An economist is studying the job market in Denver areaneighborhoods. Let x represent the total number of jobs in a givenneighborhood, and let y represent the number of entry-level jobs inthe same neighborhood. A sample of six Denver neighborhoods gavethe following information (units in hundreds of jobs). x 17 35 5328 50 25 y 2 4 6 5 9 3 Complete parts (a) through (e), given Σx =208, Σy = 29, Σx2 = 8232, Σy2 = 171, Σxy = 1157, and r ≈ 0.855. (a)Draw a scatter diagram displaying the data. (b) Verify the givensums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlationcoefficient r. (Round your value for r to three decimal places.) Σx= Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find theequation of the least-squares line y hat = a + bx. (Round youranswers for x and y to two decimal places. Round your answers for aand b to three decimal places.) x = y = y hat = + x (d) Graph theleast-squares line. Be sure to plot the point (x, y) as a point onthe line. WebAssign Plot WebAssign Plot WebAssign Plot WebAssignPlot (e) Find the value of the coefficient of determination r2.What percentage of the variation in y can be explained by thecorresponding variation in x and the least-squares line? Whatpercentage is unexplained? (Round your answer for r2 to threedecimal places. Round your answers for the percentages to onedecimal place.) r2 = explained % unexplained % (f) For aneighborhood with x = 30 hundred jobs, how many are predicted to beentry level jobs? (Round your answer to two decimal places.)hundred jobs
