The table gives the number of yeast cells in a new laboratory culture.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(d) Compare the predicted values with the observed values, both in a table and with graphs. Use your logistic model to estimate the number of yeast cells after 17 hours. (Round your answer
to the nearest number of cells.)
yeast cells

Transcribed Image Text:The table gives the number of yeast cells in a new laboratory culture.
Time (hours) Yeast cells
Time (hours) Yeast cells
18
10
509
39
12
597
4
80
14
640
6
171
16
664
8
336
18
672
(a) Plot the data and use the plot to estimate the carrying capacity M for the yeast population.
O M = 340
O M = 680
O M = 20
M = 0
M = 1200
(b) Use the data to estimate the initial relative growth rate. (Use the first two data points.)
0.583
(c) Find an exponential model for these data. (Use the relative growth rate found in part (b).)
P(t) = 18e0.583t
Find a logistic model for these data. (Use the relative growth rate found in part (b).)
P(t) =
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