Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y. 8.7 9.4 10.0 8.0 8.3 8.7 9.7 18.6 21.0 10.2 11.4 13.1 Complete parts (a) through (e) after verifying that Ex = 53.1, y = 84, Ex² = 472.63, Ey² = 1,286.66, Exy = 759.42, and r = 0.9277. (a) Draw a scatter diagram displaying the data. y (number of medical doctors (per 10,000 residents)) 20 18 16 14 10 8.0 8.5 9.0 9.5 x (per capita income (in thousands of dollars)) 10.0 y (number of medical doctors (per 10,000 residents)) 10.0 9.5 9.0 8.5 8.0 10 12 14 16 18 20 x (per capita income (in thousands of dollars)) (b) Find x (in thousands of dollars). (Round your answer to four decimal places.) thousand Find y (per 10,000 residents). (Round your answer to four decimal places.) y= M.D.s per 10,000 residents Find the equation of the least-squares line ŷ = a + bx. (Round your numerical values to four decimal places.) (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 10.0 y (number of medical doctors per 10,000 residents)) 9.5 9.0 8.5 8.0 10 12 14 16 18 20 x (per capita income (in thousands of dollars)) y (number of medical doctors per 10,000 residents)) 10.0 9.5 9.0 8.5 8.0F 10 (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) 2 12 14 16 18 20 x (per capita income (in thousands of dollars)) What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % y (number of medical doctors (per 10,000 residents)) y (number of medical doctors (per 10,000 residents)) 101 20 18 10.0 9.5 9.0 8.5 8.0 10 12 16 18 20 x(per capita income (in thousands of dollars)) 8.0 8.5 9.0 9.5 10.0 x(per capita income (in thousands of dollars)) (e) Suppose a small city in Oregon has a per capita income of 9.2 thousand dollars. What is the predicted number of M.D.s per 10,000 residents? (Round your answer to two decimal places.) M.D.s per 10,000 residents རྩྭ་ལྷཎྜ་ལྒ་སྐེ་སྐ 20 18 16 14 y (number of medical doctors (per 10,000 residents)) y (number of medical doctors (per 10,000 residents)) 20 དྷ་ལྷ་སྐེ་ག་ ྴ ཋ 16 14 12 10 8.0 10 8.5 9.0 9.5 x (per capita income (in thousands of dollars)) 8.5 9.0 9.5 x (per capita income (in thousands of dollars)) 10.0 10.0