Reference data from NIST (National Institute of Standards and Technology) http://www.itl.nist.gov/div898/strd/general/dataarchive.html -------------------------------------------------------------------------- Each set of data contains: * The name of the set * The definition of the regression model * The number of points * The (x,y) data * The reference parameter values with their standard deviations * The residual standard deviation * For linear and polynomial models: R^2 and F -------------------------------------------------------------------------- Norris Linear 36 0.2 0.1 337.4 338.8 118.2 118.1 884.6 888 10.1 9.2 226.5 228.1 666.3 668.5 996.3 998.5 448.6 449.1 777 778.9 558.2 559.2 0.4 0.3 0.6 0.1 775.5 778.1 666.9 668.8 338 339.3 447.5 448.9 11.6 10.8 556 557.7 228.1 228.3 995.8 998 887.6 888.8 120.2 119.6 0.3 0.3 0.3 0.6 556.8 557.6 339.1 339.3 887.2 888 999 998.5 779 778.9 11.1 10.2 118.3 117.6 229.2 228.9 669.1 668.4 448.9 449.2 0.5 0.2 -0.262323073774029 0.232818234301152 1.00211681802045 0.429796848199937E-03 0.884796396144373 0.999993745883712 5436385.54079785 Longley Multilinear, 6, constant term 16 83 234289 2356 1590 107608 1947 60323 88.5 259426 2325 1456 108632 1948 61122 88.2 258054 3682 1616 109773 1949 60171 89.5 284599 3351 1650 110929 1950 61187 96.2 328975 2099 3099 112075 1951 63221 98.1 346999 1932 3594 113270 1952 63639 99 365385 1870 3547 115094 1953 64989 100 363112 3578 3350 116219 1954 63761 101.2 397469 2904 3048 117388 1955 66019 104.6 419180 2822 2857 118734 1956 67857 108.4 442769 2936 2798 120445 1957 68169 110.8 444546 4681 2637 121950 1958 66513 112.6 482704 3813 2552 123366 1959 68655 114.2 502601 3931 2514 125368 1960 69564 115.7 518173 4806 2572 127852 1961 69331 116.9 554894 4007 2827 130081 1962 70551 -3482258.63459582 890420.383607373 15.0618722713733 84.9149257747669 -0.358191792925910E-01 0.334910077722432E-01 -2.02022980381683 0.488399681651699 -1.03322686717359 0.214274163161675 -0.511041056535807E-01 0.226073200069370 1829.15146461355 455.478499142212 304.854073561965 0.995479004577296 330.285339234588 Pontius Polynomial, 2 40 150000 0.11019 300000 0.21956 450000 0.32949 600000 0.43899 750000 0.54803 900000 0.65694 1050000 0.76562 1200000 0.87487 1350000 0.98292 1500000 1.09146 1650000 1.20001 1800000 1.30822 1950000 1.41599 2100000 1.52399 2250000 1.63194 2400000 1.73947 2550000 1.84646 2700000 1.95392 2850000 2.06128 3000000 2.16844 150000 0.11052 300000 0.22018 450000 0.32939 600000 0.43886 750000 0.54798 900000 0.65739 1050000 0.76596 1200000 0.87474 1350000 0.983 1500000 1.0915 1650000 1.20004 1800000 1.30818 1950000 1.41613 2100000 1.52408 2250000 1.63159 2400000 1.73965 2550000 1.84696 2700000 1.95445 2850000 2.06177 3000000 2.16829 0.673565789473684E-03 0.107938612033077E-03 0.732059160401003E-06 0.157817399981659E-09 -0.316081871345029E-14 0.486652849992036E-16 