The Following exercise needs to be done in R

The data sample contains 2 columns of variables: predictor df$x and response df$y.

Calculate standard deviations of df$x and df$y and their correlation coefficient. Round all values to the second decimal and use them to calculate the slope aa without fitting linear model to the data.

Leave aa not rounded. Its value will be checked up to the 3 decimal places.

Create variables:

• sdX - Standard deviation of df$x
• sdY - Standard deviation of df$y
• cXY - Correlation coefficient of df$x and df$y
• a - slope of the model y~x

Create variable result as data.frame:

result <- data.frame(sdX=sdX, sdY=sdY, cXY=cXY, a=a) 

x	"y"
-4.580105975	1.862009
1.169849306	0.301558
1.463822898	0.295791
1.894999461	-0.61629
2.732642132	-0.28708
-2.555976994	1.232498
-2.704495599	0.364069
-6.058329346	4.59499
-4.497799452	2.074263
-2.020835898	0.558425
-3.403759055	1.54979
-3.118743762	2.748683
-1.456847982	1.33325
-0.806095239	0.539533
0.161994946	-0.97108
3.109739266	-1.33671
-3.844280527	3.232972
-7.11052216	-3.90299
-0.553090038	-0.63543
0.188900926	0.281356
-2.257168926	2.446806
-1.68326105	0.803238
-2.691218793	0.665435
-0.008433014	0.011814
-0.705604374	-0.22441
3.24577258	-1.38982
0.27949668	-1.56695
1.328159882	-0.74496
5.799827468	-3.12493
-3.443393198	-2.23951
-6.039236459	3.9548
7.124116378	-4.64305
0.285803925	-0.15075
1.568966045	0.151737
0.348004994	-0.00679
6.367526157	-4.42834
-0.702090076	0.09491
-0.042713447	-1.37547
-3.213970883	1.102417
2.113767814	-2.29003
1.068643629	-1.35632
1.525509426	-2.19705
0.900789267	-0.42763
0.456083514	1.584151
-1.54844935	0.717014
-3.794743101	2.485933
0.39018939	0.133258
-0.867969431	-0.64891
2.141022867	-1.0246
-0.878789204	-0.04956
-5.569106763	2.850055
-1.489810364	0.029564
-0.669135453	-0.4799
-2.168573092	1.650914
-1.321723889	3.208077
1.595524113	-0.36623
0.88126988	-0.62528
0.94744536	-0.0229
0.506630875	-0.72948
-0.644177985	1.08061
4.682333786	-4.81078
1.977087994	-0.89115
-3.573395693	1.052129
-1.722667395	0.949867
1.309564916	-1.97297
-1.548645719	-0.05387
-5.503047887	3.644895
1.108402691	-1.20755
-2.73335436	1.859938
4.00111963	-2.70403
2.999257885	-0.64235
-3.399888504	1.785394
-0.677204377	-0.60151
-0.649658909	0.88513
-3.29078651	2.247073
0.326136106	-0.66621
3.632683929	-0.2745
3.316094155	-1.30789
-0.93641228	0.572423
2.219535622	-3.12962
-2.626584348	3.162738
-2.621841495	1.810285
4.856896468	-3.05679
2.35288131	0.822928
0.668437767	-0.69243
-0.324568191	1.839135
4.178883281	-3.93045
-3.446977562	1.671147
-1.3215445	-0.86271
0.969707133	0.028234
5.43326111	-3.62513
4.329930303	-2.91502
3.61873633	-0.15337
4.266315595	-2.02871
1.631926133	-1.96691
1.06287601	-1.97318
1.172295381	-1.9808
5.179054744	-3.01887
-1.144067088	0.511426
-5.065309181	2.533268
-1.026087757	0.671528
