In order to test the usefulness of a multiple regression model involving 5 predictor variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 4 and 24, respectively.

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In a multiple regression model, the numerator degrees of freedom for the F-test are determined by the number of predictor variables, which is 5 in this case. However, the denominator degrees of freedom are calculated as the total number of observations minus the number of predictor variables minus 1 (for the intercept), which would be 25 - 5 - 1 = 19, not 24.

In Order to Test the Usefulness of a Multiple Regression