E-Filing: The table below shows the number of tax returns (in millions) made through e-file from 2003 through 2010. Let f(t) represent the number of tax returns made through e-file in the year t. (Source: Internal Revenue Service). DATA: Year 2003 2004 2005 2006 2007 2008 2009 2010 a. Find Number of Tax returns Made Through E-File 52.9 61.5 68.5 73.3 80.0 89.9 95.0 98.7 f (2010) f ( 2003) 2010 2003 and interpret the result in the context of the problem. b. Make a scatter plot of the data (year on the horizontal axis and tax returns on the vertical axis). Please use the next extra sheet of page provided. Please use the whole sheet c. Find a linear model for data algebraically. Let N represent the number of tax returns made through e-file and let t = 3 correspond to 2003. d. Use the model in part (c) to complete the table the table below. t N 3 4 5 6 e. Compare the results in (d) with the actual data 7 8 9 10 f. Using a graphing a utility to find a linear model for the data. Let x = 3 correspond to 2003. How does the model you find in part (c) compare with the model given by the graphing utility? g. From the graphing calculator, what is the correlation coefficient? Describe the strength of the correlation coefficient