A fitted multiple regression model yields an R² of 0.64.Interpret this value. A)64% of the independent variables used in the regression model are highly correlated and may falsely suggest a curvilinear relationship exists between x and y when the true relationship is linear. B)64% of the variation in the observed value of the dependent variable is explained by the regression model. C)The correlation between each pair of independent variables is 0.8 or -0.8. D)The fitted model predicts the dependent variable accurately 64% of the time. E)64% of the independent variables in the model are capable of accurately predicting the dependent variable.

Question

Quizplus · Accepted Answer

R² (or R-squared) measures the proportion of variance in the dependent variable that is explained by the independent variables in the model. Therefore, a value of 0.64 indicates that 64% of the variation in the observed values of the dependent variable is accounted for by the regression model. Choices A, C, D, and E are incorrect interpretations of R-squared.

A Fitted Multiple Regression Model Yields an R2 of 0

A Fitted Multiple Regression Model Yields an R² of 0