(Solved): Problem 1: Logistic Regression The dating web site Oollama.com requires its users to create profile ...

Problem 1: Logistic Regression The dating web site Oollama.com requires its users to create profiles based on a survey in which they rate their interest (on a scale from 0 to 3 ) in five categories: physical fitness, music, spirituality, education, and alcohol consumption. A new Qellama customer, Erin O'Shaughnessy, has reviewed the profiles of 40 prospective dates and classified whether she is interested in learning more about them. Based on Erin's classification of these 40 profiles, Qollama has applied a logistic regression to predict Erin's interest in other profiles that she has not yet viewed. The resulting logistic regression model is as follows: $\begin{array}{rl}\text{ Log odds of Interested }=& ?0.920+0.325\times \text{ Fitness }?3.611\times \text{ Music }\\ & +5.535\times \text{ Educution }?2.927\times \text{ Alcohol }\end{array}$ For the 40 profiles (observations) on which Erin classified her interest, this logistic regression model generates that following probability of Interested. a) Using a cutoff value of 0.5 to classify a profile observation as Interested or not, construct the confusion matrix for this 40 -observation training set and interpret it within the context of Erin's dating prospects. 2. b) A recently posted profile has values of Fitness $=3$, Music $=1$, Education=3, and Alcohol $=1$. Use the estimated logistic regression equation to compute the probability of Erin's interest in this profile, 3. c) Now that Gellama has trained a logistic regression model based on Erin's initial evaluations of 40 profiles, what should its next steps be in the modeling process?