An Automobile Finance Company Analyzed a Sample of Recent Automobile

question 13

Multiple Choice

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. A potential borrower with a credit score of 523 who has been at their current job for 1 year is applying for a loan with payments equaling 17% of their income. Based on this classification tree, the best estimate of the probability that this loan applicant would default would be

• A) .000
• B) .239
• C) .761
• D) .867
• E) 1.000

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Definitions:

Japan

An island nation in East Asia, known for its rich culture, technological advancements, and historic sites.

Big Five

A model in psychology that outlines five broad dimensions of personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Openness

Willingness to try new things and be open to new experiences or ideas.

Agreeableness

A personality trait in psychology that reflects the extent to which a person is cooperative, friendly, and compassionate toward others.