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BUAD 2070, Essentials of Business Statistics and Analytics Assignment on Logistic Regression The Titanic was a British luxury passenger liner that sank when it struck

BUAD 2070, Essentials of Business Statistics and Analytics Assignment on Logistic Regression The Titanic was a British luxury passenger liner that sank when it struck an iceberg about 640 km south of Newfoundland on April 14-15, 1912, on its maiden voyage to New York City from Southampton, England. Of 2201 known passengers and crew, only 711 survived. The following data classify the people on board the ship according to the following categorical explanatory variables: Class (crew or economic status of passengers), Age, and Sex. Not all combinations of the three variables occur in the data, since no children were members of the crew. Class Crew Crew First First First First Second Second Second Second Third Third Third Third Age Adult Adult Child Child Adult Adult Child Child Adult Adult Child Child Adult Adult Sex Female Male Female Male Female Male Female Male Female Male Female Male Female Male Total Survived 20 192 1 5 140 57 13 11 80 14 14 13 76 75 711 Not Survived 3 670 0 0 4 118 0 0 13 154 17 35 89 387 1490 Total 23 862 1 5 144 175 13 11 93 168 31 48 165 462 2201 The attached Excel file \"Titanic\" characterizes all 2201 passengers and crew. Report 1. Prepare an Excel data for running logistic regression in order to estimate the probability of surviving. 2. Find a logistic regression equation (logistic function) to estimate the probability of surviving. 3. Compute the estimated probabilities of the events \"Kate survives\" and \"Leonardo survives\". What is your estimated probability of the event \"Kate survives and Leonardo dies\"? How realistic is the event \"Kate dies and Leonardo survives\"? Summarize your finding and feel free to estimate other probabilities. Recall here that in the movie Titanic (1997), Kate Winslet played Rose DeWitt Bukater (a first class adult female passenger), while Leonardo DiCaprio played Jack Dawson (a third class adult male passenger). Instructions Re: Task 1. Describe the consecutive worksheets in the file \"Titanic\". Re: Task 2. Run Logistic Regression in XLMiner. (XLMiner Platform > Classify > Logistic Regression). Write the obtained logit (log odds) equation and the resulting logistic function. Re: Task 3. Let = \"Kate survives\" and = \"Leonardo survives\". Using the logistic function found in Task 2, compute () and (). Assume, for simplicity, the independence of events and , that is, ( and ) = ( ) = () (). Compute ( ) = () ( ) and ( ) = ( ) (), where and denote the compliments of and , respectively. (You might need to review Chapter 4, \"Introduction to Probability\" studied in BUAD 2060.) Provide the interpretations of ( ) and ( ). Write your report in MS Word. (I will not accept, for example, pdf files etc.) Paste relevant parts of XLMiner outputs into your report. 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Yes Yes Yes First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First First Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Adult Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No First First First First First First First First First 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