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) is known as:
A) the sample coefficient of variation
B) the sample of coefficient of correlation
C) the sample coefficient of determination
D) the sample coefficient of non-determination
E) none of these

Question

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) is known as:
A) the sample coefficient of variation 
B) the sample of coefficient of correlation 
C) the sample coefficient of determination 
D) the sample coefficient of non-determination 
E) none of these

Quizplus · Accepted Answer

The measure described in the question is the sample coefficient of determination, also known as R-squared. It represents the percentage of the total variation in the dependent variable that is explained by the independent variable(s). A high R-squared indicates a good fit of the regression line to the data, while a low R-squared suggests that the model does not explain much of the variation in the dependent variable.

A Measure of How Well an Estimated Regression Line Fits