Help with Question 2 3 Do Not use AI Must Code in R Show all work Rocket Motors, manufacturer of high end sport bikes, just released its newest bike line, the Speed Demon To get an understanding of the motorcycle's performance, the bike was driven on a closed course by a professional driver at a constant speed for 5 minutes and various data points recorded, among them being the fuel efficiency (measured in miles per gallon (MPG)) These calibrations runs were performed 200 times at a variety of speeds Do the following 2 The National Highway Traffic Safety Administration (NHTSA) requires all vehicles marketed in the US to provide ranges for what the mean MPG is at a variety of speeds Treating MPG as the response variable and speed as the explanatory variable, are enough of the model assumptions satisfied in order to fit a polynomial model to this data towards the prior purpose If not, explain what must be done to address the deviations from the needed model assumptions (if necessary) 3 After addressing any issues in part 2, fit a polynomial model to the data Clearly explain the process with which you went about arriving at the order of the polynomial model you fit (you will need to fit several polynomial models and compare them) Explicitly write out the estimated model equation for the polynomial model you decided upon (on the transformed scales if data transformations were needed) DATASET Speed (mph) MPG 79 3730491120836 36 1878358220429 1 08028844640423 13 3903429206183 111 317162244405 20 5908822528821 54 2635287424193 39 2721210028973 106 904475491093 27 972952264747 13 9405217380808 26 0544429536115 101 998620951339 27 987478161429 42 8110848179818 40 8655798185064 0 204697909119047 12 9988159908671 32 9278019882817 34 284598505051 117 133726975879 17 3764780168826 66 0282348623796 36 0981403607923 0 123794544443462 12 7299211023975 15 9702034969257 27 336996853049 46 786361192416 35 5794407033701 60 262606573783 39 5588495849539 107 510967667597 23 9504370481262 69 725769433615 36 5176483326025 48 47016227922 36 312583730804 50 9086861301929 34 9464589728613 119 796894486338 13 911389467815 71 814927528474 38 1528973750792 108 055039809549 25 2036125288171 94 7047826092864 29 9511429604197 59 7058697065319 35 3206592261487 54 3412132966177 35 2248500627615 103 407905381805 27 8573356738716 119 759407871121 13 5454585490455 108 693056775465 20 1088372492336 12 2246693818799 25 8346281151388 12 4874463431269 24 6702356795663 2 73270215096665 14 5635403375525 25 5453990011639 35 8893636116531 110 449334305404 21 743658372141 10 632903266659 22 7217667329182 115 958656747356 17 620028332907 44 3037303440279 37 2107617231617 50 6322667374983 38 8367514417603 108 558913715047 23 4569747513945 1 74557638514832 14 4346135909477 24 1162792486206 31 8642521855826 102 056999899934 30 5876282325627 3 01408463835272 14 6265758195762 3 70549145306767 16 3368537653209 24 2612956274552 28 4355688801553 11 0088976164948 21 5527308895476 0 39810992854424 14 020281918264 1 09591149407963 13 4294682183089 119 647418876366 13 5394852197631 69 6926495609529 35 1172023365452 109 57839100479 20 7571072596484 32 4114965063164 32 2077228597318 74 5871768784344 38 8586957281445 119 961650166624 12 8042388899295 37 7359655340779 40 7141555378133 5 47907571067175e 05 13 1211110393941 37 4271047311315 34 0978017110176 109 577200055173 24 4301756948598 3 48254196211549e 05 14 3558973651457 119 559230835216 15 1521803172572 0 0911434624081723 12 7192316210332 68 0993563130028 41 0360777407157 81 9347933303207 38 3180060664341 98 252797302335 27 7277951935303 61 1551530242011 34 3761524459486 5 23171863825089 15 1165746757526 119 999919309268 11 9049771372587 20 9656699072959 28 5490869945418 110 194057647508 21 5071450261588 119 247798491561 12 7919216240903 114 058483140423 16 6959522502589 11 7187489553856 21 3962874113345 118 290697361662 15 2336013702427 27 6459335193303 33 730396627697 99 2193763405727 33 0626215550365 119 999843372758 12 9081114298445 102 073994505346 32 6686404131981 9 73017007471846 22 44878933739 95 710869442567 33 0791151668329 96 2462794569898 34 9123575221675 4 96740839688244 18 2501139203278 30 8816756758686 