A scatter diagram includes the data points (x 2, y 10), (x 3, y 12), (x 4, y 20), and (x 5, y 16) Two regression lines are proposed (1) 10 x, and (2) 8 2x Using the least squares criterion, which of these regression lines is the better fit to the data Why ...

The tables below show the calculations for for the two lines Let 10 x x y 2 10 12 2 4 3 12 13 1 1 4 ...

A scatter diagram includes the data points (x = 2, y = 10), (x = 3, y

Question:

A scatter diagram includes the data points (x = 2, y = 10), (x = 3, y = 12), (x = 4, y = 20), and (x = 5, y = 16). Two regression lines are proposed: (1) ŷ = 10 + x, and (2) ŷ = 8 + 2x. Using the least-squares criterion, which of these regression lines is the better fit to the data? Why?