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...

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).

Complete parts (a) through (e), given Σx
= 196, Σy
= 28, Σx
²
= 7406, Σy
²
= 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.)

(e) Find the value of the coefficient of determination
r
². 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
r
²
to three decimal places. Round your answers for the percentages to one decimal place.)

(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