A standardized multiple regression equation yields a beta weight of 0.65 for X₁ and -0.50 for X₂. Which of the following is an interpretation of X₁'s beta weight? A) A one standard deviation change in X₁ is associated with a 0.65 standard deviation in Y, controlling for the effect of X₂. B) A one unit change in X₁ is associated with a 0.65 standard deviation in X₂, controlling for the effect of Y. C) A one standard deviation change in X₂ is associated with a 0.65 standard deviation change in Y, controlling for the effect of X₁. D) There is an error in this equation: beta-weights for X₁ and X₂ cannot have opposite signs.

Question

Quizplus · Accepted Answer

A beta weight of 0.65 for X₁ means that a one standard deviation increase in X₁ is associated with a 0.65 standard deviation increase in the dependent variable Y, while controlling for the effect of X₂.

A Standardized Multiple Regression Equation Yields a Beta Weight of 0.65