Question
tandardize the accompanying data set, and then perform principal component analysis. Click here for the Excel Data File a. What percent of total variance is
tandardize the accompanying data set, and then perform principal component analysis.
Click here for the Excel Data File
a.What percent of total variance is accounted for by the first three principal components?(Show your final answer as a percentage point with 2 decimal places.)
b.What are the weights for computing the first principal component scores?(Round your final answers to 4 decimal places. Negative values should be indicated by a minus sign.)
c.What is the first principal component score for the first observation?(Round your final answer to 4 decimal places.)
| x1 | x2 | x3 | x4 |
| -1.552272539 | -6.825797635 | 4.243252958 | 9.744243502 |
| 15.8069516 | 5.812264252 | -7.799706519 | -3.07344671 |
| -1.666213335 | 1.432105813 | -9.698185187 | -6.277207127 |
| 15.17371574 | 3.484750583 | -3.614180085 | 0.316266615 |
| -3.894894793 | -9.631608566 | -0.199809256 | -5.234990951 |
| -2.667063169 | -1.993281568 | 0.08759375 | -6.831009734 |
| 14.15060976 | 11.64478588 | -3.300265688 | 8.90457745 |
| -9.419606301 | -3.680966176 | -2.551225375 | -5.336370534 |
| -12.47799816 | 8.597902769 | -4.420920228 | 5.43392319 |
| 8.7284899 | -14.75076086 | -7.721999274 | 9.012977798 |
| -6.973628279 | -5.951821722 | 2.861809617 | -4.533169436 |
| 7.013722115 | -4.148672944 | -3.023671696 | -0.815201786 |
| 7.927749321 | -4.870845787 | 5.699000099 | 4.736714695 |
| 4.989662086 | 9.015287403 | 15.39222611 | -13.3682926 |
| -3.278942169 | -13.31598961 | -10.65986841 | 11.61656453 |
| -14.4423154 | -6.779159248 | 15.06843652 | 14.62266476 |
| 8.666047166 | -9.350094865 | -2.720482278 | -1.963925648 |
| -10.72162556 | -1.420273845 | 17.29346788 | 6.95093 |
| 9.008625036 | -6.644768253 | 16.8498427 | 10.54983559 |
| 15.66045513 | -8.41671546 | 7.349106614 | -6.539931504 |
| 4.771517292 | 2.154471859 | 4.362709427 | 12.61629452 |
| -7.797040863 | 12.71975243 | -12.19644658 | 2.660765214 |
| -1.993161219 | -3.9031915 | -3.415541835 | 5.198638855 |
| -3.265239004 | 10.08102101 | 3.705021433 | 16.29263583 |
| -3.054954562 | -9.906596448 | -11.08399949 | 11.126106 |
| -14.05028013 | -4.076046879 | -2.929605776 | -9.982304156 |
| -11.88178562 | 13.45203629 | -13.10783502 | -14.33773823 |
| -1.330859272 | -4.185259769 | 1.191909169 | -5.855190295 |
| 7.304701206 | 2.352128378 | -12.55737481 | 13.3064189 |
| -13.16855396 | -14.59018216 | -14.63989282 | -3.366299938 |
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College Algebra (Subscription)
Authors: Mark Dugopolski
6th Edition
0321916670, 9780321916679
