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# Population 3: Figure 8-4j and thetable below show the population of the United States ISBN: 9781559533911 468

## Solution for problem 5 Chapter 8-4

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 5

Population 3: Figure 8-4j and thetable below show the population of the United States for various years. The information was obtained from the U.S. Census Bureau at www.census.gov. The variable x is the number of years elapsed since 1930. 1940 10 132.1 1950 20 152.3 1960 30 180.7 1970 40 205.1 1980 50 227.2 1990 60 249.5 Figure 8-4j a. Explain why a linear function and an untranslated power function would not have the correct endpoint behavior for dates long before 1930. Explain why an exponential function of the form y = abx would not have a reasonable endpoint behavior for dates long after the present. b. Find the particular equation of the bestfitting logistic function. Plot it and the data on the same screen. Use a window that includes dates back to 1830 and forward to 2130. Sketch the result. c. What does the logistic model predict for the outcome of the 2000 census? (You can check the Web site to see how close this comes to the actual outcome.) What does the logistic model predict for the maximum sustainable population of the United States? d. Suppose that the result of the 1990 census had been 250.5 million, one million higher. Run another logistic regression with the modified data. What does the new model predict for the maximum sustainable population?

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##### ISBN: 9781559533911

This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. The answer to “Population 3: Figure 8-4j and thetable below show the population of the United States for various years. The information was obtained from the U.S. Census Bureau at www.census.gov. The variable x is the number of years elapsed since 1930. 1940 10 132.1 1950 20 152.3 1960 30 180.7 1970 40 205.1 1980 50 227.2 1990 60 249.5 Figure 8-4j a. Explain why a linear function and an untranslated power function would not have the correct endpoint behavior for dates long before 1930. Explain why an exponential function of the form y = abx would not have a reasonable endpoint behavior for dates long after the present. b. Find the particular equation of the bestfitting logistic function. Plot it and the data on the same screen. Use a window that includes dates back to 1830 and forward to 2130. Sketch the result. c. What does the logistic model predict for the outcome of the 2000 census? (You can check the Web site to see how close this comes to the actual outcome.) What does the logistic model predict for the maximum sustainable population of the United States? d. Suppose that the result of the 1990 census had been 250.5 million, one million higher. Run another logistic regression with the modified data. What does the new model predict for the maximum sustainable population?” is broken down into a number of easy to follow steps, and 221 words. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. The full step-by-step solution to problem: 5 from chapter: 8-4 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Since the solution to 5 from 8-4 chapter was answered, more than 216 students have viewed the full step-by-step answer.

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