Question

If the regression lines x and y are given by 2x – 3y = 0 and 47 – 5x – 8 = 0. Find the means of JC and y, also the coefficient of correlation.

Answer 1

2x – 3y = 0 and 4y – 5x – 8 = 0 

Solving both equations we get x and y. And so x̄,ȳ

Put y = – 2.286 in 2x – 3y = 0

2x – 3(-2.286) = 0

2x = 6.8568

∴ x = 3.4284

x̄ =3.4284, ȳ = -2.286

Consider, 2x – 3y = 0. be the regression of y on x :

3y = 2x + 0

y = 2/3x + 0

 ∴ b_yx = 2/3

And 4y – 5x = 8 be the regression equation g x on J18

5x = 44 – 8

x =4/5y - 8/5x

∴ b_xy = 4/5

The coefficient of correlation is :