Covariance and Corellation

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Calculating Covariance Cigare ttes (X) dX dXdY dY Lung Capacity (Y) 0 -10 -90 +9 45 5 -5 -30 +6 42 10 0 0 -3 33 15 +5 -25 -5 31 20 +10 -70 -7 29 215 -

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Covariance and Corellation

Transcript of Covariance and Corellation

Calculating Covariance

Calculating CovarianceCigarettes (X)dXdXdYdYLung Capacity (Y)0-10-90+9455-5-30+6421000-33315+5-25-53120+10-70-729

Calculating CovarianceSo we obtain

Computational Formula for CorrelationBy substituting and rearranging, you obtain a substantial (and not very transparent) formula for

Computing a correlationCigarettes (X) XYLung Capacity (Y)0 0 02025455 2521017644210100330108933152254659613120400580841295075015856680180

Computing a Correlation