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

Question
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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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 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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