Re: Forcing a Fit through a Data Point (Mathematica 5)

• To: mathgroup at smc.vnet.net
• Subject: [mg43614] Re: Forcing a Fit through a Data Point (Mathematica 5)
• From: pein <peter.pein at epost.de>
• Date: Tue, 23 Sep 2003 04:02:24 -0400 (EDT)
• References: <bkm7pa\$rhj\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hank Shih wrote:

>Hello all. I have a set of data for a experiment and I want to create
>the best fit line. Based on the x-y coordinate system, I need the line
>to go through (0, 0) no matter what. The data is as followed: data =
>{{0,0}, {.5,.25}, {1,.4}, {1.5,.5}, {2,.625}, {2.5,.84615}, {3,1},
>{3.5,1.0588}}.
>
>
>data = {{0,0}, {.5,.25}, {1,.4}, {1.5,.5}, {2,.625}, {2.5,.84615},
>{3,1}, {3.5,1.0588}}.
>
>abc = Fit[data, {1, x, x}, x]
>Plot[abc, {x, 0, 5}, GridLines -> Automatic, AxesLabel -> {"Time (in
>       sec)", "Change in Distance (in cm)"},
>   Epilog -> {PointSize[0.02], Map[Point, data]}]
>
>Is there a easier way to do this through Mathematica 5? If not, how can
>I force it through that (0, 0) point? Thanks in advance
>
>Hank
>
>
>
In[1]:=
data = {{0, 0}, {.5, .25}, {1, .4}, {1.5, .5}, {2, .625}, {2.5, .84615},
{3,
1}, {3.5, 1.0588}};
abc = Fit[data, {1, x, x}, x]
cba = Fit[data, {x}, x]
Out[2]=
0.05895\[InvisibleSpace] + 0.300596 x
Out[3]=
0.324176 x

```

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