Exhibit 13-3
In a regression model involving 30 observations, the following estimated regression equation was obtained:
$\hat { Y }$ =17+4X1 - 3X2+8X3+8X4
For this model SSR = 700 and SSE = 100.
-Refer to Exhibit 13-3. The computed F statistic for testing the significance of the above model is
A) 43.75
B) 0.875
C) 50.19
D) 7.00

Question

Exhibit 13-3
In a regression model involving 30 observations, the following estimated regression equation was obtained:
 $\hat { Y }$ =17+4X1 - 3X2+8X3+8X4
For this model SSR = 700 and SSE = 100.
-Refer to Exhibit 13-3. The computed F statistic for testing the significance of the above model is
A) 43.75
B) 0.875
C) 50.19
D) 7.00

Quizplus · Accepted Answer

The F statistic is calculated as SSR/SSE divided by the degrees of freedom for the regression and the degrees of freedom for the error. In this case, the degrees of freedom for the regression is 4 (the number of independent variables) and the degrees of freedom for the error is 30 - 4 = 26. Therefore, the F statistic is 700/100 * 4/26 = 43.75.

Exhibit 13-3 in a Regression Model Involving 30 Observations, the Following

Exhibit 13-3
in a Regression Model Involving 30 Observations, the Following