Mathematics Senior Capstone Papers

Document Type

Article

Publication Date

Spring 2022

Abstract

The growing popularity of the internet has increased exponentially in the past few decades. This sudden increase in popularity allows for users to gain access to more information than was thought possible in the past, including access to box-office movie revenues of previously released movies. Since we now have access to thousands of movie’s box office revenues, we can analyze some sort of trend within specific genres of movies. With these trends we develop a differential equations model that will predict the box office revenues of a movie that is in its early stages of the box office. This model can be used to see at which time, during the movie’s box office lifespan, would be the best predictor of movie revenue.

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