The coefficient of determination R² represents the proportion of the total variability in y that can be explained by the regression of y on x. When transformed to a percentage, it represents the percentage reduction in the sum of the squares of the error that can be accomplished by using the model to predict the dependent variable as opposed to just using the sample mean of the dependent variable.

Question

Quizplus · Accepted Answer

This statement is true. The coefficient of determination (R squared) represents the proportion of the total variability in the dependent variable (y) that can be explained by the independent variable (x) in the regression model. When transformed to a percentage, it represents the percentage reduction in the sum of the squares of the error that can be accomplished by using the regression model to predict y instead of just using the sample mean of y.

The Coefficient of Determination R2 Represents the Proportion of the Total

The Coefficient of Determination R² Represents the Proportion of the Total