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.

Name: 3. The following data are based on information from the book Life in
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Description: 3. The following data are based on information from the book Life in America'sSmall Cities (by G.S. Thomas, Prometheus Books). Let x be the percentage of16-to-19-year-olds not in school and not high school graduates. Let y be thereported violent cri

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. x 24.2 18.6 17.8 14.9 19.0 17.5 y 13.0 4.6 8.8 1.3 0.8 3.6 Complete parts (a) through (e), given Σx = 112, Σy = 32.1, Σx2 = 2137.7, Σy2 = 282.89, Σxy = 654.37, and r ≈ 0.763. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (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.) x = y = = + x