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

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 Three Independent Variables and 25