Question

Determine the Pearson product-moment correlation coefficient for the following data.

x 1 10 9 8 4 3 2

y 10 4 4 5 7 7 10

Answer 1

X Values
∑ = 37
Mean = 5.286
∑(X - M_x)² = SS_x = 79.429

Y Values
∑ = 47
Mean = 6.714
∑(Y - M_y)² = SS_y = 39.429

X and Y Combined
N = 7
∑(X - M_x)(Y - M_y) = -53.429

R Calculation
r = ∑((X - M_y)(Y - M_x)) / √((SS_x)(SS_y))

r = -53.429 / √((79.429)(39.429)) = -0.9547