The Geometric Meaning of Covariance

A geometric approach to understanding covariance as used in statistics and data science.

James Moody
Towards Data Science
5 min readDec 4, 2019

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You might have seen a formula like this before for “sample covariance” for a sample of size N:

Heuristically, covariance is telling us something about how much the random variables X and Y “move together” or “co-vary” (as opposed…

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