env/ceres-solver/data/nist/Chwirut1.dat

NIST/ITL StRD
Dataset Name:  Chwirut1          (Chwirut1.dat)

File Format:   ASCII
               Starting Values   (lines 41 to  43)
               Certified Values  (lines 41 to  48)
               Data              (lines 61 to 274)

Procedure:     Nonlinear Least Squares Regression

Description:   These data are the result of a NIST study involving
               ultrasonic calibration.  The response variable is
               ultrasonic response, and the predictor variable is
               metal distance.

Reference:     Chwirut, D., NIST (197?).  
               Ultrasonic Reference Block Study. 







Data:          1 Response Variable  (y = ultrasonic response)
               1 Predictor Variable (x = metal distance)
               214 Observations
               Lower Level of Difficulty
               Observed Data

Model:         Exponential Class
               3 Parameters (b1 to b3)

               y = exp[-b1*x]/(b2+b3*x)  +  e



          Starting values                  Certified Values

        Start 1     Start 2           Parameter     Standard Deviation
  b1 =   0.1         0.15          1.9027818370E-01  2.1938557035E-02
  b2 =   0.01        0.008         6.1314004477E-03  3.4500025051E-04
  b3 =   0.02        0.010         1.0530908399E-02  7.9281847748E-04

Residual Sum of Squares:                    2.3844771393E+03
Residual Standard Deviation:                3.3616721320E+00
Degrees of Freedom:                               211
Number of Observations:                           214











