The Following exercise needs to be done in R

The sample dat has the following format:

• dat$X - predictor X values;
• dat$Y - output Y values.

Fit linear model, analyze residuals and separate the mixed samples. Create variable Unscrambled.Selection.Sequence and save it in file result.csv Create list variable res

Y	X
0.988879	0.29384
1.416877	-3.16805
-2.6244	3.747652
-2.46772	3.778679
1.620442	-1.58225
0.516995	-1.18303
1.994262	-2.28187
0.702914	-1.59091
0.755166	-0.06929
-0.41247	-0.86283
0.679762	-2.46887
2.254181	-2.55868
-0.25186	3.7152
-0.88268	3.940241
-2.08585	1.803501
1.120819	-0.92523
-0.0188	-3.01037
2.313209	-0.78422
-1.26894	1.413063
1.360875	3.101826
-0.63889	-2.68491
0.6202	-3.50306
-2.5562	1.114547
0.595817	1.583664
-0.43778	-3.73252
-1.21358	-0.91207
0.851004	2.66219
-1.93434	2.467672
-1.25487	2.487642
0.036302	-2.2164
-1.18645	3.40875
1.004074	1.896666
-0.14178	-2.69271
0.344553	-1.65645
-0.25486	-2.6338
-0.30267	0.66229
-0.42428	-1.35838
-0.16641	0.544409
-3.89964	3.777257
0.147049	1.963121
2.002555	-3.7523
-1.75019	2.070996
-1.09602	2.614963
-0.35201	-1.75573
-0.54722	-0.95971
3.1599	-2.2667
-0.36134	-3.93272
0.813762	-2.65817
-0.12263	-3.66134
1.62361	-0.99696
0.546438	-2.07987
0.48219	-3.14422
-2.65253	3.117333
-3.24964	3.732684
-0.9976	-2.24779
-2.26612	0.187901
-2.14315	2.867428
2.228591	-3.19644
-0.45425	-0.00805
0.017728	0.711297
1.332797	-2.5773
2.044617	-0.30918
0.135711	0.258017
0.132093	-3.87172
-1.78141	1.64357
2.748389	-3.0139
1.607207	0.515725
-0.94234	-0.18088
-0.29533	1.361952
1.72943	-3.80904
0.617692	-0.04279
1.143062	-0.27908
2.704225	-0.09931
-0.63043	1.391603
-0.77532	-0.04949
-0.14753	3.616796
-1.21465	-1.99623
-0.38521	2.110942
-0.0171	-0.35824
2.09165	-2.41034
0.389296	-3.79735
-0.92655	1.946589
1.110085	-2.20928
1.393324	-1.93484
0.756351	2.555547
0.960091	-3.41977
1.054319	-0.72806
-1.03536	1.366494
-1.13607	-0.68029
-2.40001	1.294108
2.036856	-3.12022
0.547311	-3.74184
-0.4517	-2.0662
-0.43384	-2.637
3.343085	-3.37746
-2.11965	2.923316
1.239286	-2.54954
3.299038	-2.81189
-0.36258	-2.00551
0.231829	-0.16555
-0.08566	1.68558
1.088824	-0.136
0.851993	-0.11707
0.9277	1.508192
-1.24409	1.934283
-2.37071	2.097244
0.509087	0.635048
-0.17562	2.263592
0.841571	1.502997
0.578659	1.035874
-1.11202	-0.6714
0.882454	0.848157
0.535974	1.151668
-0.79493	-1.46431
0.629694	0.330688
1.265177	-2.39477
-1.36041	1.710693
-1.83785	-1.56306
0.415214	-0.16437
1.412864	-2.45126
-0.7353	1.248207
-2.7528	3.352375
-0.04955	-2.62135
-0.38467	2.890705
0.00137	0.850377
0.270947	-3.24871
0.914148	0.114014
-0.61244	-0.11128
-2.02724	3.978971
0.506371	-3.87863
1.59714	-3.72148
-0.94543	-0.07548
-0.73812	0.528835
-2.31493	1.679315
2.486661	-3.80861
-2.21404	0.977064
0.335417	1.696766
0.023392	2.358281
-1.44393	0.811266
-0.20053	1.6773
0.348419	-2.44736
0.552613	-2.09562
-0.65453	-0.38628
-1.98648	3.736026
1.068253	-2.9497
-0.41657	1.512105
1.094723	0.056844
0.212706	1.289792
