In a multiple regression with six explanatory variables data

In a multiple regression with six explanatory variables, data are collected observations. What are the degrees of freedom for the ANOVA F test? Select one: 5 and 53 6 and 53 5 and 59 6 and 59

Solution

k = number of explanatory variables, n = number of observations.

df(numerator) = k = 6

df(denominator) = n - k -1 = 60 - 6 - 1 = 53

This is different from one way ANOVA for treatments where k = number of treatments, and df(num) = k-1