Question: The following table displays the weights for computing the principal components and the data for two observations. Weight PC1 PC2 x1 -0.84 0.43 x2 -0.41

The following table displays the weights for computing the principal components and the data for two observations.

Weight PC1 PC2

x1 -0.84 0.43

x2 -0.41 -0.83 x1 x2 Observation 1 5.30 345.70 Observation 2 4.20 257.30

a. The mean and standard deviation for x1 are 5.2 and 1.5, respectively. The mean and standard deviation for x2 are 381.4 and 120.7, respectively. Compute the z-scores for the x1 and x2 values for the two observations. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answers to 4 decimal places.) b. Compute the first principal component score for observation 1. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answers to 4 decimal places.) c. Compute the second principal component score for observation 2. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answers to 4 decimal places.)

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