Consider the multiple regression model shown next between the dependent variable Y and three independent variables X₁, X₂, and X₃, which result in the following function: For this model, there were 35 observations; SSR = 1400 and SSE = 600. The critical F value at the 1% level of significance is _______. A) 3.83 B) 2.61 C) 4.02 D) 2.53

Question

Quizplus · Accepted Answer

The formula to calculate the F-value in multiple regression is:

F = (SSR/k) / (SSE/(n - k - 1))

where SSR is the sum of squared residuals, SSE is the sum of squared errors, k is the number of independent variables, and n is the sample size.

In this case, k = 3 and n = 35. The given values are SSR = 1400 and SSE = 600.

Substituting these values in the formula, we get:

F = (1400/3) / (600/31) = 16.667

At the 1% level of significance, the critical F-value with 3 and 31 degrees of freedom is 4.02.

Therefore, the best choice is C, 4.02.

Consider the Multiple Regression Model Shown Next Between the Dependent