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graebnerc/#T14T15: Exercise solutions

Created December 8, 2022 15:41
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#T14T15: Exercise solutions
Raw
#T14T15: Exercise solutions
Solutions to the extra exercises on multiple linear regression
Raw
coffee_data.csv
CoffeePrice CoffeeDemand CoffeeSeller
2.07515504024923 16.5707491872823 Standard
3.07661027088761 12.7827720051397 Standard
2.3179538436234 19.0997085812796 Standard
3.26603480800986 15.7040181811831 Standard
3.38093456858769 10.8388632195795 Standard
1.59111299877986 19.0363661019618 Standard
2.55621097609401 14.539471426205 Standard
3.28483808878809 10.0039835925518 Standard
2.60287002893165 16.4916301755813 Standard
2.41322947060689 16.6018881696621 Standard
3.41366669069976 13.5642613928746 Standard
2.40666831238195 17.2123001464566 Standard
2.85514127090573 17.199506516076 Standard
2.64526680391282 16.4753945972283 Standard
1.70584936533123 17.6495802182592 Standard
3.29964994080365 12.6314516737465 Standard
1.99217546870932 17.7598680077897 Standard
1.58411906706169 19.8676767719728 Standard
2.1558414385654 15.4531149788997 Standard
3.40900729829446 13.4043603674319 Standard
3.27907863212749 16.0972986239533 Standard
2.8856068123132 15.1266193805914 Standard
2.7810136275366 14.2601177822014 Standard
3.48853955324739 12.9824910034067 Standard
2.81141159823164 17.795062296029 Standard
2.91706093633547 16.3489051134219 Standard
2.58813204942271 18.7089554518951 Standard
2.68828404089436 16.2133435916405 Standard
2.07831947458908 18.5855917692136 Standard
1.79422729462385 17.5004042914322 Standard
3.42604846507311 14.9325959426413 Standard
3.30459809023887 13.0735386449049 Standard
2.88141055684537 12.5146373200724 Standard
3.09093483537436 14.9831814252452 Standard
1.5492273690179 23.2440203284092 Standard
2.45559194218367 18.2350528525951 Standard
3.01691907504573 17.2797495547553 Standard
1.93281587166712 18.919263831185 Standard
2.1363620152697 16.3737995975585 Standard
1.96325157070532 17.7057635776635 Standard
1.78560004476458 18.0967036520824 Standard
2.32909267162904 16.0753224255487 Standard
2.32744865259156 18.4259886100848 Standard
2.23769090184942 14.8922002897209 Standard
1.80488949548453 20.318063777772 Standard
1.77761212689802 20.3954685917577 Standard
1.9660681989044 15.7045506851493 Standard
2.43192490050569 17.983209294284 Standard
2.03194528073072 22.7646174624968 Standard
3.21565543068573 13.2386027440596 Standard
1.5916623333469 20.9148214827754 Standard
2.38440014841035 15.2823958635301 Standard
3.09784969128668 16.9278737625456 Standard
1.74379851995036 19.268253880002 Standard
2.62189596751705 19.4381428806952 Standard
1.91306277923286 15.3428702052276 Standard
1.75506330048665 18.6322143262893 Standard
3.00661572860554 13.9263024619322 Standard
3.2900907183066 13.7351981069276 Standard
2.24892555177212 15.9940658593116 Standard
2.83023038925603 13.8416216711619 Standard
1.68968132184818 20.0884007836884 Standard
2.26793927559629 15.0210207450573 Standard
2.04876728914678 20.8217599956722 Standard
3.12928007775918 12.239746596095 Standard
2.3970326827839 17.0110602544389 Standard
3.1201287060976 15.7055924553602 Standard
3.12477901903912 15.7991336210679 Standard
3.08868464222178 14.1304527456019 Standard
2.37966337520629 17.0200138650379 Standard
3.0089503172785 16.8956773517838 Standard
2.75844226311892 12.8117413764904 Standard
2.92036480270326 13.6754261688261 Standard
