In multiple regression,the regression coefficients reflect the expected change in:
A) Y when the associated X value increases by one unit, holding the other variables constant
B) X when the associated Y value increases by one unit, holding the other variables constant
C) Y when the associated X value decreases by one unit, holding the other variables constant
D) X when the associated Y value decreases by one unit, holding the other variables constant

Question

In multiple regression,the regression coefficients reflect the expected change in:
A) Y when the associated X value increases by one unit, holding the other variables constant 
B) X when the associated Y value increases by one unit, holding the other variables constant 
C) Y when the associated X value decreases by one unit, holding the other variables constant 
D) X when the associated Y value decreases by one unit, holding the other variables constant

Quizplus · Accepted Answer

In multiple regression, the regression coefficients reflect the expected change in Y when the associated X value increases by one unit, holding the other variables constant. This is because in multiple regression, we are trying to model a dependent variable (Y) as a function of multiple independent variables (X1, X2, etc.) while holding all other variables constant. Therefore, the regression coefficients represent the change in Y that is expected for a unit change in the associated X variable, while all other variables remain constant.

In Multiple Regression,the Regression Coefficients Reflect the Expected Change In