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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