Question

Find the correlation coefficient, r, of the data described below,

Answer 1

Answer:

r = 0.7575

Explanation:

Result Details & Calculation

This is a strong positive correlation, which means that high X variable scores go with high Y variable scores (and vice versa).

X Values

∑ = 78

Mean = 15.6

∑(X - Mx)2 = SSx = 337.2

Y Values

∑ = 428

Mean = 85.6

∑(Y - My)2 = SSy = 57.2

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 105.2

R Calculation

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

r = 105.2 / √((337.2)(57.2)) = 0.7575

Meta Numerics (cross-check)

r = 0.7575