Below is a partial multiple regression ANOVA table.
$$\begin{array} { l l l }
\text { Source } & \text { SS } & \text { df } \
\mathrm { X } _ { 1 } & 535.9569 & 1 \
\mathrm { X } _ { 2 } & 1,167.5634 & 1 \
\mathrm { X } _ { 3 } & 18.9886 & 1 \
\text { Error } & 3,459.6803 & 8
\end{array}$$
-What is the explained variation?
A)535.96
B)1,722.51
C)1167.56
D)18.9886
E)3459.68

Question

Below is a partial multiple regression ANOVA table.
$$\begin{array} { l l l } 
\text { Source } & \text { SS } & \text { df } \
\mathrm { X } _ { 1 } & 535.9569 & 1 \
\mathrm { X } _ { 2 } & 1,167.5634 & 1 \
\mathrm { X } _ { 3 } & 18.9886 & 1 \
\text { Error } & 3,459.6803 & 8
\end{array}$$
-What is the explained variation?
A)535.96
B)1,722.51
C)1167.56
D)18.9886
E)3459.68

Quizplus · Accepted Answer

The explained variation in a multiple regression model is the sum of the individual variations explained by each predictor variable. Here, it is the sum of SS for $X_1$, $X_2$, and $X_3$: $535.9569 + 1,167.5634 + 18.9886 = 1,722.5089$, which rounds to 1,722.51.

Below Is a Partial Multiple Regression ANOVA Table -What Is the Explained Variation? A)535

Below Is a Partial Multiple Regression ANOVA Table -What Is the Explained Variation?
A)535