In multiple regression analysis, when the response surface (the graphical depiction of the regression equation) hits every single point, the sum of squares for error SSE = 0, the standard error of estimate = 0, and the coefficient of determination = 1.

Question

In multiple regression analysis, when the response surface (the graphical depiction of the regression equation) hits every single point, the sum of squares for error SSE = 0, the standard error of estimate  = 0, and the coefficient of determination  = 1.

Quizplus · Accepted Answer

When the response surface hits every single point perfectly, it means that the regression equation perfectly fits the data and there is no error remaining. Therefore, SSE = 0 and R-squared = 1. The standard error of estimate will also be 0, as there is no error left to estimate.

In Multiple Regression Analysis, When the Response Surface (The Graphical