# Consider the accompanying data file to estimate the logistic regression model for predicting loyalty (Loyal equals 1

## Question:

Consider the accompanying data file to estimate the logistic regression model for predicting loyalty (Loyal equals 1 if the member stayed at the gym for at least one year, 0 otherwise). Predictor variables include the member’s age and income (in $1,000s) and whether he/she joined on a single plan (Single equals 1 if on a single plan, 0 otherwise).

a. Use the estimated model to predict the loyalty odds for a 50-year-old member with income of $80,000 and on a single plan.

b. Predict the corresponding odds for a member on a family plan.

c. Interpret the percentage change in the loyalty odds when each predictor variable increases by one unit, holding the other variables constant.

Loyal | Age | Income | Plan |

0 | 39 | 134 | Single |

1 | 57 | 120 | Family |

1 | 72 | 75 | Single |

1 | 71 | 143 | Single |

1 | 25 | 75 | Single |

1 | 44 | 149 | Single |

0 | 21 | 113 | Family |

1 | 26 | 87 | Family |

0 | 63 | 44 | Family |

0 | 37 | 44 | Single |

1 | 65 | 138 | Family |

0 | 43 | 138 | Family |

0 | 66 | 96 | Family |

1 | 21 | 91 | Family |

0 | 70 | 59 | Single |

0 | 39 | 31 | Single |

0 | 39 | 50 | Single |

0 | 43 | 85 | Family |

0 | 65 | 53 | Single |

1 | 73 | 119 | Single |

1 | 71 | 63 | Family |

0 | 72 | 51 | Single |

1 | 53 | 108 | Single |

0 | 60 | 46 | Family |

1 | 60 | 119 | Single |

0 | 21 | 41 | Single |

1 | 46 | 100 | Family |

0 | 21 | 55 | Family |

0 | 27 | 127 | Single |

## Step by Step Answer:

**Related Book For**

## Business Analytics

**ISBN:** 9781265897109

2nd Edition

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