= \sqrt{\textrm{mean-sq-err}}.
\]</span></p>
</section>
<section id="predictive-estimates-in-stan" class="level3 unnumbered">
<h3 class="unnumbered anchored" data-anchor-id="predictive-estimates-in-stan">Predictive estimates in Stan</h3>
<p>Consider a simple linear regression model, parameters for the intercept <span class="math inline">\(\alpha\)</span> and slope <span class="math inline">\(\beta\)</span>, along with predictors <span class="math inline">\(\tilde{x}_n\)</span>. The standard Bayesian estimat