3. The following data were obtained for the growth of a sheep population introduced into a new environment on the island of Tasmania (adapted from J. Davidson, "On the Growth of the Sheep Population in Tasmania," Trans. R. Soc. S. Australia 62(1938): 342-346). t (year) P(t) 1814 125 1824 275 1834 830 1844 1200 1854 1750 1864 1650 a. Make an estimate of M by graphing P(t). b. Plot In[P/(M – P)] against t. If a logistic curve seems reasonable, estimate rM and t*.
3. The following data were obtained for the growth of a sheep population introduced into a new environment on the island of Tasmania (adapted from J. Davidson, "On the Growth of the Sheep Population in Tasmania," Trans. R. Soc. S. Australia 62(1938): 342-346). t (year) P(t) 1814 125 1824 275 1834 830 1844 1200 1854 1750 1864 1650 a. Make an estimate of M by graphing P(t). b. Plot In[P/(M – P)] against t. If a logistic curve seems reasonable, estimate rM and t*.
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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![3. The following data were obtained for the growth of a sheep population introduced into a
new environment on the island of Tasmania (adapted from J. Davidson, "On the Growth
of the Sheep Population in Tasmania," Trans. R. Soc. S. Australia 62(1938): 342-346).
t (year)
P (t)
1814
125
1824
275
1834
830
1844
1200
1854
1750
1864
1650
a. Make an estimate of M by graphing P(t).
b. Plot In[P/(M – P)] against t. If a logistic curve seems reasonable, estimate rM
and t*.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f71ceb2-3997-4087-a061-b3f0f635fe3e%2F5d9076dd-d7a3-43aa-bcc7-524c986713df%2Fnuhtfjl_processed.png&w=3840&q=75)
Transcribed Image Text:3. The following data were obtained for the growth of a sheep population introduced into a
new environment on the island of Tasmania (adapted from J. Davidson, "On the Growth
of the Sheep Population in Tasmania," Trans. R. Soc. S. Australia 62(1938): 342-346).
t (year)
P (t)
1814
125
1824
275
1834
830
1844
1200
1854
1750
1864
1650
a. Make an estimate of M by graphing P(t).
b. Plot In[P/(M – P)] against t. If a logistic curve seems reasonable, estimate rM
and t*.
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