The data (taken from Johnson and Albert, 2013) are for 30 students in a statistics class. The response variable y indicates whether or not the student passed (y = 1) or failed (y = 0) the statistics...

The data (taken from Johnson and Albert, 2013) are for 30 students in a statistics class. The response variable y indicates whether or not the student passed (y = 1) or failed (y = 0) the statistics examination at the end of the course. Also given are the student’s scores on a previous mathematics test and their grade for a prerequisite probability course. Fit a logistic model to the data with mathematics test and probability course grade as explanatory variables. Cross-tabulate the predicted passes and failures with the observed passes and failures.