In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degree of freedom (respectively) for the critical value of F are Select one: a. 14 and 255. b. 255 and 14. c. 13 and 240. d. 14 and 240.

The degrees of freedom for the numerator on this case is given by where k =14 represent the number of groups.  

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

And the best option would be:

d. 14 and 240.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have independent variables and on each group from we have individuals on each group we can define the following formulas of variation:  

And we have this property  

The degrees of freedom for the numerator on this case is given by where k =14 represent the number of groups.  

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

And the best option would be:

d. 14 and 240.

98%

step-by-step explanation: