The o-ring failure data from the Challenger accident in 1986 shows the total num

Question

The o-ring failure 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. Ordinary regression was used to fit the relationship with the number of failures Y as a linear function of the temperature t :

with Y~N(«,02). The parameter estimates are given below: > fit. tab dimnames (tab) 1 print (xtable (tab, digits=4), sanitize . tex=function (x) x, floating=FALSE) Estimate Std. Error t value Pr(> -t-) a 4.7937 1.4093 3.4015 0.0027 -0.0627 0.0202-3.1082 0.0053 The confidence interval on -1.66 for t = 50 was > library (xtable) > conf. int print (xtable (conf.int), floating FALSE) fit wr upr 11.66 0.79 2.53 The prediction interval on Y= 1.66 for t = 50 was > library (xtable) > pred. int print (xtable (pred.int),floating FALSE) fit wr upr 1 1.66 0.02 3.30 For this model, what is the link function? a. Identity b. Inverse c. Square root 0 d. Log

Explanation / Answer

The sqrt link is mainly used for the purpose of comparing with an older analysis where a square root transform was used in order to apply least squares regression. By using the square root link you can fit a model of the same functional form but with full ML estimation of the parameters

C option

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