Let x be the percentage of 16- to 19-years-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 Doraod, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y. X 24.1 19.4 18.5 14.9 19.0 17.5 Y 12.9 4.8 9.0 1.3 0.8 3.6 Given Σx=113.4 Σy=32.4 Σx2=2188.68 Σy2=285.74 Σxy= 668.08 r= .7855 A) find x and y. Then find the equation of the least squares line y=a+bx. (Round your answer to four decimal places) x= y= y=__+__x b) Find the value of the coefficient of determination r2. 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 r2 to four decimal places. Round your answers for the percentages to two decimal places) r2= explained=__%unexplained=___% c) If the percentage of 16- to 19- year-olds not in school and not graduates reaches 21.8% 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

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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-years-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 Doraod, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y.
X 24.1 19.4 18.5 14.9 19.0 17.5

Y 12.9 4.8 9.0 1.3 0.8 3.6

Given Σx=113.4 Σy=32.4 Σx²=2188.68 Σy²=285.74 Σxy= 668.08 r= .7855

A) find x and y. Then find the equation of the least squares line y=a+bx. (Round your answer to four decimal places)

y=__+__x

b) Find the value of the coefficient of determination r². 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 r²to four decimal places. Round your answers for the percentages to two decimal places)

r²=

explained=__%
unexplained=___%

c) If the percentage of 16- to 19- year-olds not in school and not graduates reaches 21.8% 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

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