| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 1 | NIST/ITL StRD
|
| 2 | Dataset Name: Gauss3 (Gauss3.dat)
|
| 3 |
|
| 4 | File Format: ASCII
|
| 5 | Starting Values (lines 41 to 48)
|
| 6 | Certified Values (lines 41 to 53)
|
| 7 | Data (lines 61 to 310)
|
| 8 |
|
| 9 | Procedure: Nonlinear Least Squares Regression
|
| 10 |
|
| 11 | Description: The data are two strongly-blended Gaussians on a
|
| 12 | decaying exponential baseline plus normally
|
| 13 | distributed zero-mean noise with variance = 6.25.
|
| 14 |
|
| 15 | Reference: Rust, B., NIST (1996).
|
| 16 |
|
| 17 |
|
| 18 |
|
| 19 |
|
| 20 |
|
| 21 |
|
| 22 |
|
| 23 |
|
| 24 |
|
| 25 | Data: 1 Response (y)
|
| 26 | 1 Predictor (x)
|
| 27 | 250 Observations
|
| 28 | Average Level of Difficulty
|
| 29 | Generated Data
|
| 30 |
|
| 31 | Model: Exponential Class
|
| 32 | 8 Parameters (b1 to b8)
|
| 33 |
|
| 34 | y = b1*exp( -b2*x ) + b3*exp( -(x-b4)**2 / b5**2 )
|
| 35 | + b6*exp( -(x-b7)**2 / b8**2 ) + e
|
| 36 |
|
| 37 |
|
| 38 | Starting values Certified Values
|
| 39 |
|
| 40 | Start 1 Start 2 Parameter Standard Deviation
|
| 41 | b1 = 94.9 96.0 9.8940368970E+01 5.3005192833E-01
|
| 42 | b2 = 0.009 0.0096 1.0945879335E-02 1.2554058911E-04
|
| 43 | b3 = 90.1 80.0 1.0069553078E+02 8.1256587317E-01
|
| 44 | b4 = 113.0 110.0 1.1163619459E+02 3.5317859757E-01
|
| 45 | b5 = 20.0 25.0 2.3300500029E+01 3.6584783023E-01
|
| 46 | b6 = 73.8 74.0 7.3705031418E+01 1.2091239082E+00
|
| 47 | b7 = 140.0 139.0 1.4776164251E+02 4.0488183351E-01
|
| 48 | b8 = 20.0 25.0 1.9668221230E+01 3.7806634336E-01
|
| 49 |
|
| 50 | Residual Sum of Squares: 1.2444846360E+03
|
| 51 | Residual Standard Deviation: 2.2677077625E+00
|
| 52 | Degrees of Freedom: 242
|
| 53 | Number of Observations: 250
|
| 54 |
|
| 55 |
|
| 56 |
|
| 57 |
|
| 58 |
|
| 59 |
|
| 60 | Data: y x
|
| 61 | 97.58776 1.000000
|
| 62 | 97.76344 2.000000
|
| 63 | 96.56705 3.000000
|
| 64 | 92.52037 4.000000
|
| 65 | 91.15097 5.000000
|
| 66 | 95.21728 6.000000
|
| 67 | 90.21355 7.000000
|
| 68 | 89.29235 8.000000
|
| 69 | 91.51479 9.000000
|
| 70 | 89.60965 10.000000
|
| 71 | 86.56187 11.00000
|
| 72 | 85.55315 12.00000
|
| 73 | 87.13053 13.00000
|
| 74 | 85.67938 14.00000
|
| 75 | 80.04849 15.00000
|
| 76 | 82.18922 16.00000
|
| 77 | 87.24078 17.00000
|
| 78 | 80.79401 18.00000
|
| 79 | 81.28564 19.00000
|
| 80 | 81.56932 20.00000
|
| 81 | 79.22703 21.00000
|
| 82 | 79.43259 22.00000
|
| 83 | 77.90174 23.00000
|
| 84 | 76.75438 24.00000
|
| 85 | 77.17338 25.00000
|
| 86 | 74.27296 26.00000
|
| 87 | 73.11830 27.00000
|
| 88 | 73.84732 28.00000
|
| 89 | 72.47746 29.00000
|
| 90 | 71.92128 30.00000
|
| 91 | 66.91962 31.00000
|
| 92 | 67.93554 32.00000
|
| 93 | 69.55841 33.00000
|
| 94 | 69.06592 34.00000
|
| 95 | 66.53371 35.00000
|
| 96 | 63.87094 36.00000
|
| 97 | 69.70526 37.00000
|
| 98 | 63.59295 38.00000
|
| 99 | 63.35509 39.00000
|
| 100 | 59.99747 40.00000
|
| 101 | 62.64843 41.00000
