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 Denver neighborhoods gave the following information (units in hundreds of jobs). 13 34 52 28 50 25 2 5 9 A USE SALT Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex = 7938, Ey? - 159, Exy 1071, andre 0.7844. (a) Draw a scatter diagram displaying the data. 20 50 4 20 x (total number of jobs (in hundreds)) X (total number of jobs (in hundreds)) y (number of entry-level jobs (in hundreds)) y (number of entrylevel jobs (in hundreds))

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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).
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34
52
28
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25
y
3
n USE SALT
Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex² = 7938, Ey2 = 159, Exy = 1071, and r 0.7844.
%3D
%3D
(a) Draw a scatter diagram displaying the data.
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x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
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CO
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number of entry-level jobs (in hundreds))
y (number of entrylevel jobs (in hundreds))
20
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er of entry-level jobs (in hundreds))
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y (number of entry-level jobs (in hundreds))
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 34 52 28 50 25 y 3 n USE SALT Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex² = 7938, Ey2 = 159, Exy = 1071, and r 0.7844. %3D %3D (a) Draw a scatter diagram displaying the data. 50 8 40 30 8 9. 30 40 50 3 4 20 x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 50 40 30 2. CO 20 number of entry-level jobs (in hundreds)) y (number of entrylevel jobs (in hundreds)) 20 2. er of entry-level jobs (in hundreds)) 3. y (number of entry-level jobs (in hundreds))
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x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
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x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
(e) Find the value of the coefficient of determination . 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.)
%3D
explained
%
unexplained
(f) For a neighborhood with x = 41 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs
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y (number of entry
y (numbs of entry-level jobs (in hundreds))
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y (number of entry
y (number of entry-level jobs (in hundreds))
Transcribed Image Text:4 2 20 30 40 50 20 30 40 50 x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 50 50 40 40 30 30 20 3 4 6 7 8. 9. 4 5 6. 7 8 9. x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) (e) Find the value of the coefficient of determination . 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.) %3D explained % unexplained (f) For a neighborhood with x = 41 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs 2) 20 4. 3. y (number of entry y (numbs of entry-level jobs (in hundreds)) 2. 3. 2. y (number of entry y (number of entry-level jobs (in hundreds))
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