Students who perform well on a midterm exam in a statistics class will typically, but not always, also do well on the final exam. Based on exam scores from 353 students over 10 years, a least-squares line found a student's final exam score can be predicted to be 0.45 times their score above the midterm exam average. Therefore, a student who scored 19 points above the midterm average can be expected to score around 8.55 points above the final exam average.
This is another example of regression to the mean students who do .pdf
1. This is another example of regression to the mean: students who do well on the midterm will on
average do less well, but still above average, on the final. We expect that students who do well
on the midterm exam in a course will usually also do well on the final exam. An instructor
looked at the exam scores of all 353 students who took her statistics class over a 10-year period.
The least-squares line for predicting final exam score from midterm-exam score was . (Both
exams have a 100-point scale) Octavio scores 19 points above the class mean on the midterm.
How many points above the class mean do you predict that he will score on the final? Score:
This is another example of regression to the mean: students who do well on the midterm will on
average do less well, but still above average, on the final.
Solution
so he would be 0.45*19 above the average = 8.55 above average on final