-0.992306877	-0.71021
3.909518139	-3.20679
-0.402090731	0.774027
4.106268141	-1.58847
3.474334076	-1.16034
2.797066883	-1.43612
3.191460491	-3.94888
0.373167012	-0.32765
1.102190704	-1.25481
1.004148639	0.173268
2.163279394	1.780105
1.937548083	-1.1923
-3.074563413	3.551033
3.862253853	-2.19233
-1.602889919	0.959459
-1.881828573	1.524636
2.411316722	-2.05854
3.232345281	-1.52512
4.171295082	-1.27829
-0.630209454	0.10796
-1.910727955	-0.3279
3.365995704	-1.02714
0.419977473	-1.21464
1.847943513	1.029426
2.202465679	-2.31961
-1.950064431	0.33519
-1.473983332	1.193414
-1.294810463	-0.56496
-1.01366972	-0.98484
0.411430731	-1.31129
-3.638041489	3.315197
-2.572745753	2.078727
1.355176388	0.782524
-0.511288466	-0.53233
-4.758535803	2.412722
2.555750817	-3.8919
1.980332762	-1.59787
0.030318204	1.350853
-0.823932873	-0.05368
1.549363409	-0.26091
0.510656985	-0.40595
-0.392448443	-0.53892
1.568126808	-0.63291
1.985980388	-0.93488
-0.980894113	0.23838
-2.102903932	0.609626
-0.948024788	2.067139
3.218471792	-1.1605
-1.088324629	-0.67021
2.30928361	-0.08711
-2.635104084	-0.64153
1.269368288	-1.72318
-0.208372997	0.381553
0.50858735	-1.01073
1.464870521	-0.48009
2.196477035	-3.09304
-0.479586988	2.34789
-0.18825806	-0.40191
0.446718675	0.228683
3.07142731	0.574517
-2.659242414	3.667996
4.120728734	-3.52969
1.384685079	-1.13121
0.441913635	-3.10573
7.004153125	-4.64344
-2.864238187	2.511601
-0.222487814	0.258696
-0.561633186	0.290168
1.170481655	-1.80248
-2.082359772	-0.85877
1.333854267	-1.23509
1.375967866	-1.77707
-2.469044032	1.25952
-0.910702034	1.259832
-0.176958822	1.394713
2.97173692	-5.81417
0.404382368	-0.3977
0.884237672	-0.68301
-4.122827382	1.859583
-0.859293337	1.766374
4.45431779	-1.56829
0.56239562	0.056032
2.255643616	-2.60215
-1.689957893	1.165172
-1.051195711	1.963693
1.066402581	-1.41007
1.468277602	-1.27132
0.344138447	-0.5425
0.89226707	2.319104
-2.998364005	2.28633
4.06242912	-1.74775
2.947689288	-1.30127
-0.42680517	0.601261
2.678487119	-2.43361
4.041136005	-2.11148
-3.254580388	2.164417
-1.167593066	0.884416
4.724021063	-3.06889
-0.528680649	-2.1482
-0.36146749	1.757813
-0.945241485	0.69006
-3.291614354	3.381159
-1.869228621	1.594385
-4.276481683	5.432707
5.686073005	-2.65815
3.802259974	0.577733
1.201581464	0.426032
0.126783737	-3.0744
-1.97614466	0.407178
-1.124270865	0.39295
1.543154284	-1.2115
3.343810005	-1.60209
1.430512113	-1.28981
-1.705612036	0.10894
6.957187281	-5.49697
-2.679801187	1.38928
-0.287258272	-0.00091
-0.304295071	-1.18215
0.280488314	-1.0116
1.378729898	-1.44938
0.321116057	0.387599
-1.876598316	0.418775
-2.164412141	1.69134
1.776391527	-2.37599
-5.802221949	2.033517
1.993994249	-1.62122
-2.037249402	0.292294
-0.530896989	-0.31157
5.091408375	-3.53078
-3.944443317	1.543686
0.349430726	0.498146
1.892410313	-1.29753
2.866119505	-1.3178
