Question 4 (23 marks] This question must not be answered using R. Further, you must show all steps to get full marks. Yo

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Question 4 23 Marks This Question Must Not Be Answered Using R Further You Must Show All Steps To Get Full Marks Yo 1 (40.21 KiB) Viewed 60 times

Question 4 (23 marks] This question must not be answered using R. Further, you must show all steps to get full marks. You have been asked to analyse some data about start-up companies on the Gold Coast and specifically whether those that go through the Bond Transformer (BT) survive longer The following data lists the survival of student-start-ups (in months) on the Gold Coast, where * indicates that the company is still operating: Gone Through BT Program: 7,204,7,14 Not Gone Through Program: 8,5",9. a) Formulate a Cox Proportional Hazards model that allows the survival distribution to vary depending on whether the start-up has gone through the BT. Clearly define your model (that means an equation with all terms defined) [3 marks). Then, determine the maximum partial likelihood estimate of the model (9 marks). You must also demonstrate that your answer is the maximum (not minimum) partial likelihood estimate 2 marks). b) Based on your answer to part (a), justify whether the BT is successfully increasing the survival of student-start-ups. Be as specific as you can about the nature of the influence. [1 marks] c) Assume that using the model from part (). Horrocks Transport has a 39.3% chance of failing after 12 weeks. Using the same model, what is the chance that Cornwell Trucking is still operating after 12 weeks? The only notable difference between Horrocks Transport and Cornwell Trucking is that Cornwell Trucking completed BT, while Horrocks Transport did not. (5 marks]