In order to test the significance of a multiple regression model involving 4 independent variables and 25 observations, the number of degrees of freedom for the numerator and denominator, respectively, for the critical value of F are 4 and 20, respectively.

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This statement is true. In a multiple regression model with k independent variables and n observations, the numerator degrees of freedom for the critical F value is equal to k and the denominator degrees of freedom is equal to n - k - 1. In this case, k = 4 and n = 25, so the numerator degrees of freedom is 4 and the denominator degrees of freedom is 20.

In Order to Test the Significance of a Multiple Regression