Bivariate

Consider two numerica random variables $X$ and $Y$. We can measure their covariance.

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The correlation of two random variables measures the line dependent between $X$ and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cor(X, Y) = \rho = \frac{Cov(X,Y)}{sd(X) sd(Y)} }

Bivariate Normal

Scatterplots of bivariate normal distribution

The bivariate normal is one special type of continuous random variable.