35 8323329106165 37 9296587582406 39 3738591696964 111 894153109848 20 1229380645595 78 7825667602831 39 4378794311125 10 2103784655279 20 7009246515621 0 138138715519599 11 8620876839537 31 884994346554 37 7874902909426 92 4515819038005 31 434285961103 23 0476414790831 33 565377798551 96 6214944626414 32 9931951236634 5 78731433896048 18 7651899577065 2 14360299834493 16 2227004404217 96 7678203910123 31 1886841473321 103 162367902648 29 0238716096579 96 1542861940475 26 9540703549645 0 114669564381283 13 1672759727288 119 882069697068 13 5026159215011 0 439801149928502 14 2833341592132 119 871953919171 12 5220839577254 63 1736621810807 36 0202531387327 68 359255454358 41 347838777967 117 68216974418 15 355383307783 59 1331465909147 39 8959429880971 0 0158526163444477 14 3113918854365 119 91709831128 13 1285144184057 93 5574240613398 36 5891241589056 65 6005705367116 35 7781605759848 119 892453636951 12 8651162581895 0 542872064725905 13 5694879637172 103 350851377683 26 1101199323329 57 5250444312415 32 1382419054354 11 4432889531929 22 3952867605884 119 746503581852 13 7338431618816 103 65133248151 28 9710060252999 23 3345096415172 32 2183743999226 89 900152811014 34 4062335177289 119 673755362119 13 0430942072789 0 587814441723041 12 6950704348907 98 3593931176992 32 1643652685116 84 7045055513463 34 3883464112838 17 6099412383574 27 6162492827067 105 649639627419 26 8930926163338 105 98705377999 23 5416436001722 40 3342273281656 35 1460020206799 119 999716055971 13 4144783084576 119 998005478013 11 8480415866658 8 98249747523238 24 0680181391615 119 991362201792 11 6019570502786 0 000216780245988643 14 2303690197006 24 4879234983313 34 7191732748586 117 858703458994 15 4029285936815 41 0402418352257 36 6049585199407 98 80778182048 29 8872875501846 119 999986113938 12 4775827062417 4 16249170715099 19 0851856292637 1 95472232412374 17 1949418685349 117 866603728754 16 025651211634 32 994445742836 35 5546973382104 67 7415156110696 37 5073603401714 118 419647660484 13 9699674534833 20 2426410353239 32 2223547176471 111 177722629021 19 4225597087328 7 66840851026095 18 3519850655719 116 516606453413 16 8645899156911 16 1752096136004 24 447685679962 75 3668610940989 41 5110995468011 112 901084660276 17 8554959751675 109 07816269245 22 0029140824078 0 126963087219257 13 9631457457556 46 2229468947151 39 8875699991884 119 996308470723 12 7377365320186 0 0537368325555807 11 0550827720122 15 3016122794153 28 6881904116554 118 447572559168 13 9078269071133 71 6146125070361 34 296083144568 90 6239597171578 31 8040318112675 40 9630734974127 36 0537148775731 111 174419638422 21 2645799437467 106 354916185606 26 3574996566669 109 801541150271 20 0295007029892 104 507903976002 26 5098288869683 5 96569296705274e 05 13 061505776228 2 1825953879882 16 6593681749386 119 820692747773 11 9295131798437 0 513384914200786 13 6260845412695 118 317594428746 14 6189662876453 42 1065773270214 35 5356081007507 0 0074078474772786 12 7839676897178 119 986732817945 12 2994379089523 0 0056812851637889 13 0572414604443 9 02398645946972 23 1332547526051 19 1073687212969 27 264309607196 4 24149223035276 16 8952767808698 81 3495640592518 34 4152829126756 107 260954620767 26 6851210279015 13 3421928625698 24 8481851620351 0 0449478314632434 12 5287217165874 6 30772658407288 19 4251731433994 0 0640027454103446 12 5894513071897 19 7058426286587 29 4548381415803 37 4742818617908 35 4844551338123 97 112911507482 37 7554770214019 119 989902322269 12 3936136174778 0 0109881827472389 13 1131081224381 73 8025512836269 37 0859599375777 0 346265832482846 14 8691585210721 119 028091921242 13 034003327108 33 5669025953614 39 2821447018323 62 7014468048627 39 2975517332596 58 3104951734413 41 0774761164817 89 0994708848096 35 6438196953245 117 001530886152 17 5693861141182 0 000657395428876013 11 9789638739623 1 45240352928338 15 7328041847438 29 2606665122642 30 926919588164 104 538546325452 30 468437463142 101 659189858252 29 7167957373271 118 343828315209 14 4846141147935 11 7849288484147 26 6822361257085

Question

