NIST/ITL StRD

Dataset Name:  Bennett5          (Bennett5.dat)

File Format:   ASCII

               Starting Values   (lines 41 to  43)

               Certified Values  (lines 41 to  48)

               Data              (lines 61 to 214)

Procedure:     Nonlinear Least Squares Regression

Description:   These data are the result of a NIST study involving

               superconductivity magnetization modeling.  The

               response variable is magnetism, and the predictor

               variable is the log of time in minutes.

Reference:     Bennett, L., L. Swartzendruber, and H. Brown, 

               NIST (1994).  

               Superconductivity Magnetization Modeling.

Data:          1 Response Variable  (y = magnetism)

               1 Predictor Variable (x = log[time])

               154 Observations

               Higher Level of Difficulty

               Observed Data

Model:         Miscellaneous Class

               3 Parameters (b1 to b3)

               y = b1 * (b2+x)**(-1/b3)  +  e

          Starting values                  Certified Values

        Start 1     Start 2           Parameter     Standard Deviation

  b1 =   -2000       -1500        -2.5235058043E+03  2.9715175411E+02

  b2 =      50          45         4.6736564644E+01  1.2448871856E+00

  b3 =       0.8         0.85      9.3218483193E-01  2.0272299378E-02

Residual Sum of Squares:                    5.2404744073E-04

Residual Standard Deviation:                1.8629312528E-03

Degrees of Freedom:                               151

Number of Observations:                           154

Data:   y               x

     -34.834702E0      7.447168E0

     -34.393200E0      8.102586E0

     -34.152901E0      8.452547E0

     -33.979099E0      8.711278E0

     -33.845901E0      8.916774E0

     -33.732899E0      9.087155E0

     -33.640301E0      9.232590E0

     -33.559200E0      9.359535E0

     -33.486801E0      9.472166E0

     -33.423100E0      9.573384E0

     -33.365101E0      9.665293E0

     -33.313000E0      9.749461E0

     -33.260899E0      9.827092E0

     -33.217400E0      9.899128E0

     -33.176899E0      9.966321E0

     -33.139198E0     10.029280E0

     -33.101601E0     10.088510E0

     -33.066799E0     10.144430E0

     -33.035000E0     10.197380E0

     -33.003101E0     10.247670E0

     -32.971298E0     10.295560E0

     -32.942299E0     10.341250E0

     -32.916302E0     10.384950E0

     -32.890202E0     10.426820E0

     -32.864101E0     10.467000E0

     -32.841000E0     10.505640E0

     -32.817799E0     10.542830E0

     -32.797501E0     10.578690E0

     -32.774300E0     10.613310E0

     -32.757000E0     10.646780E0

     -32.733799E0     10.679150E0

     -32.716400E0     10.710520E0

     -32.699100E0     10.740920E0

     -32.678799E0     10.770440E0

     -32.661400E0     10.799100E0

     -32.644001E0     10.826970E0

     -32.626701E0     10.854080E0

     -32.612202E0     10.880470E0

     -32.597698E0     10.906190E0

     -32.583199E0     10.931260E0

     -32.568699E0     10.955720E0

     -32.554298E0     10.979590E0

     -32.539799E0     11.002910E0

     -32.525299E0     11.025700E0

     -32.510799E0     11.047980E0

     -32.499199E0     11.069770E0

     -32.487598E0     11.091100E0

     -32.473202E0     11.111980E0

     -32.461601E0     11.132440E0

     -32.435501E0     11.152480E0

     -32.435501E0     11.172130E0

     -32.426800E0     11.191410E0

     -32.412300E0     11.210310E0

     -32.400799E0     11.228870E0

     -32.392101E0     11.247090E0

     -32.380501E0     11.264980E0

     -32.366001E0     11.282560E0

     -32.357300E0     11.299840E0

     -32.348598E0     11.316820E0

     -32.339901E0     11.333520E0

     -32.328400E0     11.349940E0

     -32.319698E0     11.366100E0

     -32.311001E0     11.382000E0

     -32.299400E0     11.397660E0

     -32.290699E0     11.413070E0

     -32.282001E0     11.428240E0

     -32.273300E0     11.443200E0

     -32.264599E0     11.457930E0

     -32.256001E0     11.472440E0

     -32.247299E0     11.486750E0

     -32.238602E0     11.500860E0

     -32.229900E0     11.514770E0

     -32.224098E0     11.528490E0

     -32.215401E0     11.542020E0

     -32.203800E0     11.555380E0

     -32.198002E0     11.568550E0

     -32.189400E0     11.581560E0

     -32.183601E0     11.594420E0

     -32.174900E0     11.607121E0

     -32.169102E0     11.619640E0

     -32.163300E0     11.632000E0

     -32.154598E0     11.644210E0

     -32.145901E0     11.656280E0

     -32.140099E0     11.668200E0

     -32.131401E0     11.679980E0

     -32.125599E0     11.691620E0

     -32.119801E0     11.703130E0

     -32.111198E0     11.714510E0

     -32.105400E0     11.725760E0

     -32.096699E0     11.736880E0

     -32.090900E0     11.747890E0

     -32.088001E0     11.758780E0

     -32.079300E0     11.769550E0

     -32.073502E0     11.780200E0

     -32.067699E0     11.790730E0

     -32.061901E0     11.801160E0

     -32.056099E0     11.811480E0

     -32.050301E0     11.821700E0

     -32.044498E0     11.831810E0

     -32.038799E0     11.841820E0

     -32.033001E0     11.851730E0

     -32.027199E0     11.861550E0

     -32.024300E0     11.871270E0

     -32.018501E0     11.880890E0

     -32.012699E0     11.890420E0

     -32.004002E0     11.899870E0

     -32.001099E0     11.909220E0

     -31.995300E0     11.918490E0

     -31.989500E0     11.927680E0

     -31.983700E0     11.936780E0

     -31.977900E0     11.945790E0

     -31.972099E0     11.954730E0

     -31.969299E0     11.963590E0

     -31.963501E0     11.972370E0

     -31.957701E0     11.981070E0

     -31.951900E0     11.989700E0

     -31.946100E0     11.998260E0

     -31.940300E0     12.006740E0

     -31.937401E0     12.015150E0

     -31.931601E0     12.023490E0

     -31.925800E0     12.031760E0

     -31.922899E0     12.039970E0

     -31.917101E0     12.048100E0

     -31.911301E0     12.056170E0

     -31.908400E0     12.064180E0

     -31.902599E0     12.072120E0

     -31.896900E0     12.080010E0

     -31.893999E0     12.087820E0

     -31.888201E0     12.095580E0

     -31.885300E0     12.103280E0

     -31.882401E0     12.110920E0

     -31.876600E0     12.118500E0

     -31.873699E0     12.126030E0

     -31.867901E0     12.133500E0

     -31.862101E0     12.140910E0

     -31.859200E0     12.148270E0

     -31.856300E0     12.155570E0

     -31.850500E0     12.162830E0

     -31.844700E0     12.170030E0

     -31.841801E0     12.177170E0

     -31.838900E0     12.184270E0

     -31.833099E0     12.191320E0

     -31.830200E0     12.198320E0

     -31.827299E0     12.205270E0

     -31.821600E0     12.212170E0

     -31.818701E0     12.219030E0

     -31.812901E0     12.225840E0

     -31.809999E0     12.232600E0

     -31.807100E0     12.239320E0

     -31.801300E0     12.245990E0

     -31.798401E0     12.252620E0

     -31.795500E0     12.259200E0

     -31.789700E0     12.265750E0

     -31.786800E0     12.272240E0