A multiple linear regression model with eight independent variables is being analyzed. The sum of sq
Question: A multiple linear regression model with eight independent variables is being analyzed. The sum of squares for error is found to be 810. The total number of degrees of freedom is found to be 35. The percentage of variation that can be explained by the multiple linear regression relationship between the independent variables and the dependent variable is 46% (0.46). Complete the following analysis of variance table in order to decide whether or not the regression relationship is significant at the 5% level. [COMMENTS & HINTS: Recall a ratio expression for the coefficient of determination \[\begin{matrix}
{{r}^{2}} & or & {{R}^{2}} \\
\end{matrix}\] involving the sums of squares. If the necessary critical value is not available in the probability table provided in the textbook, interpolate an approximate value or use technology (e.g., computer software or handheld calculator programmed with probability functions).]
| \[SS\] | \[df\] | \[MS\] | \[F\] | |
| Regression | ||||
| Error | XXXXXX | |||
| Total | XXXXXX | XXXXXX | ||
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