Help with Question 2   3  Do Not use AI  Must Code in R  Show all work  Rocket Motors, manufacturer of high end sport bikes, just released its newest bike line, the Speed Demon  To get an understanding of the motorcycle's performance, the bike was driven on a closed course by a professional driver at a constant speed for 5 minutes and various data points recorded, among them being the fuel efficiency (measured in miles per gallon (MPG))  These calibrations runs were performed 200 times at a variety of speeds  Do the following  2  The National Highway Traffic Safety Administration (NHTSA) requires all vehicles marketed in the US to provide ranges for what the mean MPG is at a variety of speeds  Treating MPG as the response variable and speed as the explanatory variable, are enough of the model assumptions satisfied in order to fit a polynomial model to this data towards the prior purpose  If not, explain what must be done to address the deviations from the needed model assumptions (if necessary)  3  After addressing any issues in part 2, fit a polynomial model to the data  Clearly explain the process with which you went about arriving at the order of the polynomial model you fit (you will need to fit several polynomial models and compare them)  Explicitly write out the estimated model equation for the polynomial model you decided upon (on the transformed scales if data transformations were needed)  DATASET   Speed (mph)   MPG  79 3730491120836 36 1878358220429 1 08028844640423 13 3903429206183 111 317162244405 20 5908822528821 54 2635287424193 39 2721210028973 106 904475491093 27 972952264747 13 9405217380808 26 0544429536115 101 998620951339 27 987478161429 42 8110848179818 40 8655798185064 0 204697909119047 12 9988159908671 32 9278019882817 34 284598505051 117 133726975879 17 3764780168826 66 0282348623796 36 0981403607923 0 123794544443462 12 7299211023975 15 9702034969257 27 336996853049 46 786361192416 35 5794407033701 60 262606573783 39 5588495849539 107 510967667597 23 9504370481262 69 725769433615 36 5176483326025 48 47016227922 36 312583730804 50 9086861301929 34 9464589728613 119 796894486338 13 911389467815 71 814927528474 38 1528973750792 108 055039809549 25 2036125288171 94 7047826092864 29 9511429604197 59 7058697065319 35 3206592261487 54 3412132966177 35 2248500627615 103 407905381805 27 8573356738716 119 759407871121 13 5454585490455 108 693056775465 20 1088372492336 12 2246693818799 25 8346281151388 12 4874463431269 24 6702356795663 2 73270215096665 14 5635403375525 25 5453990011639 35 8893636116531 110 449334305404 21 743658372141 10 632903266659 22 7217667329182 115 958656747356 17 620028332907 44 3037303440279 37 2107617231617 50 6322667374983 38 8367514417603 108 558913715047 23 4569747513945 1 74557638514832 14 4346135909477 24 1162792486206 31 8642521855826 102 056999899934 30 5876282325627 3 01408463835272 14 6265758195762 3 70549145306767 16 3368537653209 24 2612956274552 28 4355688801553 11 0088976164948 21 5527308895476 0 39810992854424 14 020281918264 1 09591149407963 13 4294682183089 119 647418876366 13 5394852197631 69 6926495609529 35 1172023365452 109 57839100479 20 7571072596484 32 4114965063164 32 2077228597318 74 5871768784344 38 8586957281445 119 961650166624 12 8042388899295 37 7359655340779 40 7141555378133 5 47907571067175e 05 13 1211110393941 37 4271047311315 34 0978017110176 109 577200055173 24 4301756948598 3 48254196211549e 05 14 3558973651457 119 559230835216 15 1521803172572 0 0911434624081723 12 7192316210332 68 0993563130028 41 0360777407157 81 9347933303207 38 3180060664341 98 252797302335 27 7277951935303 61 1551530242011 34 3761524459486 5 23171863825089 15 1165746757526 119 999919309268 11 9049771372587 20 9656699072959 28 5490869945418 110 194057647508 21 5071450261588 119 247798491561 12 7919216240903 114 058483140423 16 6959522502589 11 7187489553856 21 3962874113345 118 290697361662 15 2336013702427 27 6459335193303 33 730396627697 99 2193763405727 33 0626215550365 119 999843372758 12 9081114298445 102 073994505346 32 6686404131981 9 73017007471846 22 44878933739 95 710869442567 33 0791151668329 96 2462794569898 34 9123575221675 4 96740839688244 18 2501139203278 30 8816756758686 35 8323329106165 37 9296587582406 39 3738591696964 111 894153109848 20 1229380645595 78 7825667602831 