Question content area top Part 1 The table to the right shows a​ country's gross domestic expenditures on research and development​ (in billions of U.S.​ dollars). ​(a) Let xequals4 correspond to the year 2004. Plot the data points and use quadratic regression to find a function that models the data. ​(b) Use the model to estimate the expenditures in the year 2012. Start 8 By 2 Table 1st Row 1st Column Year 2nd Column Upper R dash and dash Upper D spending 2nd Row 1st Column 2004 2nd Column 58.8 3rd Row 1st Column 2005 2nd Column 72.9 4st Row 1st Column 2006 2nd Column 88.4 5st Row 1st Column 2007 2nd Column 100.5 6st Row 1st Column 2008 2nd Column 125.1 7st Row 1st Column 2009 2nd Column 150.8 8st Row 1st Column 2010 2nd Column 174.1 EndTable

Question content area bottom Part 1 ​(a) Plot the data points. Choose the correct graph below. All graphs are shown in a​ [0,10,1] by​ [0,200,20] viewing window. A.

A scatterplot has a horizontal axis labeled from 0 to 10 in increments of 1 and a vertical axis labeled from 0 to 200 in increments of 20. The following points are plotted: (4, 174); (5, 151); (6, 125); (7, 101); (8, 101), (9, 88); (10, 73). All coordinates are approximate. B.

A scatterplot has a horizontal axis labeled from 0 to 10 in increments of 1 and a vertical axis labeled from 0 to 200 in increments of 20. The following points are plotted: (1, 174); (2, 151); (3, 125); (4, 101); (5, 88), (6, 73); (7, 59). All coordinates are approximate. C.

A scatterplot has a horizontal axis labeled from 0 to 10 in increments of 1 and a vertical axis labeled from 0 to 200 in increments of 20. The following points are plotted: (1, 59); (2, 73); (3, 88); (4, 101); (5, 125), (6, 151); (7, 174). All coordinates are approximate. D.

A scatterplot has a horizontal axis labeled from 0 to 10 in increments of 1 and a vertical axis labeled from 0 to 200 in increments of 20. The following points are plotted: (4, 59); (5, 73); (6, 88); (7, 101); (8, 125), (9, 151); (10, 174). All coordinates are approximate. Your answer is correct. Part 2 Use quadratic regression to find a function that models the data. ​f(x)equals    enter your response here ​(Use integers or decimals for any numbers in the equation. Round to three decimal places as​ needed.)