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 17 34 50 28 50 25 y 2 4 5 5 9 3 Find the value of the coefficient of determination r2 (r squared). 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.) a) r2(r squared) = ____ b) explained percentage = ___ % unexplained percentage = ___ %
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 17 34 50 28 50 25
y 2 4 5 5 9 3
Find the value of the coefficient of determination r2 (r squared). 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.)
a) r2(r squared) = ____
b) explained percentage = ___ %
unexplained percentage = ___ %
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