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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. 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, x<sub>1</sub> = the ratio of the credit card balance to the credit card limit (in percent), x<sub>2</sub> = 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.What is the estimated logistic model? To estimate this probability,she decided to use the logistic model: 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, x<sub>1</sub> = the ratio of the credit card balance to the credit card limit (in percent), x<sub>2</sub> = 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.What is the estimated 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: 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, x<sub>1</sub> = the ratio of the credit card balance to the credit card limit (in percent), x<sub>2</sub> = 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.What is the estimated logistic model? Note: The p-values of the corresponding tests are shown in parentheses below the estimated coefficients.
Refer to Exhibit 17.9.What is the estimated logistic model?


Definitions:

Time Study

An analytical procedure used to determine the standard time required for a skilled worker to perform a given task under specified conditions and at a defined rate of performance.

Sample Size

The number of observations or data points collected in a study or experiment, which can affect the validity and reliability of statistical analysis.

Level Of Confidence

The level of confidence quantifies the degree of certainty or assurance in the results of a statistical analysis, often expressed as a percentage.

Z-Value

A statistical measure that represents the number of standard deviations a data point is from the mean.

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