4.16 Table 4.10, which is the SoreThroat data le at the text website, shows results of a study about 3; : whether a patient having surgery with general anesthesia experienced a sore throat on waking (1 : yes, 0 : no) as a function of d : duration of the surgery Table 4.10 Data for Exercise 4.16 on sore throat after surgery. Patient d t y Patient 0! t 3; Patient d t y l 45 0 O 2 l 5 0 0 3 4O 0 l 4 33 1 l 5 90 1 l 6 25 1 l 7 35 0 l 8 65 0 l 9 95 0 1 10 35 0 l 11 75 0 l 12 45 1 l 13 50 l 0 l4 7 5 1 1 15 3O 0 0 16 25 0 l 1 7 20 1 0 l 8 6O 1 1 19 70 l l 20 30 0 l 21 60 0 1 22 61 0 O 23 65 0 l 24 15 1 O 25 20 l 0 26 45 0 l 27 15 1 0 28 25 0 l 29 15 1 0 30 30 0 1 3 1 40 0 l 32 15 1 0 33 1 35 1 l 34 20 l 0 35 4O 1 0 Source: Data from D. Collett, pp. 350358 in Encyclopedia of Biostatistics (Wiley: 1993). Predictors are d = duration of surgery, t 2 type of device. (in minutes) and t : type of device used to secure the airway (0 : laryngeal mask airway, l = tracheal tube). a. Fit a model permitting interaction between the explanatory variables. Report and interpret the prediction equation for the e'ect of a! when (i) t = 1, (ii) i = 0. Conduct inference about whether you need the interaction term