R^\ast\)</span> where <span class="math inline">\(Q^\ast = Q * \sqrt{n - 1}\)</span> and <span class="math inline">\(R^\ast = \frac{1}{\sqrt{n - 1}} R\)</span>. Thus, we can equivalently write <span class="math inline">\(\eta = x \beta = Q R \beta = Q^\ast R^\ast \beta\)</span>. If we let <span class="math inline">\(\theta = R^\ast \beta\)</span>, then we have <span class="math inline">\(\eta = Q^\ast \theta\)</span> and <span class="math inline">\(\beta = R^{\ast^{-1}} \theta\)</span>. In that case, the pr