(2 points) In this problem we write r(X, Y) for the Pearson correlation coeffici

Question

(2 points) In this problem we write r(X, Y) for the Pearson correlation coefficient of two quantitative variables X and Y. Suppose r(X1, Y) = .56 and r(X2, Y) = .72. Indicate which of the following statements is true.

a. The magnitude of the linear association between X1 and Y is greater than the magnitude of the linear association between X2 and Y.

b. The magnitude of the linear association between X1 and Y is less than the magnitude of the linear association between X2 and Y.

c. There is not enough information to compare the magnitude of the linear association between X1 and Y and the magnitude of the linear association between X2 and Y.

Explanation / Answer

The magnitude of the linear association between two variables X and Y is represented by the Pearson correlation coeeficient, r(X,Y).

Since r(X2,Y) = 0.72 > 0.56 = r(X1,Y). We conclude that the magnitude of linear association between X2 and Y is greater than that of between X1 and Y

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