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An economist is studying the job market in Denver area neighborhoods. Let xyx y represent the total number of jobs in a given neighborhood, and let 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).
13 35 52 28 50 25
1 4 5 5 9 3
(a) Find the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
r =
(b) Find the equation of the least-squares line y = a + bx. (Round your answers for a and b to three decimal places.)
y= ?+?x
(c) 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=
explained %
unexplained %
(d) For a neighborhood with x = 36 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
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