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 is equal to the product of the standard error of estimate and the square root of the degrees of freedom, which is n-2 in simple regression. Therefore, the sum of the residuals squared is equal to 15 * sqrt(10-2) = 47.43, not 120.

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