0.205177424076185E-03 0.999999900178537 185330865.995752 Wampler 1 Polynomial, 5 21 0 1 1 6 2 63 3 364 4 1365 5 3906 6 9331 7 19608 8 37449 9 66430 10 111111 11 177156 12 271453 13 402234 14 579195 15 813616 16 1118481 17 1508598 18 2000719 19 2613660 20 3368421 1.00000000000000 0.000000000000000 1.00000000000000 0.000000000000000 1.00000000000000 0.000000000000000 1.00000000000000 0.000000000000000 1.00000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 1.000000000000000 1E38 Wampler 2 Polynomial, 5 21 0 1 1 1.11111 2 1.24992 3 1.42753 4 1.65984 5 1.96875 6 2.38336 7 2.94117 8 3.68928 9 4.68559 10 6 11 7.71561 12 9.92992 13 12.75603 14 16.32384 15 20.78125 16 26.29536 17 33.05367 18 41.26528 19 51.16209 20 63 1.00000000000000 0.000000000000000 0.100000000000000 0.000000000000000 0.100000000000000E-01 0.000000000000000 0.100000000000000E-02 0.000000000000000 0.100000000000000E-03 0.000000000000000 0.100000000000000E-04 0.000000000000000 0.000000000000000 1.000000000000000 1E38 Wampler 3 Polynomial, 5 21 0 760 1 -2042 2 2111 3 -1684 4 3888 5 1858 6 11379 7 17560 8 39287 9 64382 10 113159 11 175108 12 273291 13 400186 14 581243 15 811568 16 1121004 17 1506550 18 2002767 19 2611612 20 3369180 1.00000000000000 2152.32624678170 1.00000000000000 2363.55173469681 1.00000000000000 779.343524331583 1.00000000000000 101.475507550350 1.00000000000000 5.64566512170752 1.00000000000000 0.112324854679312 2360.14502379268 0.999995559025820 675524.458240122 Wampler 4 Polynomial, 5 21 0 75901 1 -204794 2 204863 3 -204436 4 253665 5 -200894 6 214131 7 -185192 8 221249 9 -138370 10 315911 11 -27644 12 455253 13 197434 14 783995 15 608816 16 1370781 17 1303798 18 2205519 19 2408860 20 3444321 1.00000000000000 215232.624678170 1.00000000000000 236355.173469681 1.00000000000000 77934.3524331583 1.00000000000000 10147.5507550350 1.00000000000000 564.566512170752 1.00000000000000 11.2324854679312 236014.502379268 0.957478440825662 67.5524458240122 Wampler 5 Polynomial, 5 21 0 7590001 1 -20479994 2 20480063 3 -20479636 4 25231365 5 -20476094 6 20489331 7 -20460392 8 18417449 9 -20413570 10 20591111 11 -20302844 12 18651453 13 -20077766 14 21059195 15 -19666384 16 26348481 17 -18971402 18 22480719 19 -17866340 20 10958421 1.00000000000000 21523262.4678170 1.00000000000000 23635517.3469681 1.00000000000000 7793435.24331583 1.00000000000000 1014755.07550350 1.00000000000000 56456.6512170752 1.00000000000000 1123.24854679312 23601450.2379268 0.224668921574940E-02 6.7552445824012241E-03 Filippelli Polynomial, 10 82 -6.860120914 0.8116 -4.324130045 0.9072 -4.358625055 0.9052 -4.358426747 0.9039 -6.955852379 0.8053 -6.661145254 0.8377 -6.355462942 0.8667 -6.118102026 0.8809 -7.115148017 0.7975 -6.815308569 0.8162 -6.519993057 0.8515 -6.204119983 0.8766 -5.853871964 0.8885 -6.109523091 0.8859 -5.79832982 0.8959 -5.482672118 0.8913 -5.171791386 