In a simple linear regression , the least-squares line is = -3.75 + 1.25 , and the coefficient of determination is 0.81. The coefficient of correlation must be -0.90.

Question

In a simple linear regression , the least-squares line is  = -3.75 + 1.25  , and the coefficient of determination is 0.81. The coefficient of correlation must be -0.90.

Quizplus · Accepted Answer

The coefficient of correlation (r) cannot be directly calculated from the information given. However, we know that r is the square root of the coefficient of determination (r^2). Taking the square root of 0.81 gives us r = 0.9 (not -0.9). Therefore, the answer is B (False).

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