1.5012495466508 20.1370559886808 Standard
2.45063314819708 15.7585365987348 Standard
1.94023777032271 20.9192946769739 Standard
2.25963307544589 18.567608500372 Standard
2.72554200654849 15.967707485184 Standard
2.20359581848606 14.3736979094684 Standard
1.72227084869519 18.8853879045669 Standard
1.98723894543946 17.4054514272876 Standard
2.83611117489636 15.2869734482697 Standard
2.33529355935752 14.6310008678161 Standard
3.07639166805893 15.7681410834831 Standard
1.7057292885147 16.8048992538418 Standard
2.36978548299521 16.4381995881295 Standard
3.46991395996884 14.3531097789962 Standard
3.28610222879797 12.57466173558 Standard
3.27293812157586 15.3471684466325 Standard
1.85010530054569 15.8166632950595 Standard
1.7613913831301 13.0962764926886 Standard
2.80620385007933 16.5113244313337 Standard
2.1870329445228 19.1199808203536 Standard
2.81351625593379 14.9877603850159 Standard
2.14074648497626 18.5860130542544 Standard
1.87538223853335 16.0620202342326 Standard
3.06458860263228 14.5519369784518 Standard
1.68718997342512 15.0553933276434 Standard
2.43355808313936 19.061687533459 Standard
2.52301091980189 20.1507889636807 Standard
2.69997791852802 18.0480907649799 Standard
2.16564708063379 17.4483648252712 Standard
2.47722606733441 16.5016611134449 Standard
3.40894765499979 10.7410217886984 Standard
2.4658047943376 18.1833563047637 Standard
3.28070044424385 13.7364303058849 Standard
3.32887637382373 12.6998850278067 Standard
2.71746996464208 13.0235385207572 Standard
2.32137955306098 16.4363363475245 Standard
1.79418938187882 16.9193095843301 Standard
3.37059960654005 13.0941401397242 Standard
2.10245779994875 15.2574266246266 Standard
1.62144114309922 22.5108555365937 Standard
3.39545388007537 13.781633305358 Standard
2.94119254685938 17.3263125139666 Standard
1.78458859119564 13.4428348858978 Standard
2.5985693121329 15.2978964036116 Standard
3.40818247711286 12.4244879854773 Standard
2.67096670623869 13.5412475225521 Standard
2.30902056349441 20.1661566179649 Standard
2.79578695865348 12.7820752845006 Standard
2.13964123418555 18.2178568182594 Standard
2.11544002173468 19.3465525059553 Standard
1.93953526252881 18.5377745892496 Standard
2.23897773167118 15.5325558499954 Standard
3.46843840694055 15.4770163926267 Standard
1.80840460164472 18.9159623587475 Standard
1.68208799976856 16.8267401879303 Standard
1.78381381556392 15.8724604581041 Standard
2.88001420302317 19.5333922599168 Standard
2.73851296678185 14.4274548088176 Standard
3.28278823429719 10.4404919892724 Standard
2.84599818522111 16.528524169844 Standard
2.97415547585115 15.6979940845683 Standard
2.54227145155892 13.6655169738781 Standard
2.81967689935118 11.6550564747826 Standard
3.14361092029139 14.3365622048086 Standard
3.07256310340017 17.0611032732183 Standard
3.4596438347362 14.8933165661557 Standard
2.37886307248846 15.8775359342107 Standard
2.12340440414846 15.9614103243859 Standard
2.31894990522414 17.5852837978287 Standard
1.52093422366306 19.7519040234431 Standard
1.86769904801622 19.6563263493368 Standard
3.18545863777399 13.6520281861002 Standard
1.96232356410474 19.911737414092 Standard
1.97819991130382 16.4037772114161 Standard
1.65338233066723 18.3787636077584 Standard
1.99144735606387 19.5072869792602 Standard
2.96427041105926 17.0871319840764 Standard
3.19490633020178 10.5382716064879 Standard
2.49505453417078 16.72921721152 Standard
2.27581805968657 18.3901038444095 Standard
1.99289798829705 15.1196574081276 Standard
