If the error sum of squares is 12 and the total sum of squares is 400, then the proportion of observed y variation explained by the simple linear regression model is
A) 0.030
B) 0.173
C) 0.970
D) 0.985
E) None of the above answers are correct.

Question

Quizplus · Accepted Answer

The proportion of observed y variation explained by the simple linear regression model is given by the coefficient of determination, R^2, which is calculated as 1 - (error sum of squares / total sum of squares) = 1 - (12 / 400) = 1 - 0.03 = 0.97 or 97%.

If the Error Sum of Squares Is 12 and the Total