fitting a function
- To: mathgroup at smc.vnet.net
- Subject: [mg58323] fitting a function
- From: "Bosch, Darrell" <bosch at vt.edu>
- Date: Tue, 28 Jun 2005 05:13:23 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Dear Group, I have two questions: First, I want to fit a function
relating utility to income based on some elicited data. For example,
the following pairs might represent the income and utility values for an
individual: {10,000, .3}, {15,000, .5}, {20,000, .6}, {25,000, .65} I
want to fit the data to a function and plot the resulting function.
What is the best way to do this? PolynomialFit seems like a logical
choice, but it's not clear to me from the documentation how to specify
the command for a series of pairs of points.
Second, how do I plot the resulting value of a polynomial fit in the
example below? My 'ParametricPlot' command doesn't do the job. Thanks
in advance for your help. Darrell Bosch
<< "NumericalMath`PolynomialFit`"
In[28]:=
p = PolynomialFit[{1, 4, 9,
16, 25, 36, 49}, 3]
ParametricPlot[p, {p, 0, 6}, PlotRange -> All, Compiled -> True]