1.72219292260706 19.7946724319292 Standard
2.27998887049034 15.5036848477354 Standard
2.64387062797323 18.1088941404092 Standard
1.93378552561626 19.2756074873565 Standard
2.38953600404784 18.3694965778477 Standard
1.93598133744672 18.4334946462339 Standard
2.5045991265215 18.213499488751 Standard
2.20780914369971 20.13760162553 Standard
2.79997031763196 19.5325850780154 Standard
2.24942791322246 17.1949261508345 Standard
2.21089076157659 12.8692255346054 Standard
2.56737589091063 16.3609243364561 Standard
2.98066872078925 15.4691162545322 Standard
1.94220587564632 17.8626916787722 Standard
2.3254922372289 18.1601005298675 Standard
2.03137337369844 19.9272358079332 Standard
2.75994610693306 14.6841968188652 Standard
1.86765698157251 17.8088384009703 Standard
3.22728822287172 15.1138197489855 Standard
2.99313600827009 13.9201444922115 Standard
2.83656929945573 15.6728268686093 Standard
2.73603574652225 11.8684775626627 Standard
2.24447612045333 15.0267721958448 Standard
2.55967137170956 13.6654749336631 Standard
3.24936468573287 12.5446585493469 Standard
2.66350019956008 14.6228903454584 Standard
3.17953552957624 15.226003696364 Standard
2.12489632982761 19.5895370155625 Standard
2.91658064443618 13.7954910085164 Standard
2.03003561217338 15.9162151987239 Standard
2.68868638807908 13.8505631177838 Standard
2.46257960097864 15.7830837443367 Standard
2.03006546292454 17.4317454749213 Standard
2.62918086955324 17.0796924590168 Standard
3.32637644605711 13.3782209774919 Standard
3.30374877899885 9.9317751252834 Standard
2.04833324300125 17.672131719896 Standard
2.14296551281586 19.9454770828555 Standard
3.47128176875412 15.9693572307583 Standard
2.73998662037775 14.2021137026443 Standard
3.37462817830965 10.7805623777959 Standard
2.43306540464982 21.6169247697811 Standard
2.31366518652067 16.7341605554792 Standard
2.81846064841375 15.3497155545475 Standard
1.80469323368743 19.427068676334 Standard
2.64573411643505 12.8347187374566 Standard
1.97745205368847 16.611205616552 Standard
3.42471787286922 10.6449615708123 Standard
2.70273145195097 14.5056164161259 Standard
2.53005945449695 16.6475205025183 Standard
2.30514668440446 14.3551410308128 Standard
3.26049308246002 15.3984861113546 Standard
2.22818372957408 17.8941368689124 Standard
2.07647856138647 15.9621342645993 Standard
1.8412904702127 18.928778474124 Standard
1.84434349276125 19.9631318467039 Standard
2.46408521104604 18.7299348733854 Standard
2.00592985702679 17.5565138716266 Standard
1.9325095792301 18.0151976744876 Standard
2.84875277616084 15.2803134015536 Standard
1.59532725485042 22.0969417475588 Standard
2.90170617494732 17.545025259714 Standard
2.20377727691084 19.0574713047816 Standard
2.31788799585775 16.4716544127454 Standard
3.1419026479125 15.3207749245953 Standard
3.33771469630301 14.7934365735324 Standard
2.06505666021258 15.7214834307836 Standard
3.42220958741382 10.2767622071171 Standard
2.95678885653615 16.4132934856948 Standard
2.87275016400963 12.3231284456103 Standard
1.60568788554519 19.1863037203328 Standard
2.29044026928023 17.629174834856 Standard
2.45569075969979 17.7606625015124 Standard
2.62050652736798 16.5173328929257 Standard
2.89652318973094 13.8447228182129 Standard
3.33136707684025 15.9786304892702 Standard
2.73670245474204 19.2671601695864 Standard
2.35684301750734 18.6918285653289 Standard
2.58416073443368 12.360215994051 Standard
1.61695697717369 21.9482814392848 Standard
2.02171371411532 17.8227469652815 Standard
