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Physical Sciences and Mathematics Commons

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Mathematics

University of South Florida

Undergraduate Journal of Mathematical Modeling: One + Two

2017

Polynomial approximation

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Analysis Of Rainfall In Tampa, Amy Polen Jan 2017

Analysis Of Rainfall In Tampa, Amy Polen

Undergraduate Journal of Mathematical Modeling: One + Two

Rainfall for a region is very important to define, because it affects an ecosystem health, wildlife, and even human behavior. Using data obtained from National Oceanographic and Atmospheric Administration (NOAA) at the Tampa Bay International Airport and graphing it, the total rainfall for a year was estimated by both a rough trapezoidal Riemann’s sum approximation and a definite integral generated by polynomial regression. It was determined that both approximations gave an underestimate of the total rainfall that was measured, but the polynomial integral gave a reasonable estimate with a small percent error. It was seen through the graphical representation of …