Table, which is the SoreThroat data file at the text website, shows results of a study about y = whether a patient having surgery with general anesthesia experienced a sore throat on waking (1 = yes,...

Table, which is the SoreThroat data file at the text website, shows results of a study about y = 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 (in minutes) and t = type of device used to secure the airway (0 = laryngeal mask airway, 1 = tracheal tube).

a. Fit a model permitting interaction between the explanatory variables. Report and interpret the prediction equation for the effect of d when (i) t = 1, (ii) t = 0. Conduct inference about whether you need the interaction term.

b. Compare the predictive power of models with and without the interaction term by finding the correlation R between the observed and fitted values for each model.