0.8959 -4.851705903 0.8971 -4.517126416 0.9021 -4.143573228 0.909 -3.709075441 0.9139 -3.499489089 0.9199 -6.300769497 0.8692 -5.953504836 0.8872 -5.642065153 0.89 -5.031376979 0.891 -4.680685696 0.8977 -4.329846955 0.9035 -3.928486195 0.9078 -8.56735134 0.7675 -8.363211311 0.7705 -8.107682739 0.7713 -7.823908741 0.7736 -7.522878745 0.7775 -7.218819279 0.7841 -6.920818754 0.7971 -6.628932138 0.8329 -6.323946875 0.8641 -5.991399828 0.8804 -8.781464495 0.7668 -8.663140179 0.7633 -8.473531488 0.7678 -8.247337057 0.7697 -7.971428747 0.77 -7.676129393 0.7749 -7.352812702 0.7796 -7.072065318 0.7897 -6.774174009 0.8131 -6.478861916 0.8498 -6.159517513 0.8741 -6.835647144 0.8061 -6.53165267 0.846 -6.224098421 0.8751 -5.910094889 0.8856 -5.598599459 0.8919 -5.290645224 0.8934 -4.974284616 0.894 -4.64454848 0.8957 -4.290560426 0.9047 -3.885055584 0.9129 -3.408378962 0.9209 -3.13200249 0.9219 -8.726767166 0.7739 -8.66695597 0.7681 -8.511026475 0.7665 -8.165388579 0.7703 -7.886056648 0.7702 -7.588043762 0.7761 -7.283412422 0.7809 -6.995678626 0.7961 -6.691862621 0.8253 -6.392544977 0.8602 -6.067374056 0.8809 -6.684029655 0.8301 -6.378719832 0.8664 -6.065855188 0.8834 -5.752272167 0.8898 -5.132414673 0.8964 -4.811352704 0.8963 -4.098269308 0.9074 -3.66174277 0.9119 -3.2644011 0.9228 -1467.48961422980 298.084530995537 -2772.17959193342 559.779865474950 -2316.37108160893 466.477572127796 -1127.97394098372 227.204274477751 -354.478233703349 71.6478660875927 -75.1242017393757 15.2897178747400 -10.8753180355343 2.23691159816033 -1.06221498588947 0.221624321934227 -0.670191154593408E-01 0.142363763154724E-01 -0.246781078275479E-02 0.535617408889821E-03 -0.402962525080404E-04 0.896632837373868E-05 0.334801051324544E-02 0.996727416185620 2162.43954511489 Kirby 2 Rational, 2/2, constant term 151 9.65 0.0082 10.74 0.0112 11.81 0.0149 12.88 0.0198 14.06 0.0248 15.28 0.0324 16.63 0.042 18.19 0.0549 19.88 0.0719 21.84 0.0963 24 0.1291 26.25 0.171 28.86 0.2314 31.85 0.3227 35.79 0.4809 40.18 0.7084 44.74 1.022 49.53 1.458 53.94 1.952 58.29 2.541 62.63 3.223 67.03 3.999 71.25 4.852 75.22 5.732 79.33 6.727 83.56 7.835 87.75 9.025 91.93 10.267 96.1 11.578 100.28 12.944 104.46 14.377 108.66 15.856 112.71 17.331 116.88 18.885 121.33 20.575 125.79 22.32 125.79 22.303 128.74 23.46 130.27 24.06 133.33 25.272 134.79 25.853 137.93 27.11 139.33 27.658 142.46 28.924 143.9 29.511 146.91 30.71 148.51 31.35 151.41 32.52 153.17 33.23 155.97 34.33 157.76 35.06 160.56 36.17 162.3 36.84 165.21 38.01 166.9 38.67 169.92 39.87 170.32 40.03 171.54 40.5 173.79 41.37 174.57 41.67 176.25 42.31 177.34 42.73 179.19 43.46 181.02 44.14 182.08 44.55 183.88 45.22 185.75 45.92 186.8 46.3 188.63 47 190.45 47.68 191.48 48.06 193.35 48.74 195.22 49.41 196.23 49.76 198.05 50.43 199.97 51.11 201.06 51.5 202.83 52.12 204.69 52.76 205.86 53.18 207.58 53.78 209.5 54.46 210.65 54.83 