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). x 13 30 50 28 50 25 y 1 4 5 5 9 3   Complete parts (a) through (e), given Σx = 196, Σy = 27, Σx2 = 7478, Σy2 = 157, Σxy = 1048, and r ≈ 0.8496.   (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)   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 r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2=explained %unexplained %   For a neighborhood with x = 45 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).
x 13 30 50 28 50 25
y 1 4 5 5 9 3
 
Complete parts (a) through (e), given Σx = 196, Σy = 27, Σx2 = 7478, Σy2 = 157, Σxy = 1048, and r ≈ 0.8496.
 
(c)
Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)
 
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 r2 to four decimal places. Round your answers for the percentages to two decimal place.)
r2=explained %unexplained %
 
For a neighborhood with x = 45 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
 hundred jobs
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