The regression equation for a particular relationship is Y = 10 + (.78) X 1+ (-.54) X 2. 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.

Question

Quizplus · Accepted Answer

The coefficient for X1 is positive (.78), indicating a positive relationship with Y, while the coefficient for X2 is negative (-.54), indicating a negative relationship with Y. This means that the two independent variables have opposite effects on the dependent variable Y. Therefore, the correct answer is D.

The Regression Equation for a Particular Relationship Is Y =