Finding a model

Measurements in two columns (x,y):

Prepare a python script, which load measurements. Try to find the model, which describes the dependence between x and y with a minimal set of parameters.

Try first with linear regression.

Then try different mathematical models and use scipy.optimize.curve_fit function.

Run the program and check if it works.

Submit the resulting python script and pictures of the graph of measurements (use symbols) and model (use curves). Report the values of parameters and their errors.

1.9994026313426514 0.22084777003924433 2.3923277413772563 0.05974438833742985 3.3782985347758987 0.09586824640069871 4.288434217817152 0.31644888654622105 3.7762994087507082 0.3397284151174721 5.637537875796101 0.6458365604333939 SOGEZACZOZONE 6.609507346707895 0.36447804339157 3644780A 230167 ZA127401502030 COLOCA- 7.641427401532939 0.693906249750492 40404 000049 8.519824018897943 0.6670007339605 woord CAMBO 9.941954912366356 0.48781182406244383 2010 90247 9.677141770792247 0.6206253289344827 1026 02041011 11.999197368748531 0.8316249739216012 * * * 14.463107363004816 0.6340368263800553 100 12.832101379128494 0.7466776299878759 12.00-140141 13.639063209240526 0.6655960101107807 15.032002-02-2016 002 15.038358443503103 0.6992914291141503 ***** 15.764561820146088 0.6657599032836308 10 core 18.82900336135164 0.5845406472869716 10:04 2014 19.777376081388777 0.7840302373357366 18.995826720773586 0.633579489720824 2011 21.567934962749096 0.7448770701324401 24.17107571411403 0.35176292425686834 22.986223811117235 0.48063552583311653 23.4089215029184 0.5137356076209786 26.50786348097033 0.154095579343918 12010 26.112459002529047 0.43954302039250903 20.112240204 512XXocco 26.992418739046233 0.2774342464967693 20:23410170404143444042070 28.436725681848216 0.27615470253738633 2013 28.623658451684907 0.09261292075069 1024 corretto recor 30.349608650731184 -0.15371566236633086 .: VD-101 300-300 29.987766632495322 0.06519753135375524 100 dan 29.963858645558897 0.061174646089002374 2000 to 33.020506671435385 -0.14169868515295966 S. W102000313233200 33.36688796080034 000/US4 US-12OUS115021OST -0.3212805113621837 34.32041281272065 34.3204120121200 -0.11382478858179398 37.315767246875204 -0.42256346037601883 36.195847065211694 -0.21079144618140794 38.61175996424642 -0.20557561413725495 41.23526060588138 -0.32664043621164673 40.679584007157985 n 1521715747837823 41.41382942027407 A141287027027107 . 20762545567390814 170411BACOCCA 44.17041143463551 432962552928966 A3 2072077 43.88749772870937 -0.5868387938559823 5969207020560972 43 167457651514276 2009 43.098646239309204 -0.3363967374408377 46.2622507896608 41021763429 -0.44184176257634333 012212 45.84885242076878 -0.417215081823271 48.552332900541835 -0.31753326908670965 49.03231463352088 -0.2776624598471248 52.57783883098123 -0.18526091790437083 52.94200352389225 -0.03882254163204779 042013- - 51.71137902549721 -0.30622583574125956 52.406011663217576 -0.21966124882978239 52.023605856296555 -0.17241891535455206 53.73389636709627 -0.34805878551820235 56.687459647042495 -0.2480907257041381 56.86571940927967 -0.21035534463611769 FC A5161270 55.946216177758 -0.07127596972203823 FG 75724COOC207 204704762COOL 59.75733158963875 -0.22024301757590947 44000 4407 111610CCOLE 60.01180973421057 -0.11115196204268533 Trace WOOCOX023430 60.388069219741695 -0.023885840040131792 C-107 60.874572768129546 0.108905754168225 ***** Vardo DOLL 63.42258308144638 -0.1157383895168862 9:44-2020-030 100004 63.190158545805346 0.029655345096346653 65.77852052749903 0.07904910047286444 0402412220 V100 66.22274426551266 0.07511232008421613 4:46445500 WS 67.99170726723985 0.2710436847722348 2014- 11 69.11937064593825 0.24121172760255527 merer --- 69.06717135154585 0.016573979528777052 CIMATION 71.24950744535178 0.2248360298438942 --- --- 70.13174090525406 0.06786892869642111 72.22460462963484 0.3040591182124634 73.28304882558729 0.31652984009909696 71.50264626887684 0.30656885658272515 75.07948445103233 0.18370963524666795 76.9575399211764 0.032361584188426024 Senec -1 77.34419447701939 0.036696775872251675 2006- 77.62193985572408 0.3375927832874336 *****014 102407 79.34263423724683 0.15916983481126035 102123124003 10200 81.72898062031415 0.2648606412269218 202014 79.28707732766665 0.17781510881927637 427017110610 --- 91-400-100 83.6353107390435 0.2037256392074862 82.06857356631477 0.10609257516227014 0.0001 83.20472029093449 0.0844815656732376 0.004401503073257 85.9998926900646 --- 0.31222317475237366 20-2020 86.67196352191415 0.2125207238338814. 85.37009555750772 0.23123254126525844 0.23123254120320044 86.78210998849983 0,07352904064342047 0.07352904064342047 90.43764087094566 -0.08666728864169577 90.7482420674281 0.06143432640260728 90 93371541931954 90.93371541931954 0.10703975720309643 9746097715725077 92.46087715225022 0.0865800994531277 92.84311613862103 92.84311613862103 -0.11164143308980577 LA 11164142208990577 2017006580153A36 10918962062 0.10813269239636372 95.1352549241488 -0.1268722029092091 1269773020002001 17076 71091 96.974251307876 0.03511757250674831 98.20507390441915 -0.05863962050130503 97.71439583216164 -0.1880940870664864 99.44127214317078 -0.012271639573986137 100.09317149272015 -0.25660679660415137