  In this paper, we present a new model for ranking sports teams. Our model
uses all scoring data from all games to produce a functional rating by the
method of least squares. The functional rating can be interpreted as a teams
average point differential adjusted for strength of schedule. Using two team's
functional ratings we can predict the expected point differential at any time
in the game. We looked at three variations of our model accounting for
home-court advantage in different ways. We use the 2018-2019 NCAA Division 1
men's college basketball season to test the models and determined that
home-court advantage is statistically important but does not differ between
teams.
