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You could insert alignment characters (&), or use a \parbox.

$$
\begin{aligned}
& \mathrm F_{test} = \frac{(\mathrm n-2) \ \mathrm S_{y/x,lin}^2 \ - \ (\mathrm n-3) \ \mathrm S_{y/x,non}^2}{\mathrm S_{y/x,non}^2}
\\
& \text{where} \\
& \mathrm S \ \text{is the standard error of the regression} \\
& lin \ \text{for the straight line model} \\
& non \ \text{for the quadratic model.}
\end{aligned}
$$

$$
\begin{aligned}
\mathrm F_{test} = \frac{(\mathrm n-2) \ \mathrm S_{y/x,lin}^2 \ - \ (\mathrm n-3) \ \mathrm S_{y/x,non}^2}{\mathrm S_{y/x,non}^2}
\\
\parbox{72mm}{where $\mathrm S$ is the standard error of the regression, $lin$ for the straight line model, 
$non$ for the quadratic model.}
\…

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@JauntyJJS
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math any issue related to math support in specific formats
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