Problema Solution

Find the equation of the regression line.

x 10 8 7 12 14 5

y 20 19 17 25 28 9

Answer provided by our tutors

Y = 1.92771x + 1.67470

_____

y = βx + α


For your numbers, I get

∑x = 56, ∑y = 118,

∑xy = 1208, ∑x2 = 578, n = 6


β = (n∑xy - ∑x∑y)/(n∑x2 - (∑x)2) = 640/332

α = (∑x2∑y - ∑x∑xy)/(n∑x2 - (∑x)2) = 556/332