A multiple regression model has the estimated form = 10 - 11x + 15w - 4q
As x increases by 1 unit (holding w and q constant), y is expected to
A) increase by 10 units.
B) decrease by 10 units.
C) increase by 15 units.
D) decrease by 11 units.

Question

A multiple regression model has the estimated form  = 10 - 11x + 15w - 4q ​
As x increases by 1 unit (holding w and q constant), y is expected to
A) increase by 10 units. 
B) decrease by 10 units. 
C) increase by 15 units. 
D) decrease by 11 units.

Quizplus · Accepted Answer

As x increases by 1 unit, the coefficient for x is -11, indicating that y is expected to decrease by 11 units (holding w and q constant). The constant term (10) does not change with changes in x, so it does not affect the outcome for this question. The coefficients for w and q indicate the change in y based on changes in those predictor variables, not changes in x.

A Multiple Regression Model Has the Estimated Form =