Covariance

Covariance: use x observations, y observations, estimator. Review the formula, worked example and calculation steps.

Inputs

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RESULT
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Formula & explanation
Cov = Σ[(x−x̄)(y−ȳ)] / (n−1 for sample; n for population)

Variables & units

X observations
comma separated
Y observations
comma separated
Estimator
Select an option

Worked example

Sample covariance of [1,2,3] and [2,4,6] is 2.

Assumptions

Covariance has combined units; its magnitude is not a normalized association measure.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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