The residuals for the quadratic regression model

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The residuals for the quadratic regression model, which were generated as part of the Excel output, are sorted and given in the table that follows. University Predicted Alumni Giving Rate Residuals U. of Washington 22.38665484 -10.3867 Stanford University 43.18507469 -9.1851 Columbia University 40.04079983 -9.0408 Johns Hopkins University 35.91193735 -8.9119 Northwestern University 38.69244742 -8.6924
Georgetown University 37.52122011 -8.5212 U. of Michigan–Ann Arbor 21.18859365 -8.1886 New York University 20.44978354 -7.4498 U. of Wisconsin–Madison 20.29550386 -7.2955 U. of Virginia 35.09496024 -7.0950 U. of California–San Diego 13.73838728 -5.7384 Harvard University 51.33050668 -5.3305 U. of California–Davis 12.14442958 -5.1444 College of William and Mary 31.86688013 -4.8669 Tulane University 21.79813595 -4.7981 Tufts University 33.32758156 -4.3276 Brown University 43.54883947 -3.5488 Washington University–St. Louis 34.87208824 -1.8721 Rice University 41.83672228 -1.8367 U. of California–Irvine 10.79607717 -1.7961 U. of Rochester 24.43764111 -1.4376 U. of California–Los Angeles 14.18214108 -1.1821 U. of Chicago 36.89270873 -0.8927 Boston College 25.72309551 -0.7231 Massachusetts Inst. of Technology 44.53342709 -0.5334 U. of California–Berkeley 18.49188883 -0.4919 U. of California–Santa Barbara 11.59983558 0.4002 U. of Texas–Austin 12.54835908 0.4516 U. of Pennsylvania 40.04079983 0.9592 U. of Southern California 21.03830244 0.9617 Cornell University 33.47616289 1.5238 Vanderbilt University 28.49978934 2.5002 Duke University 41.83672228 3.1633 Yale University 46.70262892 3.2974 Carnegie Mellon University 24.31196126 3.6880 Case Western Reserve Univ. 27.19154558 3.8085 Emory University 32.84765151 4.1523 Brandeis University 28.07130454 4.9287 U. of Illinois–Urbana Champaign 17.91487876 5.0851 California Institute of Technology 39.20661958 6.7934 U. of North Carolina–Chapel Hill 19.06132248 6.9387 Pennsylvania State Univ. 13.73838728 7.2616 U. of Florida 9.137455524 9.8625 Dartmouth College 42.65757169 10.3424 U. of Notre Dame 38.61251447 10.3875 Wake Forest University 25.80308452 12.1969 Lehigh University 25.11748561 14.8825 Princeton University 51.29809061 15.7019
These residuals suggest that the alumni giving rate several schools (U. of Florida, Dartmouth College, U. of Notre Dame, Wake Forest University, Lehigh University, and Princeton University) is at least 9% above what the model predicts. The Presidents of these universities should be pleased with the efforts of their Offices of Alumni Affairs. These residuals also suggest that the alumni giving rate several schools (U. of Washington, Stanford University, Columbia University, Johns Hopkins University, Northwestern University, Georgetown University, U. of Michigan–Ann Arbor) is at least 8% below what the model predicts. Perhaps the Alumni Affairs offices at these universities should review the efforts of U. of Florida, Dartmouth College, U. of Notre Dame, Wake Forest University, Lehigh University, and Princeton University. Other independent variables that could be included in the model include some measure of the success of the university’s football or basketball team and proportion of students on scholarship or student aid.

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