Title

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.

Faculty Mentor(s)

Brandy Wiegers

Department/Program

Applied Mathematics

Additional Mentoring Department

Applied Mathematics

Swearingen, Evan Super Bowl Polynomials.mp4 (30492 kB)
Video Presentation

Additional Files

Swearingen, Evan Super Bowl Polynomials.mp4 (30492 kB)
Video Presentation

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May 16th, 12:00 AM May 16th, 12:00 AM

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