In the first-order model $\tilde { y } = 75 - 12 x _ { 1 } + 5 x _ { 2 } - 3 x _ { 1 } x _ { 2 }$ ,a unit increase in x₁,while holding x₂ constant at a value of 2,decreases the value of y on average by 8 units.

Question

Quizplus · Accepted Answer

The given statement is contradictory to the coefficients of the first-order model. A unit increase in x₁ would have a decreasing effect on y if the coefficient of x₁ was negative, which is not the case in the given model where the coefficient is -12. Hence, the given statement is false.

In the First-Order Model y~=75−12x1+5x2−3x1x2\tilde { y } = 75 - 12 x _ { 1 } + 5 x _ { 2 } - 3 x _ { 1 } x _ { 2 }y~​=75−12x1​+5x2​−3x1​x2​

In the First-Order Model $\tilde { y } = 75 - 12 x _ { 1 } + 5 x _ { 2 } - 3 x _ { 1 } x _ { 2 }$