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 9.2...

(a) Draw a scatter diagram displaying the data.


(b) Verify the given sums Σx, Σy, Σx
², Σy
², Σxy, and the value of the sample correlation coefficientr. (Round your value forr to three decimal places.)

Σx =
Σy =
Σx 2 =
Σy 2 =
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 fora andb 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 determinationr
². What percentage of the variation iny can beexplained by the corresponding variation inx and the least-squares line? What percentage isunexplained? (Round your answer forr
² to three decimal places. Round your answers for the percentages to one decimal place.)

r 2 =
explained	%
unexplained	%

(f) Suppose a small city in Oregon has a per capita income of 9.3 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