The table shows the total numbers of enrollees (in millions) for the Veterans Health Administration for 2010 through 2014. Let represent the year 2010. (Source: U.S. Department of Veterans Affairs)
Year, x
2010
2011
2012
2013
2014
Total Enrollees, y
8.3
8.6
8.8
8.9
9.1
(a) Use the regression capabilities of a graphing utility to find the least squares regression line for the data.
(b) Use the regression capabilities of a graphing utility to find the least squares regression quadratic for the data.
(c) Use a graphing utility to plot the data and graph the models.
(d) Use both models to forecast the total number of enrollees for the year 2025. How do the two models differ as you extrapolate into the future?
