For the multiple regression model $\bar { Y } = 40 + 15 X _ { 1 } - 10 X _ { 2 } + 5 X _ { 3 }$
,if $X _ { 2 }$
were to increase by 5 units,holding $X _ { 1 }$
and $X _ { 3 }$
constant,the value of Y would be expected to decrease by 50 units.

Question

For the multiple regression model $\bar { Y } = 40 + 15 X _ { 1 } - 10 X _ { 2 } + 5 X _ { 3 }$ 
,if $X _ { 2 }$ 
were to increase by 5 units,holding $X _ { 1 }$ 
and $X _ { 3 }$ 
constant,the value of Y would be expected to decrease by 50 units.

Quizplus · Accepted Answer

The coefficient of $X_2$ is -10, so an increase of 5 units in $X_2$ would result in a change of $-10 \times 5 = -50$ in $\bar{Y}$.

For the Multiple Regression Model Yˉ=40+15X1−10X2+5X3\bar { Y } = 40 + 15 X _ { 1 } - 10 X _ { 2 } + 5 X _ { 3 }Yˉ=40+15X1​−10X2​+5X3​

For the Multiple Regression Model $\bar { Y } = 40 + 15 X _ { 1 } - 10 X _ { 2 } + 5 X _ { 3 }$