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0001 NIST/ITL StRD 0002 Dataset Name: Chwirut1 (Chwirut1.dat) 0003 0004 File Format: ASCII 0005 Starting Values (lines 41 to 43) 0006 Certified Values (lines 41 to 48) 0007 Data (lines 61 to 274) 0008 0009 Procedure: Nonlinear Least Squares Regression 0010 0011 Description: These data are the result of a NIST study involving 0012 ultrasonic calibration. The response variable is 0013 ultrasonic response, and the predictor variable is 0014 metal distance. 0015 0016 Reference: Chwirut, D., NIST (197?). 0017 Ultrasonic Reference Block Study. 0018 0019 0020 0021 0022 0023 0024 0025 Data: 1 Response Variable (y = ultrasonic response) 0026 1 Predictor Variable (x = metal distance) 0027 214 Observations 0028 Lower Level of Difficulty 0029 Observed Data 0030 0031 Model: Exponential Class 0032 3 Parameters (b1 to b3) 0033 0034 y = exp[-b1*x]/(b2+b3*x) + e 0035 0036 0037 0038 Starting values Certified Values 0039 0040 Start 1 Start 2 Parameter Standard Deviation 0041 b1 = 0.1 0.15 1.9027818370E-01 2.1938557035E-02 0042 b2 = 0.01 0.008 6.1314004477E-03 3.4500025051E-04 0043 b3 = 0.02 0.010 1.0530908399E-02 7.9281847748E-04 0044 0045 Residual Sum of Squares: 2.3844771393E+03 0046 Residual Standard Deviation: 3.3616721320E+00 0047 Degrees of Freedom: 211 0048 Number of Observations: 214 0049 0050 0051 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x 0061 92.9000E0 0.5000E0 0062 78.7000E0 0.6250E0 0063 64.2000E0 0.7500E0 0064 64.9000E0 0.8750E0 0065 57.1000E0 1.0000E0 0066 43.3000E0 1.2500E0 0067 31.1000E0 1.7500E0 0068 23.6000E0 2.2500E0 0069 31.0500E0 1.7500E0 0070 23.7750E0 2.2500E0 0071 17.7375E0 2.7500E0 0072 13.8000E0 3.2500E0 0073 11.5875E0 3.7500E0 0074 9.4125E0 4.2500E0 0075 7.7250E0 4.7500E0 0076 7.3500E0 5.2500E0 0077 8.0250E0 5.7500E0 0078 90.6000E0 0.5000E0 0079 76.9000E0 0.6250E0 0080 71.6000E0 0.7500E0 0081 63.6000E0 0.8750E0 0082 54.0000E0 1.0000E0 0083 39.2000E0 1.2500E0 0084 29.3000E0 1.7500E0 0085 21.4000E0 2.2500E0 0086 29.1750E0 1.7500E0 0087 22.1250E0 2.2500E0 0088 17.5125E0 2.7500E0 0089 14.2500E0 3.2500E0 0090 9.4500E0 3.7500E0 0091 9.1500E0 4.2500E0 0092 7.9125E0 4.7500E0 0093 8.4750E0 5.2500E0 0094 6.1125E0 5.7500E0 0095 80.0000E0 0.5000E0 0096 79.0000E0 0.6250E0 0097 63.8000E0 0.7500E0 0098 57.2000E0 0.8750E0 0099 53.2000E0 1.0000E0 0100 42.5000E0 1.2500E0 0101 26.8000E0 1.7500E0 0102 20.4000E0 2.2500E0 0103 26.8500E0 1.7500E0 0104 21.0000E0 2.2500E0 0105 16.4625E0 2.7500E0 0106 12.5250E0 3.2500E0 0107 10.5375E0 3.7500E0 0108 8.5875E0 4.2500E0 0109 7.1250E0 4.7500E0 0110 6.1125E0 5.2500E0 0111 5.9625E0 5.7500E0 0112 74.1000E0 0.5000E0 0113 67.3000E0 0.6250E0 0114 60.8000E0 0.7500E0 0115 55.5000E0 0.8750E0 0116 50.3000E0 1.0000E0 0117 41.0000E0 1.2500E0 0118 29.4000E0 1.7500E0 0119 20.4000E0 2.2500E0 0120 29.3625E0 1.7500E0 0121 21.1500E0 2.2500E0 0122 16.7625E0 2.7500E0 0123 13.2000E0 3.2500E0 0124 10.8750E0 3.7500E0 0125 8.1750E0 4.2500E0 0126 7.3500E0 4.7500E0 0127 5.9625E0 5.2500E0 0128 5.6250E0 5.7500E0 0129 81.5000E0 .5000E0 0130 62.4000E0 .7500E0 0131 32.5000E0 1.5000E0 0132 12.4100E0 3.0000E0 0133 13.1200E0 3.0000E0 0134 15.5600E0 3.0000E0 0135 5.6300E0 6.0000E0 0136 78.0000E0 .5000E0 0137 59.9000E0 .7500E0 