In The Biology of Population Growth, published in 1925, the biologist Raymond Pearl reported the data shown in the following table for the growth of a population of fruit flies.
Day | Number OF FLIES | Day | Number OF FLIES |
0 | 6 | 18 | 163 |
3 | 10 | 21 | 226 |
7 | 21 | 24 | 265 |
9 | 52 | 28 | 282 |
12 | 67 | 32 | 319 |
15 | 104 |
|
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(a) Notice that data were not collected systematically. However, data were collected on days 9 and 18. Use the method of Example 1.20 to estimate the natural reproductive rate and the carrying capacity for a logistic model.
(b) If you have a computer program with a least squares program, use it with all of. the data in the table to estimate the natural reproductive rate and the carrying capacity for a logistic model.
(c) Is the logistic model a good one for this data?
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