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fix: Sign typo in SLR proof
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P/slr-ols.md

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@@ -124,7 +124,7 @@ $$ \label{eq:slr-ols-sl-den}
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\begin{split}
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\sum_{i=1}^n x_i^2 - \bar{x} \sum_{i=1}^n x_i &= \sum_{i=1}^n x_i^2 - n \bar{x}^2 \\
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&= \sum_{i=1}^n x_i^2 - 2 n \bar{x} \bar{x} + n \bar{x}^2 \\
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&= \sum_{i=1}^n x_i^2 - 2 \bar{x} \sum_{i=1}^n x_i - \sum_{i=1}^n \bar{x}^2 \\
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&= \sum_{i=1}^n x_i^2 - 2 \bar{x} \sum_{i=1}^n x_i + \sum_{i=1}^n \bar{x}^2 \\
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&= \sum_{i=1}^n \left( x_i^2 - 2 \bar{x} x_i + \bar{x}^2 \right) \\
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&= \sum_{i=1}^n (x_i - \bar{x})^2 \; .
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\end{split}
@@ -141,4 +141,4 @@ $$ \label{eq:slr-ols-sl-qed}
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\end{split}
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$$
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Together, \eqref{eq:slr-ols-int} and \eqref{eq:slr-ols-sl-qed} constitute the ordinary least squares parameter estimates for simple linear regression.
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Together, \eqref{eq:slr-ols-int} and \eqref{eq:slr-ols-sl-qed} constitute the ordinary least squares parameter estimates for simple linear regression.

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