       Re: NonLinearRegression Weights

• To: mathgroup at smc.vnet.net
• Subject: [mg73626] Re: [mg73584] NonLinearRegression Weights
• From: Darren Glosemeyer <darreng at wolfram.com>
• Date: Fri, 23 Feb 2007 04:38:09 -0500 (EST)
• References: <200702220937.EAA24446@smc.vnet.net>

``` From the message it appears that the weights were given as a list of
single element lists. Numeric weights must be given as a vector (a flat
list) of numbers. Using Weights->Flatten[wt] should do what you want.

Darren Glosemeyer
Wolfram Research

pershan at seas.harvard.edu wrote:
> I am trying to add Weights to  NonlinearRegression Fit.
> The relevant  section of Mathematica Help (Statistics `NonlinearFit` )
> is as follows
>
>       The Weights option allows you to implement weighted least
> squares by specifying a list of weights, one for each data point; the
> default Weights -> Automatic implies a weight of unity for each data
> point. When Weights -> {a, ... , a}, the parameter estimates are chosen
> to minimize the weighted sum of squared residuals a.
>
> The command I am using is:
>    fitting[x_] = NonlinearFit[data, f[x], {x}, {
>    {Background, {0, 1000}},
>    {Amplitude, {10, 0}},
>    {Wid, {10, 25}}}, Weights -> wt]
> where wt is a column vector that has precisely the same length as the
> data file.
> This command works perfectly if I use either Weights->Automatic or
> something like Weights -> (Sqrt[#] &)
> On the other hand, when the weights are from a list {....} I get the
> following error.
>
>    NonlinearFit::bdwghts: Warning: Value of option Weights ->
>    {{0.00322435}, \
>    {0.00359912}, \[LeftSkeleton]8\[RightSkeleton], \[LeftSkeleton]31\
>    \[RightSkeleton]} is not Automatic, a pure function mapping a
>    response to a \
>    non-negative numerical weight, or a non-negative numerical vector
>    having the \
>    same length as the data. Setting all weights to 1 (Weights ->
>    Automatic).
>
>

```

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