MathCastle
Statistics & DataSuperchallengeTwo Variables

Two Variables · Superchallenge problem

Midterm and final exam scores both have mean 7070 and standard deviation 1010, and their correlation is r=0.5r = 0.5. Ana scored 9090 on the midterm. Her final is predicted from the least-squares line of final on midterm. That predicted final is then put into the least-squares line of midterm on final. What midterm score does this second line give?