2.29430390661582 18.1669168387911 Standard
1.89548947336152 19.5575980516576 Standard
3.16385512566194 14.3150624766008 Standard
1.80577444564551 18.432150267766 Standard
3.10683708405122 16.7178028865081 Standard
2.59365231310949 17.642246905644 Standard
2.8246352840215 17.506618640024 Standard
1.84339698776603 23.2356624271626 Standard
2.76611071964726 17.0304995684464 Standard
2.12373949354514 18.0435438341352 Standard
2.94910869281739 10.7314077003966 Standard
2.29787964932621 22.4897890585136 Standard
3.43871282227337 12.7185078895873 Standard
3.43479674123228 18.445079206494 Standard
2.95340507803485 15.8890719019054 Standard
2.01443349290639 21.0335599190744 Standard
1.94357586931437 17.9498517497044 Standard
2.68609130335972 16.9646675993171 Standard
2.03504286427051 18.322787366473 Standard
2.56214079773054 15.9413362080614 Standard
3.07058334257454 14.5474623230314 Standard
1.83612162107602 20.5173038084605 Standard
2.3087983620353 16.6706886199511 Standard
2.44315255526453 12.5951773453248 Standard
3.23621361376718 13.8995806610388 Standard
3.3514159116894 15.0253334760043 Standard
3.26395511860028 15.441046076902 Standard
2.84837368503213 16.6880145798585 Standard
3.40033395867795 10.414795082228 Standard
2.53288978850469 17.1388147505083 Standard
2.65303804259747 17.9766042921017 Standard
2.17266241181642 20.0351701274861 Standard
2.19464926281944 16.9661296694535 Standard
1.54004860110581 18.736069024317 Standard
2.50562609126791 19.4587973899523 Standard
3.24208682728931 10.9378834265734 Standard
1.51260156789795 18.5885353424799 Standard
1.64411424798891 19.9825814147482 Standard
1.82842244999483 15.2791851192531 Standard
3.04066814854741 15.4372512792213 Standard
2.97036861162633 18.8446222072254 Standard
3.44375127134845 13.660624879082 Standard
2.43294475367293 16.144257689054 Standard
1.64876902662218 20.0035163482016 Standard
2.79763624863699 15.0489469125144 Standard
3.01718633901328 16.5752417311183 Standard
1.77421216201037 20.4862344428683 Standard
2.29316918924451 17.1258757547267 Standard
1.94997065840289 15.7967037092919 Standard
1.61591712106019 16.5158071819012 Standard
2.2917853766121 15.9386491388531 Standard
1.62985659996048 20.7051912012182 Standard
1.9517728658393 14.2282710531682 Standard
1.60925821820274 15.3995750279267 Standard
2.84056407911703 14.1707481131287 Standard
2.09548356523737 18.5023390002491 Standard
1.70144316460937 17.0685384098419 Standard
1.64380819443613 20.8420734908837 Standard
3.2608811375685 14.8840965276049 Standard
3.00849480414763 14.6332363510799 Standard
3.13321177521721 16.2380209474119 Standard
3.46428074734285 14.3838880836102 Standard
1.70719928992912 17.9865320757883 Standard
1.69808365870267 19.3679788927283 Standard
3.09766322234646 16.0020370489158 Standard
3.06915053306147 15.5051150905397 Standard
1.51885981019586 18.1274001535135 Standard
3.05813176557422 16.5360091134057 Standard
2.9587813038379 17.4295285396035 Standard
2.76026370562613 16.2717579962083 Standard
2.46182165993378 16.902744345123 Standard
1.81327370274812 18.408928730196 Standard
1.51643103966489 23.7735385736109 Standard
2.40491678845137 17.3378806989175 Standard
2.48458665749058 16.2296519701284 Standard
2.27917422307655 12.1466417263758 Standard
2.42933188378811 13.5814408185746 Standard
2.92655800143257 15.0649795944812 Standard
1.61060385266319 19.5807765316966 Standard
2.20956619502977 17.9250463326339 Standard
3.10562454583123 16.3261399234035 Standard
