -0.0406785493 -1.917372 -130.3303
  1729    3.493473 -0.0507106001 -1.917484 -130.3571
  1730    3.398804 -0.0839715963 -1.917180 -129.4426
  1731    3.463914 -0.0770430898 -1.917502 -130.1250
  1732    3.449020 -0.0551464891 -1.917201 -129.4240
  1733    3.404964 -0.1052901592 -1.917272 -130.0056
  1734    3.407579 -0.0978611604 -1.917237 -129.5971
  1735    3.403775 -0.1013067817 -1.917239 -129.7329
  1736    3.399186 -0.1109072364 -1.917277 -130.3181
  1737    3.449449 -0.0395056737 -1.917181 -130.3998
  1738    3.437043 -0.0541102152 -1.917180 -129.6539
  1739    3.474491 -0.0480654053 -1.917284 -129.7458
  1740    3.454350 -0.0303233464 -1.917190 -131.1569
  1741    3.418718 -0.0908191680 -1.917252 -129.4144
  1742    3.438876 -0.0528953451 -1.917180 -129.6833
  1743    3.403654 -0.0924603995 -1.917197 -129.3922
  1744    3.403654 -0.0924603995 -1.917197 -129.3922
  1745    3.355651 -0.1047449345 -1.917225 -130.6451
  1746    3.468371 -0.0450871240 -1.917230 -129.7713
  1747    3.423083 -0.0988981899 -1.917350 -130.0123
  1748    3.450207 -0.0441552365 -1.917180 -130.0024
  1749    3.438119 -0.0486755449 -1.917182 -129.9933
  1750    3.443445 -0.0900306906 -1.917445 -130.1096
  1751    3.489599 -0.0413824328 -1.917338 -130.1827
  1752    3.389216 -0.1024470517 -1.917191 -129.7411
  1753    3.366930 -0.0796470559 -1.917341 -131.2375
  1754    3.462890 -0.0829189501 -1.917575 -130.5392
  1755    3.447538 -0.0879428279 -1.917462 -130.1318
  1756    3.437829 -0.0796411660 -1.917289 -129.3162
  1757    3.444056 -0.0701943799 -1.917258 -129.2120
  1758    3.443821 -0.0622739429 -1.917212 -129.2474
  1759    3.473933 -0.0359017809 -1.917208 -130.2329
  1760    3.486405 -0.0196071541 -1.917189 -131.4211
  1761    3.452851 -0.0821405957 -1.917446 -129.9410
  1762    3.478047 -0.0421576732 -1.917262 -129.9478
  1763    3.461946 -0.0469514088 -1.917212 -129.6922
  1764    3.419541 -0.0988689256 -1.917321 -129.8982
  1765    3.454412 -0.0745389951 -1.917372 -129.5718
  1766    3.449373 -0.0756474710 -1.917340 -129.4573
  1767    3.493041 -0.0345115082 -1.917302 -130.4391
  1768    3.339155 -0.1268491355 -1.917192 -131.5178
  1769    3.440689 -0.0362999830 -1.917208 -131.0751
  1770    3.438829 -0.0973922676 -1.917490 -130.5624
  1771    3.454299 -0.0974494803 -1.917695 -131.5642
  1772    3.463613 -0.0943323451 -1.917781 -131.8846
  1773    3.437855 -0.0737004703 -1.917246 -129.1801
  1774    3.440528 -0.0356379508 -1.917212 -131.1597
  1775    3.452518 -0.0406447429 -1.917180 -130.2156
  1776    3.432630 -0.0572990950 -1.917180 -129.5776
  1777    3.431306 -0.0774365131 -1.917235 -129.1712
  1778    3.498652 -0.0672472213 -1.917831 -131.6748
  1779    3.475513 -0.0666908007 -1.917495 -130.0866
  1780    3.425284 -0.0809516935 -1.917227 -129.1867
  1781    3.421390 -0.1047247135 -1.917397 -130.4715
  1782    3.393019 -0.0635408722 -1.917288 -130.8957
  1783    3.441015 -0.0468899421 -1.917181 -130.0416
  1784    3.409413 -0.0672033818 -1.917193 -129.7461
  1785    3.447207 -0.0401193707 -1.917183 -130.4168
  1786    3.390611 -0.0864479764 -1.917185 -129.6244
  1787    3.467884 -0.0608899710 -1.917349 -129.5855
  1788    3.362525 -0.0867993054 -1.917309 -131.0009
  1789    3.401202 -0.0631951255 -1.917242 -130.4277
  1790    3.399849 -0.0847909080 -1.917180 -129.4059
  1791    3.465778 -0.0572128263 -1.917299 -129.5026
  1792    3.370911 -0.0821332880 -1.917289 -130.7697
  1793    3.476626 -0.0419859324 -1.917253 -129.9392
  1794    3.347342 -0.1068710795 -1.917254 -131.0219
  1795    3.438337 -0.0875533284 -1.917366 -129.7188
  1796    3.405641 -0.0684964208 -1.917199 -129.8204
  1797    3.414766 -0.1073187787 -1.917364 -130.4627
  1798    3.414766 -0.1073187787 -1.917364 -130.4627
  1799    3.378076 -0.0931937091 -1.917194 -129.9121
  1800    3.442078 -0.0929112132 -1.917467 -130.2948
  1801    3.415048 -0.0952269966 -1.917261 -129.5665
  1802    3.472612 -0.0392559799 -1.917218 -130.0439
  1803    3.441890 -0.0596979971 -1.917196 -129.3218
  1804    3.416623 -0.0676459866 -1.917181 -129.4799
