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 31 50 28 50 25 y 3 4 5 5 9 3 Complete parts (a) through (e), given x = 197, y = 29, x2 = 7539, y2 = 165, xy = 1078, and r 0.772. (a) Draw a scatter diagram displaying the data. Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 5101520253035404550556012345678910 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph LayersToggle Open/Closed Point 1 Remove This Layer Point 2 Remove This Layer Point 3 Remove This Layer Point 4 Remove This Layer Point 5 Remove This Layer Point 6 Remove This Layer Submission Data Correct: Your answer is correct. (b) Verify the given sums x, y, x2, y2, xy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) x = Correct: Your answer is correct. y = Correct: Your answer is correct. x2 = Correct: Your answer is correct. y2 = Correct: Your answer is correct. xy = Correct: Your answer is correct. r = Correct: Your answer is correct. (c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = Correct: Your answer is correct. y = Correct: Your answer is correct. y hat = Correct: Your answer is correct. + Correct: Your answer is correct. x (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Correct: Your answer is correct. (e) 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 three decimal places. Round your answers for the percentages to one decimal place.) r2 = Incorrect: Your answer is incorrect. explained Incorrect: Your answer is incorrect. % unexplained Incorrect: Your answer is incorrect. % (f) For a neighborhood with x = 42 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. hundred jobs