4) The table below shows the data (source: Agresti, Collectt ) from a study about y = Whether a patient having surgery experienced a sore throat on waking (1 = yes, 0 = no) as a function of d = duration of the surgery {in minutes} and t = type of device used to secure the airway (l = tracheal tube, 0 = laryngeal mask airway). i) Fit a logistic regression model logitt} = a + End and interpret the estimate of {3. ii) What is the estimated probability of experiencing a sore throat on waking if the duration of the surgery is half an hour. iii) Use the likelihood ratio test to test the goodness of t of the model. iv) Fit a logistic regression model logit(rt) = a + t and interpret the estimate of I3