0138 33.2000E0 1.5000E0 0139 13.8400E0 3.0000E0 0140 12.7500E0 3.0000E0 0141 14.6200E0 3.0000E0 0142 3.9400E0 6.0000E0 0143 76.8000E0 .5000E0 0144 61.0000E0 .7500E0 0145 32.9000E0 1.5000E0 0146 13.8700E0 3.0000E0 0147 11.8100E0 3.0000E0 0148 13.3100E0 3.0000E0 0149 5.4400E0 6.0000E0 0150 78.0000E0 .5000E0 0151 63.5000E0 .7500E0 0152 33.8000E0 1.5000E0 0153 12.5600E0 3.0000E0 0154 5.6300E0 6.0000E0 0155 12.7500E0 3.0000E0 0156 13.1200E0 3.0000E0 0157 5.4400E0 6.0000E0 0158 76.8000E0 .5000E0 0159 60.0000E0 .7500E0 0160 47.8000E0 1.0000E0 0161 32.0000E0 1.5000E0 0162 22.2000E0 2.0000E0 0163 22.5700E0 2.0000E0 0164 18.8200E0 2.5000E0 0165 13.9500E0 3.0000E0 0166 11.2500E0 4.0000E0 0167 9.0000E0 5.0000E0 0168 6.6700E0 6.0000E0 0169 75.8000E0 .5000E0 0170 62.0000E0 .7500E0 0171 48.8000E0 1.0000E0 0172 35.2000E0 1.5000E0 0173 20.0000E0 2.0000E0 0174 20.3200E0 2.0000E0 0175 19.3100E0 2.5000E0 0176 12.7500E0 3.0000E0 0177 10.4200E0 4.0000E0 0178 7.3100E0 5.0000E0 0179 7.4200E0 6.0000E0 0180 70.5000E0 .5000E0 0181 59.5000E0 .7500E0 0182 48.5000E0 1.0000E0 0183 35.8000E0 1.5000E0 0184 21.0000E0 2.0000E0 0185 21.6700E0 2.0000E0 0186 21.0000E0 2.5000E0 0187 15.6400E0 3.0000E0 0188 8.1700E0 4.0000E0 0189 8.5500E0 5.0000E0 0190 10.1200E0 6.0000E0 0191 78.0000E0 .5000E0 0192 66.0000E0 .6250E0 0193 62.0000E0 .7500E0 0194 58.0000E0 .8750E0 0195 47.7000E0 1.0000E0 0196 37.8000E0 1.2500E0 0197 20.2000E0 2.2500E0 0198 21.0700E0 2.2500E0 0199 13.8700E0 2.7500E0 0200 9.6700E0 3.2500E0 0201 7.7600E0 3.7500E0 0202 5.4400E0 4.2500E0 0203 4.8700E0 4.7500E0 0204 4.0100E0 5.2500E0 0205 3.7500E0 5.7500E0 0206 24.1900E0 3.0000E0 0207 25.7600E0 3.0000E0 0208 18.0700E0 3.0000E0 0209 11.8100E0 3.0000E0 0210 12.0700E0 3.0000E0 0211 16.1200E0 3.0000E0 0212 70.8000E0 .5000E0 0213 54.7000E0 .7500E0 0214 48.0000E0 1.0000E0 0215 39.8000E0 1.5000E0 0216 29.8000E0 2.0000E0 0217 23.7000E0 2.5000E0 0218 29.6200E0 2.0000E0 0219 23.8100E0 2.5000E0 0220 17.7000E0 3.0000E0 0221 11.5500E0 4.0000E0 0222 12.0700E0 5.0000E0 0223 8.7400E0 6.0000E0 0224 80.7000E0 .5000E0 0225 61.3000E0 .7500E0 0226 47.5000E0 1.0000E0 0227 29.0000E0 1.5000E0 0228 24.0000E0 2.0000E0 0229 17.7000E0 2.5000E0 0230 24.5600E0 2.0000E0 0231 18.6700E0 2.5000E0 0232 16.2400E0 3.0000E0 0233 8.7400E0 4.0000E0 0234 7.8700E0 5.0000E0 0235 8.5100E0 6.0000E0 0236 66.7000E0 .5000E0 0237 59.2000E0 .7500E0 0238 40.8000E0 1.0000E0 0239 30.7000E0 1.5000E0 0240 25.7000E0 2.0000E0 0241 16.3000E0 2.5000E0 0242 25.9900E0 2.0000E0 0243 16.9500E0 2.5000E0 0244 13.3500E0 3.0000E0 0245 8.6200E0 4.0000E0 0246 7.2000E0 5.0000E0 0247 6.6400E0 6.0000E0 0248 13.6900E0 3.0000E0 0249 81.0000E0 .5000E0 0250 64.5000E0 .7500E0 0251 35.5000E0 1.5000E0 0252 13.3100E0 3.0000E0 0253 4.8700E0 6.0000E0 0254 12.9400E0 3.0000E0 0255 5.0600E0 6.0000E0 0256 15.1900E0 3.0000E0 0257 14.6200E0 3.0000E0 0258 15.6400E0 3.0000E0 0259 25.5000E0 1.7500E0 0260 25.9500E0 1.7500E0 0261 81.7000E0 .5000E0 0262 61.6000E0 .7500E0 0263 29.8000E0 1.7500E0 0264 29.8100E0 1.7500E0 0265 17.1700E0 2.7500E0 0266 10.3900E0 3.7500E0 0267 28.4000E0 1.7500E0 0268 28.6900E0 1.7500E0 0269 81.3000E0 .5000E0 0270 60.9000E0 .7500E0 0271 16.6500E0 2.7500E0 0272 10.0500E0 3.7500E0 0273 28.9000E0 1.7500E0 0274 28.9500E0 1.7500E0