In a regression equation,one may measure the accuracy of the estimation by:
A) calculating the standard deviation of the errors of prediction
B) calculating the standard error of the estimate
C) estimating the standard deviation of the errors of prediction
D) all of the above
E) a and b only

Question

​In a regression equation,one may measure the accuracy of the estimation by:
A) ​calculating the standard deviation of the errors of prediction
B) ​calculating the standard error of the estimate
C) ​estimating the standard deviation of the errors of prediction
D) ​all of the above
E) a and b only

Quizplus · Accepted Answer

Option A is incorrect because it refers to the standard deviation of the errors of prediction, which is a measure of the variability of the residuals, not the accuracy of the estimation.

Option B is correct because the standard error of the estimate measures the average amount by which the observed values deviate from the predicted values, and it is a measure of the accuracy of the regression equation.

Option C is incorrect because it is similar to option A in that it refers to the standard deviation of the errors of prediction.

Therefore, the best choice is E, which includes option B (the standard error of the estimate) and option A (the standard deviation of the residuals, which is related to the accuracy of the regression equation).

​In a Regression Equation,one May Measure the Accuracy of the Estimation

In a Regression Equation,one May Measure the Accuracy of the Estimation