A Further Problem of Interval Estimation of an Unknown Regressor in Model I of Linear Regression

For the model y = α + β x + ϵ (model I) of linear regression we dealt with in K UHNERT and H ORN (1980) the determination of a confidence interval for that x 0 where the expectation E y reaches a given value y 0 . Here we start with realizations of random variables y   * i( i = 1,…, m ) being independent of x which are given in addition to the realizations of‐ y . Now y 0 denotes the unknown value of \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \sum \limits_{i = 1}^m $\end{document} ci E y   * iand x 0 the x ‐value where the expectation E y reaches that value y 0 . For this x 0 we give a confidence interval. Applications stem from dose response assays.