Subject: Re: Using Fit to interpolate data

• To: mathgroup at smc.vnet.net
• Subject: [mg127475] Subject: Re: Using Fit to interpolate data
• From: "McHale, Paul" <Paul.McHale at excelitas.com>
• Date: Sat, 28 Jul 2012 02:38:19 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-newout@smc.vnet.net
• Delivered-to: mathgroup-newsend@smc.vnet.net

```I like Bill Rowe's:

In[12]:= params=FindFit[fiberDataDensitiesFeierabend, a Exp[b
x], {a, b}, x]

Out[12]= {a->2.06978*10^6,b->-1.61827}

and

Plot[a Exp[b x] /. params, {x, 7, 16.5},
Epilog -> {PointSize[.02], Point[fiberDataDensitiesFeierabend]}]

Here is another alternative of the same thing.

In[]:= f = NonlinearModelFit[fiberDataDensitiesFeierabend, a Exp[b x], {a, b}, x]
Out[]:= FittedModel[2.06978x10^6 * e^(-1.61827 * x)   ]

In[]:= Plot[f[x],{x,7,16.5},Epilog->{PointSize[.02],Point[fiberDataDensitiesFeierabend]}]
Out[]:= (same result)

In[]:= f["FitResiduals"]
Out[]:=   {-0.0000117777,0.0474942,0.0884309,0.128468,-0.038007,0.00348739}

In[]:= f["ParameterConfidenceIntervals"]
Out[]:= {{1.11329*10^6,3.02627*10^6},{-1.68272,-1.55381}}

I really like the FitResiduals you can use with object returned by NonlinearModelFit[].  There is also EstimatedVariance, BestFit.  Just saying, you might want to look into it.  There is an excellent youtube video.

http://www.youtube.com/watch?v=KolZZm8If9Q

Paul McHale  |  Electrical Engineer, Energetics Systems  |  Excelitas Technologies Corp.
=09
Phone:   +1 937.865.3004   |   Fax:  +1 937.865.5170   |   Mobile:   +1 937.371.2828
1100 Vanguard Blvd, Miamisburg, Ohio 45342-0312 USA
Paul.McHale at Excelitas.com
www.excelitas.com

Please consider the environment before printing this e-mail.
This email message and any attachments are confidential and proprietary to Excelitas Technologies Corp. If you are not the intended recipient of this message, please inform the sender by replying to this email or sending a message to the sender and destroy the message and any attachments.
Thank you

```

• Prev by Date: Re: Putting a Test or Condition on the Right-Hand Side of a Function
• Next by Date: Re: How to relate two functions
• Previous by thread: Re: Heat Equation on a surface sphere using NDSolve?
• Next by thread: AlgebraicRules