0.900935249	0.285156
2.566842826	-2.40366
1.756563483	-0.27888
-2.03803986	2.417447
5.476880175	-2.98388
-1.771058787	1.410303
-0.97415218	-0.55598
2.113949741	-0.60238
2.068682408	-1.28783
4.370580009	-5.84892
3.006323997	-2.17107
-1.547264562	3.141742
1.77803716	-2.01406
-2.410524791	3.304291
-1.633211121	0.052036
-3.386704702	3.254
3.967474133	-1.33553
3.198599347	-3.73902
0.219379316	0.956403
-4.23008596	2.313185
-1.999995863	0.299082
0.615915049	-0.33332
1.793558163	0.017228
-0.825479035	0.320747
-2.55143953	3.69962
-2.238167069	1.158382
-0.696867414	0.3128
-3.506033947	-0.50866
2.043723115	-2.12054
-3.970164851	3.089383
-2.062978893	-0.1198
1.166573944	0.123098
2.274764733	-2.39957
0.665176111	-1.16958
1.734722396	-1.45905
2.759572307	0.093557
3.247481975	-2.38468
3.70542641	-1.04753
-2.96040153	3.235644
-0.52786216	0.556726
0.376916697	1.125126
-4.475266871	4.490599
4.600122627	-2.82242
0.473176822	-1.67658
-0.384133053	0.02376
-0.580060653	1.018842
6.790215543	-2.12121
5.561520955	-3.10761
-3.172074208	0.555942
4.565016188	-4.08466
0.349981652	-0.70895
3.318035601	-0.78259
-0.404357162	-1.44273
1.010356244	-1.24503
-0.713723437	-0.6399
-3.324862005	1.657036
4.274918957	-3.51861
0.28574326	-0.14683
0.190089879	-0.26328
5.251398772	-4.0827
-4.446914336	1.455894
-1.380247465	1.19387
2.159719016	-3.17767
0.87906695	-2.13519
-3.823197949	2.154785
3.069767037	-1.70674
1.737265957	-0.61801
6.013614699	-5.65298
1.967464223	-0.33645
5.923366016	-1.48444
-2.600470916	1.278436
0.798389049	0.527364
-3.186848273	3.030621
3.134061147	-4.37992
1.790867715	-2.53495
1.549959187	-2.84711
-1.096203055	-0.06619
0.199923278	1.06199
2.237942098	-1.14608
-4.049634437	3.740396
-1.652165653	3.741061
3.882922289	-3.26626
4.042794387	-3.00049
-0.138977659	1.280222
-6.15599327	2.212196
-1.447222248	0.608647
0.071076873	0.111889
-1.363301204	2.348288
-2.520075581	1.946729
-1.364323643	0.62501
2.542911416	1.259979
2.411184629	0.25786
-2.375632002	1.530576
-3.642801456	2.376525
1.533991082	-0.55648
-2.474028794	3.228145
2.886106594	-2.01599
3.345332805	-0.21457
3.211023574	-1.75225
-1.532230679	1.084874
-3.122872905	1.8416
-1.640161001	-0.7042
-1.027875933	1.220276
-8.000074277	5.452023
1.493942402	0.568018
4.797656761	-2.5809
0.343558521	-1.92781
-1.41492916	1.094269
-2.24683653	-0.15647
-0.848655165	0.538572
0.465810083	0.656507
0.849031805	2.140456
2.41039113	-1.51498
0.961191027	0.52683
-3.209368176	2.044804
-1.51932461	0.238524
1.759156673	0.372608
2.143026106	-1.88107
0.607376452	-0.23495
-5.886440605	4.018081
-0.498806402	-0.05169
0.106790735	-0.7661
2.569795885	-2.17378
-1.044272375	-0.82622
-3.643583125	1.339149
4.656902013	-2.17328
-0.609504163	-0.90043
-1.641263434	0.411405
-3.476972376	0.174728
-2.086749793	0.676121
-3.282588963	0.84837
-5.035063798	2.290203
3.518787987	-1.24638
0.087333695	-0.39296
