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 9.6 9.8 8.0 8.3 8.7 y 9.8 18.0 20.0 10.2 11.4 13.1 Complete parts (a) through (e), given Σx = 53.4, Σy = 82.5, Σx2 = 477.78, Σy2 = 1225.65, Σxy = 747.19, and r ≈ 0.853.(a) Draw a scatter diagram displaying the data.

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(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r =
(c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r2. 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 r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained     % unexplained     %
(f) Suppose a small city in Oregon has a per capita income of 8.6 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

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