A financial analyst investigates the factors that are associated with the probability that a college student has certain credit cards. The analyst randomly samples college students for a survey. The survey asks the students questions about their education and finances.

After fitting the model, the analyst estimates the probability that a student who has $75 cash and an annual income of $10,000 has an American Express credit card.

- Open the sample data, CreditSurvey.MTW.
- Choose .
- From Response, select American Express.
- In the table, enter
`75`for Cash and`10000`for Annual Income. - Click OK.

Minitab uses the stored model to estimate that the probability is 0.998870. The prediction interval indicates that the analyst can be 95% confident that the probability falls within the range of 0.0516175 to 1.00000. This wide range indicates that the model does not produce precise predictions.

Regression Equation
P(1) = exp(Y')/(1 + exp(Y'))
Y' = -7.71 + 0.1688 Cash + 0.000108 Annual Income + 0.000540 Cash*Cash
- 0.000003 Cash*Annual Income

Settings
Variable Setting
Cash 75
Annual Income 10000

Prediction
Fitted
Probability SE Fit 95% CI
0.998870 0.0055832 (0.0516267, 1.00000)