Fit Poisson regression model of number of deaths from lung cancer Fit Poisson regression model of number of deaths from lung cancer using age and smoking status. Use natural logarithm of the variable population as an offset variable.Report the prediction equation and interpret ßConstruct a 95% confidence intervalUse ß to describe the effect of age and smoking. Construct a 95% confidence interval for ß and for the multiplicative effect of a 1 unit increase.Conduct a Wald test of the hypothesis that the mean of Y is independent of smoking and age. Interpret.Conduct a likelihood-ratio test. Interpret.Name of dataset: smoking_lung.txt This dataset has information from a Canadian study of mortality by age and smoking status. The dataset has five columns. sn: serial number (numeric)age at the start of follow-up: in five-year age groups coded 1 to 9 for 40-44, 45-49, 50-54, 55-59, 60-64, 65-69, 70-74, 75-79, 80+. (string)smoke: coded 1 = never smoked, 2 = smoked cigars or pipe only, 3 = smoked cigarettes and cigar or pipe, and 4 = smoked cigarettes only, (string)population (pop): number of male pensioners followed. (numeric)deaths: number of deaths in a six-year period. (numeric)[Note that you need to generate a new variable at the beginning for log population using the code:lpop = log(population);]The smoke_lung dataset snagesmokepopdead140-44no65618245-59no35922350-54no24919455-59no63255560-64no1067117665-69no897170770-74no668179875-79no361120980+no2741201040-44cigarPipeOnly14521145-59cigarPipeOnly10441250-54cigarPipeOnly9831355-59cigarPipeOnly372381460-64cigarPipeOnly8461131565-69cigarPipeOnly9491731670-74cigarPipeOnly8242121775-79cigarPipeOnly6672431880+cigarPipeOnly5372531940-44cigarrettePlus45311492045-59cigarrettePlus30301692150-54cigarrettePlus22671932255-59cigarrettePlus46825762360-64cigarrettePlus605210012465-69cigarrettePlus38809012570-74cigarrettePlus20336132675-79cigarrettePlus8713372780+cigarrettePlus3451892840-44cigarretteOnly34101242945-59cigarretteOnly22391403050-54cigarretteOnly18511873155-59cigarretteOnly32705143260-64cigarretteOnly37917783365-69cigarretteOnly24216893470-74cigarretteOnly11954323575-79cigarretteOnly4362143680+cigarretteOnly11363Science Health Science PHC 6708
