The manager is concerned about the attrition rate at her gym. She would like to identify the

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The manager is concerned about the attrition rate at her gym. She would like to identify the profile of loyal members who retain the membership for at least one year. The accompanying data file contains information on whether the member has been loyal (Loyal = 1 if the member stayed at the gym for at least one year,
0 otherwise). Also included are the member’s age and income (in $1,000s) and whether he/she joined on a single or a family plan.
a. Estimate the logistic regression model using Loyal as the response variable and Age, Income, and Single (equals 1 if on a single plan, 0 otherwise) as the predictor variables.
b. Predict the probability of being loyal for a 40- and a 60-year-old member with income of $80,000 and on a single plan.
c. Predict the corresponding probabilities for a member on a family plan.


 

LoyalAgeIncomePlan
039134Single
157120Family
17275Single
171143Single
12575Single
144149Single
021113Family
12687Family
06344Family
03744Single
165138Family
043138Family
06696Family
12191Family
07059Single
03931Single
03950Single
04385Family
06553Single
173119Single
17163Family
07251Single
153108Single
06046Family
160119Single
02141Single
146100Family
02155Family
027127Single
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Business Analytics

ISBN: 9781265897109

2nd Edition

Authors: Sanjiv Jaggia, Alison Kelly, Kevin Lertwachara, Leida Chen

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