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y x1 x2 x3 x4 x5 1.764742 0.925627 1.204426 0.949487 0.921375 0.95883 3.209386 0.459292 1.420216 -0.31113 0.967812 1.251093 -1.39327 0.844528 -0.63477 0.971616 0.020121 -0.22482 3.289348

y x1 x2 x3 x4 x5
1.764742 0.925627 1.204426 0.949487 0.921375 0.95883
3.209386 0.459292 1.420216 -0.31113 0.967812 1.251093
-1.39327 0.844528 -0.63477 0.971616 0.020121 -0.22482
3.289348 0.946019 0.641351 1.06961 0.717315 0.612031
2.728297 0.024489 1.213368 0.26171 0.681006 0.864209
2.931713 0.432761 0.775827 0.218811 0.626858 0.709733
2.83512 0.480562 0.644587 0.388986 0.469796 0.645092
0.958252 0.520474 0.054263 0.552978 0.293937 0.08246
0.188044 0.159452 0.745274 0.11749 0.511549 0.817459
1.219226 0.081968 0.848993 0.467001 0.623423 0.703264
0.251393 0.225645 -0.84555 -0.0049 -0.21876 -0.43185
1.365772 0.366562 0.224205 0.397392 0.28631 0.342684
0.748657 0.406981 0.697535 0.125659 0.545556 0.642054
1.38696 0.005105 0.507973 -0.4869 0.332372 0.543803
1.247906 0.016789 0.848644 0.22435 0.546885 0.617486
0.89561 0.776078 1.184036 0.538567 0.968943 1.095906
0.498229 0.778013 -1.41902 0.64159 -0.3372 -0.78263
1.497927 0.52567 0.949449 1.052474 0.807907 0.812439
-0.31342 0.623774 -0.01011 0.38429 0.242468 0.144682
0.152737 0.991016 -0.73348 0.746647 -0.06404 -0.38415
0.827145 0.728791 0.344787 1.013139 0.57113 0.312153
0.052794 0.509823 -0.15418 0.23252 0.121571 -0.02157
0.683206 0.816723 -0.78412 0.854813 -0.00938 -0.32402
-0.21236 0.213462 -0.37843 0.210443 0.050675 -0.21434

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For fourth question for hat and and the for the fifth question beta hat of PCA calculated.

(4) (10 pts) Find using only 4 principle components. (5) (10 pts) Now suppose we want to keep m components where m is the smallest integer for which ? >0.9. }-1\} Find m and the corresponding Bpca (4) (10 pts) Find using only 4 principle components. (5) (10 pts) Now suppose we want to keep m components where m is the smallest integer for which ? >0.9. }-1\} Find m and the corresponding Bpca

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