If the sum of squares for error is equal to 0, then what must the coefficient of determination ( ) equal?
A) 1.5
B) 1.0
C) 0.0
D) -1.0

Question

If the sum of squares for error is equal to 0, then what must the coefficient of determination (  ) equal?
A) 1.5 
B) 1.0 
C) 0.0 
D) -1.0

Quizplus · Accepted Answer

The coefficient of determination (R-squared) is equal to 1 - (sum of squares for error/total sum of squares). If the sum of squares for error is 0, then the coefficient of determination is equal to 1, indicating that all of the variation in the data is explained by the model. Therefore, the correct answer is B) 1.0.

If the Sum of Squares for Error Is Equal to 0