1.084644	-1.14503
0.218642	1.301379
-0.2996	0.94409
-0.18984	0.602988
0.490459	-1.65335
-1.82361	-0.28814
2.448408	-2.14363
-0.36515	-1.67341
2.871102	-3.63773
-0.66619	-0.04178
-1.29771	0.621885
3.196365	-2.5514
-1.88626	3.67225
0.167929	2.748007
-1.59828	2.960585
1.973373	-1.05327
-1.8777	3.568449
1.675366	-3.00168
0.538152	3.62688
-3.24758	2.274266
-0.1124	-0.04954
0.684694	2.043278
-0.53126	-3.64508
0.303617	0.302672
0.580557	1.960597
-2.46016	2.099391
0.226723	-2.112
-1.85653	1.154072
-2.22879	3.018945
1.085581	-0.37123
-0.52599	2.198257
-0.22404	0.09719
-2.30253	3.683897
1.112545	1.069557
0.500765	2.246762
-1.25088	0.871067
0.063193	-3.97498
-1.66796	2.023881
0.479672	2.162774
-0.30439	-2.4502
1.8903	-3.43084
0.697871	-2.05108
2.212065	-3.28336
0.620872	-1.73463
-0.41186	-1.11973
0.460763	-3.02237
-0.62102	-1.29678
0.643479	-2.95328
-0.61145	-0.51024
0.355844	-2.39585
-2.24848	3.575793
-1.19857	-0.06556
-1.22223	2.81735
1.764775	-3.23039
0.755282	-0.42072
0.433963	0.765075
-0.20218	-0.2271
-0.20847	3.983168
-2.13201	0.985287
-1.77176	2.534415
0.174334	-0.29406
-0.27638	0.249547
2.532893	-3.93142
1.123813	0.397043
0.454393	0.24149
0.636727	1.78407
-1.77351	2.662219
0.116957	1.352566
0.687951	-1.18965
-0.22061	2.819982
-0.45708	-0.57768
-0.11871	-1.17774
-0.66215	1.719685
-0.31487	-3.43913
-0.61864	-2.64387
-0.60736	-1.44915
1.15426	0.073893
1.883754	-2.78677
-0.55645	0.334446
1.170672	-3.06459
1.507606	1.080842
-3.71511	3.032351
1.240305	-1.27318
-1.51683	0.303691
0.207294	2.047722
1.595877	-1.66778
-2.263	3.312091
-0.3468	-3.34125
0.222467	2.058085
0.831075	-3.91788
-0.79746	-0.32243
1.222121	-0.11787
1.539166	-3.15856
-1.35357	0.131221
1.186542	-0.82476
0.734731	2.710663
-0.40936	-1.43634
1.689167	-3.05052
-0.72638	1.746402
-0.62117	0.632813
-0.96957	1.158591
-0.12195	-0.83299
1.647969	-2.27417
0.949735	1.934751
-0.54891	-0.72912
1.258917	-2.53721
2.030653	-1.08145
0.13883	-2.78615
0.533737	-3.61952
1.573453	-2.88711
-1.70723	1.953953
-0.19305	-2.42826
-0.72706	-2.892
-1.61773	2.780977
1.104765	-2.88622
0.231284	3.49964
0.817225	0.418744
0.077176	3.716117
-0.9476	3.707456
0.966468	-2.34882
0.692305	0.057833
1.408154	0.956986
-1.37572	0.840959
0.055633	-2.05139
-2.00999	1.757854
-0.74857	-2.35208
-1.11561	-0.11132
1.222791	-1.04933
3.085686	-3.73996
-0.20022	-2.59061
-1.19197	1.519927
-1.01597	3.682001
-2.27898	2.242933
-0.58778	-0.41815
-1.71165	2.882716
-1.10295	-0.3154
-0.03373	0.917527
1.13664	-1.92227
1.20337	-1.0494
-0.0416	2.226817
2.506369	-2.1802
0.439931	-0.79521
2.032286	-3.55624
0.402888	1.58784
-0.3002	-2.07221
0.780138	-3.23055
2.393765	-3.43434
-0.96603	1.870552
-0.18011	-2.22765
0.206778	-2.22046
-0.57762	3.670009
-1.15905	1.079536
-1.27403	2.850268
-1.25153	0.656548
-1.71022	1.747141
-0.34701	2.763833
-2.74647	3.768278
0.767263	-0.75044
0.492292	3.343068
2.210781	-2.67198
2.468511	-2.33553
-0.18253	0.24541
-1.79122	1.041596
-2.36061	3.087897
-0.06463	0.729625
1.061959	2.067097
