When the standard deviation of both the X and Y distributions are equal, then
A) the value of the slope equals the value of the correlation
B) the value of the Y intercept equals the mean of Y
C) the value of X equals the value of Y
D) none of these

Question

Quizplus · Accepted Answer

When the standard deviation of both X and Y distributions are equal, the slope of the regression line equals the correlation coefficient. This is because the standard deviation of X and Y appear in the formula for the slope and the correlation coefficient is a measure of the linear relationship between X and Y. The other choices are not necessarily true when the standard deviation of X and Y are equal.

When the Standard Deviation of Both the X and Y