A multiple regression equation includes five independent variables, and the coefficient of determination is 0.81. The percentage of the variation in that is explained by the regression equation is 90%.

Question

A multiple regression equation includes five independent variables, and the coefficient of determination is 0.81. The percentage of the variation in  that is explained by the regression equation is 90%.

Quizplus · Accepted Answer

The coefficient of determination, also known as R-squared, represents the percentage of variation in the dependent variable explained by the independent variables. In this case, the coefficient of determination is 0.81, meaning 81% of the variation in the dependent variable is explained by the independent variables. Therefore, the percentage of variation in the dependent variable explained by the regression equation is 81%, not 90%.

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