1 NIST/ITL StRD 2 Dataset Name: Bennett5 (Bennett5.dat) 3 4 File Format: ASCII 5 Starting Values (lines 41 to 43) 6 Certified Values (lines 41 to 48) 7 Data (lines 61 to 214) 8 9 Procedure: Nonlinear Least Squares Regression 10 11 Description: These data are the result of a NIST study involving 12 superconductivity magnetization modeling. The 13 response variable is magnetism, and the predictor 14 variable is the log of time in minutes. 15 16 Reference: Bennett, L., L. Swartzendruber, and H. Brown, 17 NIST (1994). 18 Superconductivity Magnetization Modeling. 19 20 21 22 23 24 25 Data: 1 Response Variable (y = magnetism) 26 1 Predictor Variable (x = log[time]) 27 154 Observations 28 Higher Level of Difficulty 29 Observed Data 30 31 Model: Miscellaneous Class 32 3 Parameters (b1 to b3) 33 34 y = b1 * (b2+x)**(-1/b3) + e 35 36 37 38 Starting values Certified Values 39 40 Start 1 Start 2 Parameter Standard Deviation 41 b1 = -2000 -1500 -2.5235058043E+03 2.9715175411E+02 42 b2 = 50 45 4.6736564644E+01 1.2448871856E+00 43 b3 = 0.8 0.85 9.3218483193E-01 2.0272299378E-02 44 45 Residual Sum of Squares: 5.2404744073E-04 46 Residual Standard Deviation: 1.8629312528E-03 47 Degrees of Freedom: 151 48 Number of Observations: 154 49 50 51 52 53 54 55 56 57 58 59 60 Data: y x 61 -34.834702E0 7.447168E0 62 -34.393200E0 8.102586E0 63 -34.152901E0 8.452547E0 64 -33.979099E0 8.711278E0 65 -33.845901E0 8.916774E0 66 -33.732899E0 9.087155E0 67 -33.640301E0 9.232590E0 68 -33.559200E0 9.359535E0 69 -33.486801E0 9.472166E0 70 -33.423100E0 9.573384E0 71 -33.365101E0 9.665293E0 72 -33.313000E0 9.749461E0 73 -33.260899E0 9.827092E0 74 -33.217400E0 9.899128E0 75 -33.176899E0 9.966321E0 76 -33.139198E0 10.029280E0 77 -33.101601E0 10.088510E0 78 -33.066799E0 10.144430E0 79 -33.035000E0 10.197380E0 80 -33.003101E0 10.247670E0 81 -32.971298E0 10.295560E0 82 -32.942299E0 10.341250E0 83 -32.916302E0 10.384950E0 84 -32.890202E0 10.426820E0 85 -32.864101E0 10.467000E0 86 -32.841000E0 10.505640E0 87 -32.817799E0 10.542830E0 88 -32.797501E0 10.578690E0 89 -32.774300E0 10.613310E0 90 -32.757000E0 10.646780E0 91 -32.733799E0 10.679150E0 92 -32.716400E0 10.710520E0 93 -32.699100E0 10.740920E0 94 -32.678799E0 10.770440E0 95 -32.661400E0 10.799100E0 96 -32.644001E0 10.826970E0 97 -32.626701E0 10.854080E0 98 -32.612202E0 10.880470E0 99 -32.597698E0 10.906190E0 100 -32.583199E0 10.931260E0 101 -32.568699E0 10.955720E0 102 -32.554298E0 10.979590E0 103 -32.539799E0 11.002910E0 104 -32.525299E0 11.025700E0 105 -32.510799E0 11.047980E0 106 -32.499199E0 11.069770E0 107 -32.487598E0 11.091100E0 108 -32.473202E0 11.111980E0 109 -32.461601E0 11.132440E0 110 -32.435501E0 11.152480E0 111 -32.435501E0 11.172130E0 112 -32.426800E0 11.191410E0 113 -32.412300E0 11.210310E0 114 -32.400799E0 11.228870E0 115 -32.392101E0 11.247090E0 116 -32.380501E0 11.264980E0 