NIST/ITL StRD | |
Dataset Name: Thurber (Thurber.dat) | |
File Format: ASCII | |
Starting Values (lines 41 to 47) | |
Certified Values (lines 41 to 52) | |
Data (lines 61 to 97) | |
Procedure: Nonlinear Least Squares Regression | |
Description: These data are the result of a NIST study involving | |
semiconductor electron mobility. The response | |
variable is a measure of electron mobility, and the | |
predictor variable is the natural log of the density. | |
Reference: Thurber, R., NIST (197?). | |
Semiconductor electron mobility modeling. | |
Data: 1 Response Variable (y = electron mobility) | |
1 Predictor Variable (x = log[density]) | |
37 Observations | |
Higher 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 = 1000 1300 1.2881396800E+03 4.6647963344E+00 | |
b2 = 1000 1500 1.4910792535E+03 3.9571156086E+01 | |
b3 = 400 500 5.8323836877E+02 2.8698696102E+01 | |
b4 = 40 75 7.5416644291E+01 5.5675370270E+00 | |
b5 = 0.7 1 9.6629502864E-01 3.1333340687E-02 | |
b6 = 0.3 0.4 3.9797285797E-01 1.4984928198E-02 | |
b7 = 0.03 0.05 4.9727297349E-02 6.5842344623E-03 | |
Residual Sum of Squares: 5.6427082397E+03 | |
Residual Standard Deviation: 1.3714600784E+01 | |
Degrees of Freedom: 30 | |
Number of Observations: 37 | |
Data: y x | |
80.574E0 -3.067E0 | |
84.248E0 -2.981E0 | |
87.264E0 -2.921E0 | |
87.195E0 -2.912E0 | |
89.076E0 -2.840E0 | |
89.608E0 -2.797E0 | |
89.868E0 -2.702E0 | |
90.101E0 -2.699E0 | |
92.405E0 -2.633E0 | |
95.854E0 -2.481E0 | |
100.696E0 -2.363E0 | |
101.060E0 -2.322E0 | |
401.672E0 -1.501E0 | |
390.724E0 -1.460E0 | |
567.534E0 -1.274E0 | |
635.316E0 -1.212E0 | |
733.054E0 -1.100E0 | |
759.087E0 -1.046E0 | |
894.206E0 -0.915E0 | |
990.785E0 -0.714E0 | |
1090.109E0 -0.566E0 | |
1080.914E0 -0.545E0 | |
1122.643E0 -0.400E0 | |
1178.351E0 -0.309E0 | |
1260.531E0 -0.109E0 | |
1273.514E0 -0.103E0 | |
1288.339E0 0.010E0 | |
1327.543E0 0.119E0 | |
1353.863E0 0.377E0 | |
1414.509E0 0.790E0 | |
1425.208E0 0.963E0 | |
1421.384E0 1.006E0 | |
1442.962E0 1.115E0 | |
1464.350E0 1.572E0 | |
1468.705E0 1.841E0 | |
1447.894E0 2.047E0 | |
1457.628E0 2.200E0 |