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+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
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+ 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
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+ 19.133E0 612.99E0
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