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An Automobile Finance Company Analyzed a Sample of Recent Automobile

question 23

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An automobile finance company analyzed a sample of recent automobile loans to try to determine key factors in identifying borrowers who would be likely to default on their auto loan. The response variable Default equals 1 if the borrower defaulted during the term of the loan and 0 otherwise. The predictor variable AutoDebt% was the ratio (expressed as a percent) of the required loan payments to the borrower's take-home income at the time of purchase. JobTime was the number of years the borrower had worked at their current job at the time of purchase. CredScore was the borrower's credit score at the time of purchase. Below is part of the classification tree the finance company derived from the data collected in the study. Assume they classify those with a default probability estimate of at least .5 as Defaulters. Based on this classification tree, a member of the study sample who had a credit score of 786, just started their current job, took out a loan with payments equaling 9% of their income, and defaulted would be

Definitions:

Favorite Bundle

The combination of goods or services that maximizes an individual's utility given their budget constraints.

Convex Preferences

A consumer preference pattern indicating a desire for mixed bundles of goods over extreme bundles, illustrating a preference for diversification.

Commodity Bundle

A specific collection of goods or services that is considered as a single unit for analytical purposes in microeconomics.

Convex Preferences

A characteristic of consumers' preferences indicating that they prefer mixes or combinations of goods over extreme amounts of either one, depicted by a convex shape in utility analysis.