39 4378794311125 10 2103784655279 20 7009246515621 0 138138715519599 11 8620876839537 31 884994346554 37 7874902909426 92 4515819038005 31 434285961103 23 0476414790831 33 565377798551 96 6214944626414 32 9931951236634 5 78731433896048 18 7651899577065 2 14360299834493 16 2227004404217 96 7678203910123 31 1886841473321 103 162367902648 29 0238716096579 96 1542861940475 26 9540703549645 0 114669564381283 13 1672759727288 119 882069697068 13 5026159215011 0 439801149928502 14 2833341592132 119 871953919171 12 5220839577254 63 1736621810807 36 0202531387327 68 359255454358 41 347838777967 117 68216974418 15 355383307783 59 1331465909147 39 8959429880971 0 0158526163444477 14 3113918854365 119 91709831128 13 1285144184057 93 5574240613398 36 5891241589056 65 6005705367116 35 7781605759848 119 892453636951 12 8651162581895 0 542872064725905 13 5694879637172 103 350851377683 26 1101199323329 57 5250444312415 32 1382419054354 11 4432889531929 22 3952867605884 119 746503581852 13 7338431618816 103 65133248151 28 9710060252999 23 3345096415172 32 2183743999226 89 900152811014 34 4062335177289 119 673755362119 13 0430942072789 0 587814441723041 12 6950704348907 98 3593931176992 32 1643652685116 84 7045055513463 34 3883464112838 17 6099412383574 27 6162492827067 105 649639627419 26 8930926163338 105 98705377999 23 5416436001722 40 3342273281656 35 1460020206799 119 999716055971 13 4144783084576 119 998005478013 11 8480415866658 8 98249747523238 24 0680181391615 119 991362201792 11 6019570502786 0 000216780245988643 14 2303690197006 24 4879234983313 34 7191732748586 117 858703458994 15 4029285936815 41 0402418352257 36 6049585199407 98 80778182048 29 8872875501846 119 999986113938 12 4775827062417 4 16249170715099 19 0851856292637 1 95472232412374 17 1949418685349 117 866603728754 16 025651211634 32 994445742836 35 5546973382104 67 7415156110696 37 5073603401714 118 419647660484 13 9699674534833 20 2426410353239 32 2223547176471 111 177722629021 19 4225597087328 7 66840851026095 18 3519850655719 116 516606453413 16 8645899156911 16 1752096136004 24 447685679962 75 3668610940989 41 5110995468011 112 901084660276 17 8554959751675 109 07816269245 22 0029140824078 0 126963087219257 13 9631457457556 46 2229468947151 39 8875699991884 119 996308470723 12 7377365320186 0 0537368325555807 11 0550827720122 15 3016122794153 28 6881904116554 118 447572559168 13 9078269071133 71 6146125070361 34 296083144568 90 6239597171578 31 8040318112675 40 9630734974127 36 0537148775731 111 174419638422 21 2645799437467 106 354916185606 26 3574996566669 109 801541150271 20 0295007029892 104 507903976002 26 5098288869683 5 96569296705274e 05 13 061505776228 2 1825953879882 16 6593681749386 119 820692747773 11 9295131798437 0 513384914200786 13 6260845412695 118 317594428746 14 6189662876453 42 1065773270214 35 5356081007507 0 0074078474772786 12 7839676897178 119 986732817945 12 2994379089523 0 0056812851637889 13 0572414604443 9 02398645946972 23 1332547526051 19 1073687212969 27 264309607196 4 24149223035276 16 8952767808698 81 3495640592518 34 4152829126756 107 260954620767 26 6851210279015 13 3421928625698 24 8481851620351 0 0449478314632434 12 5287217165874 6 30772658407288 19 4251731433994 0 0640027454103446 12 5894513071897 19 7058426286587 29 4548381415803 37 4742818617908 35 4844551338123 97 112911507482 37 7554770214019 119 989902322269 12 3936136174778 0 0109881827472389 13 1131081224381 73 8025512836269 37 0859599375777 0 346265832482846 14 8691585210721 119 028091921242 13 034003327108 33 5669025953614 39 2821447018323 62 7014468048627 39 2975517332596 58 3104951734413 41 0774761164817 89 0994708848096 35 6438196953245 117 001530886152 17 5693861141182 0 000657395428876013 11 9789638739623 1 45240352928338 15 7328041847438 29 2606665122642 30 926919588164 104 538546325452 30 468437463142 101 659189858252 29 7167957373271 118 343828315209 14 4846141147935 11 7849288484147 26 6822361257085

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Question: Help with Question 2 & 3. Do Not use AI. Must Code in R. Show all work. Rocket Motors, manufacturer of high-end sport bikes, just

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