3.17141767404974 14.0974421592099 Standard
1.97549880994484 20.5026811591306 Standard
2.207972205244 15.5330512985288 Standard
3.21377084031701 11.9418020381628 Standard
3.20752674760297 11.9194474020835 Standard
2.09179091081023 19.2092213159423 Standard
1.79409664915875 18.4518701678453 Standard
2.90798412263393 16.8556834757392 Standard
1.70761337643489 18.3417470275812 Standard
1.56745554599911 18.113849157577 Standard
3.49880905589089 12.7668676820743 Standard
1.56974960817024 15.5855175270058 Standard
2.17678256751969 15.1304217766127 Standard
3.33012752328068 11.1255481374411 Standard
2.73447053926066 17.9052329261687 Standard
2.07257069740444 16.5876277250611 Standard
2.97559480601922 16.6521352875227 Standard
3.16810861835256 17.5286553483262 Standard
2.12854156084359 17.2308256992494 Standard
2.48513309564441 17.1123585257715 Standard
2.89474753243849 11.8136223638924 Standard
2.78292470797896 14.0138863210235 Standard
2.78784582996741 15.7488922088635 Standard
3.45570680964738 14.2310533777302 Standard
2.32947066891938 15.4927917586441 Standard
1.73880955995992 24.1532893185738 Standard
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1.95014670165256 18.2780470083024 Standard
2.47282352810726 17.8811131499853 Standard
2.24042959697545 17.2266739395257 Standard
3.46670036157593 12.312764141218 Standard
2.27663823030889 19.2606966369999 Standard
1.95848968066275 21.3556216044262 Standard
2.74659509258345 15.70082678015 Standard
1.77308039413765 19.8052935083932 Standard
3.43493898864836 13.5003580370497 Standard
2.53014361578971 18.4424795880352 Standard
1.82614065846428 16.2092432360874 Standard
2.7438045903109 20.4103066770562 Standard
3.4719083304517 12.3772125130682 Standard
2.83754303492606 12.5696720663456 Standard
2.33783179381862 16.284668964158 Standard
2.14668998634443 17.8533470092567 Standard
3.1705106399022 17.7357104956538 Standard
1.78763408726081 20.4595170917602 Standard
1.88563189376146 18.6280211828072 Standard
3.29347736528143 11.3406008561794 Standard
2.1162391086109 15.9192071848231 Standard
2.22660108702257 16.9936268744737 Standard
3.06789295747876 19.9023733544849 Standard
1.88675735983998 14.6192727720432 Standard
1.53553162375465 21.6555144324281 Standard
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3.23296662932262 12.1019982286266 Standard
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3.42768666381016 17.6183820213718 Standard
3.04918308416382 16.4476520626876 Standard
1.91775269713253 21.9332744177581 Standard
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3.03838782245293 17.3267639493388 Standard
2.5753543660976 17.3565051886719 Standard
3.32799089932814 14.9307419652662 Standard
1.87059288378805 16.3119592692614 Standard
2.06443683477119 16.5976630350182 Standard
1.68992482637987 17.4010134933533 Standard
1.92097415821627 19.0276692653782 Standard
3.4541979925707 11.6563907613548 Standard
2.0926043507643 18.8462697279052 Standard
2.95196605380625 12.9112690147142 Standard
3.07137566851452 18.4429339107272 Standard
1.7108354922384 19.788676222241 Standard
1.9791892580688 16.6604250012871 Standard
2.04108974477276 18.3588226306842 Standard
1.70211698813364 18.1887426371432 Standard
1.73582768253982 19.5348128718999 Standard
3.48247311171144 14.0396461023863 Standard
3.47210859460756 11.5554458708544 Standard
1.77413494279608 17.0949674139728 Standard
3.31061916332692 14.6673298794984 Standard
2.65260367514566 19.3202927920662 Standard
