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Exhibit 17.9.A bank manager is interested in assigning a rating to the holders of credit cards issued by her bank.The rating is based on the probability of defaulting on credit cards and is as follows. To estimate this probability,she decided to use the logistic model:
,
where,
y = a binary response variable with value 1 corresponding to a default,and 0 to a no default,
x1 = the ratio of the credit card balance to the credit card limit (in percent),
x2 = the ratio of the total debt to the annual income (in percent).
Using Minitab on the sample data,she arrived at the following estimates: Note: The p-values of the corresponding tests are shown in parentheses below the estimated coefficients.
Refer to Exhibit 17.9.Compute the predicted probability of defaulting for a person whose balance ratio is 5% and debt ratio is 30%.
Relatively Easy Entry
Refers to industries or markets where barriers to entry are minimal, allowing new competitors to join with fewer obstacles.
Similar Products
Goods that serve the same purpose or function and can substitute for each other in consumer usage.
Large Number
Refers to a quantity significant enough to influence or be noticed within a particular context, often used in statistical or mathematical analyses.
Monopolistically Competitive
Describes a market structure where many firms sell products that are similar but not identical, allowing for competition based on product differentiation.
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