Re: Exponential fit question.
- To: mathgroup at smc.vnet.net
- Subject: [mg28039] Re: [mg27986] Exponential fit question.
- From: "Sherman Reed" <sherman.reed at worldnet.att.net>
- Date: Thu, 29 Mar 2001 03:24:07 -0500 (EST)
- References: <200103270626.BAA21789@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Joe, certainly the use of Fit with Exp does not work. I resort to fundamentals in this problem. I took the natural log of the y values, and then fitted a first order linear equation. working this backward, I got 5.22289*Exp[.03795*x] I plotted this versus your data and the fit was reasonable. I plotted your Excel result versus your data and this was substantially poorer. I suspect an error in the Excel work. the code is attached. Sherman C. Reed sherman.reed at att.net ----- Original Message ----- From: "joe" <joe at wam.umd.edu> To: mathgroup at smc.vnet.net Subject: [mg28039] [mg27986] Exponential fit question. > hello. > > I was wondering if someone could help me with the following problem. > > I am trying to perform an exponential fit to the following data > {{x,y}} > > data > ={{50,22},{64,62},{78,122},{93,269},{107,414},{122,507},{136,597}} > > Fit[data,Exp[x],x] > > what I get is > > 1.94272422061017735^-63 *E^x Which is not correct. > > With Excel I get 7.5*E^0.0034x which is correct. > > How can I do this with Mathematica ? > > Thanks. > -Joseph. > > > ------=_NextPart_000_0017_01C0B72D.8D281700 filename="zzstan.nb" (************** Content-type: application/mathematica ************** 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). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info at 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[ 2594, 82]*) (*NotebookOutlinePosition[ 3677, 116]*) (* CellTagsIndexPosition[ 3633, 112]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ StyleBox[\(data = {{50, 22}, {64, 62}, {78, 122}, {93, 269}, \[IndentingNewLine]{107, 414}, {122, 507}, {136, 597}}\), FormatType->StandardForm]], "Input"], Cell[BoxData[{ \(\(newdata = Table[{0, 0}, {i, 7}];\)\), "\[IndentingNewLine]", \(For[i = 1, i < 8, \(i++\), {newdata[\([i, 1]\)] = data[\([i, 1]\)], newdata[\([i, 2]\)] = N[Log[data[\([i, 2]\)]]]}]\)}], "Input"], Cell[BoxData[ \(Fit[newdata, {1, x}, x]\)], "Input"], Cell[BoxData[ \(Exp[1.65305]\)], "Input"], Cell[BoxData[ \(raw = ListPlot[data, PlotJoined \[Rule] True]\)], "Input"], Cell[BoxData[ \(mine = Plot[5.22289*Exp[ .03795*x], {x, 50, 136}]\)], "Input"], Cell[BoxData[ \(his = Plot[7.5*Exp[ .0034*x], {x, 50, 136}]\)], "Input"], Cell[BoxData[ \(Show[his, raw]\)], "Input"], Cell[BoxData[ \(Show[raw, mine]\)], "Input"] }, FrontEndVersion->"4.1 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, WindowToolbars->{"RulerBar", "EditBar"}, WindowSize->{922, 664}, WindowMargins->{{-10, Automatic}, {-38, Automatic}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, PageFooters->{{Inherited, Cell[ TextData[ { ValueBox[ "Date"], "\n", ValueBox[ "Time"]}], "Footer"], Cell[ TextData[ { ValueBox[ "Date"], "\n", ValueBox[ "Time"]}], "Footer"]}, {Inherited, None, Inherited}}, PrivateFontOptions->{"FontType"->"Outline"}, Magnification->1.5 ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[1705, 50, 192, 3, 66, "Input"], Cell[1900, 55, 237, 4, 92, "Input"], Cell[2140, 61, 56, 1, 41, "Input"], Cell[2199, 64, 45, 1, 41, "Input"], Cell[2247, 67, 78, 1, 41, "Input"], Cell[2328, 70, 82, 1, 41, "Input"], Cell[2413, 73, 76, 1, 41, "Input"], Cell[2492, 76, 47, 1, 41, "Input"], Cell[2542, 79, 48, 1, 41, "Input"] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************) ------=_NextPart_000_0017_01C0B72D.8D281700--
- References:
- Exponential fit question.
- From: joe <joe@wam.umd.edu>
- Exponential fit question.