Alternative Equation Formats

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

MathML

β ~ = ( X ′ X ) − 1 X ′ y = ( X ′ X ) − 1 X ′ ( X β + ϵ ) = β + ( X ′ X ) − 1 X ′ ϵ

Math Rendered as SVG

Math as LaTeX Source

\[ \tilde{\bbeta } = (\mb{X} ^{'}\mb{X} )^{-1}\mb{X} ^{'}\mb{y} = (\mb{X} ^{'}\mb{X} )^{-1}\mb{X} ^{'}(\mb{X} \bbeta + \bepsilon ) = \beta + (\mb{X} ^{'}\mb{X} )^{-1}\mb{X} ^{'}\bepsilon \]
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