| NIST/ITL StRD | |
| Dataset Name: Hahn1 (Hahn1.dat) | |
| File Format: ASCII | |
| Starting Values (lines 41 to 47) | |
| Certified Values (lines 41 to 52) | |
| Data (lines 61 to 296) | |
| Procedure: Nonlinear Least Squares Regression | |
| Description: These data are the result of a NIST study involving | |
| the thermal expansion of copper. The response | |
| variable is the coefficient of thermal expansion, and | |
| the predictor variable is temperature in degrees | |
| kelvin. | |
| Reference: Hahn, T., NIST (197?). | |
| Copper Thermal Expansion Study. | |
| Data: 1 Response (y = coefficient of thermal expansion) | |
| 1 Predictor (x = temperature, degrees kelvin) | |
| 236 Observations | |
| Average Level of Difficulty | |
| Observed Data | |
| Model: Rational Class (cubic/cubic) | |
| 7 Parameters (b1 to b7) | |
| y = (b1+b2*x+b3*x**2+b4*x**3) / | |
| (1+b5*x+b6*x**2+b7*x**3) + e | |
| Starting values Certified Values | |
| Start 1 Start 2 Parameter Standard Deviation | |
| b1 = 10 1 1.0776351733E+00 1.7070154742E-01 | |
| b2 = -1 -0.1 -1.2269296921E-01 1.2000289189E-02 | |
| b3 = 0.05 0.005 4.0863750610E-03 2.2508314937E-04 | |
| b4 = -0.00001 -0.000001 -1.4262662514E-06 2.7578037666E-07 | |
| b5 = -0.05 -0.005 -5.7609940901E-03 2.4712888219E-04 | |
| b6 = 0.001 0.0001 2.4053735503E-04 1.0449373768E-05 | |
| b7 = -0.000001 -0.0000001 -1.2314450199E-07 1.3027335327E-08 | |
| Residual Sum of Squares: 1.5324382854E+00 | |
| Residual Standard Deviation: 8.1803852243E-02 | |
| Degrees of Freedom: 229 | |
| Number of Observations: 236 | |
| Data: y x | |
| .591E0 24.41E0 | |
| 1.547E0 34.82E0 | |
| 2.902E0 44.09E0 | |
| 2.894E0 45.07E0 | |
| 4.703E0 54.98E0 | |
| 6.307E0 65.51E0 | |
| 7.03E0 70.53E0 | |
| 7.898E0 75.70E0 | |
| 9.470E0 89.57E0 | |
| 9.484E0 91.14E0 | |
| 10.072E0 96.40E0 | |
| 10.163E0 97.19E0 | |
| 11.615E0 114.26E0 | |
| 12.005E0 120.25E0 | |
| 12.478E0 127.08E0 | |
| 12.982E0 133.55E0 | |
| 12.970E0 133.61E0 | |
| 13.926E0 158.67E0 | |
| 14.452E0 172.74E0 | |
| 14.404E0 171.31E0 | |
| 15.190E0 202.14E0 | |
| 15.550E0 220.55E0 | |
| 15.528E0 221.05E0 | |
| 15.499E0 221.39E0 | |
| 16.131E0 250.99E0 | |
| 16.438E0 268.99E0 | |
| 16.387E0 271.80E0 | |
| 16.549E0 271.97E0 | |
| 16.872E0 321.31E0 | |
| 16.830E0 321.69E0 | |
| 16.926E0 330.14E0 | |
| 16.907E0 333.03E0 | |
| 16.966E0 333.47E0 | |
| 17.060E0 340.77E0 | |
