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 in front of a variable indicates how much the dependent variable ($\hat { y }$) is expected to change for a one-unit increase in that variable, holding all other variables constant. Here, the coefficient in front of $x$ is 6, indicating that $\hat { y }$ is expected to increase by 6 units as $x$ increases by 1 unit, with $w$ held constant.

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

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