  1805    3.416623 -0.0676459866 -1.917181 -129.4799
  1806    3.405948 -0.0730936851 -1.917186 -129.5677
  1807    3.473029 -0.0612768807 -1.917400 -129.7649
  1808    3.344459 -0.1079582138 -1.917263 -131.1553
  1809    3.347239 -0.1087149962 -1.917242 -130.9931
  1810    3.443300 -0.0216343443 -1.917283 -132.9349
  1811    3.397028 -0.1344711787 -1.917514 -133.2227
  1812    3.397869 -0.1173563335 -1.917322 -130.8914
  1813    3.453299 -0.0598162150 -1.917241 -129.3152
  1814    3.398672 -0.0773825106 -1.917190 -129.6388
  1815    3.407293 -0.0678075604 -1.917196 -129.7942
  1816    3.419144 -0.0774317558 -1.917192 -129.1779
  1817    3.419144 -0.0774317558 -1.917192 -129.1779
  1818    3.478117 -0.0471410515 -1.917302 -129.8273
  1819    3.363880 -0.1060500010 -1.917192 -130.3082
  1820    3.368506 -0.1136296115 -1.917180 -130.3589
  1821    3.464721 -0.0453160519 -1.917215 -129.7586
  1822    3.468197 -0.0381733180 -1.917199 -130.1275
  1823    3.396724 -0.0805800471 -1.917186 -129.5881
  1824    3.470990 -0.0505618530 -1.917280 -129.6473
  1825    3.424162 -0.0769775789 -1.917204 -129.1503
  1826    3.424162 -0.0769775789 -1.917204 -129.1503
  1827    3.428125 -0.0724393306 -1.917200 -129.1540
  1828    3.428125 -0.0724393306 -1.917200 -129.1540
  1829    3.428125 -0.0724393306 -1.917200 -129.1540
  1830    3.435726 -0.0560044029 -1.917180 -129.5762
  1831    3.366973 -0.1148738592 -1.917180 -130.4307
  1832    3.434693 -0.0826311848 -1.917291 -129.3605
  1833    3.415548 -0.0699665609 -1.917180 -129.4110
  1834    3.424496 -0.0893750985 -1.917276 -129.4453
  1835    3.382673 -0.0987302969 -1.917180 -129.7506
  1836    3.456869 -0.0408166456 -1.917182 -130.1049
  1837    3.359739 -0.1248236620 -1.917185 -131.0376
  1838    3.358567 -0.0801753136 -1.917412 -131.8452
  1839    3.437639 -0.0522935825 -1.917180 -129.7517
  1840    3.414596 -0.0628635050 -1.917193 -129.8148
  1841    3.421055 -0.0903952973 -1.917263 -129.4311
  1842    3.388435 -0.0561659172 -1.917397 -132.0848
  1843    3.489958 -0.0823629034 -1.917993 -132.6391
  1844    3.416345 -0.0987887105 -1.917297 -129.8067
  1845    3.420685 -0.1030160992 -1.917372 -130.2798
  1846    3.370617 -0.1086431984 -1.917180 -130.1638
  1847    3.397466 -0.0840500263 -1.917181 -129.4755
  1848    3.454895 -0.0692026416 -1.917323 -129.4024
  1849    3.438904 -0.0636342999 -1.917201 -129.2357
  1850    3.433718 -0.0940288343 -1.917394 -130.0150
  1851    3.422715 -0.0567745315 -1.917191 -129.9238
  1852    3.401317 -0.0874741315 -1.917182 -129.3610
  1853    3.405948 -0.0854685083 -1.917185 -129.2956
  1854    3.404215 -0.0870429895 -1.917185 -129.3200
  1855    3.436987 -0.0715376559 -1.917229 -129.1573
  1856    3.436987 -0.0715376559 -1.917229 -129.1573
  1857    3.379531 -0.0985429084 -1.917181 -129.8229
  1858    3.353225 -0.1070107078 -1.917223 -130.7268
  1859    3.483141 -0.0391863448 -1.917272 -130.1130
  1860    3.501088 -0.0224768427 -1.917261 -131.1567
  1861    3.362971 -0.1238366308 -1.917189 -130.9555
  1862    3.400254 -0.0806250375 -1.917182 -129.4776
  1863    3.361326 -0.1188328832 -1.917180 -130.6852
  1864    3.378498 -0.0864502708 -1.917219 -130.1023
  1865    3.326943 -0.1121227040 -1.917355 -132.1415
  1866    3.416404 -0.0694599635 -1.917180 -129.4087
  1867    3.451309 -0.0754132793 -1.917354 -129.5068
  1868    3.400623 -0.0881260828 -1.917182 -129.3719
  1869    3.451827 -0.0652226121 -1.917269 -129.2805
  1870    3.452991 -0.0487617991 -1.917192 -129.6686
  1871    3.468199 -0.0798278357 -1.917597 -130.5923
  1872    3.476872 -0.0752364167 -1.917641 -130.7558
  1873    3.431123 -0.1079797213 -1.917548 -131.3507
  1874    3.424786 -0.0829280868 -1.917235 -129.2231
  1875    3.362290 -0.1047980930 -1.917200 -130.3652
  1876    3.478393 -0.0153929867 -1.917181 -132.0761
  1877    3.425878 -0.0638117872 -1.917180 -129.4139
  1878    3.437946 -0.0823363370 -1.917312 -129.4240
  1879    3.403797 -0.1035615803 -1.917253 -129.8671
  1880    3.363975 -0.1122510925 -1.917181 -130.3973
  1881    3.435182 -0.0935497603 -1.917403 -130.0358
