Please use R studio data13.txt X Y 7.04948502035051 4.37962324700581 13.8476196680892 7.50565180245216 32.816097590358 10.0906847942093 82.4841389807196 18.4011989585016 4.06756013069971 3.05176165487089 80.7104026056357 20.6187246034129 89.2411363114593 19.9685665861328 43.6653722555489 14.5812171939798 39.5784480230802 13.1585589147171 0.381754321829103 3.75898953013042 4.24255255049477 3.16588681706255 3.11722868635849 2.83866795503906 47.2000391829763 15.8888802909681 14.7535666345618 6.70602983430919 59.2655811945394 15.0857572845682 24.7704535572201 9.36477294754139 51.4976323403655 13.8723808624657 98.3877700961859 19.4194519421448 14.4426737607694 8.34198608558862 60.4421072152984 15.2829087029915 87.367386905675 17.9351684289468 4.5004449336163 6.25740866340878 42.4678697404552 12.7116062088973 1.57640821218556 2.24176712416127 7.14068857951894 5.1941272627303 14.9084092460861 8.79128131145153 0.0179301022106213 0.157460056988418 14.6220549712186 7.59130788419988 75.6362167129986 16.3713261962759 11.5837439546311 6.32057452538413 23.2401237732567 9.73184297007248 35.9479179017668 11.1079747791123 24.3583021763509 10.6680704299263 3.46769950752827 1.44676090554071 68.454660834274 17.0073031633244 44.6847780069539 11.0646600285409 63.0816956366883 15.4333330242755 1.16518263698174 1.36645266108961 52.3757533418442 13.4960767497831 16.9146656478608 8.14014342609944 67.3952817822558 13.5473867437971 41.8686894426279 14.7060788444263 61.2983710266141 13.1611965914704 data14.txt X Y 2.44797277031466 1.87133704058055 0.706790471449494 NA 0.994661601725966 0.613624281240899 3.1627170718275 2.79740546743333 5.18634263193235 3.07258608043281 6.62005076417699 3.34117662766835 4.06830187188461 3.30764866293332 9.12875924259424 4.34685737645568 2.93603372760117 2.34821140526844 4.59065726259723 3.28162141299968 3.32394674187526 2.82445170976827 6.5087046707049 3.4768584626158 2.58016780717298 2.91023870346689 4.78545248275623 3.03123150226124 7.66310670645908 3.63173119016247 0.842469143681228 1.21175033915041 8.75321330036968 4.22110579227622 3.39072937844321 3.20053532326632 8.39440350187942 4.11673542453233 3.4668348915875 2.76028404178087 3.33774930797517 2.56120464096791 4.76351245073602 3.00433414218895 8.92198335845023 4.21804192421478 8.64339470630512 4.29747004888405 3.89989543473348 3.30343130433272 7.77320698834956 4.13370325916662 9.60617997217923 4.58521782927905 4.34659484773874 2.61652528425399 7.12514678714797 3.96561936264387 3.99994368897751 2.88613488656473 3.25352151878178 2.07513083778474 7.57087148027495 3.99039810977828 2.02692255144939 1.95338506081744 7.11121222469956 4.05207421172834 1.21691921027377 1.13345287557117 2.45488513959572 2.06505511991777 1.4330437942408 1.21528734973069 2.39629415096715 2.12765889178211 0.589343772735447 1.33480530966145 6.42288258532062 3.42755640521959 8.76269212691113 4.33254474942784 7.78914677444845 3.71027888027844 7.9730882588774 3.79133220630205 4.55274453619495 3.35666882975612 4.10.

1. Please use R studio
data13.txt
X Y
7.04948502035051 4.37962324700581
13.8476196680892 7.50565180245216
32.816097590358 10.0906847942093
82.4841389807196 18.4011989585016
4.06756013069971 3.05176165487089
80.7104026056357 20.6187246034129
89.2411363114593 19.9685665861328
43.6653722555489 14.5812171939798
39.5784480230802 13.1585589147171
0.381754321829103 3.75898953013042
4.24255255049477 3.16588681706255
3.11722868635849 2.83866795503906
47.2000391829763 15.8888802909681
14.7535666345618 6.70602983430919
59.2655811945394 15.0857572845682
24.7704535572201 9.36477294754139
51.4976323403655 13.8723808624657
98.3877700961859 19.4194519421448
14.4426737607694 8.34198608558862
60.4421072152984 15.2829087029915
87.367386905675 17.9351684289468
4.5004449336163 6.25740866340878
42.4678697404552 12.7116062088973
1.57640821218556 2.24176712416127
7.14068857951894 5.1941272627303
14.9084092460861 8.79128131145153
0.0179301022106213 0.157460056988418
14.6220549712186 7.59130788419988
75.6362167129986 16.3713261962759
11.5837439546311 6.32057452538413
23.2401237732567 9.73184297007248
35.9479179017668 11.1079747791123

