Alternative Equation Formats

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MathML

\begin{aligned} E [\hat{β}] = & E [{(X^{'} X)}^{- 1} X^{'} Y] \\ = & {(X^{'} X)}^{- 1} X^{'} E [Y] = {(X^{'} X)}^{- 1} X^{'} X β = β \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mr{E}[\widehat{\bbeta }] =& \mr{E}\left[\left(\bX '\bX \right)^{-1}\bX '\bY \right] \\ =& \left(\bX '\bX \right)^{-1}\bX '\mr{E}[\bY ] = \left(\bX '\bX \right)^{-1}\bX '\bX \bbeta = \bbeta \end{align*}