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

In a simple linear regression problem, the coefficient of correlation is equal to the square root of the coefficient of determination, so we have:

r = sqrt(R^2) = sqrt(0.81) = 0.9

Therefore, the statement is false, as the coefficient of correlation is 0.9, not F1F1F1S1F1F1F100.90.

In a Simple Linear Regression Problem, the Least Squares Line