In a multiple regression problem involving 24 observations and three independent variables, the estimated regression equation is . For this model, SST = 800 and SSE = 245. Then, the value of the F statistic for testing the significance of the model is 15.102.

Question

In a multiple regression problem involving 24 observations and three independent variables, the estimated regression equation is  . For this model, SST = 800 and SSE = 245. Then, the value of the F statistic for testing the significance of the model is 15.102.

Quizplus · Accepted Answer

To test the significance of the model, we need to compute the F statistic using the formula:

F = MSR / MSE

where MSR = SST - SSE / p - 1 (p is the number of independent variables, here p = 3) and MSE = SSE / n - p.

Plugging in the values given, we get:

MSR = (800 - 245) / (3 - 1) = 277.5
MSE = 245 / (24 - 3) = 11.71

F = 277.5 / 11.71 = 23.68

Therefore, the statement is false. The value of the F statistic is not 15.102, but rather 23.68.

In a Multiple Regression Problem Involving 24 Observations and Three