Describe the general relationship between the coefficient of determination and the SEE.
A) It can be high or it can be low, depending on the situation.
B) They are inversely (negatively) related.
C) They are directly (positively) related.
D) There is no relationship between them.
E) Impossible to determine without knowing the correlation coefficient.

Question

Quizplus · Accepted Answer

The coefficient of determination (r^2) represents the proportion of variation in the dependent variable that is explained by the independent variable(s). The standard error of estimate (SEE), on the other hand, represents the average amount of error (residuals) between the predicted values and the actual values. As r^2 increases, the amount of unexplained variation decreases and therefore the SEE decreases as well. Therefore, they are inversely related.

Describe the General Relationship Between the Coefficient of Determination and the SEE