For a multiple regression model, the following statistics are given: Total SS = 500, SSE = 60, and n = 20. In this case, what is the coefficient of determination, expressed as a percentage?
A) 93.81%
B) 88%
C) 77.44%
D) 12%

Question

Quizplus · Accepted Answer

The coefficient of determination, also known as R-squared, is the proportion of variance in the dependent variable that is explained by the independent variables. It is calculated as (Total SS - SSE) / Total SS. Plugging in the given values, we get R-squared = (500 - 60) / 500 = 0.88 or 88%. Therefore, the best choice is B.

For a Multiple Regression Model, the Following Statistics Are Given