  1882    3.443272 -0.0474053968 -1.917180 -129.9383
  1883    3.441280 -0.0870613144 -1.917388 -129.7941
  1884    3.487360 -0.0278756699 -1.917224 -130.7273
  1885    3.432733 -0.0710349910 -1.917209 -129.1499
  1886    3.413315 -0.0751160892 -1.917180 -129.2990
  1887    3.437946 -0.0911576870 -1.917402 -129.9594
  1888    3.458290 -0.0598960014 -1.917270 -129.3692
  1889    3.395320 -0.0739365609 -1.917211 -129.9485
  1890    3.427935 -0.0811633840 -1.917240 -129.2108
  1891    3.451799 -0.0591233052 -1.917230 -129.3164
  1892    3.400635 -0.0924849134 -1.917190 -129.4103
  1893    3.450557 -0.0579457632 -1.917218 -129.3370
  1894    3.419153 -0.0832702831 -1.917213 -129.2028
  1895    3.419153 -0.0832702831 -1.917213 -129.2028
  1896    3.428014 -0.0564572130 -1.917183 -129.7593
  1897    3.412322 -0.0907610397 -1.917221 -129.3524
  1898    3.447635 -0.0594692574 -1.917214 -129.3023
  1899    3.412557 -0.1070150100 -1.917342 -130.3546
  1900    3.376235 -0.1234232947 -1.917232 -130.9885
  1901    3.367986 -0.1293969870 -1.917226 -131.4409
  1902    3.413151 -0.0661962719 -1.917187 -129.6652
  1903    3.440302 -0.0684962132 -1.917228 -129.1736
  1904    3.391824 -0.0921556052 -1.917180 -129.5310
  1905    3.464760 -0.0472810306 -1.917225 -129.6782
  1906    3.386508 -0.0935326763 -1.917180 -129.6488
  1907    3.438156 -0.1148140039 -1.917762 -132.8898
  1908    3.405757 -0.0997907066 -1.917240 -129.6745
  1909    3.383453 -0.1166820877 -1.917228 -130.5147
  1910    3.451771 -0.0442564510 -1.917181 -129.9613
  1911    3.496215 -0.0454053837 -1.917445 -130.3920
  1912    3.492752 -0.0474089994 -1.917434 -130.2688
  1913    3.497930 -0.0516194530 -1.917550 -130.6120
  1914    3.481215 -0.0589495212 -1.917456 -130.0286
  1915    3.453426 -0.0577083446 -1.917230 -129.3488
  1916    3.341633 -0.1280470547 -1.917185 -131.4998
  1917    3.516441 -0.0229742856 -1.917382 -131.4550
  1918    3.478674 -0.0636904066 -1.917490 -130.0968
  1919    3.372643 -0.0891076949 -1.917231 -130.2758
  1920    3.374586 -0.0878959081 -1.917229 -130.2305
  1921    3.452257 -0.0675328185 -1.917289 -129.3103
  1922    3.517749 -0.0114432445 -1.917284 -132.1339
  1923    3.439744 -0.0637921984 -1.917204 -129.2282
  1924    3.420198 -0.0849559837 -1.917225 -129.2382
  1925    3.414233 -0.0779867868 -1.917184 -129.2295
  1926    3.338935 -0.1132885424 -1.917258 -131.3626
  1927    3.513193 -0.0387184376 -1.917550 -131.1311
  1928    3.492039 -0.0315685035 -1.917271 -130.5449
  1929    3.360219 -0.1293000949 -1.917198 -131.3720
  1930    3.486073 -0.0292956382 -1.917225 -130.6319
  1931    3.539182 -0.0040548319 -1.917386 -133.1576
  1932    3.387412 -0.0906872835 -1.917183 -129.6473
  1933    3.385780 -0.0943062130 -1.917180 -129.6646
  1934    3.432831 -0.0631574406 -1.917186 -129.3102
  1935    3.438121 -0.0795568672 -1.917290 -129.3193
  1936    3.411831 -0.0745412788 -1.917180 -129.3469
  1937    3.449547 -0.0883930745 -1.917491 -130.2712
  1938    3.489149 -0.0518728677 -1.917451 -130.1872
  1939    3.318032 -0.1647118093 -1.917197 -135.1753
  1940    3.395857 -0.0920553790 -1.917182 -129.4597
  1941    3.398171 -0.0826318480 -1.917181 -129.4863
  1942    3.405360 -0.0805954965 -1.917180 -129.3497
  1943    3.481783 -0.0533530662 -1.917394 -129.9221
  1944    3.459633 -0.0755101172 -1.917435 -129.8236
  1945    3.421471 -0.1008470497 -1.917356 -130.1172
  1946    3.451908 -0.0665656088 -1.917279 -129.2921
  1947    3.425718 -0.1123063668 -1.917544 -131.5932
  1948    3.451148 -0.0292796927 -1.917201 -131.4157
  1949    3.364420 -0.0922958746 -1.917254 -130.5736
  1950    3.472173 -0.0767245883 -1.917601 -130.5762
  1951    3.398274 -0.0604805085 -1.917277 -130.8576
  1952    3.480707 -0.0781891238 -1.917750 -131.3159
  1953    3.525514 -0.0433303865 -1.917808 -132.1089
  1954    3.562511 -0.0163892909 -1.917895 -134.2289
  1955    3.507124 -0.0431921517 -1.917541 -130.8801
  1956    3.524061 -0.0184485842 -1.917404 -131.8859
  1957    3.538368 -0.0176390052 -1.917554 -132.5445
  1958    3.464027 -0.0730689616 -1.917450 -129.8813