|
| 102 | 65.77345 42.00000
|
| 103 | 59.10141 43.00000
|
| 104 | 56.57750 44.00000
|
| 105 | 61.15313 45.00000
|
| 106 | 54.30767 46.00000
|
| 107 | 62.83535 47.00000
|
| 108 | 56.52957 48.00000
|
| 109 | 56.98427 49.00000
|
| 110 | 58.11459 50.00000
|
| 111 | 58.69576 51.00000
|
| 112 | 58.23322 52.00000
|
| 113 | 54.90490 53.00000
|
| 114 | 57.91442 54.00000
|
| 115 | 56.96629 55.00000
|
| 116 | 51.13831 56.00000
|
| 117 | 49.27123 57.00000
|
| 118 | 52.92668 58.00000
|
| 119 | 54.47693 59.00000
|
| 120 | 51.81710 60.00000
|
| 121 | 51.05401 61.00000
|
| 122 | 52.51731 62.00000
|
| 123 | 51.83710 63.00000
|
| 124 | 54.48196 64.00000
|
| 125 | 49.05859 65.00000
|
| 126 | 50.52315 66.00000
|
| 127 | 50.32755 67.00000
|
| 128 | 46.44419 68.00000
|
| 129 | 50.89281 69.00000
|
| 130 | 52.13203 70.00000
|
| 131 | 49.78741 71.00000
|
| 132 | 49.01637 72.00000
|
| 133 | 54.18198 73.00000
|
| 134 | 53.17456 74.00000
|
| 135 | 53.20827 75.00000
|
| 136 | 57.43459 76.00000
|
| 137 | 51.95282 77.00000
|
| 138 | 54.20282 78.00000
|
| 139 | 57.46687 79.00000
|
| 140 | 53.60268 80.00000
|
| 141 | 58.86728 81.00000
|
| 142 | 57.66652 82.00000
|
| 143 | 63.71034 83.00000
|
| 144 | 65.24244 84.00000
|
| 145 | 65.10878 85.00000
|
| 146 | 69.96313 86.00000
|
| 147 | 68.85475 87.00000
|
| 148 | 73.32574 88.00000
|
| 149 | 76.21241 89.00000
|
| 150 | 78.06311 90.00000
|
| 151 | 75.37701 91.00000
|
| 152 | 87.54449 92.00000
|
| 153 | 89.50588 93.00000
|
| 154 | 95.82098 94.00000
|
| 155 | 97.48390 95.00000
|
| 156 | 100.86070 96.00000
|
| 157 | 102.48510 97.00000
|
| 158 | 105.7311 98.00000
|
| 159 | 111.3489 99.00000
|
| 160 | 111.0305 100.00000
|
| 161 | 110.1920 101.00000
|
| 162 | 118.3581 102.00000
|
| 163 | 118.8086 103.00000
|
| 164 | 122.4249 104.00000
|
| 165 | 124.0953 105.00000
|
| 166 | 125.9337 106.0000
|
| 167 | 127.8533 107.0000
|
| 168 | 131.0361 108.0000
|
| 169 | 133.3343 109.0000
|
| 170 | 135.1278 110.0000
|
| 171 | 131.7113 111.0000
|
| 172 | 131.9151 112.0000
|
| 173 | 132.1107 113.0000
|
| 174 | 127.6898 114.0000
|
| 175 | 133.2148 115.0000
|
| 176 | 128.2296 116.0000
|
| 177 | 133.5902 117.0000
|
| 178 | 127.2539 118.0000
|
| 179 | 128.3482 119.0000
|
| 180 | 124.8694 120.0000
|
| 181 | 124.6031 121.0000
|
| 182 | 117.0648 122.0000
|
| 183 | 118.1966 123.0000
|
| 184 | 119.5408 124.0000
|
| 185 | 114.7946 125.0000
|
| 186 | 114.2780 126.0000
|
| 187 | 120.3484 127.0000
|
| 188 | 114.8647 128.0000
|
| 189 | 111.6514 129.0000
|
| 190 | 110.1826 130.0000
|
| 191 | 108.4461 131.0000
|
| 192 | 109.0571 132.0000
|
| 193 | 106.5308 133.0000
|
| 194 | 109.4691 134.0000
|
| 195 | 106.8709 135.0000
|
| 196 | 107.3192 136.0000
|
| 197 | 106.9000 137.0000
|
| 198 | 109.6526 138.0000
|
| 199 | 107.1602 139.0000
|
| 200 | 108.2509 140.0000
|
| 201 | 104.96310 141.0000
|
| 202 | 109.3601 142.0000
|
| 203 | 107.6696 143.0000
|
| 204 | 99.77286 144.0000
|
| 205 | 104.96440 145.0000
|
