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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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*.
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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