Q3: 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: 1 1 Cs 1 k kmax' kmax c2 and kmax where c, and kmax are parameters. Use linear regression to estimate and predict the growth rate at c = 2 mg/L. Cs 0.5 0.8 1.5 2.5 4 k 1.1 2.4 5.3 7.6 8.9 Note: y = ao + a1. x 1 y k 1 ao kmax Cs a1 kmax X = c2 II II II

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Q3: 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:
1
1
Cs
1
k
kmax
kmax c2
where cs and kmax are parameters. Use linear regression to estimate c, and kmax
and predict the growth rate at c =
2 mg/L.
0.5
0.8
1.5
2.5
k
1.1
2.4
5.3
7.6
8.9
Note:
y = ao + a1.x
y
k
ao =
kmax
Cs
a =
kmax
1
x =
c2
Transcribed Image Text:Q3: 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: 1 1 Cs 1 k kmax kmax c2 where cs and kmax are parameters. Use linear regression to estimate c, and kmax and predict the growth rate at c = 2 mg/L. 0.5 0.8 1.5 2.5 k 1.1 2.4 5.3 7.6 8.9 Note: y = ao + a1.x y k ao = kmax Cs a = kmax 1 x = c2
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