In a multiple regression model y' = -11 + 5x₁ + 21x₂ + 11x₃ + 3x₄, if the x₁ value changes by 2, then the predicted value for y will change by A) 10 B) 42 C) -1 D) 29

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Quizplus · Accepted Answer

In a multiple regression model, the coefficient of a variable represents the change in the predicted value of y for a one-unit change in that variable, holding all other variables constant. Here, the coefficient of x1 is 5, so if x1 changes by 2, the predicted value for y will change by 5 * 2 = 10.

In a Multiple Regression Model Y' = -11 + 5x1

In a Multiple Regression Model Y' = -11 + 5x₁