data/nist/BoxBOD.dat

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

File Format:   ASCII
               Starting Values   (lines 41 to 42)
               Certified Values  (lines 41 to 47)
               Data              (lines 61 to 66)

Procedure:     Nonlinear Least Squares Regression

Description:   These data are described in detail in Box, Hunter and
               Hunter (1978).  The response variable is biochemical
               oxygen demand (BOD) in mg/l, and the predictor
               variable is incubation time in days.


Reference:     Box, G. P., W. G. Hunter, and J. S. Hunter (1978).
               Statistics for Experimenters.  
               New York, NY: Wiley, pp. 483-487.





Data:          1 Response  (y = biochemical oxygen demand)
               1 Predictor (x = incubation time)
               6 Observations
               Higher Level of Difficulty
               Observed Data

Model:         Exponential Class
               2 Parameters (b1 and b2)

               y = b1*(1-exp[-b2*x])  +  e


 
          Starting values                  Certified Values

        Start 1     Start 2           Parameter     Standard Deviation
  b1 =   1           100           2.1380940889E+02  1.2354515176E+01
  b2 =   1             0.75        5.4723748542E-01  1.0455993237E-01

Residual Sum of Squares:                    1.1680088766E+03
Residual Standard Deviation:                1.7088072423E+01
Degrees of Freedom:                                4
Number of Observations:                            6  












Data:   y             x
      109             1
      149             2
      149             3
      191             5
      213             7
      224            10