Find and graph the best-fitting line

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Reference no: EM131125590

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:

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) = cert over this 90-yerar period.

Reference no: EM131125590

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