A multiple regression analysis involving 3 independent variables and 25 data points results in a value of 0.769 for the unadjusted multiple coefficient of determination. What is the adjusted multiple coefficient of determination?
A) 0.385
B) 0.591
C) 0.736
D) 0.877

Question

Quizplus · Accepted Answer

The adjusted R-squared accounts for the number of predictors in the model and the sample size. It is calculated using the formula: Adjusted R² = 1 - [(1-R²)(n-1)/(n-k-1)], where R² is the unadjusted R-squared, n is the number of observations, and k is the number of predictors. Plugging in the values: Adjusted R² = 1 - [(1-0.769)(25-1)/(25-3-1)] = 0.736.

A Multiple Regression Analysis Involving 3 Independent Variables and 25