Statistics for Environmental Engineers

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0.8830


0.8989

Source: Tennessee Valley Authority (1962). Prediction of Stream Reaeration Rates, Chattanooga, TN.


34.4 Diesel Fuel Partitioning. The data below describe organic chemicals that are found in diesel fuel and that are soluble in water. Fit a linear model that relates partition coefficient (K) and the aqueous solubility (S) of these chemicals. It is most convenient to work with the logarithms of K and S.


Compound


log(K)


log(S)


Naphthalene


3.67


-3.05


1-Methyl-naphthalene


4.47


-3.72


2-Methyl-naphthalene


4.31


-3.62


Acenaphthene


4.35


-3.98


Fluorene


4.45


-4.03


Phenanthrene


4.60


-4.50


Anthracene


5.15


-4.49


Fluoranthene


5.32


-5.19

Source: Lee, L. S. et al. (1992). Emir. Sci. Technol, 26, 2104-2110.


34.5 Background Lead. Use the following data to estimate the background concentration of lead in the wastewater effluent to which the indicated spike amounts of lead were added. What is the confidence interval for the background concentration?


Pb Added (pg/L)    Five Replicate Measurements of Pb (pg/L)


0


1.8


1.2


1.3


1.4


1.7


1.25


1.7


1.9


1.7


2.7


2.0


2.5


3.3


2.4


2.7


3.2


3.3


5.0


5.6


5.6


5.6


5.4


6.2


10.0


11.9


10.3


9.3


12.0


9.8

35

Precision of Parameter Estimates in Nonlinear Models


KEY WORDS biokinetics, BOD, confidence interval, confidence region, joint confidence region, critical sum of squares, Monod model, nonlinear least squares, nonlinear regression, parameter correlation, parameter estimates, precision, residuals sum of squares.

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