The coefficient of determination tells you
A)that the coefficient of correlation (r)is larger than 1.
B)whether r has any significance.
C)that you should not partition the total variation.
D)the proportion of total variation that is explained.

Question

The coefficient of determination  tells you
A)that the coefficient of correlation (r)is larger than 1. 
B)whether r has any significance. 
C)that you should not partition the total variation. 
D)the proportion of total variation that is explained.

Quizplus · Accepted Answer

The coefficient of determination (r^2) is the proportion of total variation in the dependent variable that is explained by the independent variable(s). Therefore, choice D is the correct answer as it describes the meaning of the coefficient of determination. Choice A is incorrect as the coefficient of correlation (r) cannot be greater than 1. Choice B is also incorrect as the coefficient of determination does not tell us about the significance of the correlation. Choice C is also incorrect as partitioning the total variation is a common technique in statistical analysis. The coefficient of determination (r-squared) tells us the proportion of total variation in the response variable that is explained by the regression model. Therefore, it is the best choice from the given options.

The Coefficient of Determination Tells You