FindFit and LeastSquares

• To: mathgroup at smc.vnet.net
• Subject: [mg132397] FindFit and LeastSquares
• From: Alexandra Lipson <lipson.alexandra at gmail.com>
• Date: Sat, 8 Mar 2014 02:43:51 -0500 (EST)
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• Delivered-to: l-mathgroup@wolfram.com
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```Hello All,

I have an assignment to use Linear Least Squares to determine the orbital
parameters given the following observations as (x,y)
coordinates:  (1.02,.39), (.95,.32), (.87,.27), (.77,.22), (.67,.18),
(.56,.15), (.44,.13), (.30,.12), (.16,.13), (.01,.15). I am asked to plot
the resulting orbit for the given data points.

Here is what I have been playing with:

a1 = {{1.02, .39}, {.95, .32}};
b1 = {{.87, .27}, {.77, .22}};
c1 = {{.67, .18}, {.56, .15}};
d1 = {{.44, .13}, {.3, .12}};
e1 = {{.16, .13}, {.01, .15}};
r = ListPlot[{a1, b1, c1, d1, e1}]
points = {{a1}, {b1}, {c1}, {d1}, {e1}};
data = {{1.02, .39}, {.95, .32}, {.87, .27}, {.77, .22}, {.67, .18}, {.56, \
.15}, {.44, .13}, {.3, .12}, {.16, .13}, {.01, .15}}

model = a*y^2 + b*x*y + c*x + d*y + e - x^2
FindFit[data, model, {a, b, c, d, e}, {x, y}]
l = LeastSquares[{a1, b1, c1, d1, e1},_]

I've been getting the error that FindFit is not a list or a rectangular
array, among others.

I was wondering you have any suggestions.

Thanks!

Alexandra Lipson

```

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