In a simple linear regression analysis, if SSE = 27, Total SS = 63, then the percentage of the variation in the dependent variable y that is explained by the independent variable x is about:
A) 43%
B) 27%
C) 63%
D) 57%
E) 36%

Question

Quizplus · Accepted Answer

The percentage of variation in the dependent variable explained by the independent variable can be calculated using the coefficient of determination (R-squared).

R-squared = 1 - (SSE/Total SS)

Substituting the given values, we get

R-squared = 1 - (27/63)

R-squared = 0.57 or 57%

Therefore, option D is the correct answer.

In a Simple Linear Regression Analysis, If SSE = 27