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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
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 35 48 28 50 25 y 2 3 7 5 9 3 Complete parts (a) through (e), given x = 199, y = 29, x2 = 7607, y2 = 177, xy = 1132, and r 0.884 (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 = y = x2 = y2 = xy = r = (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers for x and yto two decimal places. Round your answers for a and b to three decimal places.) x-bar= ______ y-bar= ______ y-hat= + __________ x (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explainedby 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 = _________ explained ______ % unexplained ______ % (f) For a neighborhood with x = 35 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) __________ hundred jobs
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