Super Bowl Popularity Estimated Using Taylor, Legrange, Hermite, and Cubic Spline Approximations
Document Type
Poster
Event Website
https://source2022.sched.com/
Start Date
16-5-2022
End Date
16-5-2022
Keywords
Numerical Differentiation, Polynomial Approximation, Sports
Abstract
The Super Bowl is the annual playoff championship game for American Football of the National Football League, or NFL. The Super Bowl has served as the last game in every NFL season since 1966. Viewership and ratings have been recorded for each Super Bowl since the Super Bowl II in 1967. Taking viewership to represent the popularity of the event, we create high-order polynomials using various methods to further understand Super Bowl popularity. Taylor's theorem is used alongside Lagrange polynomials, Hermite polynomials, and cubic splines to predict popularity of the Super Bowl between when the event is annually held. Additionally, numerical differentiation methods are used to further understand how the rate of change of the popularity of the Super Bowl changes over time. This is done in part to understand how streaming and the COVID-19 pandemic has potentially affected viewership.
Recommended Citation
Swearingen, Evan, "Super Bowl Popularity Estimated Using Taylor, Legrange, Hermite, and Cubic Spline Approximations" (2022). Symposium Of University Research and Creative Expression (SOURCE). 100.
https://digitalcommons.cwu.edu/source/2022/COTS/100
Department/Program
Applied Mathematics
Additional Mentoring Department
Applied Mathematics
Video Presentation
Super Bowl Popularity Estimated Using Taylor, Legrange, Hermite, and Cubic Spline Approximations
The Super Bowl is the annual playoff championship game for American Football of the National Football League, or NFL. The Super Bowl has served as the last game in every NFL season since 1966. Viewership and ratings have been recorded for each Super Bowl since the Super Bowl II in 1967. Taking viewership to represent the popularity of the event, we create high-order polynomials using various methods to further understand Super Bowl popularity. Taylor's theorem is used alongside Lagrange polynomials, Hermite polynomials, and cubic splines to predict popularity of the Super Bowl between when the event is annually held. Additionally, numerical differentiation methods are used to further understand how the rate of change of the popularity of the Super Bowl changes over time. This is done in part to understand how streaming and the COVID-19 pandemic has potentially affected viewership.
https://digitalcommons.cwu.edu/source/2022/COTS/100
Faculty Mentor(s)
Brandy Wiegers