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Mathematical Modeling

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What is Mathematical Modeling? Mathematical model – an equation, graph, or algorithm that fits some real data set reasonably well and that can be used to make predictions. Extrapolation – predictions outside the range of existing data Interpolation – predictions made in between existing data points

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Interpolation and Extrapolation Interpolation Extrapolation

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Warning! When making extrapolations, the further one goes from the actual data, the less confident one becomes about one’s predictions. Will the model hold for this length of time?

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Linear Models

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Exponential Models

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