In the multiple regression model $\hat { Y } = 6.75 + 2.25 X _ { 1 } + 3.5 X _ { 2 }$
we interpret X₁ as follows: holding X₂ constant,if X₁ increases by 1 unit,then the expected value of Y will increase by 9 units.

Question

In the multiple regression model

\hat { Y } = 6.75 + 2.25 X _ { 1 } + 3.5 X _ { 2 }

we interpret X₁ as follows: holding X₂ constant,if X₁ increases by 1 unit,then the expected value of Y will increase by 9 units.

Quizplus · Accepted Answer

The coefficient of $X_1$ is 2.25, meaning that for each 1 unit increase in $X_1$, holding $X_2$ constant, the expected value of $Y$ increases by 2.25 units, not 9 units.

In the Multiple Regression Model Y^=6.75+2.25X1+3.5X2\hat { Y } = 6.75 + 2.25 X _ { 1 } + 3.5 X _ { 2 }Y^=6.75+2.25X1​+3.5X2​

In the Multiple Regression Model $\hat { Y } = 6.75 + 2.25 X _ { 1 } + 3.5 X _ { 2 }$