Question: Use software to calculate the principal components PC1 = y1 = v11z1 + v12z2 and PC2 = y2 = v21z1 + v22z2. a. Create a

Use software to calculate the principal components PC1 = y1 = v11z1 + v12z2 and PC2 = y2 = v21z1 + v22z2.
a. Create a scatterplot of PC1 versus PC2. What is the correlation between PC1 and PC2?
b. Calculate the variance of PC1 and PC2 and explain how the variances of the principal components are related to the eigenvalues, λ1 and λ2.

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