To test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are .

The degrees of freedom for the numerator on this case is given by where k =3 represent the number of independent variables.

The degrees of freedom for the denominator on this case is given by .

And the total degrees of freedom would be

And then the degrees of freedom for the numerator are 3 and for the denominator are 43 in order to find the critical value

Step-by-step explanation:

We need to take in count that we are conducting a regression model with just one dependent variable and 3 independent variables

The degrees of freedom for the numerator on this case is given by where k =3 represent the number of independent variables.

The degrees of freedom for the denominator on this case is given by .

And the total degrees of freedom would be

And then the degrees of freedom for the numerator are 3 and for the denominator are 43 in order to find the critical value

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