212.33 55.4 215.43 56.43 217.16 57.03 220.21 58 221.98 58.61 225.06 59.58 226.79 60.11 229.92 61.1 231.69 61.65 234.77 62.59 236.6 63.12 239.63 64.03 241.5 64.62 244.48 65.49 246.4 66.03 249.35 66.89 251.32 67.42 254.22 68.23 256.24 68.77 259.11 69.59 261.18 70.11 264.02 70.86 266.13 71.43 268.94 72.16 271.09 72.7 273.87 73.4 276.08 73.93 278.83 74.6 281.08 75.16 283.81 75.82 286.11 76.34 288.81 76.98 291.08 77.48 293.75 78.08 295.99 78.6 298.64 79.17 300.84 79.62 302.02 79.88 303.48 80.19 305.65 80.66 308.27 81.22 310.41 81.66 313.01 82.16 315.12 82.59 317.71 83.14 319.79 83.5 322.36 84 324.42 84.4 326.98 84.89 329.01 85.26 331.56 85.74 333.56 86.07 336.1 86.54 338.08 86.89 340.6 87.32 342.57 87.65 345.08 88.1 347.02 88.43 349.52 88.83 351.44 89.12 353.93 89.54 355.83 89.85 358.32 90.25 360.2 90.55 362.67 90.93 364.53 91.2 367 91.55 371.3 92.2 1.6745063063E+00 8.7989634338E-02 -1.3927397867E-01 4.1182041386E-03 2.5961181191E-03 4.1856520458E-05 -1.7241811870E-03 5.8931897355E-05 2.1664802578E-05 2.0129761919E-07 1.6354535131E-01 Thurber Rational, 3/3, constant term 37 -3.067 80.574 -2.981 84.248 -2.921 87.264 -2.912 87.195 -2.84 89.076 -2.797 89.608 -2.702 89.868 -2.699 90.101 -2.633 92.405 -2.481 95.854 -2.363 100.696 -2.322 101.06 -1.501 401.672 -1.46 390.724 -1.274 567.534 -1.212 635.316 -1.1 733.054 -1.046 759.087 -0.915 894.206 -0.714 990.785 -0.566 1090.109 -0.545 1080.914 -0.4 1122.643 -0.309 1178.351 -0.109 1260.531 -0.103 1273.514 0.01 1288.339 0.119 1327.543 0.377 1353.863 0.79 1414.509 0.963 1425.208 1.006 1421.384 1.115 1442.962 1.572 1464.35 1.841 1468.705 2.047 1447.894 2.2 1457.628 1.2881396800E+03 4.6647963344E+00 1.4910792535E+03 3.9571156086E+01 5.8323836877E+02 2.8698696102E+01 7.5416644291E+01 5.5675370270E+00 9.6629502864E-01 3.1333340687E-02 3.9797285797E-01 1.4984928198E-02 4.9727297349E-02 6.5842344623E-03 1.3714600784E+01 Hahn 1 Rational, 3/3, constant term 236 24.41 0.591 34.82 1.547 44.09 2.902 45.07 2.894 54.98 4.703 65.51 6.307 70.53 7.03 75.7 7.898 89.57 9.47 91.14 9.484 96.4 10.072 97.19 10.163 114.26 11.615 120.25 12.005 127.08 12.478 133.55 12.982 133.61 12.97 158.67 13.926 172.74 14.452 171.31 14.404 202.14 15.19 220.55 15.55 221.05 15.528 221.39 15.499 250.99 16.131 268.99 16.438 271.8 16.387 271.97 16.549 321.31 16.872 321.69 16.83 330.14 16.926 333.03 16.907 333.47 16.966 340.77 17.06 345.65 17.122 373.11 17.311 373.79 17.355 411.82 17.668 419.51 17.767 421.59 17.803 422.02 17.765 422.47 17.768 422.61 17.736 441.75 17.858 447.41 17.877 448.7 17.912 472.89 18.046 476.69 18.085 522.47 18.291 522.62 18.357 524.43 18.426 546.75 18.584 549.53 18.61 575.29 18.87 576 18.795 625.55 19.111 20.15 0.367 28.78 0.796 29.57 0.892 37.41 1.903 39.12 2.15 50.24 3.697 61.38 5.87 66.25 6.421 73.42 7.422 95.52 9.944 107.32 11.023 122.04 11.87 134.03 12.786 163.19 14.067 163.48 13.974 175.7 14.462 179.86 