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

Question

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

Quizplus · Accepted Answer

The correlation coefficient can be found by taking the square root of the coefficient of determination, so r = sqrt(0.7744) = 0.88. Since the least-squares line has a negative slope, the correlation coefficient must be negative, so the answer is A.

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