A multiple regression model has the form $\hat { y } = 8 + 3 x _ { 1 } + 5 x _ { 2 } - 4 x _ { 3 }$ . 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, assuming $x_1$ and $x_2$ are held constant.

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

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