Forcing a Fit through a Data Point (Mathematica 5)

• To: mathgroup at smc.vnet.net
• Subject: [mg43588] Forcing a Fit through a Data Point (Mathematica 5)
• From: Hank Shih <airforce1 at comcast.net>
• Date: Mon, 22 Sep 2003 03:14:12 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```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}}.

So far, to get the best fit I use:

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

```

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