6. The Gross Domestic Product (GDP) is the market value of all final goods and services produced within a country during a given time period. US GDP Year ( millions of dollars) 1870 121,309 1880 207,245 1890 344,747 1900 456,861 1910 576,709 1920 743,030 1930 966,700 1940 1,266, 100 1950 2, 184,000 1960 3, 108,700 1970 4,722,000 1980 6,450,400 1990 8,955,000 2000 12,559,700 2010 14,783,800 a) Sketch a scatter plot of the data to determine the shape of the data and which function will most likely model the data. b) Use technology to model the data and compare the values of R , and confirm your conjecture from part "a" is correct. c) Use the regression model to predict the GDP in 2050. d) Use the regression model to determine when the GDP reached 7,000,000 (million). (show work)