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 of 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 %)
x₂ = the ratio of the total debt to the annual income (in %)
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.
Compute the predicted probability of defaulting for a person whose balance ratio is 5% and debt ratio is 30%.

Question

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 of 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 %)
x₂ = the ratio of the total debt to the annual income (in %)
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.
Compute the predicted probability of defaulting for a person whose balance ratio is 5% and debt ratio is 30%.

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The Answer of 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 of 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 %) x₂ = the ratio of the total debt to the annual income (in %) 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. Compute the predicted probability of defaulting for a person whose balance ratio is 5% and debt ratio is 30%.

A Bank Manager Is Interested in Assigning a Rating to the Holders