Data Analysis: Personal Income The table shows the per capita personal income in the

Chapter 9, Problem 95

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Data Analysis: Personal Income The table shows the per capita personal income in the United States from 1993 to 2003. (Source: U.S. Bureau of Economic Analysis) (a) Find an arithmetic sequence that models the data. Let represent the year, with corresponding to 1993. (b) Use the regression feature of a graphing utility to find a linear model for the data. How does this model compare with the arithmetic sequence you found in part (a)? (c) Use a graphing utility to graph the terms of the finite sequence you found in part (a). (d) Use the sequence from part (a) to estimate the per capita personal income in 2004 and 2005. (e) Use your schools library, the Internet, or some other reference source to find the actual per capita personal income in 2004 and 2005, and compare these values with the estimates from part (d).