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Modelling Data with Polynomial and Rational Functions

Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we
compare gas mileage at two different speeds, V1 and V2, the gas required varies as (V1/V2), raised to the third power, (V1/V2)3.
Rational functions are also useful. For example, a cubic/cubic model can be used to explain the thermal expansion of metals with temperature. Rational functions have been used to describe problems as diverse as the movement of blood through the body to how to produce items at the lowest possible cost.
For this Discussion Board, create a set of data that can be modeled as a polynomial function. Please provide a reference to the data. Plot the data using Microsoft Excel including the equation for the fit. Discuss how closely the data seem to match to the best fit line. Do the same for data that can be modeled using a rational function. Include in your answer how this can be used in a real-life application.


Solution Preview

Please see the attached file thanks.

Polynomial function example:
Here I use the example in the following website. It provides data of the distance a car reaches after certain time. I will only use the first 5 data points.
As you can see, you can fit a ...

Solution Summary

Data is modeled with Polynomial and Rational Functions. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.