1} A stud}r was conducted to investigate the association between age and C(H'OIIHIY heart disease {CHE}- The data in the table below shows the ninnber of participants with and without CHD for eight age groups. CHD AGE {rt} Yes No 24.5 1 9 32 2 13 3? 3 9 42 5 1|] 4? 5 T 52 5 3 5? 13 4 134.5 8 2 Let 95- be the number yes in each row and t a logistic regression model for a linear trend [use the actual age {mi} values given, not 11 2, . . . , 8] y; N Binomial{m. Pi} log( 11.- )ZCE-l-ii i=1,...,N 130,: a} Make a seatterplot of :1: versus the sample logits [turn in seatterplot). Does there appear to be a linear trend? b} What is 02 {Residual Deviance) and the degrees of freedom for this model? Does the model t well? Explain. e} For a 1!} year inmease in ageJ what is the estimated odds ratio of ooronary heart disease? Calculate a 95% eondenee interval for the odds ratio