In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. = 45+ 19x₁ + 63x₂ + 80x₃

For this model, SSR = 800 and SSE = 200. The multiple coefficient of determination for the above model is

Question

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained.

= 45+ 19x₁ + 63x₂ + 80x₃

For this model, SSR = 800 and SSE = 200. The multiple coefficient of determination for the above model is

Quizplus · Accepted Answer

The formula for multiple coefficient of determination (R-squared) is:

R-squared = SSR / (SST)

where SST = SSE + SSR

Substituting the given values, we get:

R-squared = 800 / (800 + 200) = 0.8

Therefore, the correct choice is B, as it matches the calculated value of R-squared for the given regression model.

In a Multiple Regression Model Involving 44 Observations, the Following