Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El...

Let
x
be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let
y
be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about
x
and
y.

Complete parts (a) through (e), given Σx
= 112, Σy
= 32.1, Σx
²
= 2137.7, Σy
²
= 282.89, Σxy
= 654.37, and
r
≈ 0.763.

(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) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 22.5% in a similar city, what is the predicted rate of violent crimes per 1000 residents? (Round your answer to two decimal places.)
violent crimes per 1000 residents