For the estimated regression equation ŷ = 8 − 5x₁+ 2x₂, which of the following best describes the corresponding change in the value of y, in response to a one unit increase in x₁, while keeping x₂ constant? A) An estimated increase in y by 5 units, on average. B) An estimated decrease in y by 5 units, on average. C) An estimated decrease in y by 3 units, on average. D) An estimated decrease in y by 1 unit, on average.

Question

Quizplus · Accepted Answer

According to the estimated regression equation, a one unit increase in x₁ while keeping x₂ constant would result in a 5 unit decrease in y (since the coefficient of x₁ is -5). Therefore, option B is the correct answer.

For the Estimated Regression Equation ŷ = 8 − 5x1

For the Estimated Regression Equation ŷ = 8 − 5x₁