# 35 Let x be per capita income in thousands of dollars. Let y be the number...

###### Question:

35

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 8.2 9.7 9.9 8 8.3 8.7 y 10 18.7 20.2 10.2 11.4 13.1

Complete parts (a) through (e), given Σx = 52.8, Σy = 83.6, Σx2 = 467.92, Σy2 = 1263.34, Σxy = 753.56, and r ≈ 0.995.

(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

(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 r2to 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 9.5 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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