Provide a semi-log plot of the points t in x and find and

Question

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) = ce^rt 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:

Year AD (t)	Population size x (in billions)
1920	1.86
1930	2.07
1940	2.30
1950	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) = ce^rt over this 90-yerar period.