If the coefficient of determination is 0.09 and the sum of squares regression is 88,then the total variation in Y must be = 108.

Question

If the coefficient of determination is 0.09 and the sum of squares regression is 88,then the total variation in Y must be  = 108.

Quizplus · Accepted Answer

The coefficient of determination, R^2, is defined as the ratio of the sum of squares regression to the total sum of squares, therefore R^2 = 88/Total sum of squares. Solving for the total sum of squares, we get Total sum of squares = 88/0.09 = 977.78. Therefore, the statement "the total variation in Y must be 108" is incorrect.

If the Coefficient of Determination Is 0