Which of the following is true about the standard error of e

Which of the following is true about the standard error of estimate in linear regression?

A. It is a measure of the dispersion about the regression line for a given value of Y.

B. It is a measure of the total variation in Y explained by X.

C. It is based on squared vertical deviations between Y and X

D. It is a measure of the accuracy of the prediction of Y based on X.

Solution

D. It is a measure of the accuracy of the prediction of Y based on X.

standard error of estimate= square root of the average squared errors

The regression line seeks to minimize the sum of the squared errors of prediction. The square root of the average squared error of prediction is used as a measure of the accuracy of prediction