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0001 NIST/ITL StRD 0002 Dataset Name: BoxBOD (BoxBOD.dat) 0003 0004 File Format: ASCII 0005 Starting Values (lines 41 to 42) 0006 Certified Values (lines 41 to 47) 0007 Data (lines 61 to 66) 0008 0009 Procedure: Nonlinear Least Squares Regression 0010 0011 Description: These data are described in detail in Box, Hunter and 0012 Hunter (1978). The response variable is biochemical 0013 oxygen demand (BOD) in mg/l, and the predictor 0014 variable is incubation time in days. 0015 0016 0017 Reference: Box, G. P., W. G. Hunter, and J. S. Hunter (1978). 0018 Statistics for Experimenters. 0019 New York, NY: Wiley, pp. 483-487. 0020 0021 0022 0023 0024 0025 Data: 1 Response (y = biochemical oxygen demand) 0026 1 Predictor (x = incubation time) 0027 6 Observations 0028 Higher Level of Difficulty 0029 Observed Data 0030 0031 Model: Exponential Class 0032 2 Parameters (b1 and b2) 0033 0034 y = b1*(1-exp[-b2*x]) + e 0035 0036 0037 0038 Starting values Certified Values 0039 0040 Start 1 Start 2 Parameter Standard Deviation 0041 b1 = 1 100 2.1380940889E+02 1.2354515176E+01 0042 b2 = 1 0.75 5.4723748542E-01 1.0455993237E-01 0043 0044 Residual Sum of Squares: 1.1680088766E+03 0045 Residual Standard Deviation: 1.7088072423E+01 0046 Degrees of Freedom: 4 0047 Number of Observations: 6 0048 0049 0050 0051 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x 0061 109 1 0062 149 2 0063 149 3 0064 191 5 0065 213 7 0066 224 10