A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales. To verify this belief, the following data was collected: What is the regression equation?
A) Y' = 2.1946 - 12.201X
B) Y' = -12.201 + 2.1946X
C) Y' = 12.201 + 2.1946X
D) Y' = 2.1946 + 12.201X

Question

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales. To verify this belief, the following data was collected:    What is the regression equation?
A) Y' = 2.1946 - 12.201X 
B) Y' = -12.201 + 2.1946X 
C) Y' = 12.201 + 2.1946X 
D) Y' = 2.1946 + 12.201X

Quizplus · Accepted Answer

The regression equation for a simple linear regression takes the form Y' = a + bX, where a is the y-intercept and b is the slope. In this case, the slope of the regression line (b) is -12.201 and the y-intercept (a) is 2.1946. Therefore, the correct regression equation is Y' = -12.201 + 2.1946X, which is choice B.

A Sales Manager for an Advertising Agency Believes There Is