The points (0,5) and (5,10) fall on the regression line for a perfect positive linear relationship. What is the regression equation for this relationship?
A) Y' = X + 5
B) Y' = 5 X
C) Y' = 5 X + 10
D) cannot be determined from information given.

Question

Quizplus · Accepted Answer

The slope (m) of the line is calculated as (y2 - y1) / (x2 - x1) = (10 - 5) / (5 - 0) = 1. Using one of the points to solve for the y-intercept (b) in y = mx + b gives 5 = (1)(0) + b, so b = 5. Thus, the equation is Y' = X + 5.

The Points (0,5) and (5,10) Fall on the Regression Line