In a multiple regression model,the coefficients on the independent variables measure
A)the percent of the variation in the dependent variable explained by a change in that independent variable,all other influences held constant.
B)the change in the dependent variable from a one-unit change in that independent variable,all other influences held constant.
C)the change in that independent variable from a one-unit change in the dependent variable,all other influences held constant.
D)the change in the dependent variable explained by the random error,all other influences held constant.

Question

Quizplus · Accepted Answer

The coefficients in a multiple regression model represent the change in the dependent variable (y) for a one-unit change in the independent variable (x), holding all other independent variables constant. Therefore, choice B is the correct option. Choice A is incorrect because the coefficients do not represent the percent of variation explained by a change in the independent variable. Choice C is incorrect because it refers to the concept of inverse regression, where the roles of the dependent and independent variables are reversed. Choice D is incorrect because the coefficients do not explain the random error variance, but rather the systematic variance in the dependent variable due to changes in the independent variables.

In a Multiple Regression Model,the Coefficients on the Independent Variables