US University’s Alumnies Earnings according to their SAT Scores

What is the difference between the Alumnies of US Universities expected earnings according to their SAT Scores(SAT$) and actual earnings($) if we code it in math languages

Y=SAT$-$

 

As we can see from the following table the biggest Gap is at California Institute of Technologies between SAT$-$. This says that the Alumni of CalTech must earn 101113 $ but she earns just 74k for a year.

name2013 state median_earnings_2011 SAT-$
California Institute of Technology CA 74000 27113,91616
Massachusetts Institute of Technology MA 91600 24740,54955
Harvard University MA 87200 24209,60314
Yale University CT 66000 23421,23285
Princeton University NJ 75100 22128,74727
Stanford University CA 80900 21873,46989
Columbia University in the City of New York NY 72900 20863,09281
Dartmouth College NH 67100 20863,09281
Duke University NC 76700 20550,87156
Rice University TX 59900 20550,87156
Johns Hopkins University MD 69200 19624,26947
University of Pennsylvania PA 78200 19318,756
University of Chicago IL 62800 18232,7926
Brown University RI 59700 18232,7926
Northwestern University IL 64100 18113,47156
Emory University GA 59000 18113,47156
Washington University in St Louis MO 62300 18053,91165
Georgetown University DC 83300 17462,00188
University of Notre Dame IN 69400 17110,07575
Carnegie Mellon University PA 72000 16935,01824

The following table gives us the luckiest Alumnies who has more actual earnings than Expected earnings according to their SAT Score. (The luckiest 20)

Silver Lake College of the Holy Family WI 38100 -7953,96316
Urbana University OH 37500 -7953,96316
Fisk University TN 33800 -7953,96316
Mount Olive College NC 39200 -8062,318492
Gordon State College GA 29900 -8212,465996
Keystone College PA 31400 -8256,44444
Paul Quinn College TX 29500 -8341,751656
St Thomas University FL 42600 -8468,95799
Mount Ida College MA 34700 -8537,063
Medaille College NY 38200 -8577,270124
Marygrove College MI 26800 -8603,80159
Iowa Wesleyan College IA 34100 -8916,99824
Mitchell College CT 29800 -8975,53831
Tougaloo College MS 29500 -9032,71196
Stillman College AL 24700 -9088,51919
Olivet College MI 34100 -9142,96
Pine Manor College MA 34700 -9206,485298
Bethune-Cookman University FL 28700 -9476,92005
Lane College TN 25000 -9529,29536
Alice Lloyd College KY 33400 -9612,215

 

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