A biologist grows a culture of fruit flies in a very large enclosure with substantial nutrients available. The following table contains the data on the numbers for each of the first ten days.
DAY | NUMBER OF FILES | DAY | NUMBER OF FLIES | ||||
0 | 10 | 6 | 55 | ||||
1 | 14 | 7 | 72 | ||||
2 | 19 | 8 | 85 | ||||
3 | 24 | 9 | 123 | ||||
4 | 28 | 10 | 136 | ||||
5 | 38 |
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(a) As was done in Example 1.4, use the first two data points to estimate the reproduction rate. Plot the results of the Malthusian model against the data points.
(b) Now use the number of flies after 5 days to estimate the reproduction rate. Plot the results of the Malthusian model against the data points.
(c) If you have a calculator or a computer with the right program, estimate the reproduction rate using linear regression. Plot the results of the Malthusian model against the data points.
(d) Explain the differences in the reproduction rates found in your computations.
(e) In your estimation is the Malthusian model a good one for this experiment?
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