1 NIST/ITL StRD 2 Dataset Name: Chwirut1 (Chwirut1.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 274) 8 9 Procedure: Nonlinear Least Squares Regression 10 11 Description: These data are the result of a NIST study involving 12 ultrasonic calibration. The response variable is 13 ultrasonic response, and the predictor variable is 14 metal distance. 15 16 Reference: Chwirut, D., NIST (197?). 17 Ultrasonic Reference Block Study. 18 19 20 21 22 23 24 25 Data: 1 Response Variable (y = ultrasonic response) 26 1 Predictor Variable (x = metal distance) 27 214 Observations 28 Lower Level of Difficulty 29 Observed Data 30 31 Model: Exponential Class 32 3 Parameters (b1 to b3) 33 34 y = exp[-b1*x]/(b2+b3*x) + e 35 36 37 38 Starting values Certified Values 39 40 Start 1 Start 2 Parameter Standard Deviation 41 b1 = 0.1 0.15 1.9027818370E-01 2.1938557035E-02 42 b2 = 0.01 0.008 6.1314004477E-03 3.4500025051E-04 43 b3 = 0.02 0.010 1.0530908399E-02 7.9281847748E-04 44 45 Residual Sum of Squares: 2.3844771393E+03 46 Residual Standard Deviation: 3.3616721320E+00 47 Degrees of Freedom: 211 48 Number of Observations: 214 49 50 51 52 53 54 55 56 57 58 59 60 Data: y x 61 92.9000E0 0.5000E0 62 78.7000E0 0.6250E0 63 64.2000E0 0.7500E0 64 64.9000E0 0.8750E0 65 57.1000E0 1.0000E0 66 43.3000E0 1.2500E0 67 31.1000E0 1.7500E0 68 23.6000E0 2.2500E0 69 31.0500E0 1.7500E0 70 23.7750E0 2.2500E0 71 17.7375E0 2.7500E0 72 13.8000E0 3.2500E0 73 11.5875E0 3.7500E0 74 9.4125E0 4.2500E0 75 7.7250E0 4.7500E0 76 7.3500E0 5.2500E0 77 8.0250E0 5.7500E0 78 90.6000E0 0.5000E0 79 76.9000E0 0.6250E0 80 71.6000E0 0.7500E0 81 63.6000E0 0.8750E0 82 54.0000E0 1.0000E0 83 39.2000E0 1.2500E0 84 29.3000E0 1.7500E0 85 21.4000E0 2.2500E0 86 29.1750E0 1.7500E0 87 22.1250E0 2.2500E0 88 17.5125E0 2.7500E0 89 14.2500E0 3.2500E0 90 9.4500E0 3.7500E0 91 9.1500E0 4.2500E0 92 7.9125E0 4.7500E0 93 8.4750E0 5.2500E0 94 6.1125E0 5.7500E0 95 80.0000E0 0.5000E0 96 79.0000E0 0.6250E0 97 63.8000E0 0.7500E0 98 57.2000E0 0.8750E0 99 53.2000E0 1.0000E0 100 42.5000E0 1.2500E0 101 26.8000E0 1.7500E0 102 20.4000E0 2.2500E0 103 26.8500E0 1.7500E0 104 21.0000E0 2.2500E0 105 16.4625E0 2.7500E0 106 12.5250E0 3.2500E0 107 10.5375E0 3.7500E0 108 8.5875E0 4.2500E0 109 7.1250E0 4.7500E0 110 6.1125E0 5.2500E0 111 5.9625E0 5.7500E0 112 74.1000E0 0.5000E0 113 67.3000E0 0.6250E0 114 60.8000E0 0.7500E0 115 55.5000E0 0.8750E0 116 50.3000E0 1.0000E0 117 41.0000E0 1.2500E0 118 29.4000E0 1.7500E0 119 20.4000E0 2.2500E0 120 29.3625E0 1.7500E0 121 21.1500E0 2.2500E0 122 16.7625E0 2.7500E0 123 13.2000E0 3.2500E0 124 10.8750E0 3.7500E0 125 8.1750E0 4.2500E0 126 7.3500E0 4.7500E0 127 5.9625E0 5.2500E0 128 5.6250E0 5.7500E0 129 81.5000E0 .5000E0 130 62.4000E0 .7500E0 131 32.5000E0 1.5000E0 132 12.4100E0 3.0000E0 133 13.1200E0 3.0000E0 134 15.5600E0 3.0000E0 135 5.6300E0 6.0000E0 136 78.0000E0 .5000E0 137 59.9000E0 .7500E0 138 33.2000E0 1.5000E0 139 13.8400E0 3.0000E0 140 12.7500E0 3.0000E0 141 14.6200E0 3.0000E0 142 3.9400E0 6.0000E0 