Population Table 7.8 gives the population (in thousands)

Chapter 7, Problem 638

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Population Table 7.8 gives the population (in thousands) of the states of Hawaii and Idaho for several years. Let stand for 1980, for 1981, and so forth. x = 1 x = 0 SECTION 7 Review Exercises 575 Source: U.S. Census Bureau, Statistical Abstract of the United States: 2009, Table 125. National Health Expenditures by Type: 1990 to 2006; http://www.census.gov/prod/2008pubs/09statab/health.pdf Table 7.7 Total Medicare Disbursements Year Disbursements (billions) 2000 224.3 2001 247.7 2002 265.1 2003 281.5 2004 309.3 2005 338.0 2006 401.3 Source: U.S. Census Bureau, Current Population Reports, P25-1106. Table 7.8 Population Year Hawaii Idaho (thousands) (thousands) 1980 965 944 1990 1108 1007 2000 1212 1294 2002 1229 1342 2003 1240 1364 2004 1254 1392 2005 1268 1426 2006 1279 1464 2007 1283 1499 (a) Find a linear regression model for Hawaiis data and superimpose its graph on a scatter plot of Hawaiis data. (b) Find a linear regression model for Idahos data and superimpose its graph on a scatter plot of Idahos data. (c) Using the models in parts (a) and (b), when was the population of the two states the same? (d) Writing to Learn Why might you want to use a different model than a linear model for the population growth? What model do you think would be best for Hawaii and then for Idaholinear, logistic, exponential, power, quadratic, or cubic? Explain your thinking.