NIST/ITL StRD
Dataset Name:  Chwirut2          (Chwirut2.dat)

File Format:   ASCII
               Starting Values   (lines 41 to  43)
               Certified Values  (lines 41 to  48)
               Data              (lines 61 to 114)

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  (y = ultrasonic response)
               1 Predictor (x = metal distance)
               54 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          1.6657666537E-01  3.8303286810E-02
  b2 =   0.01        0.008         5.1653291286E-03  6.6621605126E-04
  b3 =   0.02        0.010         1.2150007096E-02  1.5304234767E-03

Residual Sum of Squares:                    5.1304802941E+02
Residual Standard Deviation:                3.1717133040E+00
Degrees of Freedom:                                51
Number of Observations:                            54









 

Data:  y             x
      92.9000E0     0.500E0
      57.1000E0     1.000E0
      31.0500E0     1.750E0
      11.5875E0     3.750E0
       8.0250E0     5.750E0
      63.6000E0     0.875E0
      21.4000E0     2.250E0
      14.2500E0     3.250E0
       8.4750E0     5.250E0
      63.8000E0     0.750E0
      26.8000E0     1.750E0
      16.4625E0     2.750E0
       7.1250E0     4.750E0
      67.3000E0     0.625E0
      41.0000E0     1.250E0
      21.1500E0     2.250E0
       8.1750E0     4.250E0
      81.5000E0      .500E0
      13.1200E0     3.000E0
      59.9000E0      .750E0
      14.6200E0     3.000E0
      32.9000E0     1.500E0
       5.4400E0     6.000E0
      12.5600E0     3.000E0
       5.4400E0     6.000E0
      32.0000E0     1.500E0
      13.9500E0     3.000E0
      75.8000E0      .500E0
      20.0000E0     2.000E0
      10.4200E0     4.000E0
      59.5000E0      .750E0
      21.6700E0     2.000E0
       8.5500E0     5.000E0
      62.0000E0      .750E0
      20.2000E0     2.250E0
       7.7600E0     3.750E0
       3.7500E0     5.750E0
      11.8100E0     3.000E0
      54.7000E0      .750E0
      23.7000E0     2.500E0
      11.5500E0     4.000E0
      61.3000E0      .750E0
      17.7000E0     2.500E0
       8.7400E0     4.000E0
      59.2000E0      .750E0
      16.3000E0     2.500E0
       8.6200E0     4.000E0
      81.0000E0      .500E0
       4.8700E0     6.000E0
      14.6200E0     3.000E0
      81.7000E0      .500E0
      17.1700E0     2.750E0
      81.3000E0      .500E0
      28.9000E0     1.750E0