3. 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 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: 24.2 19.0 18.2 14.9 91.0 17.5 Y 13.0 4.4 9.3 1.3 0.8 3.6 a) Draw a scatter diagram displaying the data. b) Find correlation coefficient r. c) Find the equation of the least -squares line. d) Use the least-squares line to predict the violent crime rate per 1000 residents for a city that has 24% of 16-to-19 year olds not in school and not high school graduates.

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3. 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 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:
24.2
19.0
18.2
14.9
91.0
17.5
Y
13.0
4.4
9.3
1.3
0.8
3.6
a) Draw a scatter diagram displaying the data.
b) Find correlation coefficient r.
c) Find the equation of the least -squares line.
d) Use the least-squares line to predict the violent crime rate per
1000 residents for a city that has 24% of 16-to-19 year olds not in
school and not high school graduates.
Transcribed Image Text:3. 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 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: 24.2 19.0 18.2 14.9 91.0 17.5 Y 13.0 4.4 9.3 1.3 0.8 3.6 a) Draw a scatter diagram displaying the data. b) Find correlation coefficient r. c) Find the equation of the least -squares line. d) Use the least-squares line to predict the violent crime rate per 1000 residents for a city that has 24% of 16-to-19 year olds not in school and not high school graduates.
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