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 23.8 19.1 17.5 14.9 19.0 17.5 y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.) x = y = y hat = _____+ ____x
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 23.8 19.1 17.5 14.9 19.0 17.5 y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.) x = y = y hat = _____+ ____x
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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 23.8 19.1 17.5 14.9 19.0 17.5
y 12.9 4.5 9.5 1.3 0.8 3.6
a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample
Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r =
b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.)
x =
y =
y hat = _____+ ____x
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