1.152395	0.142844
1.678222	-1.34346
-1.86893	0.074475
0.621465	2.498234
-1.19323	-0.3874
-0.91259	1.574582
1.203598	0.797309
0.810404	0.279883
-1.09775	0.482549
-1.112	3.786059
1.494098	-1.77256
0.002342	-0.47634
0.482652	3.135412
-0.61406	3.615051
1.796138	-1.32107
0.620193	0.315547
0.938339	-2.04621
-0.42692	3.858365
1.507191	-2.1891
-0.58747	1.517807
-0.86799	3.141617
-1.62255	1.779551
2.383119	-2.73143
0.958168	3.554526
1.848668	-2.41755
0.868903	0.854592
0.076535	1.353146
-0.42627	3.910873
0.65345	-0.10306
2.055625	-1.44194
-2.38177	1.94475
0.257691	2.017448
0.7436	-0.95613
-1.94778	0.73765
0.98546	0.563084
-2.04111	-0.40144
-0.62179	1.154641
0.36835	2.016826
-2.30742	2.935092
-0.56329	-1.95577
-0.92525	3.649607
0.80571	-1.84362
3.048533	-3.28464
0.66699	2.358611
-3.00181	2.595302
-1.59997	1.330802
-1.37578	1.524589
-1.38999	1.537888
0.703873	-0.21939
-0.03662	-3.10398
1.662527	-2.9786
-2.29211	3.593929
1.96842	-3.09624
0.017296	-0.60983
-2.34903	3.730056
2.401601	-1.38878
-1.95825	-0.08743
-0.06859	-3.49491
1.656445	-3.80027
1.980958	-1.3498
0.544397	3.642679
2.019445	-3.12024
0.483072	-3.73834
-1.16382	3.542329
2.32204	-3.71021
-0.81593	1.643395
2.670519	-0.66948
0.600379	-0.53335
0.442387	0.806869
0.856526	-3.50058
-1.82318	3.996878
0.310393	-2.94907
-2.18424	3.699407
1.046086	-1.35525
-2.18406	2.766317
0.813259	3.36368
0.659094	2.010233
1.379902	0.023962
0.299935	3.446874
-0.85023	-0.35908
-0.13059	-2.92638
1.729036	-2.89262
0.248861	3.260611
0.51182	2.160864
2.40728	-3.81909
1.292113	-0.08325
-1.60011	1.697805
1.102813	0.369568
2.212621	-2.3004
0.572244	-2.17327
-0.62447	-1.1585
-0.30594	0.155222
-0.19724	1.289721
-3.44386	3.604568
0.271405	-3.51621
0.24186	0.696279
0.050071	1.967095
1.083704	2.290969
-0.79284	0.773122
-0.14133	-1.46009
-0.03104	-2.85875
-0.21323	-0.60695
0.303097	3.58052
1.368823	-0.60336
-2.7842	3.61483
-2.29798	2.15754
0.594998	-1.16328
0.076027	-2.03484
-3.27421	3.589169
0.000125	3.84757
-1.21804	-0.88318
0.951794	2.380141
-2.53114	3.404662
-0.86252	-1.26996
0.98439	0.355061
-0.60971	2.960251
-2.1409	3.508342
-0.6787	-3.18987
-0.74656	-0.41628
0.149418	0.593328
1.637534	-3.95236
0.699565	-3.12282
0.509849	-1.94668
-0.23402	-0.25209
1.410766	-0.14329
-0.28759	0.602725
-1.81891	0.438563
1.305461	-0.24178
1.550156	-0.07471
0.419142	-2.05993
-0.71034	1.610065
-0.1901	-3.11533
-1.20097	-0.14695
-1.07425	-0.55064
1.890805	-1.36047
0.51167	0.889869
-1.26868	1.140581
0.671969	1.523613
-0.19093	-3.14814
0.985911	1.622563
-1.11254	1.135078
0.63092	0.441044
-0.94513	3.658197
0.456224	-3.51869
1.096939	-1.4806
-0.26194	-0.8264
0.714011	1.538291
-0.38884	0.297481
-2.73081	2.558499
2.64699	-3.01611
0.946148	1.760848
-0.03977	-1.22035
-0.03617	-0.28037
-0.86169	3.768944
-1.99314	-0.47672
0.270533	-3.6652
-0.6083	-1.25764
-0.66984	1.298412
-2.10664	-0.47593
1.077231	-0.14182
1.667741	1.470957
1.446238	-1.91432
-0.46953	-1.80451
1.34381	2.370278
0.740867	-0.31042
2.01269	-1.91944
