Given that the sum of squares for error is 52 and the sum of squares for regression is 148, then the coefficient of determination is 0.74.

Question

Quizplus · Accepted Answer

The formula for calculating the coefficient of determination (r-squared) is: r-squared = (SSR/SST), where SSR is the sum of squares for regression and SST is the total sum of squares (which can be calculated by adding both the SSR and SSE, the sum of squares for error).

Using the given values: 
SSR = 148 
SSE = 52 
SST = SSR + SSE = 148 + 52 = 200

r-squared = (SSR/SST) = 148/200 = 0.74

Therefore, the coefficient of determination is indeed 0.74.

Given That the Sum of Squares for Error Is 52