A formula for the population of the USA is P(t) Po ae -0.02(t-1800) - where t...

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A formula for the population of the USA is P(t) Po ae -0.02(t-1800) - where t is the date in years. Some actual data is as follows Date Population 1800 5308000 1820 9638000 1840 17069000 1870 38558000 1900 75995000 1930 122775000 1950 150697000 Find values of Po and a that give a best fit of the formula to the data. Produce a graph showing the function P (t) against time as a continuous line, together with the given data points as discrete points [20] A formula for the population of the USA is P(t) Po ae -0.02(t-1800) - where t is the date in years. Some actual data is as follows Date Population 1800 5308000 1820 9638000 1840 17069000 1870 38558000 1900 75995000 1930 122775000 1950 150697000 Find values of Po and a that give a best fit of the formula to the data. Produce a graph showing the function P (t) against time as a continuous line, together with the given data points as discrete points [20]

Answer rating: 100% (QA)

To find the values of Po and a that give the best fit of the formula to the data we can use a curve fitting technique such as least squares regression ... View the full answer