📄 approximation1.dat.ada
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Response Surface Model
Model input parameters:
x01 = "BraceDepth"
x02 = "BraceWidth"
x03 = "BraceHeight"
x04 = "InnerHoleR"
x05 = "OuterHoleR"
x06 = "OuterHoleDepth"
x07 = "WebThickness"
Model output parameters:
y01 = "SEQMAX"
y02 = "VOLUMEAnsys"
y03 = "VOLUMEProE"
y04 = "a"
y05 = "b"
y06 = "c"
MODEL DATA
Number of inputs: 7
Number of outputs: 6
Number of recorded designs: 9
Number of polynomial terms: 9
Included polynomial terms: 0,1,2,3,4,5,6,7,1-1
Rank of least-squares matrix: 9
Matrix with UNSCALED design inputs:
design # x01 x02 x03 x04 x05 x06 x07
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 | 0.675 | 3.04287 | 1.6249975 | 0.813569 | 0.92857 | 0.17946375 | 0.143571 |
2 | 0.6964275 | 3.12858 | 1.7249925 | 0.9107155 | 0.95714 | 0.20625 | 0.1392855 |
3 | 0.717855 | 2.95713 | 1.674995 | 0.886431 | 0.98571 | 0.19553625 | 0.1607145 |
4 | 0.7392825 | 3.21429 | 1.925 | 0.765 | 1.01429 | 0.200893125 | 0.165 |
5 | 0.7607175 | 3.3 | 1.8750025 | 0.8621465 | 1.04286 | 0.184820625 | 0.156429 |
6 | 0.782145 | 2.7 | 1.7750075 | 0.935 | 0.9 | 0.16875 | 0.135 |
7 | 0.8035725 | 2.87142 | 1.825005 | 0.7892845 | 1.1 | 0.174106875 | 0.1478565 |
8 | 0.825 | 2.78571 | 1.575 | 0.8378535 | 1.07143 | 0.190179375 | 0.1521435 |
9 | 0.825 | 3.3 | 1.575 | 0.765 | 0.9 | 0.20625 | 0.135 |
Matrix with SCALED (-1...1) design inputs:
design # x01 x02 x03 x04 x05 x06 x07
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 | -1 | 0.142900000000001 | -0.7143 | -0.428600000000001 | -0.7143 | -0.428599999999999 | -0.428600000000001 |
2 | -0.7143 | 0.428600000000001 | -0.142900000000001 | 0.7143 | -0.428599999999999 | 1 | -0.714300000000001 |
3 | -0.428599999999999 | -0.142900000000001 | -0.428600000000001 | 0.428599999999999 | -0.142900000000001 | 0.428600000000001 | 0.7143 |
4 | -0.142900000000001 | 0.714300000000001 | 0.999999999999998 | -1 | 0.142899999999999 | 0.714300000000001 | 1 |
5 | 0.142900000000001 | 1 | 0.714299999999998 | 0.142899999999999 | 0.428599999999999 | -0.142900000000001 | 0.428599999999999 |
6 | 0.428600000000001 | -1 | 0.142899999999999 | 1 | -1 | -1 | -1 |
7 | 0.714300000000001 | -0.428599999999999 | 0.428599999999999 | -0.7143 | 1 | -0.7143 | -0.142900000000001 |
8 | 1 | -0.7143 | -1 | -0.142900000000001 | 0.714300000000001 | 0.142900000000001 | 0.142899999999997 |
9 | 1 | 1 | -1 | -1 | -1 | 1 | -1 |
Matrix with design outputs:
design # y01 y02 y03 y04 y05 y06
----------------------------------------------------------------------------------------------------------------------------------------------------------
1 | 16759.648 | 21.0508683 | 21.050688 | 0.898588 | 0.115001 | 0.6964275 |
2 | 33519.296 | 42.1017366 | 42.101376 | 0.935729 | 0.0464245 | 0.7678525 |
3 | 67038.592 | 84.2034732 | 84.202752 | 0.664281 | 0.099279 | 0.689285 |
4 | 20951.0874 | 22.8856422 | 22.885532 | 0.85571 | 0.24929 | 0.91071 |
5 | 19549.1864 | 22.8737385 | 22.873529 | 0.901422 | 0.1807135 | 0.8321425 |
