Question

Using the U.S. census data in Table 3.1 for 1900, 1920, and 1940 to determine parameters in the logistic equa- tion model, what populations does the model predict for 2000 and 2010? Compare your answers with the census data for those years. Comparison of the Malthusian and Logistic Models with U.S. Census Data (Population is given in Millions) TABLE 3.1 Logistic Least Squares) Malthusian Year .S. Census (Example 3) (Example 4) p di 403 3.93 1790 5.42 0.0312 5.31 1800 0.0299 1810 0.0292 9.58 9.03 1820 12.33 0.0289 12.82 11.92 12.87 1830 0.0302 170 15.73 20.76 1840 0.0310 2 1850 29.70 27.33 0.0265 0.0235 31.44 39.82 50.19 62.98 76.21 27.40 1860 1870 0.0231 45.21 47.72 1880 62.98 0.0207 78.42 0.0192 95.73 0.0162 57.41 62.98 1890 83.12 1900 89.37 109.69 92.23 1910 0.0146 109.10 144.76 106.02 1920 133.48 152.26 0.0106 0.0106 130.92 123.20 132.16 151.33 1930 154.20 252.13 1940 333.74 439.12 0.0156 178.12 169.90 1950 185.76 199.50 0.0145 0.0116 201.75 179.32 1960 579.52 764.80 224.21 203.30 1970 0.0100 244.79 226.54 1980 1009.33 220.380.0110 227.840.0107 233.68 263.01 248.71 1990 1332.03 278.68 281.42 2000 1757.91 291.80 302.56 2010308.75 2020 238.17 2319.95

Answer 1

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