answer with R code if necessary

Chick Diet weight. 0 weight. 2 weight. 4 weight. 6 weight. 8 weight. 10 weight. 12 weight. 14 weight. 16 weight. 18 weight. 20 weight. 21 weight,ave 123456711111114240434241414151493949424949595855564859576472676760747176848474799789931039987106124112106122115102141141146125138138108164148174149162163136197155218171187187154199160250199209198160220160288205215202157223157305118127.181818181818122.454545454545104.545454545455134.454545454545120.363636363636159.909090909091 101414452637481899610111212012486.9090909090909 1314114141484953626079651016712871164701927122781248912599626670.2727272727273161.363636363636 24242525874666870717272767468.4545454545455 25240496278102124146164197231259265152.454545454545 2624248577493114136147169205236251139.090909090909 2723946587387100115123144163185192116.909090909091 2823946587392114145156184207212233138.181818181818 2923948597487106134150187230279309151.181818181818 35241536487123158201238287332361373207 3824149617498109128154192232280290151.545454545455 3924250617889109130146170214250272142.636363636364 40241556679101120154182215262295321168.181818181818 41242516685103124155153175184199204136.272727272727 42242496384103126160174204234269281158.818181818182 46240526282101120144156173210231238142.636363636364 48239506280104125154170222261303322168.454545454545 This dataset is a slighly modified ChickWeight dataset in R packge nlme. The body weights of the chicks were measured at birth and every second day thereafter until day 20 . They were also measured on day 21 . Chicks were randomized to two protein diets, indicated by the variable Diet. A chick's average weight between day 2 and day 21 is indicated by the variable weight.ave. 1. Suppose we are interested in exploring the association between diet and average weight. Fit the following four statistical models with average weight as the outcome and diet as the predictor. For each model, write down (1) the link function, (2) the variance function, (3) the coefficient table, and (4) the interpretation of the coefficient estimate for diet, including its 95% confidence interval. (5) Based on the above results, what can you conclude about the association between diet and average weight at a significance level of 0.05 ? (a) A Gaussian GLM with identity link (i.e., a linear regression) (b) A Gaussian GLM with log link (c) A Gamma GLM with inverse link