In a regression model involving 40 observations, the following estimated regression model was obtained $\hat{y}$= 10 + 3x1 + 5x2 + 6x3. For this model, SSR = 300 and SSE = 75. Then, the value of MSR is:
A)100.
B)225.
C)25.
D)75.

Question

Quizplus · Accepted Answer

MSR (Mean Square Regression) is calculated as SSR divided by the degrees of freedom for the regression, which is the number of independent variables. In this model, there are 3 independent variables (x1, x2, x3), so the degrees of freedom for the regression is 3. Thus, MSR = SSR / degrees of freedom for regression = 300 / 3 = 100.

In a Regression Model Involving 40 Observations, the Following Estimated y^\hat{y}y^​

In a Regression Model Involving 40 Observations, the Following Estimated $\hat{y}$