QUESTION 3 A medical experiment has been carried out to build a model for predicting a deformation D in young patients after a certain type of medical surgery. The dataset includes the following information for each patient under study: D deformation (deformation or normal), Age (in months), Number (the number of parts involved), and Position (the position of the topmost part operated on). With reference to the information above, answer all of the following questions. a) Suppose you want to fit a logistic regression model with three predictors: Age, Number, and Position. Write down the mathematical equation of the logistic regression model. (2 marks) You are given the following output after fitting the logistic regression model in Q3(a). Coefficient estimate Intercept -2.04 Age 0.01 Number 0.41 Position -0.21 (b) Explain whether you predict that a young patient with the characteristics (i.e., Age =1, Number=2, Position = 10) will have deformation D. [max 80 words] (4 marks)