For the multiple regression model $= 40 + 15 x _ { 1 } - 10 x _ { 2 } + 5 x _ { 3 }$ , 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

For the multiple regression model  $= 40 + 15 x _ { 1 } - 10 x _ { 2 } + 5 x _ { 3 }$ , 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.

Quizplus · Accepted Answer

According to the statement, the coefficient of $x _ { 2 }$ in the multiple regression model is negative and significant. Therefore, if $x _ { 2 }$ were to increase by 5 units, holding $x _ { 1 }$ and $X _ { 3 }$ constant, the value of $y$ would decrease by 5 times the coefficient value of $x _ { 2 }$, which is 50 units on average. So, the statement is true.

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

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