| 17.122E0 345.65E0 | |
| 17.311E0 373.11E0 | |
| 17.355E0 373.79E0 | |
| 17.668E0 411.82E0 | |
| 17.767E0 419.51E0 | |
| 17.803E0 421.59E0 | |
| 17.765E0 422.02E0 | |
| 17.768E0 422.47E0 | |
| 17.736E0 422.61E0 | |
| 17.858E0 441.75E0 | |
| 17.877E0 447.41E0 | |
| 17.912E0 448.7E0 | |
| 18.046E0 472.89E0 | |
| 18.085E0 476.69E0 | |
| 18.291E0 522.47E0 | |
| 18.357E0 522.62E0 | |
| 18.426E0 524.43E0 | |
| 18.584E0 546.75E0 | |
| 18.610E0 549.53E0 | |
| 18.870E0 575.29E0 | |
| 18.795E0 576.00E0 | |
| 19.111E0 625.55E0 | |
| .367E0 20.15E0 | |
| .796E0 28.78E0 | |
| 0.892E0 29.57E0 | |
| 1.903E0 37.41E0 | |
| 2.150E0 39.12E0 | |
| 3.697E0 50.24E0 | |
| 5.870E0 61.38E0 | |
| 6.421E0 66.25E0 | |
| 7.422E0 73.42E0 | |
| 9.944E0 95.52E0 | |
| 11.023E0 107.32E0 | |
| 11.87E0 122.04E0 | |
| 12.786E0 134.03E0 | |
| 14.067E0 163.19E0 | |
| 13.974E0 163.48E0 | |
| 14.462E0 175.70E0 | |
| 14.464E0 179.86E0 | |
| 15.381E0 211.27E0 | |
| 15.483E0 217.78E0 | |
| 15.59E0 219.14E0 | |
| 16.075E0 262.52E0 | |
| 16.347E0 268.01E0 | |
| 16.181E0 268.62E0 | |
| 16.915E0 336.25E0 | |
| 17.003E0 337.23E0 | |
| 16.978E0 339.33E0 | |
| 17.756E0 427.38E0 | |
| 17.808E0 428.58E0 | |
| 17.868E0 432.68E0 | |
| 18.481E0 528.99E0 | |
| 18.486E0 531.08E0 | |
| 19.090E0 628.34E0 | |
| 16.062E0 253.24E0 | |
| 16.337E0 273.13E0 | |
| 16.345E0 273.66E0 | |
| 16.388E0 282.10E0 | |
| 17.159E0 346.62E0 | |
| 17.116E0 347.19E0 | |
| 17.164E0 348.78E0 | |
| 17.123E0 351.18E0 | |
| 17.979E0 450.10E0 | |
| 17.974E0 450.35E0 | |
| 18.007E0 451.92E0 | |
| 17.993E0 455.56E0 | |
| 18.523E0 552.22E0 | |
| 18.669E0 553.56E0 | |
| 18.617E0 555.74E0 | |
| 19.371E0 652.59E0 | |
| 19.330E0 656.20E0 | |
| 0.080E0 14.13E0 | |
| 0.248E0 20.41E0 | |
| 1.089E0 31.30E0 | |
| 1.418E0 33.84E0 | |
| 2.278E0 39.70E0 | |
| 3.624E0 48.83E0 | |
| 4.574E0 54.50E0 | |
| 5.556E0 60.41E0 | |
| 7.267E0 72.77E0 | |
| 7.695E0 75.25E0 | |
| 9.136E0 86.84E0 | |
| 9.959E0 94.88E0 | |
| 9.957E0 96.40E0 | |
| 11.600E0 117.37E0 | |
| 13.138E0 139.08E0 | |
| 13.564E0 147.73E0 | |
| 13.871E0 158.63E0 | |
| 13.994E0 161.84E0 | |
| 14.947E0 192.11E0 | |
| 15.473E0 206.76E0 | |
| 15.379E0 209.07E0 | |
| 15.455E0 213.32E0 | |
| 15.908E0 226.44E0 | |
| 16.114E0 237.12E0 | |
| 17.071E0 330.90E0 | |
| 17.135E0 358.72E0 | |
| 17.282E0 370.77E0 | |
| 17.368E0 372.72E0 | |
| 17.483E0 396.24E0 | |
| 17.764E0 416.59E0 | |
