Given the least squares regression line $\hat { y } = 2.48 - 1.63 x$ , and a coefficient of determination of 0.81, the coefficient of correlation is:
A)-0.66
B)0.81
C)-0.90
D)0.90

Question

Quizplus · Accepted Answer

The coefficient of determination (R²) is 0.81, which means the coefficient of correlation (r) is the square root of R². Since the slope of the regression line is negative (-1.63), r is negative. Thus, r = -√0.81 = -0.90.

Given the Least Squares Regression Line y^=2.48−1.63x\hat { y } = 2.48 - 1.63 xy^​=2.48−1.63x

Given the Least Squares Regression Line $\hat { y } = 2.48 - 1.63 x$