Show your work; Explain all logic used. An answer without explanation will not receive credit. Each subquestion must be answered in the space provided. Specify which subquestion you are answering - a, b, c or d. Please have a clear separator between the subquestions (leave enough space, for example). An insurance company has examined a random sample of 190 automobile accident claims for fraud. A logistic regression model is fitted to this data with the dependent variable being coded as '1' for any cas that is fraudulent, and as '0' otherwise. The five independent (predictor) variables included in the model are: Variable Name Variable Description 1 if the claimant lived in a large city, 0 otherwise 1 if male, 0 if female Age in years 1 if the fault in the accident was that of the policy holder, 0 otherwise Deductible Amount (in dollars) The model estimated from training data is In =53.119-0.081 CityCode + 0.367Gender + 0.060Age - 1.738FaultCode - 0. 142Deductible Given that e^( - 0.081) =0.922, e^0.367= 1.443, e^0.060= 1.062, e^( - 1.738) =0.176, and e^( - 0. 142) =0.868, answer the following questions. a. [10 points] Are males more or less likely to commit fraud? How much more or less likely are they to commit fraud? Explain. b. [10 points] Do the odds for fraud increase or decrease with age? What is the extent of the increase or decrease for each extra year? Explain. c. [10 points] Describe in words the claimant represented by the constant term 53.119 - i.e., what are the characteristics of this claimant, with regard to the 5 independent variables? Does this claimant make sense in the context of the problem? Explain. d. [20 points] What is the probability of fraud in a claim by a male policyholder aged 30 years, who lives in a major city, has a deductible of $400 and who was not at fault in the accident? Explain your reasoning. a. Note: If your answer involves terms like e" for some value x, you do not have to calculate the value of e" - you can leave your answer in terms of e" . For example, if your answer is 3te (which it should not be!), you can leave your final answer as 3+es