If the coefficient of determination is 81%, and the linear regression model has a negative slope, what is the value of the coefficient of correlation?
A)− 0.81
B)0.90
C)0.81
D)−0.90

Question

Quizplus · Accepted Answer

The coefficient of correlation, denoted by "r," is the square root of the coefficient of determination (r = sqrt(R2)). Since the coefficient of determination is 81%, then the coefficient of correlation is sqrt(0.81) = 0.9. Additionally, the fact that the linear regression model has a negative slope indicates that there is a negative correlation between the variables, which is reflected in the negative sign of the slope. Therefore, the best choice is D, −0.90.

If the Coefficient of Determination Is 81%, and the Linear