In a simple linear regression problem, the least squares line is = 2.73 - 1.02x, and the coefficient of determination is 0.7744. The correlation coefficient must be -0.88.

Question

In a simple linear regression problem, the least squares line is  = 2.73 - 1.02x, and the coefficient of determination is 0.7744. The correlation coefficient must be -0.88.

Quizplus · Accepted Answer

The correlation coefficient (r) is equal to the square root of the coefficient of determination (R-squared). Therefore, if R-squared is 0.7744, then r is the square root of 0.7744, which is approximately -0.88. Therefore, the answer is A) True.

In a Simple Linear Regression Problem, the Least Squares Line