143 76.8000E0 .5000E0 144 61.0000E0 .7500E0 145 32.9000E0 1.5000E0 146 13.8700E0 3.0000E0 147 11.8100E0 3.0000E0 148 13.3100E0 3.0000E0 149 5.4400E0 6.0000E0 150 78.0000E0 .5000E0 151 63.5000E0 .7500E0 152 33.8000E0 1.5000E0 153 12.5600E0 3.0000E0 154 5.6300E0 6.0000E0 155 12.7500E0 3.0000E0 156 13.1200E0 3.0000E0 157 5.4400E0 6.0000E0 158 76.8000E0 .5000E0 159 60.0000E0 .7500E0 160 47.8000E0 1.0000E0 161 32.0000E0 1.5000E0 162 22.2000E0 2.0000E0 163 22.5700E0 2.0000E0 164 18.8200E0 2.5000E0 165 13.9500E0 3.0000E0 166 11.2500E0 4.0000E0 167 9.0000E0 5.0000E0 168 6.6700E0 6.0000E0 169 75.8000E0 .5000E0 170 62.0000E0 .7500E0 171 48.8000E0 1.0000E0 172 35.2000E0 1.5000E0 173 20.0000E0 2.0000E0 174 20.3200E0 2.0000E0 175 19.3100E0 2.5000E0 176 12.7500E0 3.0000E0 177 10.4200E0 4.0000E0 178 7.3100E0 5.0000E0 179 7.4200E0 6.0000E0 180 70.5000E0 .5000E0 181 59.5000E0 .7500E0 182 48.5000E0 1.0000E0 183 35.8000E0 1.5000E0 184 21.0000E0 2.0000E0 185 21.6700E0 2.0000E0 186 21.0000E0 2.5000E0 187 15.6400E0 3.0000E0 188 8.1700E0 4.0000E0 189 8.5500E0 5.0000E0 190 10.1200E0 6.0000E0 191 78.0000E0 .5000E0 192 66.0000E0 .6250E0 193 62.0000E0 .7500E0 194 58.0000E0 .8750E0 195 47.7000E0 1.0000E0 196 37.8000E0 1.2500E0 197 20.2000E0 2.2500E0 198 21.0700E0 2.2500E0 199 13.8700E0 2.7500E0 200 9.6700E0 3.2500E0 201 7.7600E0 3.7500E0 202 5.4400E0 4.2500E0 203 4.8700E0 4.7500E0 204 4.0100E0 5.2500E0 205 3.7500E0 5.7500E0 206 24.1900E0 3.0000E0 207 25.7600E0 3.0000E0 208 18.0700E0 3.0000E0 209 11.8100E0 3.0000E0 210 12.0700E0 3.0000E0 211 16.1200E0 3.0000E0 212 70.8000E0 .5000E0 213 54.7000E0 .7500E0 214 48.0000E0 1.0000E0 215 39.8000E0 1.5000E0 216 29.8000E0 2.0000E0 217 23.7000E0 2.5000E0 218 29.6200E0 2.0000E0 219 23.8100E0 2.5000E0 220 17.7000E0 3.0000E0 221 11.5500E0 4.0000E0 222 12.0700E0 5.0000E0 223 8.7400E0 6.0000E0 224 80.7000E0 .5000E0 225 61.3000E0 .7500E0 226 47.5000E0 1.0000E0 227 29.0000E0 1.5000E0 228 24.0000E0 2.0000E0 229 17.7000E0 2.5000E0 230 24.5600E0 2.0000E0 231 18.6700E0 2.5000E0 232 16.2400E0 3.0000E0 233 8.7400E0 4.0000E0 234 7.8700E0 5.0000E0 235 8.5100E0 6.0000E0 236 66.7000E0 .5000E0 237 59.2000E0 .7500E0 238 40.8000E0 1.0000E0 239 30.7000E0 1.5000E0 240 25.7000E0 2.0000E0 241 16.3000E0 2.5000E0 242 25.9900E0 2.0000E0 243 16.9500E0 2.5000E0 244 13.3500E0 3.0000E0 245 8.6200E0 4.0000E0 246 7.2000E0 5.0000E0 247 6.6400E0 6.0000E0 248 13.6900E0 3.0000E0 249 81.0000E0 .5000E0 250 64.5000E0 .7500E0 251 35.5000E0 1.5000E0 252 13.3100E0 3.0000E0 253 4.8700E0 6.0000E0 254 12.9400E0 3.0000E0 255 5.0600E0 6.0000E0 256 15.1900E0 3.0000E0 257 14.6200E0 3.0000E0 258 15.6400E0 3.0000E0 259 25.5000E0 1.7500E0 260 25.9500E0 1.7500E0 261 81.7000E0 .5000E0 262 61.6000E0 .7500E0 263 29.8000E0 1.7500E0 264 29.8100E0 1.7500E0 265 17.1700E0 2.7500E0 266 10.3900E0 3.7500E0 267 28.4000E0 1.7500E0 268 28.6900E0 1.7500E0 269 81.3000E0 .5000E0 270 60.9000E0 .7500E0 271 16.6500E0 2.7500E0 272 10.0500E0 3.7500E0 273 28.9000E0 1.7500E0 274 28.9500E0 1.7500E0 275
