Question

(a) Census data for the United States between 1790 and 1950 are given in the table above. Construct a logistic population model using the data from 1790, 1840, and 1910. (Assume that t is years since 1790 and P is population in millions. Round all coefficients to four decimal places.)

P(t) =

(b) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error and the percentage error for each entry pair.

Please do both parts!

Year Population (in millions) 3.929 5.308 7.240 9.638 12.866 17.069 23.192 31.433 38.558 50.156 62.948 75.996 91.972 105.711 22.775 131.669 150.697 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 Census Population Predicted Population Error (rounded to three decimal places) % Error (rounded to two decimal places) Year in Millions) (in Millions, rounded to three decimal places) 1820 1870 9.638 38.558

Answer 1

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