In a regression analysis, if SSE = 500 and SSR = 300, then the coefficient of determination is _____.
A) .600
B) .166
C) 1.666
D) .375

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) is defined as the proportion of the total variation in the dependent variable (SST) that is explained by the regression model (SSR). 
R-squared = SSR / SST
SSE + SSR = SST
Hence, SST =500+300 = 800
R-squared = 300/800 = 0.375
Therefore, the coefficient of determination is 0.375 or 37.5%. The answer is D.

In a Regression Analysis, If SSE = 500 and SSR