14.464 211.27 15.381 217.78 15.483 219.14 15.59 262.52 16.075 268.01 16.347 268.62 16.181 336.25 16.915 337.23 17.003 339.33 16.978 427.38 17.756 428.58 17.808 432.68 17.868 528.99 18.481 531.08 18.486 628.34 19.09 253.24 16.062 273.13 16.337 273.66 16.345 282.1 16.388 346.62 17.159 347.19 17.116 348.78 17.164 351.18 17.123 450.1 17.979 450.35 17.974 451.92 18.007 455.56 17.993 552.22 18.523 553.56 18.669 555.74 18.617 652.59 19.371 656.2 19.33 14.13 0.08 20.41 0.248 31.3 1.089 33.84 1.418 39.7 2.278 48.83 3.624 54.5 4.574 60.41 5.556 72.77 7.267 75.25 7.695 86.84 9.136 94.88 9.959 96.4 9.957 117.37 11.6 139.08 13.138 147.73 13.564 158.63 13.871 161.84 13.994 192.11 14.947 206.76 15.473 209.07 15.379 213.32 15.455 226.44 15.908 237.12 16.114 330.9 17.071 358.72 17.135 370.77 17.282 372.72 17.368 396.24 17.483 416.59 17.764 484.02 18.185 495.47 18.271 514.78 18.236 515.65 18.237 519.47 18.523 544.47 18.627 560.11 18.665 620.77 19.086 18.97 0.214 28.93 0.943 33.91 1.429 40.03 2.241 44.66 2.951 49.87 3.782 55.16 4.757 60.9 5.602 72.08 7.169 85.15 8.92 97.06 10.055 119.63 12.035 133.27 12.861 143.84 13.436 161.91 14.167 180.67 14.755 198.44 15.168 226.86 15.651 229.65 15.746 258.27 16.216 273.77 16.445 339.15 16.965 350.13 17.121 362.75 17.206 371.03 17.25 393.32 17.339 448.53 17.793 473.78 18.123 511.12 18.49 524.7 18.566 548.75 18.645 551.64 18.706 574.02 18.924 623.86 19.1 21.46 0.375 24.33 0.471 33.43 1.504 39.22 2.204 44.18 2.813 55.02 4.765 94.33 9.835 96.44 10.04 118.82 11.946 128.48 12.596 141.94 13.303 156.92 13.922 171.65 14.44 190 14.951 223.26 15.627 223.88 15.639 231.5 15.814 265.05 16.315 269.44 16.334 271.78 16.43 273.46 16.423 334.61 17.024 339.79 17.009 349.52 17.165 358.18 17.134 377.98 17.349 394.77 17.576 429.66 17.848 468.22 18.09 487.27 18.276 519.54 18.404 523.03 18.519 612.99 19.133 638.59 19.074 641.36 19.239 622.05 19.28 631.5 19.101 663.97 19.398 646.9 19.252 748.29 19.89 749.21 20.007 750.14 19.929 647.04 19.268 646.89 19.324 746.9 20.049 748.43 20.107 747.35 20.062 749.27 20.065 647.61 19.286 747.78 19.972 750.51 20.088 851.37 20.743 845.97 20.83 847.54 20.935 849.93 21.035 851.61 20.93 849.75 21.074 850.98 21.085 848.23 20.935 1.0776351733E+00 1.7070154742E-01 -1.2269296921E-01 1.2000289189E-02 4.0863750610E-03 2.2508314937E-04 -1.4262662514E-06 2.7578037666E-07 -5.7609940901E-03 2.4712888219E-04 2.4053735503E-04 1.0449373768E-05 -1.2314450199E-07 1.3027335327E-08 8.1803852243E-02 MGH 17 Exponential, 2, constant term 33 0 0.844 10 0.908 20 0.932 30 0.936 40 0.925 50 0.908 60 0.881 70 0.85 80 0.818 90 0.784 100 0.751 110 0.718 120 0.685 130 0.658 140 0.628 150 0.603 160 0.58 170 0.558 180 0.538 190 0.522 200 0.506 210 0.49 220 0.478 230 0.467 240 0.457 250 0.448 260 0.438 270 0.431 280 0.424 290 0.42 300 0.414 310 0.411 320 0.406 3.7541005211E-01 2.0723153551E-03 -1.4646871366E+00 2.2175707739E-01 