  1959    3.405181 -0.0737200025 -1.917186 -129.5662
  1960    3.411202 -0.0932365474 -1.917228 -129.4303
  1961    3.481525 -0.0412997473 -1.917278 -130.0207
  1962    3.402656 -0.1144416394 -1.917333 -130.7453
  1963    3.367497 -0.1416880175 -1.917310 -132.9255
  1964    3.427797 -0.0493922696 -1.917200 -130.3217
  1965    3.446865 -0.0806991740 -1.917370 -129.6116
  1966    3.419920 -0.0779204734 -1.917195 -129.1695
  1967    3.449080 -0.0677562348 -1.917270 -129.2581
  1968    3.449080 -0.0677562348 -1.917270 -129.2581
  1969    3.422983 -0.0636500386 -1.917180 -129.4930
  1970    3.422983 -0.0636500386 -1.917180 -129.4930
  1971    3.538742 -0.0272441633 -1.917716 -132.5524
  1972    3.390484 -0.0974584869 -1.917183 -129.6010
  1973    3.476746 -0.0581574829 -1.917400 -129.8251
  1974    3.388109 -0.0842853232 -1.917196 -129.7728
  1975    3.497087 -0.0396462552 -1.917386 -130.4280
  1976    3.412700 -0.0903492655 -1.917220 -129.3418
  1977    3.426904 -0.1031011703 -1.917433 -130.5527
  1978    3.458945 -0.0668673373 -1.917333 -129.4533
  1979    3.413346 -0.0707467360 -1.917181 -129.4394
  1980    3.505687 -0.0442932177 -1.917539 -130.8261
  1981    3.421805 -0.0573660319 -1.917191 -129.9156
  1982    3.395989 -0.1011389296 -1.917205 -129.6754
  1983    3.437835 -0.0879402265 -1.917366 -129.7263
  1984    3.423085 -0.0877253520 -1.917256 -129.3516
  1985    3.440232 -0.0669462938 -1.917220 -129.1820
  1986    3.467830 -0.0512601393 -1.917266 -129.5904
  1987    3.385980 -0.0934148483 -1.917181 -129.6626
  1988    3.372221 -0.0996164742 -1.917190 -130.0371
  1989    3.415922 -0.0832029284 -1.917201 -129.2051
  1990    3.453251 -0.0587224313 -1.917234 -129.3301
  1991    3.415593 -0.0950023406 -1.917263 -129.5638
  1992    3.451914 -0.0494355778 -1.917191 -129.6464
  1993    3.398331 -0.0930767593 -1.917187 -129.4401
  1994    3.451482 -0.0662089651 -1.917274 -129.2818
  1995    3.451482 -0.0662089651 -1.917274 -129.2818
  1996    3.403007 -0.0836025359 -1.917180 -129.3540
  1997    3.390909 -0.1269932460 -1.917359 -131.7773
  1998    3.421694 -0.0761827207 -1.917194 -129.1653
  1999    3.446491 -0.0679567701 -1.917256 -129.2243
  2000    3.445709 -0.0554256772 -1.917193 -129.4405
  2001    3.419635 -0.0899485530 -1.917251 -129.3910
  2002    3.442998 -0.0710347663 -1.917257 -129.2076
  2003    3.393957 -0.0968770501 -1.917187 -129.5513
  2004    3.424404 -0.0780949110 -1.917209 -129.1530
  2005    3.434127 -0.0826065671 -1.917287 -129.3477
  2006    3.412526 -0.0826556697 -1.917191 -129.2226
  2007    3.458006 -0.0635534809 -1.917297 -129.3762
  2008    3.405747 -0.1002330433 -1.917242 -129.6982
  2009    3.332711 -0.1334443378 -1.917189 -131.9930
  2010    3.377872 -0.0878285743 -1.917215 -130.0756
  2011    3.459333 -0.0774455087 -1.917456 -129.9265
  2012    3.485447 -0.0374233905 -1.917274 -130.2085
  2013    3.447710 -0.0723396692 -1.917297 -129.3105
  2014    3.449681 -0.0703875993 -1.917295 -129.3084
  2015    3.468571 -0.0573052113 -1.917320 -129.5645
  2016    3.394314 -0.0827648536 -1.917186 -129.6000
  2017    3.457751 -0.0625234315 -1.917286 -129.3634
  2018    3.423864 -0.0988817651 -1.917357 -130.0380
  2019    3.454487 -0.0554892211 -1.917223 -129.4015
  2020    3.455745 -0.0564653577 -1.917234 -129.3837
  2021    3.428792 -0.0746256908 -1.917210 -129.1420
  2022    3.417363 -0.0894309695 -1.917236 -129.3455
  2023    3.486116 -0.0366010514 -1.917272 -130.2492
  2024    3.440786 -0.0834385210 -1.917345 -129.5578
  2025    3.441307 -0.0528718573 -1.917181 -129.6314
  2026    3.408395 -0.0855702146 -1.917189 -129.2689
  2027    3.434753 -0.0653095469 -1.917195 -129.2258
  2028    3.396297 -0.0649005299 -1.917257 -130.5624
  2029    3.432433 -0.0659928730 -1.917191 -129.2308
  2030    3.428819 -0.0694857644 -1.917192 -129.1899
  2031    3.380906 -0.0892131822 -1.917199 -129.8993
  2032    3.452933 -0.0727242423 -1.917341 -129.4535
  2033    3.445129 -0.0736375109 -1.917290 -129.2886
  2034    3.455140 -0.0392829938 -1.917180 -130.2608
