The data are from n = 900 students at Penn State, surveyed in February of 2007. We will use logistic regression to predict the probability that a student says they have ever cheated on a college exam. The y-variable is ChtdExam and possible responses are Yes and No.
Do a logistic regression that relates the probability of having ever cheated on an exam to GPA. In Minitab, use Stat>Regression>Binary Logistic Regression > (Fit) Binary Logistic Model. Take the following actions:
Enter ChtdExam as Response.
Enter GPA in the Continuous Predictors box.
Click Storage and request Fits (event probabilities). Click OK.
Write the sample logistic regression equation for this situation by filling in values for the coefficients b0 and b1 in the equation:
Plot the stored predicted probabilities of having ever cheated on an exam versus GPA. [In Minitab, use Graph>Scatterplot and select "With Connect Line." Use the column Fits1 as the y-variable and GPA as the x-variable.] Copy and paste the plot as part of your answer AND briefly describe what the plot shows about how the probability of having ever cheated on an exam is related to GPA.
