Which of the following is a measure of how well an estimated regression line fits the sample data on which it is based, denoted by (and equal to the proportion of the total variation in the values of the dependent variable, y, that can be explained by the association of y with x as measured by the estimated regression line)?
A) the sample coefficient of variation
B) the sample coefficient of correlation
C) the sample coefficient of determination
D) the sample coefficient of non-determination

Question

Which of the following is a measure of how well an estimated regression line fits the sample data on which it is based, denoted by  (and equal to the proportion of the total variation in the values of the dependent variable, y, that can be explained by the association of y with x as measured by the estimated regression line)?
A) the sample coefficient of variation 
B) the sample coefficient of correlation 
C) the sample coefficient of determination 
D) the sample coefficient of non-determination

Quizplus · Accepted Answer

The measure described in the question is the coefficient of determination, which is denoted by R². It represents the proportion of the variance in the dependent variable that is explained by the independent variable(s) included in the regression model. Therefore, the best choice is C, the sample coefficient of determination, as none of the other options (A, B, or D) fit this definition.

Which of the Following Is a Measure of How Well