Find the correlation coefficient, r, of the data described below,
1 answer:
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
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