Draw a graph of the population of the USA from 1790 to 2000, using the (logistic) model:
where t is the date in years.
Actual data (in 1000s) for every decade from 1790 to 1950 are as follows: 3929, 5308, 7240, 9638, 12,866, 17,069, 23,192, 31,443, 38,558, 50,156, 62,948, 75,995, 91,972, 105,711, 122,775, 131,669, 150,697. Superimpose this data on the graph of P(t). Plot the data as discrete circles (i.e., do not join them with lines) as shown in Figure 9.16.
