In a study of cheddar cheese from the LaTrobe Valley of Victoria, Australia, samples of cheese were analyzed for their chemical composition and were subjected to taste tests. Overall taste scores were obtained by combining the scores from several tasters. This data is contained in the cheddar dataset from the Faraway package in R. Let the outcome be taste, the score of the corresponding taste test, and let Acetic, H2S, and Lactic be the three predictors.(a) Use an F test to determine if at least one of the predictors is significantly different from zero.(b) Remove all predictors that are not significant at ? 0.05. Compare that sub model to the full model using an F-test, which model is preferred?(c) Using the full model, construct a 90% bootstrap confidence interval for H25.