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 14 31 48 28 50 25
y 2 3 7 5 9 3
Complete parts (a) through (e), given Σx = 196, Σy = 29, Σx2 = 7370, Σy2 = 177, Σxy = 1122, and r ≈ 0.925.

(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r =

(c) Find x, and y. Then find the equation of the least-squares line ^y = 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 =
^y =  + x=

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(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 = 43 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs

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