The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables. $$\begin{array} { | c | c | c | c | c | c | }
\hline \text { Source } & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F & p \
\hline \text { Repression } & & 700 & & & \
\hline \text { Error } & & & & & \
\hline \text { Total } & & 1000 & & & \
\hline
\end{array}$$ The MSE value is __________.
A)8.57
B)8.82
C)10.00
D)75.00
E)20.00

Question

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables. $$\begin{array} { | c | c | c | c | c | c | } 
\hline \text { Source } & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F & p \
\hline \text { Repression } & & 700 & & & \
\hline \text { Error } & & & & & \
\hline \text { Total } & & 1000 & & & \
\hline
\end{array}$$ The MSE value is __________.
A)8.57
B)8.82
C)10.00
D)75.00
E)20.00

Quizplus · Accepted Answer

The total degrees of freedom is n-1 = 34. The regression degrees of freedom is the number of independent variables, which is 4. Therefore, the error degrees of freedom is 34 - 4 = 30. The total sum of squares is 1000, and the regression sum of squares is 700, so the error sum of squares is 1000 - 700 = 300. The mean square error (MSE) is the error sum of squares divided by the error degrees of freedom: 300 / 30 = 10.00.

The Following ANOVA Table Is from a Multiple Regression Analysis