JCSM Shareware Collection 1993 November/JCSM Shareware Collection - 1993-11.iso/cl760/datafitj.lzh/DEMO5.FIT

Text File | 1992-10-07 | 4.5 KB | 397 lines

DataFit 1.1b data file. [2]
50

*
i
*
ln(2+3*i+4*i^2) + normal(0.2)








***∙∙∙
ln(a+b*x+c*x^2)  ;ln(parabola)
x





100
1000
1e-6
*
1e6
***∙∙∙
x
1
y
0
z
0
x1
0
y1
0
z1
0
2
3

4
x
0.2
5

0
*
a
0
*
b
0
*
c
0

d
0

e
0

f
0

g
0

h
0

i
0

j
0

k
0

l
0

m
0

n
0

o
0

p
0

q
0

r
0

s
0

t
0
***∙∙∙
78
5
*

*
*


datafit1.out

4

12
x

x

 DEMO5.FIT  -  DataFit demo file.  Illustration of the dangers of
               using transformations to linearise highly non-linear
               functions. Solve with Linear, then Levenberg/Marquadt.
               Compare Monte Carlo results and the graphs of the fits.
***∙∙∙

x








datafit1.grf

x








***∙∙∙
2

"Fitted function: y = ~f"
"x"
"y"
6

8

0

*
12
12
2
8


5e-2
6
4
1
1
0
0
0
50
10
0
10
2
5
5
2
2


*

*



*
*
0.2
0.2
1.2
3

10
"a = ",a
"b = ",b
"c = ",c






***∙∙∙

"Y-data"
"Y-fitted"
6

8

0

*
12
12
2
8


5e-2
6
4
1
1
0
0
0
10
10
0
2
2
5
5
2
2


*

*



*
*
0.2
0.2
1.2
3

10
"a = ",a
"b = ",b
"c = ",c






***∙∙∙
"Residuals vs Y-data for f(x) = ~f"
Y-data
Residuals
6

8

0

*
12
12
2
6
*

5e-2
6
4
1
1
2
-1
0
10
1
0
2
0.5
5
5
2
2




*




*
0.2
0.2
3
3

12









***∙∙∙
9
ln(a+b*x+c*x^2)  ;ln(parabola)









200 6 50
1 2.325511075 2.404686413 7.917533807e-2 2.477106829 0
2 3.176314635 3.182858014 6.54337906e-3 3.597002604 0
3 4.361650571 3.805946597 -5.557039743e-1 4.558034344 0
4 4.282842774 4.299074449 1.623167518e-2 4.172865266 0
5 4.481290905 4.701452855 2.201619501e-1 5.013256031 0
6 5.034863248 5.039508015 4.644767313e-3 4.739075936 0
7 4.928018679 5.330264796 4.022461168e-1 5.065451347 0
8 5.551508879 5.585009642 3.350076255e-2 5.453649564 0
9 5.584069784 5.811514141 2.27444357e-1 5.550749131 0
1e1 5.732291165 6.015322801 2.830316361e-1 5.665829112 0
1.1e1 6.3223906 6.200515369 -1.218752311e-1 6.286648997 0
1.2e1 6.513722542 6.370174319 -1.435482233e-1 6.230233338 0
1.3e1 6.668444316 6.526682021 -1.417622948e-1 6.370332499 0
1.4e1 6.647574611 6.67191602 2.434140891e-2 6.722007206 0
1.5e1 6.840148183 6.807381224 -3.276695879e-2 6.966470044 0
1.6e1 7.032253413 6.93430179 -9.795162299e-2 7.372736189 0
1.7e1 7.232961456 7.053686493 -1.792749631e-1 7.370530032 0
1.8e1 7.268500661 7.166376217 -1.021244439e-1 7.51900784 0
1.9e1 7.156909926 7.273079099 1.161691729e-1 7.024619346 0
2e1 7.322222926 7.374396967 5.21740414e-2 7.383958467 0
2.1e1 7.45688341 7.470845538 1.39621282e-2 7.332027411 0
2.2e1 7.652202997 7.562870045 -8.933295215e-2 7.71052021 0
2.3e1 7.879985803 7.650857487 -2.291283156e-1 7.668425264 0
2.4e1 7.455322901 7.735146338 2.798234368e-1 7.542780508 0
2.5e1 7.439995588 7.81603431 3.760387219e-1 7.664852485 0
2.6e1 8.111345048 7.893784636 -2.175604118e-1 8.139086083 0
2.7e1 7.619454514 7.968631185 3.491766711e-1 7.433993399 0
2.8e1 8.078398058 8.040782663 -3.761539464e-2 7.891010023 0
2.9e1 7.799325574 8.110426095 3.111005208e-1 8.001466111 0
3e1 8.173958551 8.177729718 3.771167478e-3 8.566447318 0
3.1e1 8.273981156 8.242845419 -3.113573676e-2 8.437122207 0
3.2e1 8.146198523 8.305910778 1.597122549e-1 8.16059705 0
3.3e1 8.307643015 8.36705081 5.940779537e-2 8.217634771 0
3.4e1 8.33647489 8.426379451 8.99045607e-2 8.685724243 0
3.5e1 8.336968798 8.484000822 1.470320237e-1 8.213101435 0
3.6e1 8.696140079 8.540010329 -1.561297502e-1 8.511024538 0
3.7e1 8.565219018 8.594495606 2.927658786e-2 8.574360234 0
3.8e1 8.48038099 8.647537336 1.671563458e-1 8.23395226 0
3.9e1 8.92902547 8.699209967 -2.298155034e-1 8.615306819 0
4e1 8.968773613 8.749582337 -2.191912765e-1 8.759966916 0
4.1e1 9.148985044 8.798718224 -3.502668202e-1 8.936603905 0
4.2e1 8.911512405 8.84667683 -6.483557498e-2 9.257392078 0
4.3e1 8.678623245 8.893513208 2.148899627e-1 8.622134293 0
4.4e1 8.835300712 8.939278639 1.039779268e-1 8.583249755 0
4.5e1 9.284560439 8.984020971 -3.00539468e-1 8.754077715 0
4.6e1 9.275178727 9.027784918 -2.473938094e-1 9.307919701 0
4.7e1 9.27710348 9.070612325 -2.064911548e-1 9.351408216 0
4.8e1 9.017154688 9.112542413 9.538772532e-2 8.864438721 0
4.9e1 9.198755178 9.15361199 -4.514318787e-2 9.198149142 0
5e1 9.260551014 9.193855646 -6.669536843e-2 9.172741304 0