A regression equation for left palm length (y variable) and right palm length (x variable) for 55 college students gave an error sum of squares (SSE) of 10.7 and a total sum of squares (SSTO) of 85.2. What proportion of the variation in y is explained by x?
A) 11.2%.
B) 12.6%.
C) 87.4%.
D) 88.8%.

Question

Quizplus · Accepted Answer

The proportion of the variation in y explained by x is given by the coefficient of determination, R^2, which is calculated as 1 - (SSE/SSTO). Substituting the given values, we get 1 - (10.7/85.2) = 0.874 or 87.4%.

A Regression Equation for Left Palm Length (Y Variable) and Right