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 Oollama 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, 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ーー0.920 + 0.325 × Fitness-3.611 × Music + 5.535 × Education-2.927 x AlcoholFor the 40 profiles (observations) on which Erin classified her interest, this logistic regression model generates that following probability of Interested.
(a) 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.
The first decile =
The lift of the first decile =
(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.
If required, round your answer to three decimal places.
log odds =
probability of interest =