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: c² k = kmax C, +c? where cs and kmax are parameters. Plot the data to prove it can fit into the equation. Use a transformation to linearize this equation. Then use linear regression to estimate c, and kmax and predict the growth rate at c = 2 mg/L. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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:
c²
k = kme
max
C, +c?
where cs and kmax are parameters. Plot the data to prove it can fit
into the equation. Use a transformation to linearize this equation.
Then use linear regression to estimate c, and kmax and predict the
growth rate at c = 2 mg/L.
C
0.5
0.8
1.5
2.5
4
K
1.1
2.5
5.3
7.6
8.9
Transcribed Image Text: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: c² k = kme max C, +c? where cs and kmax are parameters. Plot the data to prove it can fit into the equation. Use a transformation to linearize this equation. Then use linear regression to estimate c, and kmax and predict the growth rate at c = 2 mg/L. C 0.5 0.8 1.5 2.5 4 K 1.1 2.5 5.3 7.6 8.9
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