In a simple regression analysis,if the standard error of estimate = 15 and the number of observations n = 10,then the sum of the residuals squared must be 120.

Question

In a simple regression analysis,if the standard error of estimate  = 15 and the number of observations n = 10,then the sum of the residuals squared must be 120.

Quizplus · Accepted Answer

The sum of the residuals squared equals the residual standard error (i.e., standard error of estimate) squared multiplied by (n-2), where n is the number of observations. Therefore, the sum of the residuals squared would be (15)^2 * (10-2) = 1680, not 120.

In a Simple Regression Analysis,if the Standard Error of Estimate