6 | 39098.3728 | 45.747477 | 45.747058 | 0.63 | -0.035 | 0.8750075 |
7 | 18373.6831 | 21.7448263 | 21.744593 | 0.375707 | 0.3107155 | 0.725005 |
8 | 16915.9258 | 20.8021132 | 20.801943 | 0.338563 | 0.2335765 | 0.50357 |
9 | 20384.2053 | 22.8491083 | 22.84892 | 1.23 | 0.135 | 0.675 |
Matrix with model coefficients for SCALED (-1...1) inputs:
output const x01 x02 x03 x04 x05 x06 x07 x01**2
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
y01 | 84177.2030184664 | -15805.4021786828 | -11337.6997012738 | -57510.890625 | -21185.5980638598 | 15883.24609375 | 4967.91357421875 | -24251.44140625 | -128682.494891288 |
y02 | 105.618548690147 | -21.7302709835661 | -13.9540858663969 | -75.1071548461914 | -26.7503122120611 | 22.4514083862305 | 6.12661361694336 | -31.742166519165 | -164.359921043209 |
y03 | 105.617554974882 | -21.7300588015528 | -13.953983730184 | -75.1063995361328 | -26.7500520675196 | 22.4511394500732 | 6.12659692764282 | -31.7418003082275 | -164.358303682338 |
y04 | 0.7 | -6.31988577327439e-017 | 0.3 | -7.4819177266669e-016 | 1.38689565261272e-017 | -0.200000002980232 | -3.80739324557338e-016 | -0.0299999993294477 | -5.34200200928809e-016 |
y05 | 0.15 | -7.82919554814056e-017 | -5.47491459433797e-017 | -2.43459238957955e-016 | -0.0850000000000002 | 0.100000001490116 | 5.03501993359721e-017 | -2.22283891732631e-016 | -8.28015787927376e-016 |
y06 | 0.75 | 2.67286130829269e-016 | 4.83021341248899e-017 | 0.174999997019768 | 2.56048545000881e-016 | -0.100000001490116 | 1.1465255332555e-016 | 2.28264473735838e-016 | 6.87787721783402e-016 |
Matrix with model coefficients for UNSCALED inputs:
output const x01 x02 x03 x04 x05 x06 x07 x01**2
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
y01 | -11691673.5456494 | 34104592.5925926 | -37792.3323375709 | -328633.659436399 | -249242.323791836 | 158832.465511485 | 264955.383573284 | -1616762.78635658 | -22876887.7914952 |
y02 | -14923.3138871064 | 43539.5746527778 | -46.5136195546453 | -429.183728191313 | -314.709549343214 | 224.514092401488 | 326.752729914282 | -2116.1443158187 | -29219.5408950617 |
y03 | -14923.1672110295 | 43539.146412037 | -46.513279100602 | -429.179446333764 | -314.706510972986 | 224.511397460443 | 326.751837158586 | -2116.12008387836 | -29219.2536865569 |
y04 | -7.83523888378166e-014 | 1.71986147353019e-013 | 1 | -1.37835316399631e-015 | 4.70392101026047e-015 | -1.99999994080168 | 3.29003216890564e-014 | -2.00000005950376 | -1.10285208582261e-013 |
y05 | 4.18788451864047e-014 | -1.10567198561706e-013 | -1.97941784467856e-016 | 1.68777386347083e-015 | -1.00000001143609 | 0.999999970400838 | -6.18216646478955e-015 | 9.38444257254599e-015 | 7.26103803212415e-014 |
y06 | 7.34623157089899e-014 | -2.01025418340871e-013 | 7.21073643418619e-016 | 0.999999997910716 | 2.68156007981397e-015 | -0.999999970400838 | -6.89724030311557e-015 | -3.57321172695479e-015 | 1.33628572146981e-013 |
R^2 analysis not used: number of designs (9) equals the number of polynomial coefficients (9)
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