For the following multiple regression model: $\tilde { y } = 2 - 3 x _ { 1 } + 4 x _ { 2 } + 5 x _ { 3 }$ ,a unit increase in x₁,holding x₂ and x₃ constant,results in: A) a decrease of 3 units on average in the value of y. B) an increase of 8 units in the value of y. C) an increase of 3 units on average in the value of y. D) None of these choices.

Question

Quizplus · Accepted Answer

A unit increase in x1 will result in a corresponding decrease of 3 in the value of y. This is because the coefficient for x1 is -3, indicating that as x1 increases by 1 unit, y will decrease by 3 units on average, holding x2 and x3 constant.

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

For the Following Multiple Regression Model $\tilde { y } = 2 - 3 x _ { 1 } + 4 x _ { 2 } + 5 x _ { 3 }$