2.2122699662E-02 8.9471996575E-04 1.9358469127E+00 2.2031669222E-01 1.2867534640E-02 4.4861358114E-04 1.3970497866E-03 Lanczos 1 Exponential, 3, no constant term 24 0 2.5134 0.05 2.044333373291 0.1 1.668404436564 0.15 1.366418021208 0.2 1.123232487372 0.25 0.9268897180037 0.3 0.7679338563728 0.35 0.6388775523106 0.4 0.5337835317402 0.45 0.4479363617347 0.5 0.377584788435 0.55 0.3197393199326 0.6 0.2720130773746 0.65 0.2324965529032 0.7 0.1996589546065 0.75 0.1722704126914 0.8 0.1493405660168 0.85 0.1300700206922 0.9 0.1138119324644 0.95 0.1000415587559 1 0.0883320908454 1.05 0.0783354401935 1.1 0.06976693743449 1.15 0.06239312536719 1.5575999998E+00 1.8815731448E-10 5.0000000001E+00 1.1057500538E-10 8.6070000013E-01 1.3576062225E-10 3.0000000002E+00 3.3308253069E-10 9.5100000027E-02 5.3347304234E-11 1.0000000001E+00 2.7473038179E-10 8.9156129349E-14 Lanczos 2 Exponential, 3, no constant term 24 0 2.5134 0.05 2.04433 0.1 1.6684 0.15 1.36642 0.2 1.12323 0.25 0.92689 0.3 0.767934 0.35 0.638878 0.4 0.533784 0.45 0.447936 0.5 0.377585 0.55 0.319739 0.6 0.272013 0.65 0.232497 0.7 0.199659 0.75 0.17227 0.8 0.149341 0.85 0.13007 0.9 0.113812 0.95 0.100042 1 0.0883321 1.05 0.0783354 1.1 0.0697669 1.15 0.0623931 1.5529016879E+00 2.3744381417E-03 5.0028798100E+00 1.3958787284E-03 8.6424689056E-01 1.7185846685E-03 3.0078283915E+00 4.1707005856E-03 9.6251029939E-02 6.6770575477E-04 1.0057332849E+00 3.3989646176E-03 1.1130395851E-06 Lanczos 3 Exponential, 3, no constant term 24 0 2.5134 0.05 2.0443 0.1 1.6684 0.15 1.3664 0.2 1.1232 0.25 0.9269 0.3 0.7679 0.35 0.6389 0.4 0.5338 0.45 0.4479 0.5 0.3776 0.55 0.3197 0.6 0.272 0.65 0.2325 0.7 0.1997 0.75 0.1723 0.8 0.1493 0.85 0.1301 0.9 0.1138 0.95 0.1 1 0.0883 1.05 0.0783 1.1 0.0698 1.15 0.0624 1.5825685901E+00 5.8371576281E-02 4.9863565084E+00 3.4436403035E-02 8.4400777463E-01 4.1488663282E-02 2.9515951832E+00 1.0766312506E-01 8.6816414977E-02 1.7197908859E-02 9.5498101505E-01 9.7041624475E-02 2.9923229172E-05 Box BOD Increasing exponential, no constant term 6 1 109 2 149 3 149 5 191 7 213 10 224 2.1380940889E+02 1.2354515176E+01 5.4723748542E-01 1.0455993237E-01 1.7088072423E+01 Misra 1a Increasing exponential, no constant term 14 77.6 10.07 114.9 14.73 141.1 17.94 190.8 23.93 239.9 29.61 289 35.18 332.8 40.02 378.4 44.82 434.8 50.76 477.3 55.05 536.8 61.01 593.1 66.4 689.1 75.47 760 81.78 2.3894212918E+02 2.7070075241E+00 5.5015643181E-04 7.2668688436E-06 1.0187876330E-01 Daniel-Wood Power 6 1.309 2.138 1.471 3.421 1.49 3.597 1.565 4.34 1.611 4.882 1.68 5.66 7.6886226176E-01 1.8281973860E-02 3.8604055871E+00 5.1726610913E-02 3.2853114039E-02 Ratkowsky 2 Logistic, no constant term 9 9 8.93 14 10.8 21 18.59 28 22.33 42 39.35 57 56.11 63 61.73 70 64.62 79 67.08 7.2462237576E+01 1.7340283401E+00 6.7359200066E-02 3.4465663377E-03 2.6180768402E+00 8.8295217536E-02 1.1587725499E+00