A multiple regression model has the estimated form = 5 + 6x + 7w

As x increases by 1 unit (holding x constant), y is expected to
A) increase by 11 units.
B) decrease by 11 units.
C) increase by 7 units.
D) decrease by 7 units.

Question

A multiple regression model has the estimated form ​  = 5 + 6x + 7w
​
As x increases by 1 unit (holding x constant), y is expected to
A) increase by 11 units. 
B) decrease by 11 units. 
C) increase by 7 units. 
D) decrease by 7 units.

Quizplus · Accepted Answer

As per the given multiple regression model, the coefficient of the variable 'x' is 6. This means that, for every 1 unit increase in 'x', the predicted value of the dependent variable (y) will increase by 6 units. Therefore, as x increases by 1 unit (holding x constant), y is expected to increase by 6*7 = 42 units (since the coefficient of 'w' is 7), and the intercept is 5. Thus, the expected increase in y is 5 + 42 = 47 units. Therefore, the best choice is C, which states that y is expected to increase by 7 units.

A Multiple Regression Model Has the Estimated Form ​

A Multiple Regression Model Has the Estimated Form