  2035    3.494209 -0.0402637084 -1.917366 -130.3291
  2036    3.375445 -0.0981886932 -1.917187 -129.9403
  2037    3.414754 -0.0732212893 -1.917180 -129.3192
  2038    3.447325 -0.0814736191 -1.917383 -129.6711
  2039    3.443231 -0.0520611710 -1.917182 -129.6394
  2040    3.439268 -0.0463143952 -1.917183 -130.1440
  2041    3.479720 -0.0497306643 -1.917338 -129.8401
  2042    3.466475 -0.0691892153 -1.917428 -129.7928
  2043    3.415815 -0.0688291873 -1.917180 -129.4504
  2044    3.405617 -0.0973549586 -1.917225 -129.5558
  2045    3.460397 -0.0633029212 -1.917312 -129.4252
  2046    3.454492 -0.0615388448 -1.917259 -129.3134
  2047    3.437193 -0.0759562163 -1.917257 -129.2076
  2048    3.436390 -0.0539103023 -1.917180 -129.6819
  2049    3.400637 -0.0917598140 -1.917188 -129.3990
  2050    3.408773 -0.0560579491 -1.917246 -130.6571
  2051    3.430035 -0.0701409031 -1.917197 -129.1696
  2052    3.421195 -0.0791733817 -1.917203 -129.1633
  2053    3.424713 -0.0804267768 -1.917221 -129.1758
  2054    3.420430 -0.0951356204 -1.917295 -129.6695
  2055    3.396429 -0.0930772787 -1.917184 -129.4614
  2056    3.444299 -0.0633695886 -1.917219 -129.2291
  2057    3.411790 -0.0902085599 -1.917216 -129.3341
  2058    3.451827 -0.0690642056 -1.917299 -129.3272
  2059    3.451827 -0.0690642056 -1.917299 -129.3272
  2060    3.451827 -0.0690642056 -1.917299 -129.3272
  2061    3.434569 -0.0684491752 -1.917205 -129.1702
  2062    3.434858 -0.0821412837 -1.917288 -129.3450
  2063    3.431633 -0.0663178363 -1.917190 -129.2311
  2064    3.404539 -0.0971938464 -1.917220 -129.5420
  2065    3.494224 -0.0320854790 -1.917290 -130.5540
  2066    3.451450 -0.0524075051 -1.917199 -129.5132
  2067    3.412391 -0.1107719027 -1.917380 -130.7222
  2068    3.463152 -0.0889525740 -1.917677 -131.1749
  2069    3.327581 -0.1001822958 -1.917491 -132.7801
  2070    3.476648 -0.0965478388 -1.918058 -133.4535
  2071    3.395586 -0.0942798772 -1.917185 -129.4874
  2072    3.457512 -0.0585632801 -1.917256 -129.3675
  2073    3.418095 -0.0820628362 -1.917204 -129.1890
  2074    3.480278 -0.0758188342 -1.917701 -131.0472
  2075    3.483258 -0.0589680809 -1.917479 -130.1230
  2076    3.475440 -0.0619431953 -1.917432 -129.8802
  2077    3.477557 -0.0648453632 -1.917493 -130.0961
  2078    3.497842 -0.0334840300 -1.917329 -130.5766
  2079    3.451581 -0.0318361581 -1.917192 -131.0978
  2080    3.458579 -0.0874837168 -1.917589 -130.7070
  2081    3.377004 -0.0772505825 -1.917287 -130.7370
  2082    3.433032 -0.0820058197 -1.917275 -129.3048
  2083    3.453312 -0.0536324003 -1.917209 -129.4573
  2084    3.484326 -0.0531515643 -1.917417 -130.0135
  2085    3.386779 -0.0917622729 -1.917182 -129.6533
  2086    3.410037 -0.0704936200 -1.917184 -129.5502
  2087    3.344539 -0.1327819195 -1.917180 -131.7185
  2088    3.404600 -0.0684558560 -1.917202 -129.8670
  2089    3.378712 -0.1105221761 -1.917189 -130.1241
  2090    3.444127 -0.0477422442 -1.917180 -129.8923
  2091    3.389158 -0.1004846641 -1.917186 -129.6824
  2092    3.438059 -0.0709331464 -1.917231 -129.1617
  2093    3.424743 -0.0730194872 -1.917193 -129.1711
  2094    3.435034 -0.0622528811 -1.917188 -129.3108
  2095    3.406191 -0.1105618805 -1.917325 -130.4772
  2096    3.406191 -0.1105618805 -1.917325 -130.4772
  2097    3.405520 -0.1007359703 -1.917244 -129.7230
  2098    3.405520 -0.1007359703 -1.917244 -129.7230
  2099    3.448719 -0.0336157344 -1.917194 -131.0174
  2100    3.380179 -0.1064727635 -1.917183 -129.9525
  2101    3.485302 -0.0373158031 -1.917272 -130.2107
  2102    3.384233 -0.0760012985 -1.917251 -130.3890
  2103    3.508448 -0.0120010813 -1.917234 -132.0053
  2104    3.345178 -0.1399329330 -1.917192 -132.3114
  2105    3.361512 -0.0989924032 -1.917229 -130.4864
  2106    3.413885 -0.0786887201 -1.917185 -129.2261
  2107    3.489332 -0.0268825441 -1.917227 -130.7968
  2108    3.365904 -0.1200257172 -1.917186 -130.6993
  2109    3.408619 -0.0994010304 -1.917252 -129.6917
  2110    3.393266 -0.0971911183 -1.917187 -129.5645
  2111    3.421191 -0.0748420135 -1.917190 -129.1823
