The following ANOVA table is from a multiple regression analysis: The sample size for the analysis is ___.
A)30
B)25
C)10
D)5
E)31

Question

The following ANOVA table is from a multiple regression analysis:  The sample size for the analysis is ___.
A)30 
B)25 
C)10 
D)5 
E)31

Quizplus · Accepted Answer

The sample size for the analysis can be found in the ANOVA table under the column labeled "df" (degrees of freedom). In this table, we can see that the degrees of freedom for the residual (error) is 19, which can be calculated as follows:
df(error) = n - k - 1
where n is the sample size and k is the number of predictors in the model. From the table, we can see that k = 10 (including the intercept), so we can solve for n:
19 = n - 10 - 1
n = 30
Therefore, the sample size for the analysis is 30, which corresponds to answer choice E.

The Following ANOVA Table Is from a Multiple Regression Analysis