A multiple regression model has the form
$\hat { Y }$ =5+6X+7W
As X increases by 1 unit holding W constant), Y is expected to
A) increase by 11 units
B) decrease by 11 units
C) increase by 6 units
D) decrease by 6 units

Question

Quizplus · Accepted Answer

In a multiple regression model, the coefficient of a variable represents the expected change in the dependent variable for a one-unit increase in that variable, holding other variables constant. Here, the coefficient of X is 6, so Y is expected to increase by 6 units for a 1-unit increase in X, holding W constant.

A Multiple Regression Model Has the Form Y^\hat { Y }Y^

A Multiple Regression Model Has the Form $\hat { Y }$