In a regression analysis if SSE = 500 and SSR = 300, then the coefficient of determination is
A)0.6000
B)0.1666
C)1.6666
D)0.3750

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) is the proportion of the total variation in the dependent variable that is explained by the independent variable(s). It is calculated as follows:

R-squared = SSR/SST

where SSR is the sum of squares of regression (explained variation) and SST is the total sum of squares (total variation).

In this case, we have:

SSE = 500 
SSR = 300

To find SST, we can use the formula:

SST = SSE + SSR

SST = 500 + 300 = 800

Therefore, the coefficient of determination is:

R-squared = SSR/SST = 300/800 = 0.375

So the answer is D.

In a Regression Analysis If SSE = 500 and SSR