Question

Which two points should the line of best fit go through to best represent the data in the scatterplot?

A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).
(1, 3) and (2, 7)
(1, 3) and (6, 13)
(3, 8) and (5, 12)
(5, 12) and (6, 13)

Answer 1

(3, 8) and (5, 12)

Reason: the mean point is (x̄,ȳ) = (3.5, 9). The line through (3,8) and (5,12) has slope 2 and equation y = 2x + 2, which passes through (3.5, 9), so it best represents the data.