Find x, and y. Then find the equation of the least-squares line = a + bx.
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 | 32 | 48 | 28 | 50 | 25 |
| y | 2 | 3 | 6 | 5 | 9 | 3 |
Complete parts (a) through (e), given Σx = 196, Σy = 28, Σx2 = 7406, Σy2 = 164, Σxy = 1075, and r ≈ 0.877.
(c) Find x, and y. Then find the equation of the least-squares line = 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 | = | |
| y | = | |
| = | + x |
(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 = | |
| explained | % |
| unexplained | % |
(f) For a neighborhood with x = 30 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs
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