Based on the following regression ANOVA table, what is the R²? $$\begin{array} { l r r r r } \hline \text { Source } & d f & \text { SS } & M S & F \ \hline \text { Regression } & 4 & 1793.2356 & 448.3089 & 7.485401 \ \text { Residual } & 45 & 2695.0996 & 59.8911 & \ \text { Total } & 49 & 4488.3352 & & \ \hline \end{array}$$ A)0.1336 B)0.6005 C)0.3995 D)Insufficient information to answer

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Quizplus · Accepted Answer

R² (also referred to as R-squared) is a measure of the proportion of variance in the dependent variable that is explained by the independent variables in the regression model. It can be calculated by dividing the regression SS by the total SS: R² = regression SS / total SS From the ANOVA table, we know the regression SS is 1793.2356 and the total SS is 4488.3352. Therefore, R² = 1793.2356 / 4488.3352 = 0.3995 Thus, the answer is C, 0.3995.

Based on the Following Regression ANOVA Table, What Is the R2

Based on the Following Regression ANOVA Table, What Is the R²