Exhibit 13-9
In a regression analysis involving 25 observations, the following estimated regression equation was developed.
$\hat { Y }$ =10 - 18X1+3X2+14X3
Also, the following standard errors and the sum of squares were obtained.
Sb₁ = 3 Sb2 = 6 Sb3 = 7
SST = 4,800 SSE = 1,296
-Refer to Exhibit 13-9. The test statistic for testing the significance of the model is
A) 0.730
B) 18.926
C) 3.703
D) 1.369

Question

Exhibit 13-9
In a regression analysis involving 25 observations, the following estimated regression equation was developed.
 $\hat { Y }$ =10 - 18X1+3X2+14X3
Also, the following standard errors and the sum of squares were obtained.
Sb₁ = 3 Sb2 = 6 Sb3 = 7
SST = 4,800 SSE = 1,296
-Refer to Exhibit 13-9. The test statistic for testing the significance of the model is
A) 0.730
B) 18.926
C) 3.703
D) 1.369

Quizplus · Accepted Answer

The test statistic for the significance of the model is calculated using the F-statistic: F = (SST - SSE) / k / (SSE / (n - k - 1)), where k is the number of predictors and n is the number of observations. Here, F = (4800 - 1296) / 3 / (1296 / (25 - 3 - 1)) = 18.926.

Exhibit 13-9 in a Regression Analysis Involving 25 Observations, the Following

Exhibit 13-9
in a Regression Analysis Involving 25 Observations, the Following