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 number of degrees of freedom for error is __________.
A)1
B)4
C)34
D)30
E)35

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 number of degrees of freedom for error is __________.
A)1
B)4
C)34
D)30
E)35

Quizplus · Accepted Answer

The degrees of freedom for error in an ANOVA table for regression analysis is calculated as the total number of observations minus the number of parameters estimated (including the intercept). Here, n = 35 (total observations) and there are 4 independent variables plus 1 intercept, making 5 parameters in total. Thus, the degrees of freedom for error = 35 - 5 = 30.

The Following ANOVA Table Is from a Multiple Regression Analysis