Reciprocal-predictor regression (source code)

= Reciprocal-predictor regression
{title2=$\mathbb E(Y\mid v)=\alpha+\beta/v$}

A reciprocal-predictor <linear regression> uses $\mathbb E(Y\mid v)=\alpha+\beta/v$ for nonzero predictor $v$. It remains linear in its coefficients. Its flattening shape can suit a saturating response over a positive predictor range; residual checks and <cross-validation> must assess adequacy, and extrapolation toward zero is hazardous.