| 206 | 106.1376 146.0000
|
| 207 | 106.5816 147.0000
|
| 208 | 100.12860 148.0000
|
| 209 | 101.66910 149.0000
|
| 210 | 96.44254 150.0000
|
| 211 | 97.34169 151.0000
|
| 212 | 96.97412 152.0000
|
| 213 | 90.73460 153.0000
|
| 214 | 93.37949 154.0000
|
| 215 | 82.12331 155.0000
|
| 216 | 83.01657 156.0000
|
| 217 | 78.87360 157.0000
|
| 218 | 74.86971 158.0000
|
| 219 | 72.79341 159.0000
|
| 220 | 65.14744 160.0000
|
| 221 | 67.02127 161.0000
|
| 222 | 60.16136 162.0000
|
| 223 | 57.13996 163.0000
|
| 224 | 54.05769 164.0000
|
| 225 | 50.42265 165.0000
|
| 226 | 47.82430 166.0000
|
| 227 | 42.85748 167.0000
|
| 228 | 42.45495 168.0000
|
| 229 | 38.30808 169.0000
|
| 230 | 36.95794 170.0000
|
| 231 | 33.94543 171.0000
|
| 232 | 34.19017 172.0000
|
| 233 | 31.66097 173.0000
|
| 234 | 23.56172 174.0000
|
| 235 | 29.61143 175.0000
|
| 236 | 23.88765 176.0000
|
| 237 | 22.49812 177.0000
|
| 238 | 24.86901 178.0000
|
| 239 | 17.29481 179.0000
|
| 240 | 18.09291 180.0000
|
| 241 | 15.34813 181.0000
|
| 242 | 14.77997 182.0000
|
| 243 | 13.87832 183.0000
|
| 244 | 12.88891 184.0000
|
| 245 | 16.20763 185.0000
|
| 246 | 16.29024 186.0000
|
| 247 | 15.29712 187.0000
|
| 248 | 14.97839 188.0000
|
| 249 | 12.11330 189.0000
|
| 250 | 14.24168 190.0000
|
| 251 | 12.53824 191.0000
|
| 252 | 15.19818 192.0000
|
| 253 | 11.70478 193.0000
|
| 254 | 15.83745 194.0000
|
| 255 | 10.035850 195.0000
|
| 256 | 9.307574 196.0000
|
| 257 | 12.86800 197.0000
|
| 258 | 8.571671 198.0000
|
| 259 | 11.60415 199.0000
|
| 260 | 12.42772 200.0000
|
| 261 | 11.23627 201.0000
|
| 262 | 11.13198 202.0000
|
| 263 | 7.761117 203.0000
|
| 264 | 6.758250 204.0000
|
| 265 | 14.23375 205.0000
|
| 266 | 10.63876 206.0000
|
| 267 | 8.893581 207.0000
|
| 268 | 11.55398 208.0000
|
| 269 | 11.57221 209.0000
|
| 270 | 11.58347 210.0000
|
| 271 | 9.724857 211.0000
|
| 272 | 11.43854 212.0000
|
| 273 | 11.22636 213.0000
|
| 274 | 10.170150 214.0000
|
| 275 | 12.50765 215.0000
|
| 276 | 6.200494 216.0000
|
| 277 | 9.018902 217.0000
|
| 278 | 10.80557 218.0000
|
| 279 | 13.09591 219.0000
|
| 280 | 3.914033 220.0000
|
| 281 | 9.567723 221.0000
|
| 282 | 8.038338 222.0000
|
| 283 | 10.230960 223.0000
|
| 284 | 9.367358 224.0000
|
| 285 | 7.695937 225.0000
|
| 286 | 6.118552 226.0000
|
| 287 | 8.793192 227.0000
|
| 288 | 7.796682 228.0000
|
| 289 | 12.45064 229.0000
|
| 290 | 10.61601 230.0000
|
| 291 | 6.001000 231.0000
|
| 292 | 6.765096 232.0000
|
| 293 | 8.764652 233.0000
|
| 294 | 4.586417 234.0000
|
| 295 | 8.390782 235.0000
|
| 296 | 7.209201 236.0000
|
| 297 | 10.012090 237.0000
|
| 298 | 7.327461 238.0000
|
| 299 | 6.525136 239.0000
|
| 300 | 2.840065 240.0000
|
| 301 | 10.323710 241.0000
|
| 302 | 4.790035 242.0000
|
| 303 | 8.376431 243.0000
|
| 304 | 6.263980 244.0000
|
| 305 | 2.705892 245.0000
|
| 306 | 8.362109 246.0000
|
| 307 | 8.983507 247.0000
|
| 308 | 3.362469 248.0000
|
| 309 | 1.182678 249.0000
|
| 310 | 4.875312 250.0000
|