0.330314	-0.84741
0.847779	1.028205
-0.2223	2.506019
2.305699	-3.57633
-1.7015	-0.26431
1.959596	-2.70746
-1.53526	0.960416
2.348532	-1.62663
1.737605	-3.98768
1.034786	-0.67577
0.22044	3.241593
-1.29392	-1.99446
2.285631	-3.10276
4.464706	-2.72161
-0.66414	-2.61207
1.002324	0.249481
-0.92891	-1.94144
-0.72526	0.685835
-0.13742	3.333963
1.955983	1.070523
2.101597	-3.51791
-0.75815	-0.9729
0.106399	3.999194
0.304355	0.830158
-1.4965	3.351233
-0.54982	2.905312
-0.31328	0.132117
1.496648	-3.40778
-0.49168	1.132755
-0.16283	2.37751
-0.21375	-2.35207
0.01334	-2.65904
0.800673	1.303798
0.793338	-1.28413
1.068274	-0.92576
2.060796	-1.42029
1.203033	-1.03892
-1.43422	-1.88167
-0.1505	-2.63884
-1.81313	1.335028
0.227403	-1.12791
-0.7938	-0.08981
0.920607	-2.04867
0.872034	-1.69922
1.402727	-0.61729
0.992676	1.913666
1.176389	-1.07261
0.020627	2.201347
-2.01005	2.27567
0.702624	1.113392
0.45201	-3.75925
-0.5601	-3.24739
0.319059	-0.89174
-1.2783	2.553463
-1.37814	-2.15983
-1.3077	0.232695
1.159109	0.53349
-0.30071	-1.57167
-1.8322	-0.24193
-0.30987	-3.35908
-0.46005	0.636019
-0.6714	0.357635
-0.74744	-3.54975
1.079475	-0.48678
1.139109	-0.94754
-0.06181	3.105099
0.654931	-1.75544
2.610095	-3.4794
0.215034	-1.47165
1.384688	-0.84267
-0.95606	0.391612
-0.9214	1.13155
-0.07332	1.797177
-1.07779	-0.82709
-0.82217	-1.95514
-0.25309	-0.23055
-0.37023	-1.84614
-0.62661	-0.91064
2.665282	-3.12962
1.291723	-1.50173
0.480361	1.903193
-0.1816	-1.84569
-1.14341	0.031165
-2.08066	2.405017
-0.48276	0.03234
0.9964	-0.30468
0.437697	-0.78859
-0.35201	-0.06639
-0.3209	2.6293
-1.45964	3.78903
-0.57489	-1.17057
-1.35819	2.13442
0.180863	-2.54479
0.136936	2.693052
-0.14817	-1.53759
-1.44686	2.030926
0.471388	-3.82903
-1.1059	0.99516
-1.33267	2.935537
-0.4404	1.998843
-0.36892	2.581606
-1.23734	0.436077
-0.83364	-0.07118
0.641461	0.91648
-1.05893	-0.74309
0.131259	-1.96566
1.481496	-0.2116
-1.43319	0.444186
0.944618	-2.35769
1.174973	-0.79659
0.611416	-3.00583
-1.36795	-2.15157
-1.69088	-0.23642
2.032542	-1.27211
0.286038	0.510079
0.398067	-2.3142
3.727411	-3.36996
1.810382	-3.16788
0.441439	0.068307
-1.14257	3.342178
1.040512	-0.74988
-0.00112	0.150588
2.331264	-2.84086
3.148813	-3.3353
-0.37498	-0.68921
-0.17212	2.196082
1.015856	-3.73473
2.334497	-1.20848
0.035351	2.242794
-1.44816	3.524656
0.53895	-2.34875
-0.47194	-0.8447
1.020668	-1.78766
0.843805	-2.51658
-2.13187	3.313184
-0.69198	0.844806
1.054981	-1.42764
1.575628	0.742287
0.831139	1.059755
-1.27296	-1.35255
0.2495	-2.55026
0.188279	1.877223
-0.69785	3.52783
0.106383	-2.65363
-0.5556	-0.37198
-1.11191	-0.22243
0.087579	-1.95003
2.899083	-0.6499
-2.35135	1.725672
-0.77268	-1.36967
1.240138	-2.3027
0.589949	-1.70765
-0.07494	3.613633
-0.21124	-0.52079
1.615566	-2.13767
-1.01995	2.739506
1.761298	-3.04978
-0.65311	-2.73659
-2.19325	2.095293
0.023777	-1.21876
-2.93061	3.283891
-1.82314	3.921189
0.406673	-1.6896
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