117 -32.366001E0 11.282560E0 118 -32.357300E0 11.299840E0 119 -32.348598E0 11.316820E0 120 -32.339901E0 11.333520E0 121 -32.328400E0 11.349940E0 122 -32.319698E0 11.366100E0 123 -32.311001E0 11.382000E0 124 -32.299400E0 11.397660E0 125 -32.290699E0 11.413070E0 126 -32.282001E0 11.428240E0 127 -32.273300E0 11.443200E0 128 -32.264599E0 11.457930E0 129 -32.256001E0 11.472440E0 130 -32.247299E0 11.486750E0 131 -32.238602E0 11.500860E0 132 -32.229900E0 11.514770E0 133 -32.224098E0 11.528490E0 134 -32.215401E0 11.542020E0 135 -32.203800E0 11.555380E0 136 -32.198002E0 11.568550E0 137 -32.189400E0 11.581560E0 138 -32.183601E0 11.594420E0 139 -32.174900E0 11.607121E0 140 -32.169102E0 11.619640E0 141 -32.163300E0 11.632000E0 142 -32.154598E0 11.644210E0 143 -32.145901E0 11.656280E0 144 -32.140099E0 11.668200E0 145 -32.131401E0 11.679980E0 146 -32.125599E0 11.691620E0 147 -32.119801E0 11.703130E0 148 -32.111198E0 11.714510E0 149 -32.105400E0 11.725760E0 150 -32.096699E0 11.736880E0 151 -32.090900E0 11.747890E0 152 -32.088001E0 11.758780E0 153 -32.079300E0 11.769550E0 154 -32.073502E0 11.780200E0 155 -32.067699E0 11.790730E0 156 -32.061901E0 11.801160E0 157 -32.056099E0 11.811480E0 158 -32.050301E0 11.821700E0 159 -32.044498E0 11.831810E0 160 -32.038799E0 11.841820E0 161 -32.033001E0 11.851730E0 162 -32.027199E0 11.861550E0 163 -32.024300E0 11.871270E0 164 -32.018501E0 11.880890E0 165 -32.012699E0 11.890420E0 166 -32.004002E0 11.899870E0 167 -32.001099E0 11.909220E0 168 -31.995300E0 11.918490E0 169 -31.989500E0 11.927680E0 170 -31.983700E0 11.936780E0 171 -31.977900E0 11.945790E0 172 -31.972099E0 11.954730E0 173 -31.969299E0 11.963590E0 174 -31.963501E0 11.972370E0 175 -31.957701E0 11.981070E0 176 -31.951900E0 11.989700E0 177 -31.946100E0 11.998260E0 178 -31.940300E0 12.006740E0 179 -31.937401E0 12.015150E0 180 -31.931601E0 12.023490E0 181 -31.925800E0 12.031760E0 182 -31.922899E0 12.039970E0 183 -31.917101E0 12.048100E0 184 -31.911301E0 12.056170E0 185 -31.908400E0 12.064180E0 186 -31.902599E0 12.072120E0 187 -31.896900E0 12.080010E0 188 -31.893999E0 12.087820E0 189 -31.888201E0 12.095580E0 190 -31.885300E0 12.103280E0 191 -31.882401E0 12.110920E0 192 -31.876600E0 12.118500E0 193 -31.873699E0 12.126030E0 194 -31.867901E0 12.133500E0 195 -31.862101E0 12.140910E0 196 -31.859200E0 12.148270E0 197 -31.856300E0 12.155570E0 198 -31.850500E0 12.162830E0 199 -31.844700E0 12.170030E0 200 -31.841801E0 12.177170E0 201 -31.838900E0 12.184270E0 202 -31.833099E0 12.191320E0 203 -31.830200E0 12.198320E0 204 -31.827299E0 12.205270E0 205 -31.821600E0 12.212170E0 206 -31.818701E0 12.219030E0 207 -31.812901E0 12.225840E0 208 -31.809999E0 12.232600E0 209 -31.807100E0 12.239320E0 210 -31.801300E0 12.245990E0 211 -31.798401E0 12.252620E0 212 -31.795500E0 12.259200E0 213 -31.789700E0 12.265750E0 214 -31.786800E0 12.272240E0 215
