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. x 9.0 Ly 9.6...

Extracted text: 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. x 9.0 Ly 9.6 9.6 18.9 20.0 8.3 8.7 11.4 13.1 9.8 8.0 10.2 A USE SALT Complete parts (a) through (e), given Ex = 53.4, Ey = 83.2, Ex? - 477.78, Ey² = 1254.98, Exy = 754.03, and r= 0.8482. (a) Draw a scatter diagram displaying the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its 20 properties. F 16 15 14 No Solutien 12 11 10 WebAssign. Graching Tool (b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex - Ey = Ex? - Ey - Exy = (c) Find x, and y. Then find the equation of the least-squares line ŷ - a+ bx. (Round your answer to four decimal places.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 10아 100 50 50 6 10 2 4 10 O-30 -5아 -5아 y 100 100- 50 5아 2 6 10 6 10 o-50 o-30 (e) Find the value of the coefficient of determination r. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for to four decimal places. Round your answers for the percentages to two decimal place.) 2. explained unexplained (f) Suppose a small city in Oregon has a per capita income of 9.9 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