In a simple linear regression, if SS_res = 150 and SS_total = 200, what is the proportion of variation in Y that is predictable from X? A) 25% B) 42.86% C) 56.25% D) 75%

Question

Quizplus · Accepted Answer

The proportion of variation in Y that is predictable from X in a simple linear regression is given by the coefficient of determination, R^2, which is calculated as 1 - (SS_res / SS_total). Given SS_res = 150 and SS_total = 200, R^2 = 1 - (150/200) = 1 - 0.75 = 0.25 or 25%. However, the question asks for the predictable variation, which is the complement of the unexplained variation, thus it is 100% - 25% = 75%.

In a Simple Linear Regression, If SSres = 150 and SStotal

In a Simple Linear Regression, If SS_res = 150 and SS_total