When estimating = β₀ + β₁x₁ + β₂x₂+ε,the following regression results using ANOVA were obtained. Which of the following is the coefficient of determination? A) 0.07 B) 0.10 C) 0.90 D) 0.93

Question

Quizplus · Accepted Answer

The coefficient of determination is the ratio of explained variation to total variation. It is calculated as R-squared = SSE/SST, where SSE is the sum of squares due to error and SST is the total sum of squares. From the ANOVA table, we can see that SSE is 319.74 and SST is 4648.76. Thus, R-squared = 1 - (319.74/4648.76) = 0.93. Therefore, the coefficient of determination is 0.93. The only correct choice is D.

When Estimating = β0 + β1x1 + β2x2 +ε,the

When Estimating = β₀ + β₁x₁ + β₂x₂+ε,the