The o-ring faiure data from the Challenger accident in 1986 shows the total numb
ID: 3336808 • Letter: T
Question
The o-ring faiure data from the Challenger accident in 1986 shows the total number of failures for each launch and the ambient temperature (in "F) at launch. A failure represents a burned section of an o-ring. The o-rings were used to seal the rocket booster sections. Ord nary regression was usad to fit the relationship with the number of falures Y as a inear function of the temperature t: with ~N(L 2). The parameter estimates are given below: > fit.0 1m (tallure s-temp , data-na.om1t(oring) ) print (xtable (tab, digita-4,sanitize.tex-function() x, flosting FAISE) Estimate Std. Error t value Pr--) 4.7937 1.4093 3.4015 0.0027 -00627 0.0202-3.1082 0.0053 The confidence interval on 1.66 for t-so was: library(xtable conf.int - predict fit.o, daca.frame Itemp-50),interval-"confidence" print(xtable (conf, int),eloatingzFALSE) t wr upr 1 1.68 0.79 2.53 The prediction interval on = 1.66 for-50 was library (Xtable > > pred-int predictifit.o, data. frame i temp-50),interval-"prediction") print (xtable (pred.int), floating EALSE) 11.66 0.02 3.30 Which of the following is a maior deficency of the prediction for at t = 50? 0 a. The prediction interval for Y very wide. O b. The prediction for Y results in an impossble value. C. The prediction interval for is wider than the confidence interval for . Od The prediction for r depends on e There is no deficiency in the prediction ofrExplanation / Answer
The definiciency in prediction of Y is that the range of prediction interval is very wide.
Option a is correct.