Consider the following data:
x 0 –2 1 1 2
y 2 –2 5 4 8
Find an equation of the least squares regression line.
Please show step by step calculations and explain what chart(s) you used.
Solution
x = 2
y = 17
x^2 = 10
y^2 = 113
xy = 29
0 = (y.x^2 - x.xy)/n(xy - (x)^2)
0 = (17.10 - 2.29)/5(29 - 4)
0 = 112/125 = 0.896
1 = (nx^2 - x.y)/n(xy - (x)^2)
1 = (5.10 - 2.17)/5.25 = 16/125 = 0.128
so the regression line is
y = 0.128x+0.896