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If you love it you stay, here are the freshman retention rates. Both UM and UT have very good retention rates for public universities.
Columbia University New York, NY 99%
Massachusetts Institute of Technology Cambridge, MA 99%
University of Chicago Chicago, IL 99%
Yale University New Haven, CT 99%
Brown University Providence, RI 98%
California Institute of Technology Pasadena, CA98%
Dartmouth College Hanover, NH 98%
Northwestern University Evanston, IL 98%
Princeton University Princeton, NJ 98%
Stanford University Stanford, CA 98%
University of Notre Dame Notre Dame, IN 98%
University of Pennsylvania Philadelphia, PA 98%
Carnegie Mellon University Pittsburgh, PA 97%
Cornell University Ithaca, NY 7%
Duke University Drham, NC 7%
Georgia Institute of Technology Alanta, GA 97%
Harvard University Cambridge, MA 97%
Johns Hopkins University Baltimore, MD 97%
Northeastern University Boston, MA 97%
Rice University Houston, TX 97%
Tufts University Medford, MA97%
University of California–Berkeley Berkeley, CA 97%
University of California–Los Angeles Los Angeles, CA 97%
University of Michigan–Ann Arbor Ann Arbor, MI 97%
University of North Carolina–Chapel Hill Chapel Hill, NC 97%
University of Rochester Rochester, NY 97%
University of Virginia Charlottesville, VA 97%
Vanderbilt University Nashville, TN 97%
Washington University in St. Louis St. Louis, MO 97%
Georgetown University Washington, DC 96%
Lehigh University Bethlehem, PA 96%
University of Florida Gainesville, FL 96%
University of Maryland–College Park College Park, MD 96%
University of Southern CaliforniaLos Angeles, CA 96%
Worcester Polytechnic Institute Worcester, MA 96%
Boston College Chestnut Hill, MA 95%
College of William and Mary Williamsburg, VA 95%
University of California–San Diego La Jolla, CA 95%
University of Georgia Athens, GA 95%
University of Texas–Austin Austin, TX 95%
University of Wisconsin–Madison Madison, WI 95%
Villanova University Villanova, PA 95%
Emory University Atlanta, GA94%