Given the least squares regression line $\hat{y}$ = -2.88 + 1.77x,and a coefficient of determination of 0.81,the coefficient of correlation is:
A) -0.88.
B) +0.88.
C) +0.90.
D) -0.90.

Question

Quizplus · Accepted Answer

The coefficient of correlation is the square root of the coefficient of determination, so we have $\sqrt{0.81} = 0.9$. The positive value indicates a positive linear relationship between $x$ and $y$, and the magnitude indicates a strong relationship. Therefore, the answer is (C).

Given the Least Squares Regression Line y^\hat{y}y^​ = -288 + 1

Given the Least Squares Regression Line $\hat{y}$ = -288 + 1