What is the slope of the following regression equation? = -8.27X + 3.09
A)8.27
B)-8.27
C)3.09
D)-3.09

Question

What is the slope of the following regression equation?  = -8.27X + 3.09
A)8.27 
B)-8.27 
C)3.09 
D)-3.09

Quizplus · Accepted Answer

The slope of a regression equation is represented by the coefficient in front of the independent variable (X). In this case, the coefficient is -8.27, so the slope is also -8.27. Therefore, the best choice is B, and the explanation is that the coefficient in front of X represents the slope. The other options are not correct because they either represent the y-intercept (3.09) or have the wrong sign.

What Is the Slope of the Following Regression Equation