1) In this problem we write (X, Y) for the Pearson correlation coefficient of tw

Question

1) In this problem we write (X, Y) for the Pearson correlation coefficient of two quantitative variables X and Y. Suppose (X1, Y) = .56 and (X2, Y) = -.56. 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) The magnitude of the linear association between X1 and Y is the same as the magnitude of the linear association between X2 and Y.

d) 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.

Note: may be more than 1 possible answers, thanks!

Explanation / Answer

c) The magnitude of the linear association between X1 and Y is the same as the magnitude of the linear association between X2 and Y.

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