A regression equation is obtained for a collection of paired data. It is found that the total variation is 110.7, the explained variation is 93.3, and the unexplained variation is 17.4. Find the coefficient of determination.
A) 0.843
B) 0.186
C) 1.186
D) 0.157

Question

Quizplus · Accepted Answer

The coefficient of determination is given by the ratio of the explained variation to the total variation.

Coefficient of determination, R^2 = Explained variation/Total variation 
R^2 = 93.3/110.7 
R^2 = 0.8428 (rounded to 3 decimal places)

Therefore, the answer is choice letter A (0.843).

A Regression Equation Is Obtained for a Collection of Paired