Variables X and Y have r = 0.40. If we decrease each X value by 0.1, double each Y value, and then interchange them (put X on the Y- axis and vice versa) the new correlation will be
A) 0.60
B) -0.40
C) 0.15
D) 0.80
E) 0.40

Question

Quizplus · Accepted Answer

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. It is unaffected by changes in the scale or location of the data (such as adding or multiplying by a constant), and it remains the same if the variables are interchanged. Therefore, decreasing each X value by 0.1, doubling each Y value, and interchanging them does not change the correlation coefficient. The new correlation remains 0.40.

Variables X and Y Have R = 0