Question: Consider the p = 4 process variables in Table 11.6. After applying the PCA procedure to the first 20 observations data (see Table 11.7), suppose

Consider the p = 4 process variables in Table 11.6. After applying the PCA procedure to the first 20 observations data (see Table 11.7), suppose that the first three principal components are retained.

TABLE 11.6 Chemical Process Data Original Data x1 10 10.5 9.7 9.8 11.7 20.7 19.9 20 20.2 21.5 20.9 18.8 19.3 19.4 19.6 13.6 18.1 16.1 19.1 19.8 10.3 16.9 15.3 16.2 13.6 15.5 14.8 16,5 17.1 18.3 13.8 16.8 12.2 15.8 14.5 0.291681 0.294281 0.197337 0.839022 3.204876 0.203271 0.6034 0.491533 0.640937 1.469579 0.879172 2.29514 1.670464 0.36089 0.560808 8.7 9.5 10.1 9.5 -0.99211 170241 -0.14246 10 0.99498 -031493

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