In a regression model involving 50 observations, the following estimated regression model was obtained: ŷ = 10.5 + 3.2x1 + 5.8x2 + 6.5x3. For this model, SSR = 450 and SSE = 175. The value of MSE is:
A)9.783.
B)58.333.
C)150.000.
D)3.804.

Question

Quizplus · Accepted Answer

MSE (mean squared error) is calculated as SSE (sum of squared errors) divided by the degrees of freedom (n-k-1), where n is the number of observations and k is the number of predictors. In this case, n=50 and k=3, so degrees of freedom = 50-3-1 = 46.
MSE = SSE/46 = 175/46 = 3.804. Therefore, the answer is D.

In a Regression Model Involving 50 Observations, the Following Estimated