If the coefficient of determination is a positive value, then the regression equation _____.
A) must have a positive slope
B) must have a negative slope
C) could have either a positive or a negative slope
D) must have a positive y-intercept

Question

Quizplus · Accepted Answer

The coefficient of determination, denoted as R^2, measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s). It does not indicate the direction of the relationship (positive or negative slope) between the variables, only the strength of the association. Therefore, the regression equation could have either a positive or a negative slope.

If the Coefficient of Determination Is a Positive Value, Then