By analogy with the discussion in Exercise 13.46, when two different prediction intervals are computed, each at the 95% prediction level, the simultaneous prediction level is at least [100 − 2(5)]% = 90%.

a. Return to Exercise 13.46 and obtain prediction intervals for sunburn index both when distance is 35 cm and when distance is 45 cm, so that the simultaneous prediction level is at least 90%.

b. If three different 99% prediction intervals are calculated for distances (cm) of 35, 40, and 45, respectively, what can be said about the simultaneous prediction level?

Data from Exercises 46

A regression of y = sunburn index for a pea plant on x = distance from an ultraviolet light source was considered in Exercise 13.22. The data and summary statistics presented there give

Data from Exercises 22

The article “Effects of Enhanced UV-B Radiation on Ribulose-1,5-Biphosphate, Carboxylase in Pea and Soybean” (Environmental and Experimental Botany [1984]: 131–143) included the accompanying data on pea plants, with y = sunburn index and x = distance (cm) from an ultraviolet light source.

Estimate the mean change in the sunburn index associated with an increase of 1 cm in distance in a way that includes information about the precision of estimation.

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n = 15 b = -.0565 x = 40.60 a = 4.500 (xx)² = 3311.60 SSResid= .8430