Question 1 5 pts Problem 1 - Logistic Regression Question 1a: Linear regression on a binary classification is a problem because predictions can range outside of 0 and 1. O True O False Question 2 5 pts Question 1b: Which of the following examples is NOT a binary classification problem? O Credit card fraud O Spam detection O Sales forecasting O Tumor predictionQuestion 3 10 pts Question 1c: Two different coins are tossed randomly. What are the odds of getting at least one head? Question 4 10 pts Question 1d: If the odds in favor of winning are 15 to 8. What is the probability of winning? (Please keep two decimal places.) Question 5 5 pts Question 1e: Consider the following model for logistic regression: p(y = 1|.7J, ) = 9060 + 51:13) where 9(2) is the logistic function. Note that p(y = 1|m, ,6) means the probability that y = 1, given a: parameteried by ,8. Then what would be the range of p? 0 [-oo, +05] 0 [0.1] O [-009 O] O [0. +00] Question 6 5 pts Question 1f: Consider the logistic regression model in the previous question, which of the following functions would make 19 6 [0,1]? 0 Log likelihood function 0 Neither of them 0 Either of them Q Logistic function Question 7 10 pts Question lg: Which of the following methods do we use to best flt the data in logistic regression? 0 Neither of them 0 Both A and B 0 Least square 0 Maximum likelihood A group of students enrolled in IE 330 spends between 0 and 6 hours studying for an exam. We are trying to analyze how the number of hours spent studying affects the probability that the student will pass the exam. The logistic regression analysis gives the following output: Coefcient Std.Error Zstat pyal ue Intercept 3.978 1.642 2.316 00206 Hours 1.305 0.537 2.393 0.0167 Use this information to answer the following questions. Question 8 10 pts Question 1h: What is the estimated probability of passing the exam for a student who studies for 2 hours? (Please use 2 decimal places.) Question 9 10 pts Question 1i: What is the estimated probability of NOT passing the exam for a student who studies for 4 hours? (Please use 2 decimal places.) Consider the following problem (refer to Credit Card Default example in "lecture 9: classication'I slides 19725): We are trying to predict which customers will default on their credit card debt based on the variables Student (yes = 1, no = 0], balance measured in dollars and income measured in thousands of dollars. The logistic regression analysis gives the following output: Coefficient Std.Error pvalue intercept 40.8690 0.4923