In a simple linear regression analysis, if SSE = 27, Total SS = 63, then what is the approximate percentage of the variation in the dependent variable y that is explained by the independent variable x?
A) 27%
B) 43%
C) 57%
D) 63%

Question

Quizplus · Accepted Answer

The percentage of variation explained by the independent variable is given by the coefficient of determination, R², which is calculated as 1 - (SSE/Total SS). Here, R² = 1 - (27/63) = 0.5714, or approximately 57%.

In a Simple Linear Regression Analysis, If SSE = 27