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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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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