2. 24.3583021763509 10.6680704299263
3.46769950752827 1.44676090554071
68.454660834274 17.0073031633244
44.6847780069539 11.0646600285409
63.0816956366883 15.4333330242755
1.16518263698174 1.36645266108961
52.3757533418442 13.4960767497831
16.9146656478608 8.14014342609944
67.3952817822558 13.5473867437971
41.8686894426279 14.7060788444263
61.2983710266141 13.1611965914704
data14.txt
X Y
2.44797277031466 1.87133704058055
0.706790471449494 NA
0.994661601725966 0.613624281240899
3.1627170718275 2.79740546743333
5.18634263193235 3.07258608043281
6.62005076417699 3.34117662766835
4.06830187188461 3.30764866293332
9.12875924259424 4.34685737645568
2.93603372760117 2.34821140526844
4.59065726259723 3.28162141299968
3.32394674187526 2.82445170976827
6.5087046707049 3.4768584626158
2.58016780717298 2.91023870346689
4.78545248275623 3.03123150226124
7.66310670645908 3.63173119016247
0.842469143681228 1.21175033915041
8.75321330036968 4.22110579227622
3.39072937844321 3.20053532326632
8.39440350187942 4.11673542453233
3.4668348915875 2.76028404178087
3.33774930797517 2.56120464096791
4.76351245073602 3.00433414218895

3. 8.92198335845023 4.21804192421478
8.64339470630512 4.29747004888405
3.89989543473348 3.30343130433272
7.77320698834956 4.13370325916662
9.60617997217923 4.58521782927905
4.34659484773874 2.61652528425399
7.12514678714797 3.96561936264387
3.99994368897751 2.88613488656473
3.25352151878178 2.07513083778474
7.57087148027495 3.99039810977828
2.02692255144939 1.95338506081744
7.11121222469956 4.05207421172834
1.21691921027377 1.13345287557117
2.45488513959572 2.06505511991777
1.4330437942408 1.21528734973069
2.39629415096715 2.12765889178211
0.589343772735447 1.33480530966145
6.42288258532062 3.42755640521959
8.76269212691113 4.33254474942784
7.78914677444845 3.71027888027844
7.9730882588774 3.79133220630205
4.55274453619495 3.35666882975612
4.10084082046524 2.58416532810374
8.10870242770761 4.10309236112124
6.04933290276676 3.39515120854288
6.54723928077146 3.70251013786854
3.53197271935642 3.09794373222286
2.70260145887733 2.79017661948444
9.9268406117335 4.39969538973357
6.33493264438584 3.04006776007263
2.13208135217428 2.83031006942699
1.29372348077595 1.89421387696853
4.78118034312502 3.22092404290998
9.24074469832703 4.29667198095633
5.9876096714288 3.56936716762047
9.76170694921166 4.3905409861165

4. 7.31792511884123 3.90728706426393
3.56726912083104 2.55620189454895
4.31473690550774 2.56401286944787
1.48211560677737 2.10855130711516
0.130775754805654 1.59410446579282
7.15566066093743 3.72131837767698
1.03184235747904 0.428660800104856
4.46284348610789 3.14468582385149
6.40101045137271 3.56860717891511
9.91838620044291 4.1517399714636
4.95593577856198 3.14882031031375
4.84349524369463 2.95660954244842
1.73442334868014 1.71970748314057
7.54820944508538 3.65534681613345
4.53895489219576 3.43258250392729
5.11169783771038 3.11876540009567
2.07545113284141 1.32008793165577
2.28658142732456 2.20657041871732
5.95711996313184 3.50841893106737
5.7487219828181 3.1652336272418
0.770643802825361 NA
0.355405795853585 NA
6.42795492196456 3.70292739569787
9.28615199634805 4.29915329787531
5.98092422354966 3.43723440153439
5.60900748008862 3.47264251732127
5.26027723914012 2.95649564863726
9.85095223877579 4.62028895676049
5.07641822332516 3.1850934686808
6.82788078673184 3.83623872752476
6.01541217649356 3.68537460173227
2.38868677755818 2.26110463656358
2.58165926672518 1.96093271535546
7.29309623362496 4.04111857054466
4.52570831403136 2.45991243967839
1.75126768415794 1.63870352971893

