Solution: Use the data in the table, which shows the personal income and outlays (both in trillions of dollars) for Americans for 11 recent years. (Source:


Question: Use the data in the table, which shows the personal income and outlays (both in trillions of dollars) for Americans for 11 recent years. (Source: U.S. Commerce Department, Bureau of Economic Analysis)

The equation used to predict sunflower yield (in pounds) is

\[\hat{y}=1257-1.34{{x}_{1}}+1.41{{x}_{2}}\]

where \({{x}_{1}}\) is the number of acres planted (in thousands) and \({{x}_{2}}\) is the number of acres harvested (in thousands). Use the regression equation to predict the y-values for the given values of the independent variable listed below. Then determine which variable has a greater influence on the value of \(y\)

  1. \({{x}_{1}}=2103,\text{ }{{x}_{2}}=2037\) (b) \({{x}_{1}}=3387,\text{ }{{x}_{2}}=3009\)

(c) \({{x}_{1}}=2185,\text{ }{{x}_{2}}=1980\) (d) \({{x}_{1}}=3485,\text{ }{{x}_{2}}=3404\)

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