Question

Which equation is best represented by this graph? Type your answer in slope-intercept form (y=mx+b).
(-8, -5) (1,1) (7,2)

Answer 1

Compute the least-squares line. x̄ = (-8+1+7)/3 = 0, ȳ = (-5+1+2)/3 = -2/3.
Slope m = Σ(xi yi)/Σ(xi^2) = (40+1+14)/(64+1+49) = 55/114.
Intercept b = ȳ - m x̄ = -2/3.

Answer: y = (55/114)x - 2/3.