5. 7.46698269620538 3.81450643316737
1.04987640399486 1.36035703138632
8.64544949028641 4.33838620269669
6.14644971676171 3.53514246858278
5.57159538846463 3.42840227833097
3.28777319053188 2.54382864233116
4.53131445450708 2.94807265795556
5.00440972624347 3.32447675016932
1.80866361130029 2.31012332104247
5.29630602803081 2.64347644849048
0.752757457084954 1.53773347724457
2.77755932649598 2.47329845816471
2.12699519237503 1.90160164135814
2.84790480975062 2.66876916028091
8.95094102947041 4.16149327602043
4.462353233248 2.91516903005583
7.79984889784828 4.1092350216088
8.80619034869596 4.49353108880676
4.13124209502712 2.94407312094317
0.638084805104882 0.801806457649415
3.35487491684034 2.21947739150263
7.23725946620107 3.73871227350857
3.37615333497524 2.31139842523643
6.30414122482762 3.49569500600053
8.40614554006606 4.17179335927182
8.56131664710119 3.98055871155879
3.9135928102769 3.43524903641586
3.80493885604665 2.80069548962234
8.95445425994694 4.4276652336278
6.44315762910992 3.07451285384525
7.41078648716211 3.99162557238494
6.05303446529433 3.18303333157404
9.03081611497328 4.40923323791793
2.93730155099183 2.54397294308756
1.9126010988839 1.79273794204929
8.86450943304226 4.44020346508473

6. 5.03339485730976 3.00248933565952
8.77057543024421 4.08291922576575
1.89193622441962 1.51071644503564
7.58103052387014 3.76295005781504
7.24498892668635 3.98845274303612
9.43724818294868 4.41871583044385
5.47646587016061 3.52996750223522
7.11743867723271 3.69454995342936
3.88905099825934 2.88836587609337
1.00873126182705 1.54392678271473
9.27302088588476 4.05051302407432
2.83232500310987 2.88657131168328
5.9057315881364 3.46599692262895
1.10360604943708 1.83183257903416
8.40507032116875 4.2711644381481
3.17963684443384 2.50667611324325
7.82851336989552 3.89850017444409
data15.txt
X Y
14.2262184434674 79.8079598524554
41.3155522288532 1818.29004451984
307.518003505774 24117.3021689275
8796.22472548094 98070675.8157551
7.51438595316779 21.1525751561161
7973.64374347872 900737656.044829
12666.9647930076 470151991.298908
740.983179174052 2150513.46813732
539.7685513071 518429.28560446
1.85495920643169 42.9050498072134
7.84397521816763 23.7097609329253
5.84488853905157 17.0929817457955
963.168592508885 7951572.70002251
46.5737548642796 817.319296506794
2204.84876887705 3561731.22780585
145.037513224305 11669.9559138667

7. 1307.90916337453 1058518.51640574
20313.9058611887 271494365.023459
44.7169128835679 4196.41591165137
2379.03973651904 4337933.77062209
11464.97839729 61538184.6637689
8.34301959695113 521.864858921065
676.368239595237 331573.972627961
3.50977158412774 9.40994514516693
14.4718688724407 180.210797467078
47.5195367004502 6576.65352060041
1.14328229501978 1.17053400239471
45.7814767115449 1980.90261148409
5984.3826145331 12881802.2652258
30.0688564559271 555.892274947471
124.064445790275 16845.5696103655
401.681005215272 66700.9703058684
139.130601409498 42961.963348806
6.43773013263969 4.24932822416632
3919.55413823678 24332006.0562762
800.044524643556 63873.5117959415
2814.10234588984 5042099.01347655
2.94301998194075 3.92141540403618
1390.07010541363 726560.293131624
61.1142031393022 3429.4096995733
3675.56793983583 764813.080545745
645.872385239713 2436513.89579055
2513.23896084673 519798.539510044
252.235485241177 31743.0991349995
199.775812829501 7483.91587279807
2679.97385241176 2328875.59543807
1.2627754332684 36.502248634605
118.190845220074 14338.3741672993
1514.94950401073 333308.570405299
1019.75284166833 88762.7916326948
118.652164014624 27658.0774036509
5497.75314313081 29395430.2799738

8. 79.915599558227 3963.32890094532 3. Data transformation. When one or more assumptions
for the simple linear regression model do not hold, we may want to seek possible transformations
on X and/or Y so that the linear model is a suitable model for the transformed variables. For
three datasets under Canvas/Files/Data files (data13.txt - data15.txt), first check whether the
three assumptions (linearity of X and Y, equal variance, and normality of residuals) hold based
on the scatterplot and diagnostic plots. Then, try different transformations on X and/or Y, state
the transformation you would take so that the simple linear regression model is proper on the
transformed data. Draw the scatter plot of the transformed data and the diagnostic plots of the
new model. Comment on if the issues encountered before were resolved by transformation.