1NIST/ITL StRD 2Dataset Name: BoxBOD (BoxBOD.dat) 3 4File Format: ASCII 5 Starting Values (lines 41 to 42) 6 Certified Values (lines 41 to 47) 7 Data (lines 61 to 66) 8 9Procedure: Nonlinear Least Squares Regression 10 11Description: These data are described in detail in Box, Hunter and 12 Hunter (1978). The response variable is biochemical 13 oxygen demand (BOD) in mg/l, and the predictor 14 variable is incubation time in days. 15 16 17Reference: Box, G. P., W. G. Hunter, and J. S. Hunter (1978). 18 Statistics for Experimenters. 19 New York, NY: Wiley, pp. 483-487. 20 21 22 23 24 25Data: 1 Response (y = biochemical oxygen demand) 26 1 Predictor (x = incubation time) 27 6 Observations 28 Higher Level of Difficulty 29 Observed Data 30 31Model: Exponential Class 32 2 Parameters (b1 and b2) 33 34 y = b1*(1-exp[-b2*x]) + e 35 36 37 38 Starting values Certified Values 39 40 Start 1 Start 2 Parameter Standard Deviation 41 b1 = 1 100 2.1380940889E+02 1.2354515176E+01 42 b2 = 1 0.75 5.4723748542E-01 1.0455993237E-01 43 44Residual Sum of Squares: 1.1680088766E+03 45Residual Standard Deviation: 1.7088072423E+01 46Degrees of Freedom: 4 47Number of Observations: 6 48 49 50 51 52 53 54 55 56 57 58 59 60Data: y x 61 109 1 62 149 2 63 149 3 64 191 5 65 213 7 66 224 10 67