Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

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

Math Rendered as SVG

Math as LaTeX Source

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