All other things being held constant,what is the change in the dependent variable for a unit change in X₁ for the multiple regression equation: Ŷ = 5.2 + 6.3X₁ − 7.1 X₂? A)−7.1 B)+6.3 C)+5.2 D)+4.4

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Quizplus · Accepted Answer

According to the given equation, a unit change in X₁ is associated with a change of 6.3 in the dependent variable, holding all other variables constant. The coefficient of X₂ is -7.1, which means that a unit change in this variable is associated with a decrease of 7.1 in the dependent variable, holding all other variables constant. The constant term of 5.2 represents the value of the dependent variable when all the independent variables are zero. Therefore, a unit change in X₁ leads to a change of 6.3 in the predicted value of the dependent variable, while holding all other variables constant.

All Other Things Being Held Constant,what Is the Change in the Dependent