With reference to Exercise 11.3, express \(90 \%\) limits of prediction for the tearing strength in terms of the temperature \(x_{0}\). Choosing suitable values of \(x_{0}\), sketch graphs of the loci of upper and lower limits of prediction on the diagram of part (a) of Exercise 11.3. Note that since any two sets of limits of prediction obtained from these bands are dependent, they should be used only for a single temperature \(x_{0}\).

Data From Exercise 11.3

11.13 With reference to the preceding exercise, find 99% limits of prediction for the level of air pollution when the flow of vehicles is 30%. Also indicate to what ex- tent the width of the interval is affected by the size of the sample and to what extent it is affected by the in- herent variability of the data.