csharpfftfsharpintegrationinterpolationlinear-algebramathdifferentiationmatrixnumericsrandomregressionstatisticsmathnet
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
142 lines
4.6 KiB
142 lines
4.6 KiB
NIST/ITL StRD
|
|
Dataset Name: Filip (Filip.dat)
|
|
|
|
File Format: ASCII
|
|
Certified Values (lines 31 to 55)
|
|
Data (lines 61 to 142)
|
|
|
|
Procedure: Linear Least Squares Regression
|
|
|
|
Reference: Filippelli, A., NIST.
|
|
|
|
Data: 1 Response Variable (y)
|
|
1 Predictor Variable (x)
|
|
82 Observations
|
|
Higher Level of Difficulty
|
|
Observed Data
|
|
|
|
Model: Polynomial Class
|
|
11 Parameters (B0,B1,...,B10)
|
|
|
|
y = B0 + B1*x + B2*(x**2) + ... + B9*(x**9) + B10*(x**10) + e
|
|
|
|
|
|
|
|
|
|
Certified Regression Statistics
|
|
|
|
Standard Deviation
|
|
Parameter Estimate of Estimate
|
|
|
|
B0 -1467.48961422980 298.084530995537
|
|
B1 -2772.17959193342 559.779865474950
|
|
B2 -2316.37108160893 466.477572127796
|
|
B3 -1127.97394098372 227.204274477751
|
|
B4 -354.478233703349 71.6478660875927
|
|
B5 -75.1242017393757 15.2897178747400
|
|
B6 -10.8753180355343 2.23691159816033
|
|
B7 -1.06221498588947 0.221624321934227
|
|
B8 -0.670191154593408E-01 0.142363763154724E-01
|
|
B9 -0.246781078275479E-02 0.535617408889821E-03
|
|
B10 -0.402962525080404E-04 0.896632837373868E-05
|
|
|
|
Residual
|
|
Standard Deviation 0.334801051324544E-02
|
|
|
|
R-Squared 0.996727416185620
|
|
|
|
|
|
Certified Analysis of Variance Table
|
|
|
|
Source of Degrees of Sums of Mean
|
|
Variation Freedom Squares Squares F Statistic
|
|
|
|
Regression 10 0.242391619837339 0.242391619837339E-01 2162.43954511489
|
|
Residual 71 0.795851382172941E-03 0.112091743968020E-04
|
|
|
|
|
|
|
|
|
|
Data: y x
|
|
0.8116 -6.860120914
|
|
0.9072 -4.324130045
|
|
0.9052 -4.358625055
|
|
0.9039 -4.358426747
|
|
0.8053 -6.955852379
|
|
0.8377 -6.661145254
|
|
0.8667 -6.355462942
|
|
0.8809 -6.118102026
|
|
0.7975 -7.115148017
|
|
0.8162 -6.815308569
|
|
0.8515 -6.519993057
|
|
0.8766 -6.204119983
|
|
0.8885 -5.853871964
|
|
0.8859 -6.109523091
|
|
0.8959 -5.79832982
|
|
0.8913 -5.482672118
|
|
0.8959 -5.171791386
|
|
0.8971 -4.851705903
|
|
0.9021 -4.517126416
|
|
0.909 -4.143573228
|
|
0.9139 -3.709075441
|
|
0.9199 -3.499489089
|
|
0.8692 -6.300769497
|
|
0.8872 -5.953504836
|
|
0.89 -5.642065153
|
|
0.891 -5.031376979
|
|
0.8977 -4.680685696
|
|
0.9035 -4.329846955
|
|
0.9078 -3.928486195
|
|
0.7675 -8.56735134
|
|
0.7705 -8.363211311
|
|
0.7713 -8.107682739
|
|
0.7736 -7.823908741
|
|
0.7775 -7.522878745
|
|
0.7841 -7.218819279
|
|
0.7971 -6.920818754
|
|
0.8329 -6.628932138
|
|
0.8641 -6.323946875
|
|
0.8804 -5.991399828
|
|
0.7668 -8.781464495
|
|
0.7633 -8.663140179
|
|
0.7678 -8.473531488
|
|
0.7697 -8.247337057
|
|
0.77 -7.971428747
|
|
0.7749 -7.676129393
|
|
0.7796 -7.352812702
|
|
0.7897 -7.072065318
|
|
0.8131 -6.774174009
|
|
0.8498 -6.478861916
|
|
0.8741 -6.159517513
|
|
0.8061 -6.835647144
|
|
0.846 -6.53165267
|
|
0.8751 -6.224098421
|
|
0.8856 -5.910094889
|
|
0.8919 -5.598599459
|
|
0.8934 -5.290645224
|
|
0.894 -4.974284616
|
|
0.8957 -4.64454848
|
|
0.9047 -4.290560426
|
|
0.9129 -3.885055584
|
|
0.9209 -3.408378962
|
|
0.9219 -3.13200249
|
|
0.7739 -8.726767166
|
|
0.7681 -8.66695597
|
|
0.7665 -8.511026475
|
|
0.7703 -8.165388579
|
|
0.7702 -7.886056648
|
|
0.7761 -7.588043762
|
|
0.7809 -7.283412422
|
|
0.7961 -6.995678626
|
|
0.8253 -6.691862621
|
|
0.8602 -6.392544977
|
|
0.8809 -6.067374056
|
|
0.8301 -6.684029655
|
|
0.8664 -6.378719832
|
|
0.8834 -6.065855188
|
|
0.8898 -5.752272167
|
|
0.8964 -5.132414673
|
|
0.8963 -4.811352704
|
|
0.9074 -4.098269308
|
|
0.9119 -3.66174277
|
|
0.9228 -3.2644011
|
|
|