  2112    3.445639 -0.0518217058 -1.917185 -129.6100
  2113    3.417662 -0.0962025775 -1.917285 -129.6714
  2114    3.430784 -0.0525470735 -1.917185 -129.9426
  2115    3.445265 -0.0631748814 -1.917222 -129.2335
  2116    3.451982 -0.0781004644 -1.917389 -129.6573
  2117    3.451982 -0.0781004644 -1.917389 -129.6573
  2118    3.438429 -0.0428753907 -1.917192 -130.4825
  2119    3.473972 -0.0304035852 -1.917190 -130.6268
  2120    3.531745 -0.0308790222 -1.917676 -132.1320
  2121    3.524176 -0.0276482126 -1.917524 -131.6709
  2122    3.487949 -0.0404183651 -1.917316 -130.1622
  2123    3.342745 -0.1218391491 -1.917198 -131.2463
  2124    3.537875 -0.0038992687 -1.917372 -133.1273
  2125    3.327420 -0.1370238052 -1.917192 -132.3276
  2126    3.514169 -0.0435430890 -1.917639 -131.3029
  2127    3.444325 -0.0771630835 -1.917314 -129.3771
  2128    3.464871 -0.0372013789 -1.917188 -130.2322
  2129    3.402844 -0.0734153101 -1.917191 -129.6628
  2130    3.476432 -0.0369954696 -1.917223 -130.1643
  2131    3.490213 -0.0232587722 -1.917213 -131.0635
  2132    3.485031 -0.0298116345 -1.917223 -130.5975
  2133    3.390247 -0.0835400394 -1.917192 -129.7174
  2134    3.455193 -0.0710239722 -1.917343 -129.4628
  2135    3.490044 -0.0369979582 -1.917301 -130.2985
  2136    3.381248 -0.1071254185 -1.917186 -129.9650
  2137    3.495125 -0.0349063977 -1.917321 -130.4696
  2138    3.487369 -0.0368870895 -1.917282 -130.2562
  2139    3.378916 -0.1280985485 -1.917278 -131.5159
  2140    3.384500 -0.1175628634 -1.917238 -130.5985
  2141    3.355308 -0.1447670129 -1.917254 -132.9998
  2142    3.492469 -0.0040764421 -1.917180 -133.1381
  2143    3.459138 -0.0277073785 -1.917187 -131.2694
  2144    3.422945 -0.1097848972 -1.917476 -131.1064
  2145    3.464408 -0.0265454906 -1.917181 -131.2152
  2146    3.482040 -0.0560580514 -1.917428 -129.9819
  2147    3.466716 -0.0579429330 -1.917312 -129.5241
  2148    3.402813 -0.0957426428 -1.917207 -129.4830
  2149    3.447373 -0.0505506246 -1.917185 -129.6506
  2150    3.379275 -0.1119032938 -1.917194 -130.1888
  2151    3.454198 -0.0692341735 -1.917318 -129.3856
  2152    3.422603 -0.0616239106 -1.917182 -129.6113
  2153    3.450496 -0.0797118080 -1.917393 -129.6894
  2154    3.438624 -0.0517120941 -1.917180 -129.7638
  2155    3.425049 -0.0789786563 -1.917216 -129.1598
  2156    3.422032 -0.0719283883 -1.917185 -129.2208
  2157    3.434141 -0.0634459963 -1.917188 -129.2832
  2158    3.382160 -0.0858496864 -1.917208 -129.9600
  2159    3.370973 -0.1087358464 -1.917180 -130.1590
  2160    3.360067 -0.1075667592 -1.917197 -130.4447
  2161    3.499459 -0.0433769688 -1.917454 -130.5131
  2162    3.416971 -0.0886722429 -1.917230 -129.3172
  2163    3.439147 -0.0669385831 -1.917215 -129.1808
  2164    3.395498 -0.0767656259 -1.917200 -129.7891
  2165    3.451726 -0.0655784123 -1.917271 -129.2810
  2166    3.361798 -0.0979990957 -1.917233 -130.4998
  2167    3.358127 -0.0923746704 -1.917294 -130.9471
  2168    3.358127 -0.0923746704 -1.917294 -130.9471
  2169    3.384385 -0.0846510790 -1.917205 -129.9105
  2170    3.453209 -0.0746458341 -1.917363 -129.5359
  2171    3.414991 -0.0702817553 -1.917180 -129.4133
  2172    3.451007 -0.0762614074 -1.917360 -129.5336
  2173    3.412492 -0.0692219313 -1.917183 -129.5310
  2174    3.474982 -0.0517807557 -1.917319 -129.7142
  2175    3.416619 -0.0811317598 -1.917196 -129.1897
  2176    3.479700 -0.0482790415 -1.917324 -129.8484
  2177    3.401251 -0.0876253190 -1.917182 -129.3620
  2178    3.421548 -0.0614161332 -1.917183 -129.6566
  2179    3.429204 -0.0885808713 -1.917302 -129.5082
  2180    3.539947 -0.0291992216 -1.917771 -132.6811
  2181    3.408638 -0.0737054119 -1.917181 -129.4585
  2182    3.437580 -0.0806858501 -1.917295 -129.3481
  2183    3.402022 -0.0791696628 -1.917182 -129.4677
  2184    3.464641 -0.0568080684 -1.917287 -129.4818
  2185    3.384950 -0.0915460044 -1.917185 -129.7087
  2186    3.447059 -0.0775819037 -1.917340 -129.4681
  2187    3.367131 -0.0779586512 -1.917356 -131.3712
  2188    3.409509 -0.0918796160 -1.917215 -129.3750
