I am wondering what the best way to proceed in trying to predict the amount of possession a basketball team gets in a game. I have heard that beta regression tends to be good for proportions, but I am wondering how to go forward since I want the possession of both teams. Obviously possesion of one team will be 1 minus the possession of the other team, but will this always be the output of the regression model if it had the structure:
$$ g(p) = x_i^T\beta $$
where $p$ is the possession of a single team.