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Offline CBG  
#1 Posted : 26 April 2019 06:06:13(UTC)
CBG


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Another example of curve fitting by the least squares method
with option to select the power of the polynomial, or
select the adjustment of the curve to exponential or potential.

LSM_with_option.png

Ajust_by_Last_Square_Selection_Jean.sm (57kb) downloaded 121 time(s).


Best Regards

Carlos
thanks 5 users thanked CBG for this useful post.
on 26/04/2019(UTC),  on 26/04/2019(UTC),  on 26/04/2019(UTC),  on 26/04/2019(UTC),  on 28/04/2019(UTC)

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Offline Jean Giraud  
#2 Posted : 26 April 2019 16:40:32(UTC)
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Originally Posted by: CBG Go to Quoted Post
Another example of curve fitting by the least squares method
with option to select the power of the polynomial, or
select the adjustment of the curve to exponential or potential.

Hola Carlos !
Couldn't open the attached SS 7030 work sheet.
It happened another time from maybe Alvaro ?
Seemingly caused by 2 of your modules not activated.
My SS 6179 does not closed those two particular modules.

However, I have recognized the flat parabola data set.
I'm sure your proposal will have more applications.
Data sets with flat region best fit by model function,
like this one from al_nleqsolve, always assumed noisy.
Two flat parabolas attached
Thanks... Cheers ... Jean

Genfit [Algo Minimize(Cholesky_3 NonLinear)].sm (38kb) downloaded 50 time(s).
Genfit al_ nleqsolve [Edu Model FLAT Parabola].sm (31kb) downloaded 40 time(s).



Offline CBG  
#3 Posted : 26 April 2019 20:18:39(UTC)
CBG


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Was thanked: 77 time(s) in 58 post(s)
Originally Posted by: Jean Giraud Go to Quoted Post

Hola Carlos !
Couldn't open the attached SS 7030 work sheet.
It happened another time from maybe Alvaro ?
Seemingly caused by 2 of your modules not activated.
My SS 6179 does not closed those two particular modules.



Hola Jean

Here you have a version in 6179 of the work sheet
of the method of adjustment of curves by least squares


Ajust_by_Last_Square_Selection_Jean_V6179.sm (53kb) downloaded 68 time(s).

Cheers


Carlos
Offline Jean Giraud  
#4 Posted : 29 April 2019 17:02:17(UTC)
Jean Giraud

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Originally Posted by: CBG Go to Quoted Post
Another example of curve fitting by the least squares method
with option to select the power of the polynomial, or
select the adjustment of the curve to exponential or potential.

Hola Carlos.
Thanks for your contribution, most appreciated. More bed time reading.
VISITORS: download all, as they are minimalist Fit Classroom.
One more method is not listed wrt Polynomial fit: the Robert lsq.
Problem is that I can't make it work Mathcad ORIGIN (1)
Next Classroom is large as applied to a large collection of applied projects.
This next Classroom is mostly based on fitting parametric model function(s)

Cheers ... Jean

Genfit 0 Ge SubCryogenic.sm (39kb) downloaded 33 time(s).
Genfit 00 Carlos-Cholesky.sm (38kb) downloaded 25 time(s).
Genfit 0000 Adjust Linear.sm (50kb) downloaded 29 time(s).
Genfit 000000 LinfitCheby.sm (78kb) downloaded 27 time(s).
Genfit 00000 Linfit Linear.sm (33kb) downloaded 34 time(s).
Genfit 000Carlos.sm (46kb) downloaded 27 time(s).
Genfit 00000000 PolyOrder.sm (26kb) downloaded 39 time(s).
Genfit 000000000 Thiele Corn Thermies.sm (45kb) downloaded 28 time(s).
Genfit 0000000 Rational Auto-init ITER.sm (85kb) downloaded 23 time(s).
Genfit 0000000000 Rational Num_Denom Order.sm (78kb) downloaded 24 time(s).
Offline Jean Giraud  
#5 Posted : 30 April 2019 17:32:23(UTC)
Jean Giraud

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Was thanked: 980 time(s) in 808 post(s)
... a must visit suite.
Three examples most useful for Engineering/Scientific
1. DE sol is intuitive of attempting a fit to your DE
2. Corn Thermies is more local agriculture
3. HadCRUt4 is most advanced Scientific.
So much BS & BK on that blabla parrot
BS & BK => from my old friend Ken [Bull Shit & Book Keeping].
Former Collab Theodore tried all possible orthogonal polynomials,
not to avail vs ChebyShev [I guess Russian does not lie]

Jean

Genfit 00000000000 LinfitCheby Order [DE sol].sm (31kb) downloaded 42 time(s).
Genfit 00000000000 LinfitCheby Order [Corn Thermies].sm (31kb) downloaded 27 time(s).
Genfit 00000000000 LinfitCheby Order [HadCRU].sm (194kb) downloaded 30 time(s).
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