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).x173052285025y237593 Complete parts (a) through (e), given Σx = 202, Σy = 29, Σx2 = 7802, Σy2 = 177, Σxy = 1153, and r ≈ 0.9199. (b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Ex =202Ey29%3DEx?%DEy2%3DExy%3D(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)X =%3D(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.50845740355302520202530354045503 47x (total number of jobs (in hundreds))x (total number of jobs (in hundreds))504540353.y (number of entry-level jobs (in hundreds))ntry-level jobs (in hundreds))COX X x X2.30IIIIy (number of entry-level jobs (in hundreds))ntry-level jobs (in hundreds)) webassign.net/web/Student/Assignment-Responses/submit?dep=28174037&tags=autosave#question5011750_7403530252034 579.253035404550x (total number of jobs (in hundreds))x (total number of jobs (in hundreds))504540353025206202530354045503 4 5789.x (total number of jobs (in hundreds))x (total number of jobs (in hundreds))(e) 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 rto four decimal places. Round your answers for the percentages to two decimal place.)12%3D%explained%unexplained(f)For a neighborhood with x = 37 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)hundred jobsSubmit Answer>...+202.3.y (number of entry-level jobs (in hundreds))y (number of entry-level jobs2.y (number of entry-level jobs (in hundreds))y (number of entry-level jobs (

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西☆ * X (total number of jobs (in hundreds)) x (total number of jobs 30 35 40 45 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 entry-level jobs i y (number of entry-level jobs (in hundreds)) y(number of entry-level jobs

西☆ * X (total number of jobs (in hundreds)) x (total number of jobs 30 35 40 45 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 entry-level jobs i y (number of entry-level jobs (in hundreds)) y(number of entry-level jobs

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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x	17	30	52	28	50	25
y	2	3	7	5	9	3

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