Given the least squares regression line $\tilde { y } = - 2.48 + 1.63 x$ , 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 0.81. Since the slope of the regression line is positive (1.63), the correlation is positive, so R = 0.90.

Given the Least Squares Regression Line y~=−2.48+1.63x\tilde { y } = - 2.48 + 1.63 xy~​=−2.48+1.63x

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