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 ^ 1 = ( i = 1 n ( Y i Y ¯ ) i = 1 n ( x i x ¯ ) ) / i = 1 n ( x i x ¯ ) 2 β ^ 0 = Y ¯ β ^ 1 x ¯

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \widehat{\beta }_1 & = \left( \sum _{i=1}^ n \left(Y_ i-\overline{Y}\right) \sum _{i=1}^ n \left(x_ i-\overline{x}\right) \right) \Big/ \sum _{i=1}^ n \left(x_ i-\overline{x}\right)^2 \\ \widehat{\beta }_0 & = \overline{Y} - \widehat{\beta }_1\overline{x} \end{align*}