A multiple regression equation includes 5 independent variables, and the coefficient of determination is 0.81. The percentage of the variation in y that is explained by the regression equation is:
A) 81%
B) 90%
C) 86%
D) 85%
E) about 16%

Question

Quizplus · Accepted Answer

The coefficient of determination (r-squared) measures the proportion of the variance in the dependent variable (y) that is explained by the independent variables in the regression equation. Therefore, if r-squared = 0.81, it means that 81% of the variation in y is explained by the regression equation, and the best choice is A).

A Multiple Regression Equation Includes 5 Independent Variables, and the Coefficient