Data:  y            x
     92.9000E0     0.5000E0
     78.7000E0     0.6250E0
     64.2000E0     0.7500E0
     64.9000E0     0.8750E0
     57.1000E0     1.0000E0
     43.3000E0     1.2500E0
     31.1000E0     1.7500E0
     23.6000E0     2.2500E0
     31.0500E0     1.7500E0
     23.7750E0     2.2500E0
     17.7375E0     2.7500E0
     13.8000E0     3.2500E0
     11.5875E0     3.7500E0
      9.4125E0     4.2500E0
      7.7250E0     4.7500E0
      7.3500E0     5.2500E0
      8.0250E0     5.7500E0
     90.6000E0     0.5000E0
     76.9000E0     0.6250E0
     71.6000E0     0.7500E0
     63.6000E0     0.8750E0
     54.0000E0     1.0000E0
     39.2000E0     1.2500E0
     29.3000E0     1.7500E0
     21.4000E0     2.2500E0
     29.1750E0     1.7500E0
     22.1250E0     2.2500E0
     17.5125E0     2.7500E0
     14.2500E0     3.2500E0
      9.4500E0     3.7500E0
      9.1500E0     4.2500E0
      7.9125E0     4.7500E0
      8.4750E0     5.2500E0
      6.1125E0     5.7500E0
     80.0000E0     0.5000E0
     79.0000E0     0.6250E0
     63.8000E0     0.7500E0
     57.2000E0     0.8750E0
     53.2000E0     1.0000E0
     42.5000E0     1.2500E0
     26.8000E0     1.7500E0
     20.4000E0     2.2500E0
     26.8500E0     1.7500E0
     21.0000E0     2.2500E0
     16.4625E0     2.7500E0
     12.5250E0     3.2500E0
     10.5375E0     3.7500E0
      8.5875E0     4.2500E0
      7.1250E0     4.7500E0
      6.1125E0     5.2500E0
      5.9625E0     5.7500E0
     74.1000E0     0.5000E0
     67.3000E0     0.6250E0
     60.8000E0     0.7500E0
     55.5000E0     0.8750E0
     50.3000E0     1.0000E0
     41.0000E0     1.2500E0
     29.4000E0     1.7500E0
     20.4000E0     2.2500E0
     29.3625E0     1.7500E0
     21.1500E0     2.2500E0
     16.7625E0     2.7500E0
     13.2000E0     3.2500E0
     10.8750E0     3.7500E0
      8.1750E0     4.2500E0
      7.3500E0     4.7500E0
      5.9625E0     5.2500E0
      5.6250E0     5.7500E0
     81.5000E0      .5000E0
     62.4000E0      .7500E0
     32.5000E0     1.5000E0
     12.4100E0     3.0000E0
     13.1200E0     3.0000E0
     15.5600E0     3.0000E0
      5.6300E0     6.0000E0
     78.0000E0      .5000E0
     59.9000E0      .7500E0
     33.2000E0     1.5000E0
     13.8400E0     3.0000E0
     12.7500E0     3.0000E0
     14.6200E0     3.0000E0
      3.9400E0     6.0000E0
     76.8000E0      .5000E0
     61.0000E0      .7500E0
     32.9000E0     1.5000E0
     13.8700E0     3.0000E0
     11.8100E0     3.0000E0
     13.3100E0     3.0000E0
      5.4400E0     6.0000E0
     78.0000E0      .5000E0
     63.5000E0      .7500E0
     33.8000E0     1.5000E0
     12.5600E0     3.0000E0
      5.6300E0     6.0000E0
     12.7500E0     3.0000E0
     13.1200E0     3.0000E0
      5.4400E0     6.0000E0
     76.8000E0      .5000E0
     60.0000E0      .7500E0
     47.8000E0     1.0000E0
     32.0000E0     1.5000E0
     22.2000E0     2.0000E0
     22.5700E0     2.0000E0
     18.8200E0     2.5000E0
     13.9500E0     3.0000E0
     11.2500E0     4.0000E0
      9.0000E0     5.0000E0
      6.6700E0     6.0000E0
     75.8000E0      .5000E0
     62.0000E0      .7500E0
     48.8000E0     1.0000E0
     35.2000E0     1.5000E0
     20.0000E0     2.0000E0
     20.3200E0     2.0000E0
     19.3100E0     2.5000E0
     12.7500E0     3.0000E0
     10.4200E0     4.0000E0
      7.3100E0     5.0000E0
      7.4200E0     6.0000E0
     70.5000E0      .5000E0
     59.5000E0      .7500E0
     48.5000E0     1.0000E0
     35.8000E0     1.5000E0
     21.0000E0     2.0000E0
     21.6700E0     2.0000E0
     21.0000E0     2.5000E0
     15.6400E0     3.0000E0
      8.1700E0     4.0000E0
      8.5500E0     5.0000E0
     10.1200E0     6.0000E0
     78.0000E0      .5000E0
     66.0000E0      .6250E0
     62.0000E0      .7500E0
     58.0000E0      .8750E0
     47.7000E0     1.0000E0
     37.8000E0     1.2500E0
     20.2000E0     2.2500E0
     21.0700E0     2.2500E0
     13.8700E0     2.7500E0
      9.6700E0     3.2500E0
      7.7600E0     3.7500E0
      5.4400E0     4.2500E0
      4.8700E0     4.7500E0
      4.0100E0     5.2500E0
      3.7500E0     5.7500E0
     24.1900E0     3.0000E0
     25.7600E0     3.0000E0
     18.0700E0     3.0000E0
     11.8100E0     3.0000E0
     12.0700E0     3.0000E0
     16.1200E0     3.0000E0
     70.8000E0      .5000E0
     54.7000E0      .7500E0
     48.0000E0     1.0000E0
     39.8000E0     1.5000E0
     29.8000E0     2.0000E0
     23.7000E0     2.5000E0
     29.6200E0     2.0000E0
     23.8100E0     2.5000E0
     17.7000E0     3.0000E0
     11.5500E0     4.0000E0
     12.0700E0     5.0000E0
      8.7400E0     6.0000E0
     80.7000E0      .5000E0
     61.3000E0      .7500E0
     47.5000E0     1.0000E0
     29.0000E0     1.5000E0
     24.0000E0     2.0000E0
     17.7000E0     2.5000E0
     24.5600E0     2.0000E0
     18.6700E0     2.5000E0
     16.2400E0     3.0000E0
      8.7400E0     4.0000E0
      7.8700E0     5.0000E0
      8.5100E0     6.0000E0
     66.7000E0      .5000E0
     59.2000E0      .7500E0
     40.8000E0     1.0000E0
     30.7000E0     1.5000E0
     25.7000E0     2.0000E0
     16.3000E0     2.5000E0
     25.9900E0     2.0000E0
     16.9500E0     2.5000E0
     13.3500E0     3.0000E0
      8.6200E0     4.0000E0
      7.2000E0     5.0000E0
      6.6400E0     6.0000E0
     13.6900E0     3.0000E0
     81.0000E0      .5000E0
     64.5000E0      .7500E0
     35.5000E0     1.5000E0
     13.3100E0     3.0000E0
      4.8700E0     6.0000E0
     12.9400E0     3.0000E0
      5.0600E0     6.0000E0
     15.1900E0     3.0000E0
     14.6200E0     3.0000E0
     15.6400E0     3.0000E0
     25.5000E0     1.7500E0
     25.9500E0     1.7500E0
     81.7000E0      .5000E0
     61.6000E0      .7500E0
     29.8000E0     1.7500E0
     29.8100E0     1.7500E0
     17.1700E0     2.7500E0
     10.3900E0     3.7500E0
     28.4000E0     1.7500E0
     28.6900E0     1.7500E0
     81.3000E0      .5000E0
     60.9000E0      .7500E0
     16.6500E0     2.7500E0
     10.0500E0     3.7500E0
     28.9000E0     1.7500E0
     28.9500E0     1.7500E0