The end-of-year assets of the Medicare Hospital Insurance Trust Fund (in billions of dollars) for the years 2006 through 2014 are shown. (a) Use the regression capabilities of a graphing utility to...

The end-of-year assets of the Medicare Hospital Insurance Trust Fund (in billions of dollars) for the years 2006 through 2014 are shown. (a) Use the regression capabilities of a graphing utility to find a model of the form          M = at³
+ bt²
+ ct + d for the data. Let t = 6 represent 2006. (b) Use a graphing utility to plot the data and graph the model. (c) Find the maximum value of the model and compare the result with the actual data.

Extracted text: 2006: 305.4 2007: 326.0 2008: 321.3 2009: 304.2 2010: 271.9 2011: 244.2 2012: 220.4 2013: 205.4 2014: 197.3