Question

Find correlation coefficient from following results :
η = 10, Σx = 140, Σy = 150
2(x-10)2 = 180, E(y - 15)2 = 215
(x-10) (y - 15) = 60
[Ans. :​

Answer 1

Answer: 0.915

Explanation:

∑(x−10)2=180=∑dx2=180

∑(y−15)2=215=∑dy2=215

∑(x−10)(y−15)=60=∑dxdy=60

Now,

x¯∴14∴∑dx=A+∑dxN=10+∑dx10=40

Similarly,

y¯∴15∴∑dy=B+∑dyN=15+∑dy10=0

γ=∑dxdy−∑dxdyN∑dx2−(∑dx)2N−−−−−−−−−−−−−−√∑dy2−(∑dy)2N−−−−−−−−−−−−−−√

γ=60−40×010180−(40)210−−−−−−−−−−√215−(0)210−−−−−−−−−√

=6020−−√215−−−√=0.915