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 8.7 9.7 9.8 8.0 8.3 8.7 y 9.8 18.6 20.8 10.2 11.4 13.1 Complete parts f given Σx = 53.2, Σy = 83.9, Σx2 = 474.4, Σy2 = 1280.25, Σxy = 759.71, and r ≈ 0.9303.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 four decimal places. Round your answers for the percentages to two decimal place.) r2 = .8655 explained 86.55 % unexplained 13.45 % (f) Suppose a small city in Oregon has a per capita income of 8.1 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
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 | 8.7 | 9.7 | 9.8 | 8.0 | 8.3 | 8.7 |
| y | 9.8 | 18.6 | 20.8 | 10.2 | 11.4 | 13.1 |
Complete parts f
given Σx = 53.2, Σy = 83.9, Σx2 = 474.4, Σy2 = 1280.25, Σxy = 759.71, and r ≈ 0.9303.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 four decimal places. Round your answers for the percentages to two decimal place.)
| r2 = | .8655 |
| explained | 86.55 % |
| unexplained | 13.45 % |
(f) Suppose a small city in Oregon has a per capita income of 8.1 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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