env/ceres-solver/data/nist/Misra1b.dat

NIST/ITL StRD
Dataset Name:  Misra1b           (Misra1b.dat)

File Format:   ASCII
               Starting Values   (lines 41 to 42)
               Certified Values  (lines 41 to 47)
               Data              (lines 61 to 74)

Procedure:     Nonlinear Least Squares Regression

Description:   These data are the result of a NIST study regarding
               dental research in monomolecular adsorption.  The
               response variable is volume, and the predictor
               variable is pressure.

Reference:     Misra, D., NIST (1978).  
               Dental Research Monomolecular Adsorption Study.







Data:          1 Response  (y = volume)
               1 Predictor (x = pressure)
               14 Observations
               Lower Level of Difficulty
               Observed Data

Model:         Miscellaneous Class
               2 Parameters (b1 and b2)

               y = b1 * (1-(1+b2*x/2)**(-2))  +  e



          Starting values                  Certified Values

        Start 1     Start 2           Parameter     Standard Deviation
  b1 =   500         300           3.3799746163E+02  3.1643950207E+00
  b2 =     0.0001      0.0002      3.9039091287E-04  4.2547321834E-06
 
Residual Sum of Squares:                    7.5464681533E-02
Residual Standard Deviation:                7.9301471998E-02
Degrees of Freedom:                                12
Number of Observations:                            14










 
 
Data:   y               x
      10.07E0      77.6E0
      14.73E0     114.9E0
      17.94E0     141.1E0
      23.93E0     190.8E0
      29.61E0     239.9E0
      35.18E0     289.0E0
      40.02E0     332.8E0
      44.82E0     378.4E0
      50.76E0     434.8E0
      55.05E0     477.3E0
      61.01E0     536.8E0
      66.40E0     593.1E0
      75.47E0     689.1E0
      81.78E0     760.0E0