50. Alternative formulas for defining the Pearson correlation use the data in formulas similai to the one for b: - 11 Roughly, the correlation is the average cross-product of the -score for X times the 2- score for Using this formula, explain why

(a) the correlation has the same value when X predicts Y as when Y predicts X.

(b) the correlation does not depend on the units of measurement. (Note For the population, the correlation is often defined as Covariance of X and Y (Standard deviation of XXStandard deviation of Y) where the covariance between X and Y is the average of the cross-products (X-x) (Y-My) about the population means.)