At a certain law school, ﬁrst-year scores average 65 and the SD is 12. The correlation between LSAT
scorees and the ﬁrst year scores is 0.55. The scatter diagram is football-shaped. The dean’s office
uses regression to predict ﬁrst year scores from LSAT scores. About what percent of the students do
better than predicted, by 10 points or more? Explain your answer. If you need more information, say
what you need and why.
1yr: \bar s = 65, SD_s = 12
LSAT ? R=0.55
SD_res = SD_s * sqrt(1-R^2) = 10.02
15% do better than predicted