For the multiple regression model $\ddot { y } = 40 + 15 x _ { 1 } - 10 x _ { 2 } + 5 x _ { 3 }$ , if $x _ { 2 }$ were to increase by 5 units, holding $x _ { 1 }$ and $x _ { 3 }$ constant, the value of $y$ would decrease by 50 units, on average.

Question

Quizplus · Accepted Answer

Since the coefficient for $x_2$ is -10, an increase of 5 units in $x_2$ would lead to a decrease of $5 \times -10 = -50$ in the value of $y$, holding $x_1$ and $x_3$ constant.

For the Multiple Regression Model y¨=40+15x1−10x2+5x3\ddot { y } = 40 + 15 x _ { 1 } - 10 x _ { 2 } + 5 x _ { 3 }y¨​=40+15x1​−10x2​+5x3​

For the Multiple Regression Model $\ddot { y } = 40 + 15 x _ { 1 } - 10 x _ { 2 } + 5 x _ { 3 }$