  2189    3.395492 -0.0869600317 -1.917180 -129.4798
  2190    3.449465 -0.0734585814 -1.917320 -129.3827
  2191    3.387732 -0.0841895543 -1.917197 -129.7907
  2192    3.368808 -0.1039560783 -1.917187 -130.1426
  2193    3.445891 -0.0656879700 -1.917239 -129.2154
  2194    3.392099 -0.0914424154 -1.917180 -129.5257
  2195    3.424569 -0.0711475400 -1.917188 -129.2034
  2196    3.467895 -0.0498650087 -1.917256 -129.6197
  2197    3.502456 -0.0420976508 -1.917470 -130.6353
  2198    3.365787 -0.0946510324 -1.917233 -130.4071
  2199    3.431664 -0.0838563107 -1.917281 -129.3469
  2200    3.418932 -0.0730609817 -1.917183 -129.2436
  2201    3.412195 -0.0502216245 -1.917266 -131.0687
  2202    3.473540 -0.0696436979 -1.917512 -130.1494
  2203    3.414606 -0.0890201383 -1.917222 -129.3125
  2204    3.468730 -0.0830396427 -1.917657 -130.9326
  2205    3.379990 -0.0879984972 -1.917207 -129.9754
  2206    3.386153 -0.1016640313 -1.917184 -129.7444
  2207    3.418830 -0.0567118110 -1.917201 -130.0882
  2208    3.436131 -0.0687270745 -1.917212 -129.1641
  2209    3.430648 -0.0805149860 -1.917251 -129.2250
  2210    3.421608 -0.0961432418 -1.917312 -129.7641
  2211    3.407209 -0.0749527490 -1.917181 -129.4545
  2212    3.426559 -0.0926154008 -1.917318 -129.6709
  2213    3.416312 -0.0615455237 -1.917192 -129.8355
  2214    3.469423 -0.0655465685 -1.917414 -129.7635
  2215    3.472057 -0.0354596102 -1.917200 -130.2730
  2216    3.364876 -0.1229630138 -1.917191 -130.8901
  2217    3.396185 -0.1107496528 -1.917258 -130.2443
  2218    3.422408 -0.0578088268 -1.917189 -129.8609
  2219    3.448197 -0.0848451624 -1.917430 -129.9238
  2220    3.429997 -0.0585553626 -1.917180 -129.5744
  2221    3.427545 -0.0620574885 -1.917180 -129.4552
  2222    3.369689 -0.0993541209 -1.917197 -130.1288
  2223    3.358357 -0.1112867829 -1.917190 -130.5312
  2224    3.506528 -0.0405781368 -1.917496 -130.8118
  2225    3.449039 -0.0741669110 -1.917323 -129.3944
  2226    3.424033 -0.0772302304 -1.917205 -129.1508
  2227    3.434011 -0.0949013775 -1.917407 -130.0992
  2228    3.426199 -0.0750421698 -1.917203 -129.1464
  2229    3.446713 -0.0693477883 -1.917267 -129.2394
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  3924    3.465946 -0.0670244196 -1.917397 -129.6839
  3925    3.465946 -0.0670244196 -1.917397 -129.6839
  3926    3.413122 -0.0699332837 -1.917181 -129.4797
  3927    3.430625 -0.0879054878 -1.917307 -129.5079
  3928    3.373148 -0.0946321817 -1.917204 -130.0729
  3929    3.447862 -0.0609362904 -1.917222 -129.2732
  3930    3.381358 -0.1129691929 -1.917203 -130.2472
  3931    3.429584 -0.0616058027 -1.917180 -129.4304
  3932    3.477512 -0.0589767429 -1.917417 -129.8743
  3933    3.471604 -0.0656548723 -1.917438 -129.8574
  3934    3.475622 -0.0205462165 -1.917180 -131.5465
  3935    3.463924 -0.0166226842 -1.917208 -132.4934
  3936    3.456282 -0.0273386324 -1.917193 -131.4260
  3937    3.448346 -0.0216814445 -1.917252 -132.6028
  3938    3.413161 -0.0713649641 -1.917180 -129.4203
  3939    3.377806 -0.0923257148 -1.917198 -129.9404
  3940    3.464483 -0.0414519182 -1.917199 -129.9584
  3941    3.430481 -0.0653769616 -1.917186 -129.2715
  3942    3.449670 -0.0649020751 -1.917254 -129.2517
  3943    3.356193 -0.1208700453 -1.917180 -130.8618
  3944    3.454222 -0.0430747767 -1.917182 -129.9948
  3945    3.386560 -0.1109083030 -1.917213 -130.1421
  3946    3.395485 -0.0920067723 -1.917182 -129.4650
  3947    3.449862 -0.0660172644 -1.917263 -129.2568
  3948    3.426040 -0.0857209425 -1.917259 -129.3205
  3949    3.432654 -0.0485302730 -1.917190 -130.1971
  3950    3.351127 -0.0844718412 -1.917436 -132.0634
  3951    3.458975 -0.0606822390 -1.917280 -129.3789
  3952    3.391996 -0.0906016465 -1.917180 -129.5307
  3953    3.396283 -0.0915893108 -1.917182 -129.4502
  3954    3.431163 -0.0653146260 -1.917187 -129.2642
  3955    3.389834 -0.0980464784 -1.917183 -129.6200
  3956    3.389834 -0.0980464784 -1.917183 -129.6200
  3957    3.433325 -0.0523978527 -1.917182 -129.8692
  3958    3.404094 -0.0915996242 -1.917196 -129.3725
