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Math — Correlation & Covariance

Covariance, the Pearson and Spearman coefficients.

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\operatorname{cov}(X,Y) = E[(X-\mu_X)(Y-\mu_Y)]

r = \frac{\operatorname{cov}(X,Y)}{\sigma_X \sigma_Y}

-1 \leq r \leq 1

r_s = 1 - \frac{6\sum d_i^2}{n(n^2-1)}