-0.785243332	0.305509
-1.456991211	-1.52985
0.288403152	-0.05315
-6.531205577	5.232002
-4.773431565	2.813706
1.711982365	1.117655
7.201168753	-3.48876
-5.452277862	1.022405
-1.127655095	0.290962
-1.835884315	1.962068
0.542949342	-0.43881
0.766281595	0.68782
-1.107879746	0.885335
-3.058530595	1.358796
4.629532062	-2.70222
0.279342741	-1.15944
-0.488544126	1.680554
2.082660293	-2.51474
-6.969218013	5.292884
0.183541431	-0.42105
-2.73648128	1.846357
-0.485746619	-0.50748
1.686652184	0.434833
3.618765705	-0.98821
-4.349133424	1.533809
-1.814202726	0.356284
5.428868424	-4.63031
-0.753160831	2.493575
-1.344555218	2.290731
0.324828578	0.096182
-1.806894729	0.115043
-0.707580595	3.16881
-5.404602279	4.459422
-4.229387412	2.243822
-0.378958737	1.587403
-2.389689319	3.565667
-4.29625357	2.344088
-0.985138715	-1.54144
-2.570097643	2.470235
2.853815256	-1.9205
1.958701409	-1.82103
-6.284804671	5.437104
-2.914274988	3.209931
4.941366255	-3.30754
1.642413654	-0.57851
0.307493877	-0.20637
0.961247695	0.913926
2.801483328	-2.05794
-3.830431715	3.073604
-4.395307928	2.507597
2.154515314	-2.14937
-2.735117324	0.418605
4.554143071	-2.59261
-0.538659352	-1.89489
-1.916951828	2.640481
0.825185956	-0.35621
-2.688820808	2.63167
-1.878868347	2.267747
1.071258082	0.722526
-4.336971201	3.240094
-1.956077641	-0.62154
-0.661335656	-0.99824
-1.52399692	-0.07658
2.228517368	-2.53201
-1.953104727	0.431233
-2.003904146	3.106306
4.351592935	-0.91521
0.697043365	0.554333
-8.24598762	5.586733
2.319498406	-1.29883
0.330511589	1.205867
0.060642937	-0.77152
1.524502671	-2.81212
-0.869045407	0.137672
1.024455642	-0.12118
3.288476213	-1.51169
4.043196848	-0.06893
1.390386819	-2.09517
4.649714961	-3.99543
0.492390022	2.332886
1.684536313	-1.32255
-3.533643626	2.64154
-1.201191451	1.860143
-1.66656322	3.364802
-1.926220382	0.453466
0.420475636	-2.88607
0.885562293	-1.33813
2.182951675	-1.66865
4.506192918	-2.9591
-2.384689753	-0.56408
0.807207664	-1.72312
0.484843278	-1.75512
2.242903764	-0.5323
1.912484563	-1.34327
2.261695936	-0.58143
-0.006995365	0.299156
0.243327919	0.58081
-5.308051786	4.015131
3.584932366	-5.77553
-1.662062199	0.44093
1.370715192	-1.1428
-0.469930708	-1.38863
-3.112317281	1.718145
-1.592051532	0.86515
2.497265257	-0.24466
-5.443515858	4.257841
-7.309363307	4.233518
0.573766004	1.108954
-0.318705663	-0.90363
1.084568225	2.28752
-0.511083569	1.949324
-0.349670343	1.500669
3.829552408	-1.91728
2.344750251	-2.23184
0.067676547	1.339973
8.938814844	-4.44489
1.979299757	-1.26981
0.772702369	0.275107
3.151926398	-3.30603
4.594678005	-4.18925
3.796542485	-0.46951
0.848763687	0.010474
3.626508871	-3.22852
0.253083403	0.032191
-0.354677079	0.095137
3.909413978	-3.20518
0.020228353	2.345598
6.358094386	-3.11691
0.306919369	-0.41468
-1.454689363	1.180947
8.123955828	-4.33132
-1.370345032	0.410238