  3959    3.474221 -0.0558806504 -1.917353 -129.7053
  3960    3.450466 -0.0539702878 -1.917201 -129.4582
  3961    3.464116 -0.0697328676 -1.917411 -129.7210
  3962    3.408035 -0.0799057157 -1.917180 -129.3065
  3963    3.412643 -0.0876221388 -1.917208 -129.2741
  3964    3.396375 -0.0860670125 -1.917180 -129.4699
  3965    3.418537 -0.0866357903 -1.917226 -129.2697
  3966    3.452224 -0.0587406388 -1.917230 -129.3248
  3967    3.385035 -0.0943043258 -1.917181 -129.6833
  3968    3.408190 -0.0916961757 -1.917209 -129.3671
  3969    3.439894 -0.0574685032 -1.917186 -129.4274
  3970    3.406499 -0.0596709929 -1.917236 -130.4445
  3971    3.452428 -0.0774847490 -1.917386 -129.6417
  3972    3.380427 -0.0853600929 -1.917217 -130.0582
  3973    3.421712 -0.0809849824 -1.917212 -129.1758
  3974    3.455268 -0.0714773248 -1.917348 -129.4801
  3975    3.453063 -0.0573078978 -1.917226 -129.3556
  3976    3.435876 -0.0815956352 -1.917291 -129.3456
  3977    3.424823 -0.0565583933 -1.917187 -129.8609
  3978    3.451089 -0.0447987592 -1.917181 -129.9378
  3979    3.436574 -0.0698540605 -1.917219 -129.1570
  3980    3.464998 -0.0633819207 -1.917350 -129.5479
  3981    3.410395 -0.0742911213 -1.917180 -129.3899
  3982    3.424750 -0.0969933294 -1.917345 -129.9194
  3983    3.349809 -0.1036369929 -1.917261 -130.9691
  3984    3.416747 -0.0990552263 -1.917302 -129.8351
  3985    3.416747 -0.0990552263 -1.917302 -129.8351
  3986    3.416747 -0.0990552263 -1.917302 -129.8351
  3987    3.459369 -0.0624332317 -1.917297 -129.3939
  3988    3.353644 -0.1199643183 -1.917182 -130.8769
  3989    3.476869 -0.0484011141 -1.917303 -129.7843
  3990    3.377119 -0.1042994394 -1.917180 -129.9411
  3991    3.418594 -0.0628815883 -1.917185 -129.6677
  3992    3.454218 -0.0738278774 -1.917363 -129.5351
  3993    3.379493 -0.0873310059 -1.917211 -130.0212
  3994    3.430803 -0.0679310376 -1.917193 -129.2023
  3995    3.370670 -0.1020734602 -1.917188 -130.0807
  3996    3.501450 -0.0461460017 -1.917514 -130.6453
  3997    3.449889 -0.0465654211 -1.917182 -129.8440
  3998    3.434052 -0.0502809945 -1.917184 -130.0030
  3999    3.432835 -0.0567500167 -1.917180 -129.6034
  4000    3.435401 -0.0622664719 -1.917188 -129.3056
attr(,"nchains")
[1] 4
# A tibble: 160,000 x 9
# Groups:   tide, log_average, count_average, obs_limpets, .row [40]
    tide log_average count_average obs_limpets  .row .chain .iteration
   <dbl>       <dbl>         <dbl>       <int> <int>  <int>      <int>
 1 -2.91        3.71          40.8          33     1     NA         NA
 2 -2.91        3.71          40.8          33     1     NA         NA
 3 -2.91        3.71          40.8          33     1     NA         NA
 4 -2.91        3.71          40.8          33     1     NA         NA
 5 -2.91        3.71          40.8          33     1     NA         NA
 6 -2.91        3.71          40.8          33     1     NA         NA
 7 -2.91        3.71          40.8          33     1     NA         NA
 8 -2.91        3.71          40.8          33     1     NA         NA
 9 -2.91        3.71          40.8          33     1     NA         NA
10 -2.91        3.71          40.8          33     1     NA         NA
# ... with 159,990 more rows, and 2 more variables: .draw <int>,
#   .prediction <int>
# A tibble: 40 x 5
     tide log_average count_average obs_limpets .prediction
    <dbl>       <dbl>         <dbl>       <int>      <rvar>
 1 -2.91         3.71          40.8          33    38 ± 6.5
 2 -2.38         3.65          38.6          40    37 ± 6.4
 3 -1.11         3.52          33.7          35    33 ± 5.8
 4 -1.52         3.56          35.2          30    35 ± 5.9
 5 -1.67         3.58          35.8          38    35 ± 6.1
 6 -0.782        3.48          32.6          29    33 ± 5.8
 7 -0.637        3.47          32.1          37    32 ± 5.7
 8 -1.97         3.61          36.9          33    36 ± 6.2
 9 -0.415        3.44          31.3          28    32 ± 5.7
10  0.340        3.37          28.9          19    30 ± 5.6
# ... with 30 more rows