Alternative Equation Formats

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

MathML

V a r ({\hat{β}}_{1}) = σ_{y}^{2} {(X^{'} X)}_{(11)}^{- 1} = σ_{y}^{2} \frac{1}{N σ_{x}^{2} (1 - r_{x}^{2})}

MathML rendered with MathJax

V a r ({\hat{β}}_{1}) = σ_{y}^{2} {(X^{'} X)}_{(11)}^{- 1} = σ_{y}^{2} \frac{1}{N σ_{x}^{2} (1 - r_{x}^{2})}

Math as LaTeX Source

\[ \mr{Var}( {\hat{\beta }}_{1} ) = \sigma ^{2}_{y} \, {( \mb{X}' \mb{X} )}^{-1}_{(11)} = \sigma ^{2}_{y} \, \frac{1}{N \, \sigma ^{2}_{x} \, (1 - r^{2}_{x}) } \]