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1. Consider the entries presented in the table below, which represented one estimated of the world's population levels over the period 1750 to 1920:
Year AD (t)
Population size x (in billions)
1750
0.79
1800
098
1850
1.26
1900
1.65
1950
1.75
1920
1.86
Provide a semi-log plot of the points (t, in x) and find and graph the best-fitting line through these points on the same plot. From this line, provide an estimated of the average growth rate exponent r for the population size function x(t) = cert over this 170-year period.
2. Consider the entries presented in the table below, which represented one estimated of the world's population levels over the period 1920 to 2010:
1930
2.07
1940
2.30
2.52
1960
3.02
1970
3.70
1980
4.44
1990
5.27
1999
5.98
2010
6.86
Provide a semi-log plot of the points (t, ln x) and find and graph the best-fitting line through these points on the same plot. From this line, provide an estimate of the average growth rate exponent r for the population size function x(t) = cert over this 90-yerar period.
Notice that all of the vertical traces are parabolas whether these vertical traces are in the planes x = a. Which of these vertical traces are parabolas opening up and which are parabolas opening down?
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This assignment has questions related to probabiltiy.
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