A multiple regression model has the estimated 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

A multiple regression model has the estimated 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.

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 all other variables constant. Here, the coefficient of x is 6, so y is expected to increase by 6 units as x increases by 1 unit, holding w constant.

A Multiple Regression Model Has the Estimated Form y^\hat { y }y^​

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