The following table gives the U.S. national consumption and disposable income (both in billions of dollars) for presidential election years from 2012 and projected to 2040.

(a) Use linear regression to find the linear equation that is the best fit for these data, with y representing the disposable income and C representing the consumption. Report the model with 3 significant digits.

(b) Graph the data and the linear regression line and discuss the fit.

(c) Use the linear model to predict the U.S. disposable income when the U.S. national consumption is $19 billion.

(d) Find and interpret the slope of the reported model.

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Year Income Consumption Year Income Consumption 2012 10.2 9.6 2028 17.1 15.4 2016 12.6 11.6 2032 18.5 16.8 2020 14.2 12.9 2036 20.1 18.3 2024 15.5 14.0 2040 21.9 19.9