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Suppose we are working with n observations on r variables. For each variable, we compute transformed scores by subtracting its mean and dividing by its

Suppose we are working with n observations on r variables. For each variable, we compute transformed scores by subtracting its mean and dividing by its standard deviation. Which of the following is true about the transformed variables?

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their covariances are correlations

they have zero variance

their principal components are correlated

they will be normally distributed

the sum of their variances is n

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