Determine the correlation between the X variables. Run the regression. Do you think that the results are influenced by the correlation between the X variables? Explain. What variables are correlated? Does a reduced regression perform better?

Y	X1	X2	X3
3.744984	0.991278	2.156081	0.442149
0.165387	0.072611	1.058162	0.522497
1.889897	0.685223	1.320653	0.283492
2.689705	0.480019	0.918236	0.543199
1.438374	0.289305	0.994883	0.454811
1.693758	0.755893	1.505948	0.22152
1.59349	0.55395	1.709773	0.899082
3.135021	0.585698	1.353009	0.523571
1.67908	0.346011	0.775433	0.612363
4.643924	0.873008	2.1871	0.634503
4.191547	0.523945	1.278723	0.929953
4.371174	0.822986	1.701972	0.808238
1.146424	0.775569	1.187062	0.11622
3.490061	0.72111	1.342696	0.313576
1.557603	0.248241	0.809623	0.017865
1.032864	0.159882	0.624242	0.004599
1.351594	0.303746	0.947968	0.345726
3.931412	0.944063	2.06782	0.737394
5.5923	0.868237	1.725721	0.446116
2.413044	0.43879	0.969116	0.880937
2.958589	0.7723	1.683476	0.712989
0.653397	0.574531	1.061188	0.179162
2.244257	0.019913	0.907675	0.358963
2.097918	0.043588	0.65576	0.9331
2.895668	0.465786	0.943389	0.183899
0.974205	0.00677	0.79291	0.430798
3.922855	0.771049	1.790576	0.538054
3.877688	0.960106	1.895304	0.464561
2.128687	0.913979	2.272201	0.516369
1.597458	0.169643	0.883295	0.758959
2.593595	0.586762	1.871229	0.751461
1.871369	0.71213	1.549456	0.314484
2.031697	0.736278	1.892389	0.52867
4.037605	0.661053	1.820982	0.226789
1.391363	0.326889	1.047126	0.433249
2.384215	0.94051	1.913259	0.047248
3.052267	0.943473	1.972987	0.084753
1.839467	0.553598	1.457559	0.782829
1.771488	0.599659	1.124359	0.012093
2.768589	0.657361	1.464508	0.687207
3.899192	0.490774	1.701142	0.332544
1.359127	0.150754	0.662456	0.711886
2.200765	0.21007	0.520949	0.911731
1.725886	0.321885	1.289901	0.581781
2.058225	0.320502	0.937762	0.852355
2.788164	0.383083	1.313504	0.238872
2.715686	0.614428	1.379605	0.043256
4.312705	0.945898	2.270985	0.945379
-0.37362	0.184485	0.951512	0.574787
4.066564	0.893257	2.09225	0.742055
1.962763	0.645977	1.069002	0.356904
1.274668	0.325317	1.216761	0.342499
2.209402	0.453255	0.899998	0.77016
2.666617	0.276319	0.575614	0.62806
4.920652	0.954459	1.796943	0.592813
3.934798	0.923464	2.001639	0.78388
4.329432	0.997427	2.158826	0.712353
2.671396	0.974279	1.603643	0.096982
1.838916	0.06997	0.26607	0.05096
2.502986	0.459345	0.790494	0.627489
2.460101	0.142854	0.451862	0.684915
3.8663	0.934649	1.631501	0.813426
0.93762	0.973251	1.560393	0.876906
1.901702	0.657837	1.338093	0.168525
3.933082	0.935743	2.009207	0.806826
1.99618	0.535733	1.332697	0.903275
2.439115	0.930641	1.829378	0.135694
3.002935	0.414184	0.919632	0.891018
4.975229	0.703729	2.051586	0.46015
0.221922	0.272001	0.796656	0.372428
1.062484	0.045661	0.869185	0.264501
2.752219	0.471208	0.794266	0.502264
1.568484	0.072429	0.565736	0.072019
-0.57254	0.75038	1.174587	0.681091
3.437461	0.805245	1.500163	0.149801
0.550662	0.105081	1.110432	0.857728
2.395975	0.294508	1.019758	0.533895
0.035101	0.087301	0.799774	0.086213
2.050246	0.458454	0.869903	0.705992
2.543598	0.75054	1.289236	0.870309
2.65241	0.760436	1.64734	0.531044
-0.09286	0.235665	0.811808	0.111979
3.024854	0.733098	1.727336	0.205719
2.79132	0.977275	2.041581	0.331281
0.629762	0.599217	1.513707	0.17054
1.561838	0.511239	1.270068	0.610807
2.917179	0.688465	1.909579	0.044343
3.054217	0.857412	1.460301	0.067141
1.042144	0.018699	0.172087	0.320935
3.499245	0.639758	1.812294	0.914496
1.808302	0.069887	1.009327	0.742797
-0.58187	0.215473	0.681058	0.267351
4.008449	0.221307	0.695935	0.884705
1.69766	0.6056	1.446549	0.55339
1.654506	0.090412	0.590018	0.862245
1.33017	0.499745	0.78635	0.374155
3.257918	0.827251	1.501269	0.414409
0.85194	0.209685	1.121109	0.405455
1.723932	0.677507	1.030771	0.676199
2.257073	0.417479	1.109253	0.793269