An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). 13 30 52 28 50 25 y 3 4 5 3 Verify the given sums Ex, Ey, Ex², Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σχ = Ey = Ex? %3D Ey? = Σχy - r = Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) y = 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 r to four decimal places. Round your answers for the percentages to two decimal place.) explained % unexplained % For a neighborhood with x = 31 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs

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An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the
same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs).
13
30
52
28
50
25
y
3
4
7
5
9.
Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Ex =
Ey
%3D
Ex?
%3D
Ey?
Σχy
%3D
r =
Find x, and y. Then find the equation of the least-squares line ŷ
= a + bx. (Round your answers to four decimal places.)
x =
y =
%3D
+
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 r to four decimal places.
ind your answers for the percentages
two decimal place.)
explained
%
unexplained
For a neighborhood with x = 31 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs
云为
Transcribed Image Text:An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). 13 30 52 28 50 25 y 3 4 7 5 9. Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey %3D Ex? %3D Ey? Σχy %3D r = Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) x = y = %3D + 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 r to four decimal places. ind your answers for the percentages two decimal place.) explained % unexplained For a neighborhood with x = 31 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs 云为
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