Chapter 4.2, Problem 15P

Education: Violent Crime The following data are based on information from the book Life in America's Small Cities (by G. S. Thomas, Prometheus Books). Let x be the percentage of 16- to 19-year-olds not in school and nothigh school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blythcville, El Dorado. Hot Springs, Jonesboro. Rogers, and Russellville) reported the following information about x and y:

x	24.2	19.0	18.2	14.9	19.0	17.5
y	13.0	4.4	9.3	1.3	0.8	3.6

Complete parts (a) through (e). given $\Sigma x=112.8,\Sigma y=32.4,\Sigma x^2=2167.14,\Sigma y^2=290.14,\Sigma xy=665.03,\text{ and }r\approx \text{0}\text{.764}$.

(f) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 24% in a similar city, what is the predicted rate of violent crimes per 1000 residents?