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Census data for the United States between 1790 and 1950 are given in the table above. Construct a logistic population model usi 90. (Assume that this years since 1790 and P is population in millions. Round all coefficients to four decimal places.) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error a

Census data for the United States between 1790 and 1950 are given in the table above. Construct a logistic population model usi 90. (Assume that this years since 1790 and P is population in millions. Round all coefficients to four decimal places.) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error a

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Consider the following. Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 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 91.972 105.711 122.775 131.669 150.697
Transcribed Image Text:Consider the following. Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 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 91.972 105.711 122.775 131.669 150.697
(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 1890. (Assume that this 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. Year 1820 1850 Census Population (in Millions) 9.638 23.192 Predicted Population (in Millions, rounded to three decimal places) Error (rounded to three decimal places) % Error (rounded to two decimal places) % %
Transcribed Image Text:(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 1890. (Assume that this 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. Year 1820 1850 Census Population (in Millions) 9.638 23.192 Predicted Population (in Millions, rounded to three decimal places) Error (rounded to three decimal places) % Error (rounded to two decimal places) % %
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