| 18.185E0 484.02E0 | |
| 18.271E0 495.47E0 | |
| 18.236E0 514.78E0 | |
| 18.237E0 515.65E0 | |
| 18.523E0 519.47E0 | |
| 18.627E0 544.47E0 | |
| 18.665E0 560.11E0 | |
| 19.086E0 620.77E0 | |
| 0.214E0 18.97E0 | |
| 0.943E0 28.93E0 | |
| 1.429E0 33.91E0 | |
| 2.241E0 40.03E0 | |
| 2.951E0 44.66E0 | |
| 3.782E0 49.87E0 | |
| 4.757E0 55.16E0 | |
| 5.602E0 60.90E0 | |
| 7.169E0 72.08E0 | |
| 8.920E0 85.15E0 | |
| 10.055E0 97.06E0 | |
| 12.035E0 119.63E0 | |
| 12.861E0 133.27E0 | |
| 13.436E0 143.84E0 | |
| 14.167E0 161.91E0 | |
| 14.755E0 180.67E0 | |
| 15.168E0 198.44E0 | |
| 15.651E0 226.86E0 | |
| 15.746E0 229.65E0 | |
| 16.216E0 258.27E0 | |
| 16.445E0 273.77E0 | |
| 16.965E0 339.15E0 | |
| 17.121E0 350.13E0 | |
| 17.206E0 362.75E0 | |
| 17.250E0 371.03E0 | |
| 17.339E0 393.32E0 | |
| 17.793E0 448.53E0 | |
| 18.123E0 473.78E0 | |
| 18.49E0 511.12E0 | |
| 18.566E0 524.70E0 | |
| 18.645E0 548.75E0 | |
| 18.706E0 551.64E0 | |
| 18.924E0 574.02E0 | |
| 19.1E0 623.86E0 | |
| 0.375E0 21.46E0 | |
| 0.471E0 24.33E0 | |
| 1.504E0 33.43E0 | |
| 2.204E0 39.22E0 | |
| 2.813E0 44.18E0 | |
| 4.765E0 55.02E0 | |
| 9.835E0 94.33E0 | |
| 10.040E0 96.44E0 | |
| 11.946E0 118.82E0 | |
| 12.596E0 128.48E0 | |
| 13.303E0 141.94E0 | |
| 13.922E0 156.92E0 | |
| 14.440E0 171.65E0 | |
| 14.951E0 190.00E0 | |
| 15.627E0 223.26E0 | |
| 15.639E0 223.88E0 | |
| 15.814E0 231.50E0 | |
| 16.315E0 265.05E0 | |
| 16.334E0 269.44E0 | |
| 16.430E0 271.78E0 | |
| 16.423E0 273.46E0 | |
| 17.024E0 334.61E0 | |
| 17.009E0 339.79E0 | |
| 17.165E0 349.52E0 | |
| 17.134E0 358.18E0 | |
| 17.349E0 377.98E0 | |
| 17.576E0 394.77E0 | |
| 17.848E0 429.66E0 | |
| 18.090E0 468.22E0 | |
| 18.276E0 487.27E0 | |
| 18.404E0 519.54E0 | |
| 18.519E0 523.03E0 | |
| 19.133E0 612.99E0 | |
| 19.074E0 638.59E0 | |
| 19.239E0 641.36E0 | |
| 19.280E0 622.05E0 | |
| 19.101E0 631.50E0 | |
| 19.398E0 663.97E0 | |
| 19.252E0 646.9E0 | |
| 19.89E0 748.29E0 | |
| 20.007E0 749.21E0 | |
| 19.929E0 750.14E0 | |
| 19.268E0 647.04E0 | |
| 19.324E0 646.89E0 | |
| 20.049E0 746.9E0 | |
| 20.107E0 748.43E0 | |
| 20.062E0 747.35E0 | |
| 20.065E0 749.27E0 | |
| 19.286E0 647.61E0 | |
| 19.972E0 747.78E0 | |
| 20.088E0 750.51E0 | |
| 20.743E0 851.37E0 | |
| 20.83E0 845.97E0 | |
| 20.935E0 847.54E0 | |
| 21.035E0 849.93E0 | |
| 20.93E0 851.61E0 | |
| 21.074E0 849.75E0 | |
| 21.085E0 850.98E0 | |
| 20.935E0 848.23E0 |