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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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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