Repeat parts (a)-(e) of given Exercise, but using the interception percentage as the independent variable, and for a quarterback who claims his interception percentage will be just 3.0% next year.
Exercise
For the National Football League, ratings for the alltime leading passers were as shown below. Also shown for each quarterback is the percentage of passes that were interceptions, along with the percentage of passes that were touchdowns.
a. Determine the least-squares regression line for estimating the passer rating based on the percentage of passes that were touchdowns.
b. A quarterback says 5.0% of his passes will be touchdowns next year. Assuming this to be true, estimate his rating for the coming season.
c. Determine the standard error of estimate.
d. For the quarterback in part (b), what is the 95% prediction interval for his passer rating next year?
e. For quarterbacks similar to the one in part (b), what is the 95% confidence interval for their mean rating next year?