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Unit 6.1

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Submitted By gurgru27
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KeyX: X ValuesY: Y ValuesMx: Mean of X ValuesMy: Mean of Y ValuesX - Mx & Y - My: Deviation scores(X - Mx)2 & (Y - My)2: Deviation Squared(X - Mx)(Y - My): Product of Deviation Scores |

X - Mx Y - My (X - Mx)2 (Y - My)2 (X - Mx)(Y - My) 141.00033.000-27.00066.00029.000-6.000-236.000Mx: 22.000 | 0.0950.0330.027-0.023-0.0100.002-0.121My: 0.504 | 19881.0001089.000729.0004356.000841.00036.00055696.000Sum: 82628.000 | 0.0090.0010.0010.0010.0000.0000.015Sum: 0.026 | 13.3351.075-0.717-1.546-0.302-0.00928.657Sum: 40.491 |
X Values
∑ = 154
Mean = 22
∑(X - Mx)2 = SSx = 82628

Y Values
∑ = 3.531
Mean = 0.504
∑(Y - My)2 = SSy = 0.026

X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 40.491

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

r = 40.491 / √((82628)(0.026)) = 0.8717

Meta Numerics (cross-check) r = 0.8717
This is a strong positive correlation
The P-Value is 0.010696. The result is significant at p < 0.05.
2.
X - Mx Y - My (X - Mx)2 (Y - My)2 (X - Mx)(Y - My) -134.250171.75087.750-152.250183.75015.750-56.250-116.250Mx: 1016.250 | -11.05012.5503.550-4.4507.8501.850-9.150-1.150My: 80.750 | 18023.06229498.0627700.06223180.06233764.062248.0623164.06213514.062Sum: 129091.500 | 122.103157.50212.60219.80361.6223.42283.7231.323Sum: 462.100 | 1483.4632155.462311.512677.5131442.43729.137514.688133.688Sum: 6747.900 |

X Values

∑ = 8130
Mean = 1016.25
∑(X - Mx)2 = SSx = 129091.5

Y Values
∑ = 646
Mean = 80.75
∑(Y - My)2 = SSy = 462.1

X and Y Combined
N = 8
∑(X - Mx)(Y - My) = 6747.9

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

r = 6747.9 / √((129091.5)(462.1)) = 0.8737

Meta Numerics (cross-check) r = 0.8737
The P-Value is 0.004572. The result is significant at p < 0.05.
3.

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