Now if someone can take this method and/or AFL or at least provide a 
how to that takes us into Trigometric curve fitting and extrapolation 
i.e. the solution of simultaneous equations in the generalized format 
of a spectral model i.e. ...

S ~ (a1 cos w1t + b1 sin w1t) + ... + (Am cos wm + bm sin wmt)

Then we might have something fairly useful ...

I suspect Gaussian Elimiation can be used for this as well, but I 
don't have the skill level to calculate the necessary matrix entries 
to get it down ...

Any mathematicians out there ?


--- In [email protected], "Fred" <[EMAIL PROTECTED]> wrote:
>
> When stretch over enough data almost any order will become a pseudo 
> straight line ...
> 
> By their nature a first order IS a straight line, 2nd U shape, 3rd 
> order sine wave etc ...
> 
> Try highlighting a SMALLER segment of data by using the beginning 
and 
> ending range markers ...
> 
> 
> --- In [email protected], "d_hanegan" <dhanegan@> wrote:
> >
> > Fred:
> > 
> > Thanks for your posts and all of the information concerning the 
> > Polynomial Trendlines.  When I run the code, I pretty much just 
get 
> > a straight green line; it does not fit my data.  I thought I had 
> > read all of the posts.  Am I missing something? 
> > 
> > Thanks.
> > 
> > Dan
> > --- In [email protected], "Fred" <ftonetti@> wrote:
> > >
> > > Be AWARE ... that was a hand picked image ... if you play with 
> > > PolyFit you will see that sometimes data fits the 
extrapolations, 
> > > sometimes it doesn't.
> > > 
> > > The higher the order, the flakier the extrapolations are likely 
> to 
> > > become ...
> > > 
> > > So ... Remember what it is ... a generator of an equation in 
the 
> > form 
> > > 
> > > Y = a + bx + cx^2 + ... + nx^(n-1)
> > > 
> > > Where the coeeficients were pick to fit the data.
> > > 
> > > IMHO what PolyFit is, epecially with very high orders is a very 
> > good 
> > > detrender of IN SAMPLE data, nothing more, nothing less ... 
That 
> > in 
> > > and of itself is a useful tool ... Gaussian Elimination can 
also 
> > be 
> > > the basis for some other things that are pretty decent when the 
> > order 
> > > is kept fairly low i.e. 3 or 4 ...
> > > 
> > > --- In [email protected], "Ara Kaloustian" <ara1@> 
wrote:
> > > >
> > > > Polynomial TrendlinesFred,
> > > > 
> > > > There have been a lot of posting on this subject.  Your one 
> > image 
> > > however is a very powerful message of its potential.
> > > > 
> > > > Now I have to go back and review all the post ... hoping to 
> find 
> > a 
> > > good reference to study.
> > > > 
> > > > Anyone using it succesfully now?
> > > > 
> > > > Ara
> > > >   ----- Original Message ----- 
> > > >   From: Fred Tonetti 
> > > >   To: [email protected] 
> > > >   Sent: Tuesday, October 03, 2006 3:32 PM
> > > >   Subject: [amibroker] RE: Polynomial Trendlines
> > > > 
> > > > 
> > > >   Oops .
> > > > 
> > > >    
> > > > 
> > > >   Meant to include this visual .
> > > > 
> > > >    
> > > > 
> > > >   Green is calculated . White is extrapolated .
> > > > 
> > > >    
> > > > 
> > > >    
> > > > 
> > > > 
> > > > 
> > > > --------------------------------------------------------------
--
> -
> > ---
> > > ----------
> > > >   I am using the free version of SPAMfighter for private 
users.
> > > >   It has removed 8588 spam emails to date.
> > > >   Paying users do not have this message in their emails.
> > > >   Try SPAMfighter for free now!
> > > >
> > >
> >
>






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