X = 62,309 2,927 SE = 10,005.20 255.76 255.76 14.30 x 105. (i) Verify that the eigenvalues S are: Â = 1001174299.08 = an

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X 62 309 2 927 Se 10 005 20 255 76 255 76 14 30 X 105 I Verify That The Eigenvalues S Are A 1001174299 08 An 1 (177.61 KiB) Viewed 63 times

X = 62,309 2,927 SE = 10,005.20 255.76 255.76 14.30 x 105. (i) Verify that the eigenvalues S are: Â = 1001174299.08 = and Â2 = 775700.92 = and the corresponding eigenvectors are: 0.9997 0.0256 ei = and e2 = 0.0256 -0.9997 [3] [3] [1] (ii) Determine the sample principal components and their variances for these data. (iii) Find the total sample variance explained by the first principal component. (iv) Compute the correlation coefficients between the first principal component and X1 and X2. What interpretation, if any, can you give to the first principal component. ( [2]