A first-order no-interaction model has the form $\hat { Y } = 5 + 3 x _ { 1 } + 2 x _ { 2 }$ . As $x _ { 1 }$ increases by 1-unit, while holding $x _ { 2 }$ fixed, then y will be expected to
A) increase by 10
B) increase by 5
C) increase by 3
D) decrease by 3
E) decrease by 6

Question

Quizplus · Accepted Answer

In the given model, the coefficient of $x_1$ is 3, which means for every 1-unit increase in $x_1$, while keeping $x_2$ constant, $\hat{Y}$ (the predicted value of Y) will increase by 3 units.

A First-Order No-Interaction Model Has the Form Y^=5+3x1+2x2\hat { Y } = 5 + 3 x _ { 1 } + 2 x _ { 2 }Y^=5+3x1​+2x2​

A First-Order No-Interaction Model Has the Form $\hat { Y } = 5 + 3 x _ { 1 } + 2 x _ { 2 }$