The graphical depiction of the equation of a multiple regression model with k independent variables (k 1) is referred to as:
A)a straight line.
B)the response variable.
C)the response surface.
D)a plane only when k = 3.

Question

The graphical depiction of the equation of a multiple regression model with k independent variables (k > 1) is referred to as:
A)a straight line.
B)the response variable.
C)the response surface.
D)a plane only when k = 3.

Quizplus · Accepted Answer

The response surface is a 3-dimensional graphical representation of the relationship between the response variable and multiple independent variables in a multiple regression model. It is a surface rather than a straight line or plane because it involves more than one independent variable.

The Graphical Depiction of the Equation of a Multiple Regression