Question

Determine the correlation coefficient (r) for the linear relationship below.

Answer 1

Answer:

X Values

∑ = 53.5

Mean = 10.7

∑(X - Mx)2 = SSx = 151.086

Y Values

∑ = 6.9

Mean = 1.38

∑(Y - My)2 = SSy = 3.788

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 23.711

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 23.711 / √((151.086)(3.788)) = 0.9911

So r= 0.9911 or 99.11%