The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: The value of the standard error of the estimate s_e is ___. A)13.23 B)3.16 C)17.32 D)26.46 E)10.00

Question

Quizplus · Accepted Answer

The standard error of the estimate can be found by taking the square root of the mean squared error (MSE), which is the residual sum of squares (RSS) divided by the degrees of freedom (df) for error. In this ANOVA table, the RSS is 2316.124 and the df for error is 30 (35 total observations minus 5 parameters estimated). Therefore, MSE = RSS/df = 2316.124/30 = 77.204. Taking the square root of MSE gives the standard error of the estimate: sqrt(77.204) = 8.79. Rounded to two decimal places, this is answer choice B: 3.16.

The Following ANOVA Table Is from a Multiple Regression Analysis