17.12 An investigator has reported the data tabulated below for an experiment to determine the growth rate of bacteria k (per d), as a function of oxygen concentration c (mg/L). It is known that such data can be modeled by the following equation: kmax 2 k = Cs +2 where cs and kmax are parameters. Use a transformation to linearize this equation. Then use linear regression to estimate cs and kmax and predict the growth rate at c= 2 mg/L. 0.5 0.8 1.5 2.5 4 C. k 1.1 2.4 5.3 7.6 8.9

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Numerical method
Numerical Methods
17.12 An investigator has reported the data tabulated below for an
experiment to determine the growth rate of bacteria k (per d), as a
function of oxygen concentration c (mg/L). It is known that such
data can be modeled by the following equation:
kmax 2
k =
Cs +2
where cs and kmax are parameters. Use a transformation to linearize
this equation. Then use linear regression to estimate cs and kmax and
predict the growth rate at c=
2 mg/L.
0.5
0.8
2.5
4
k
1.1
2.4
5.3
7.6
8.9
5)
5.
Transcribed Image Text:Numerical Methods 17.12 An investigator has reported the data tabulated below for an experiment to determine the growth rate of bacteria k (per d), as a function of oxygen concentration c (mg/L). It is known that such data can be modeled by the following equation: kmax 2 k = Cs +2 where cs and kmax are parameters. Use a transformation to linearize this equation. Then use linear regression to estimate cs and kmax and predict the growth rate at c= 2 mg/L. 0.5 0.8 2.5 4 k 1.1 2.4 5.3 7.6 8.9 5) 5.
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