The regression equation for a particular relationship is Y = 10 + (.78) X1 + (-.54) X2. Which conclusion is consistent with this equation?
A) The Y intercept is zero
B) Neither independent variable has an important relationship with Y
C) A value for a (the Y intercept) needs to be calculated before the equation can be interpreted
D) The two independent variables have opposite effects on the dependent variable

Question

Quizplus · Accepted Answer

The negative value for the coefficient of X2 indicates that as X2 increases, Y decreases. The positive value for the coefficient of X1 indicates that as X1 increases, Y increases. Therefore, the two independent variables have opposite effects on the dependent variable.

The Regression Equation for a Particular Relationship Is Y =