Question: (a) Census data for the United States between 1790 and 1950 are given in the following table. Construct a logistic population model using the data

(a) Census data for the United States between 1790 and 1950 are given in the following table. Construct a logistic population model using the data from 1790, 1850, and 1910.

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

Year Population (in millions) 1790 3.929 1800 5.308 1810 7.240 9.638 1820 1830 12.866 1840 17.069 23.192 1850 31.433 186

Year Population (in millions) 1790 3.929 1800 5.308 1810 7.240 9.638 1820 1830 12.866 1840 17.069 23.192 1850 31.433 1860 38.558 1870 1880 50.156 1890 62.948 75.996 1900 1910 91.972 1920 105.711 1930 122.775 131.669 1940 1950 150.697

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a We have dPdt PabP with P0 3929 million Using separation of variables we obtain Pt 3929a3929b a 392... View full answer

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