In a simple linear regression problem,the least squares line is ,and the coefficient of determination is 0.81.The coefficient of correlation must be −0.90.

Question

In a simple linear regression problem,the least squares line is  ,and the coefficient of determination is 0.81.The coefficient of correlation must be −0.90.

Quizplus · Accepted Answer

The coefficient of correlation, denoted by r, is the square root of the coefficient of determination, denoted by R^2. Therefore, if R^2 = 0.81, then r = sqrt(0.81) = 0.9 (not -0.9). The statement in the question is incorrect.

In a Simple Linear Regression Problem,the Least Squares Line Is