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) fitness, music, spirituality, education, and alcohol consumption. classified whether she is interested in learning more about them. five categories: physical new oollama customer, Erin O'Shaughnessy, has reviewed the profiles of 40 prospective dates and Based on Erin's classification of these 40 profiles, Oollama 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 Log odds of Interested = -0.920 +0.325 x Fitness - 3.611 x Music + 5.535 x Education - 2.927 x Alcohol For the 40 profiles (observations) on which Erin classified her interest, this logistic regression model generates that following probability of Interested. Probability of Interested Probability of Interested Interested Observation Interested Observation 0.412 13 1.000 1 35 0.285 C 2 0.999 1 21 0.219 3 0.999 1 29 0.168 7 0.999 1 25 0.168 9 0.999 1 39 0.168 12 0.990 1 26 0.168 18 0.981 1 23 0.168 1 22 0.974 1 33 0.168 1 31 0.882 1 0.128 6 0.882 1 24 0.128 20 0.882 28 0.029 15 0.882 36 0.020 0.791 16 0.015 14 O.791 27 0.011 C 19 0.791 3C 0.008 C 0.791 32 0.001 C 10 0.791 34 0.001 17 0.791 37 0.001 C 4 0.791 1 4C 0.000 11 0.732 1 38 (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. Compute sensitivity, specificity, and precision measures and interpret them within the context of Erin's dating prospects. Predicted Actual 0 20 1 f required, round your answers to two decimal places. Do not round intermediate calculations. Sensitivity Specificity Precision -
(b) Oollama understands that its clients have a limited amount of time for dating and therefore use decile-wise lift charts to evaluate their classification models. For the training data, what is the first decile lift resulting from the logistic regression model? Interpret this value. observations. The first decile = observations The lift of the first decile The first decile of the logistic regression model Select your answer the number of profiles that Erin s interested in versus random selection.
(c) A recently posted profile has values of Fitness 3, Music probability of Erin's interest in this profile 1, Education 3, and Alcohol 1. Use the estimated logistic regression equation to compute the If required, round your answers to three decimal places. Do not round intermediate calculations Log odds Probability of Interest =