The following data represent the population of the United States from 1790 to 2000. In Problems 6-12,

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The following data represent the population of the United States from 1790 to 2000.

Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910. 1920 1930 1940 1950 1960 1970 1980

In Problems 6-12, construct a scatterplot of the given data. Is there a trend in the data?
Are any of the data points outliers? Construct a divided difference table. Is smoothing with a low-order polynomial appropriate? If so, choose an appropriate polynomial and  fit using the least-squares criterion of best fit. Analyze the goodness of fit by examining appropriate indicators and graphing the model, the data points, and the deviations.

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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