2.29089771816507 19.2965408628466 Standard
2.39960496826097 15.5520501479809 Standard
2.9130038022995 16.9128343963965 Standard
1.66500549158081 18.907846819745 Standard
2.17862516036257 18.0667518223491 Standard
2.86157510243356 15.9359976741724 Standard
2.13389849616215 22.7492040389603 Standard
3.16313719609752 12.140010790533 Standard
1.93034416530281 18.4108072221173 Standard
2.49589787237346 12.9523518069444 Standard
2.05209934525192 19.0233738101618 Standard
1.88404663745314 20.5410770310834 Standard
3.40124252811074 16.6875968978701 Standard
2.14345107553527 13.71935626972 Standard
2.45691276760772 17.4548006915649 Standard
1.55598514387384 22.5187844711458 Standard
2.59491893602535 15.3872114658393 Standard
2.78848044108599 15.2102576125781 Standard
2.69252708926797 15.8493442877866 Standard
2.14387475140393 18.2984132486543 Standard
3.28222862491384 15.4836338767504 Standard
2.75251389481127 18.3781000829891 Standard
2.10580983059481 17.4915953273256 Standard
2.2764093275182 17.5633281083904 Standard
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Raw
ice_data.csv
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Raw
S15S16-Exercises-Coffee
here::i_am("R/S15S16-Exercises-Coffee.R")
library(here)
library(data.table)
library(dplyr)
library(ggplot2)
library(moderndive)
coffee_data <- fread(here("data/coffee_data.csv"))
linreg_psm <- lm(CoffeeDemand~CoffeePrice+CoffeeSeller, data = coffee_data)
linreg_int <- lm(CoffeeDemand~CoffeePrice*CoffeeSeller, data = coffee_data)
# Parallel slopes model----------------
linreg_psm_plot <- coffee_data %>%
ggplot(data = ., aes(x=CoffeePrice, y=CoffeeDemand, color=CoffeeSeller)) +
geom_point(alpha=0.5) +
geom_parallel_slopes(se = FALSE) +
labs(y="Demand", x = "Price") +
scale_color_brewer(palette = "Set1", direction = -1) +
theme_bw()
linreg_psm_plot
# Interaction model----------------
linreg_itc_plot <- coffee_data %>%
ggplot(data = ., aes(x=CoffeePrice, y=CoffeeDemand, color=CoffeeSeller)) +
geom_point(alpha=0.5) +
geom_smooth(method="lm", se = FALSE) +
labs(y="Demand", x = "Price") +
scale_color_brewer(palette = "Set1", direction = -1) +
theme_bw()
linreg_itc_plot
# Comparison using R2
summary(linreg_psm)[["adj.r.squared"]] - summary(linreg_int)[["adj.r.squared"]]
summary(linreg_psm)[["r.squared"]]
summary(linreg_int)[["r.squared"]]
Raw
S15S16-Exercises-Ice.R
here::i_am("R/S15S16-Exercises-Ice.R")
library(here)
library(data.table)
library(dplyr)
library(ggplot2)
library(moderndive)
ice_data <- fread(here("data/ice_data.csv"))
# The idea is to check whether the relationship between the variables is
# actually linear. If it was not, a prior transformation of the data would
# have been necessary.
cons_price_plot <- ggplot(data = ice_data, aes(x=IcePrice, y=IceConsumption)) +
geom_point() +
theme_bw()
cons_temp_plot <- ggplot(data = ice_data, aes(x=Temperature, y=IceConsumption)) +
geom_point() +
theme_bw()
ggpubr::ggarrange(cons_price_plot, cons_temp_plot, ncol = 2)
# Theoretically, both temperature and price are likely to be associated with
# ice consumption. However, ploting the variables suggest that while the
# relationship between price and consumption is linear and might be studied
# using linear regression models, the relationship between consumption and
# temperature is nonlinear. It should, therefore, not be studied using
# linear regression, at least not before the variables were transformed.
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