A Bank Is Interested in Identifying Different Attributes of Its

question 46

Essay

A bank is interested in identifying different attributes of its customers and below is the sample data of 150 customers. In the data table for the dummy variable Gender, 0 represents Male and 1 represents Female. And for the dummy variable Personal loan, 0 represents a customer who has not taken personal loan and 1 represents a customer who has taken personal loan.




Partition the data into training (50 percent), validation (30 percent), and test (20 percent) sets. Use logistic regression to classify observations as Personal loan taken (or not taken) using Age, Gender, Work experience, Income (in 1000 $), and Family size as input variables and Personal loan as the output variable. Perform an exhaustive-search best subset selection with the number of best subsets equal to 2.
a. From the generated set of logistic regression models, select one that you believe is a good fit. Express the model as a mathematical equation relating the output variable to the input variables.
b. Increases in which variables increase the chance of a customer who has taken the personal loan? Increases in which variables decrease the chance of a customer who has not taken the personal loan?
c. Using the default cutoff value of 0.5 for your logistic regression model, what is the overall error rate on the test data?

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Definitions:

Leisure

Free time spent away from business, work, and domestic chores, often dedicated to relaxation, hobbies, or enjoyment.

Nonlabor Income

Refers to earnings that do not come from employment or work performed but from other sources such as investments, pensions, or inheritance.

Wage Rate

the standard amount of compensation given for labor services per unit of time, often expressed per hour or year.

Lump Sum Payment

A single payment made at a particular time, as opposed to multiple payments over time, often used in contexts like settlements or pensions.