Consider the interaction model $E ( y ) = 7 + 3 x _ { 1 } - 4 x _ { 2 } + 5 x _ { 1 } x _ { 2 }$. Find the slope of the line relating $E ( y )$ and $x _ { 1 }$ when $x _ { 2 } = 2$ when x2 = 2.
A) 13
B) 10
C) 1
D) 16

Question

Quizplus · Accepted Answer

The slope of the line relating $E(y)$ and $x_1$ is given by the derivative of $E(y)$ with respect to $x_1$. When $x_2 = 2$, the interaction term becomes $5 \times 2 = 10$. Thus, the slope is $3 + 10 = 13$.

Consider the Interaction Model E(y)=7+3x1−4x2+5x1x2E ( y ) = 7 + 3 x _ { 1 } - 4 x _ { 2 } + 5 x _ { 1 } x _ { 2 }E(y)=7+3x1​−4x2​+5x1​x2​

Consider the Interaction Model $E ( y ) = 7 + 3 x _ { 1 } - 4 x _ { 2 } + 5 x _ { 1 } x _ { 2 }$