Homework Answers
Solution:
1)
X Values
∑ = 811
Mean = 73.727
∑(X - Mx)2 = SSx = 472.182
Y Values
∑ = 226
Mean = 20.545
∑(Y - My)2 = SSy = 222.727
X and Y Combined
N = 11
∑(X - Mx)(Y - My) = -88.364
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -88.364 / √((472.182)(222.727)) = -0.2725
Meta Numerics (cross-check)
r = -0.2725
r critical = 0.685
b)
X Values
∑ = 8043
Mean = 1005.375
∑(X - Mx)2 = SSx = 151509.875
Y Values
∑ = 653
Mean = 81.625
∑(Y - My)2 = SSy = 259.315
X and Y Combined
N = 8
∑(X - Mx)(Y - My) = 2536.325
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 2536.325 / √((151509.875)(259.315)) = 0.4046
Meta Numerics (cross-check)
r = 0.4046
C)
X Values
∑ = 178
Mean = 19.778
∑(X - Mx)2 = SSx = 153.556
Y Values
∑ = 107
Mean = 11.889
∑(Y - My)2 = SSy = 160.889
X and Y Combined
N = 9
∑(X - Mx)(Y - My) = 110.778
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 110.778 / √((153.556)(160.889)) = 0.7048
Meta Numerics (cross-check)
r = 0.7048
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