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Lecture Notes for MATH 115 - APPLIED CALCULUS with Seaton at Rhodes (RC)

Notes Information

Material Type:Class Note
Professor:Seaton
Class:MATH 115 - APPLIED CALCULUS
Subject:Mathematics
University:Rhodes College
Term:Fall 2008
Keywords:
  • Unfortunately
  • Distance Function
  • Different Times
  • Concentration
  • Mathematica Output
  • Experimental Data
  • Acceleration
  • Developmental
  • Possible Value
  • Linear Model
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Applied Calculus Fall 2008 Module 3: Curve Fitting Problem 1: Root Growth, a One Parameter Linear Model Problem 2: Development Test Results, Two Parameter Linear Model Problem 3: Concentration of Chemical, Two Parameter Non-linear Model Introduction In Module 1 we dealt with situation where a model could be fitted exactly to the data. It is always possible to find a model that fits the data exactly. This is not, however, the most appropiate way of modeling the data, especially if want to use the model to make predictions about future events. It is also inefficient, since there are as many parameters to calculate as there are data points. An efficient model is one with the fewest parameters that still manages to describe the behaviour of the data. The disadvantage of using a model with fewer parameters than data points is that it will not pass through all the data points, and so we find the model that is the 'best fit' for the data. The first problem shows you have to fit the 'best' model of...
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