(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.1' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 374479, 6887]*) (*NotebookOutlinePosition[ 375248, 6914]*) (* CellTagsIndexPosition[ 375204, 6910]*) (*WindowFrame->Normal*) Notebook[{ Cell["Nonlinear Regression", "Title"], Cell[TextData[StyleBox["If you need to fit your data to a function more \ complicated than a polynomial series, such as a function with a Sin or Cos of \ a parameter, you need to use the nonlinear regression fitting function.", Background->GrayLevel[0.900008]]], "Text"], Cell["\<\ Starting Up\ \>", "Subtitle"], Cell[BoxData[ \(Off[General::spell]; Off[General::spell1];\)], "Input", CellLabel->"In[1]:="], Cell[CellGroupData[{ Cell[TextData[StyleBox["Initialize and load the needed package for the \ nonlinear fitting.", Background->GrayLevel[0.900008]]], "Text"], Cell[BoxData[ \(Needs["\"]\)], "Input", CellLabel->"In[2]:="] }, Open ]], Cell[CellGroupData[{ Cell[" Generating some sample data", "Section"], Cell[TextData[{ StyleBox["We will generate some sample data of the form ", Background->GrayLevel[0.900008]], StyleBox["\[Alpha] + \[Beta] cos(\[Omega]", FontSlant->"Italic", Background->GrayLevel[0.900008]], StyleBox[" t + \[Phi]) with some added random noise. 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