Question

The coefficient of determination rsquared is the ratio of which two types of​ variations? What does rsquared ​measure? What does 1minus rsquared ​measure? The coeffcient of determination is the ratio of the explained variation to the total variation.

A. The coefficient of determination is the ratio of the unexplained variation to the total variation. B. The coefficient of determination is the ratio of the total variation to the unexplained variation. C. The coefficient of determination is the ratio of the explained variation to the total variation. D. The coefficient of determination is the ratio of the total variation to the explained variation. Choose the correct answer below.

A. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y. B. The coefficient of determination is the percent of the predicted values that equal the actual data values. C. The coefficient of determination is a measure of how closely two variables vary together. D. The coefficient of determination is the percent of the variation that is unexplained. Choose the correct answer below.

A. The value 1minus squared is the percent of variation of y that is explained by the relationship between x and y. B. The value 1minus rsquared is the percent of the variation that is unexplained. C. The value 1minus rsquared is a measure of how closely two variables vary together. D. The value 1minus rsquared is the percent of the predicted values that equal the actual data values.

Answer 1

Part 1) The coefficient of determination is the ratio of the explained variation to the total variation. Option C is correct.

Part 2) The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y. Option A is correct.

Part 3) The value 1minus rsquared is the percent of the variation that is unexplained. Option B is correct.