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Explain why it would be reasonable to use an exponential model to describe the relationship between the U.S. population in the years 1790 to 1880 and the number of years since 1700. Here is some Minitab output from a linear regression analysis on the transformed data.

Short Answer

Expert verified

The exponential model will provide a better description of the relationship between the U.S. population in the years 1790 to 1880 and the number of the years since 1700 .

Step by step solution

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Given Information

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Explanation

To use an exponential model to describe the relationship between the U.S. population in the years 1790to 1880and the number of the years since 1700because the model that gives a better description of the relationship between the U.S. population in the years 1790to 1880 and the number of the years since 1700needs to have a roughly linear pattern in the scatterplot. Thus, the exponential model will provide a better description of the relationship between the U.S. population in the years 1790to 1880and the number of the years since 1700.

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