14. A liver specialist has come to you with data relating the number of alcoholic beverages per week for each subject to the chances that they have developed liver disease (within some long followup period). The study controlled for the effects of Age as well as overall fitness level. Fitness with a high value indicating a very fit subject. The results of a logistic regression used in the study were: Call: glmtformula = Y " Age + Drinks + Fitness, family = binomial(link='logit')) Coefcients: Estimate Std. Error 2 value Pr(>| 2|) (Intercept) 2.8436 5.1508 0.552 0.58090 Age -0.0993 0.1028 -0.966 0.33418 Drinks 0.1601 0.1208 1.325 0.18503 Fitness -0.7584 0.2411 -3.146 0.00166 (a) What is the estimated probability that a 50year old who drinks 5 drinks a week of fitness level 3 will develop liver disease? [5] lb) Redo this calculation for a 50year old of the same fitness level who does not drink any alcoholic beverages? [5] (cl Using an odds ratio, approximate how many more times likely is the adult who drinks 5 drinks likely to develop liver disease than the person who drinks none? [5]