A multiple regression model has the form $\tilde { y } = 8 + 3 x _ { 1 } + 5 x _ { 2 } - 4 x _ { 3 }$ .As x₃ increases by one unit,with x₁ and x₂ held constant,the y on average is expected to: A) increase by 1 unit. B) increase by 12 units. C) decrease by 4 units. D) decrease by 16 units.

Question

Quizplus · Accepted Answer

The coefficient of $x_3$ is -4, indicating that for each one-unit increase in $x_3$, $y$ is expected to decrease by 4 units, holding $x_1$ and $x_2$ constant.

A Multiple Regression Model Has the Form y~=8+3x1+5x2−4x3\tilde { y } = 8 + 3 x _ { 1 } + 5 x _ { 2 } - 4 x _ { 3 }y~​=8+3x1​+5x2​−4x3​

A Multiple Regression Model Has the Form $\tilde { y } = 8 + 3 x _ { 1 } + 5 x _ { 2 } - 4 x _ { 3 }$