Use R code:

#install.packages("faraway")

library(faraway)

data(fat, package="faraway")

Problem 2 For the fat data fit a model using brozek as the response variable and only on age, weight, height, and abdom because these predictors are either known by the individual or easily measured. a) Construct a 90% confidence interval for Bage and interpret it. b) Compute a 95% confidence interval for median predictor values and compare to the results to the interval for the full model which contains all 13 predictor variables as we did in class. c) Compute a 95% prediction interval for median predictor values. Is the interval wider or narrower comparing to the confidence interval on mean response at the same confidence level? Problem 2 For the fat data fit a model using brozek as the response variable and only on age, weight, height, and abdom because these predictors are either known by the individual or easily measured. a) Construct a 90% confidence interval for Bage and interpret it. b) Compute a 95% confidence interval for median predictor values and compare to the results to the interval for the full model which contains all 13 predictor variables as we did in class. c) Compute a 95% prediction interval for median predictor values. Is the interval wider or narrower comparing to the confidence interval on mean response at the same confidence level