Question

Eight observations on each of two variables x and y are given below:

1. obtain two regression equation and 

2. Find γ_xy

Answer 1

pregression equation of y on x:

y – 80 = 0.1643(x – 400)

= 0.1643x – 0.1643 × 400

= 0.1643x – 65.72+80

∴ y = 0.1643x + 14.28

Equation y when x = 70

x = 605 (70) – 84 = 423.5 – 84

∴ x = 339.5

Equation y when x = 650

y = 0.1643(650) + 14.28 = 106.795 + 14.28

y = 121.075