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 24.3 y 13.0 19.2 18.3 14.9 17.5 19.0 0.8 4.6 9.1 1.3 3.6 A USE SALT Complete parts (a) through (e), given Ex = 113.2, Ey 32.4, Ex - 2183.28, Ey?- 288.26, Exy - 668.32, and r 0.7769. (a) Draw a scatter diagram displaying the data. 24 12 22 10 20 18 16 4. 6. 10 12 16 18 20 22 24 x (in percent) x (in percent) 12 24 10 22 8. 20 18 16 16 18 20 22 24 2 6. 8. 10 12 x (in percent) 4. x (in percent) y(violent crimes (per 1000 residents)) y(violent crimes (per 1000 residents)) y (violent crimes (per 1000 residents)) y (violent crimes (per 1000 residents))
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 24.3 y 13.0 19.2 18.3 14.9 17.5 19.0 0.8 4.6 9.1 1.3 3.6 A USE SALT Complete parts (a) through (e), given Ex = 113.2, Ey 32.4, Ex - 2183.28, Ey?- 288.26, Exy - 668.32, and r 0.7769. (a) Draw a scatter diagram displaying the data. 24 12 22 10 20 18 16 4. 6. 10 12 16 18 20 22 24 x (in percent) x (in percent) 12 24 10 22 8. 20 18 16 16 18 20 22 24 2 6. 8. 10 12 x (in percent) 4. x (in percent) y(violent crimes (per 1000 residents)) y(violent crimes (per 1000 residents)) y (violent crimes (per 1000 residents)) y (violent crimes (per 1000 residents))
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text: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.
24.3
19.2
18.3
14.9
19.0
17.5
y
13.0
4.6
9.1
1.3
0.8
3.6
n USE SALT
Complete parts (a) through (e), given Ex =
113.2, Σy- 32.4, Σx-2183.28, Σy288.26, Σχy
668.32, and r 0.7769.
%3D
%D
%3D
(a) Draw a scatter diagram displaying the data.
24
12
22
10
8
20
18
16
4
8
10
12
16
18
20
22
24
x (in percent)
x (in percent)
12
24
10
22
20
18
2
16
16
18
20
22
24
10
12
x (in percent)
x (in percent)
MacBook Pro
y(violent crimes (per 1000 residents))
y (violent crimes (per 1000 residents))
y (violent crimes (per 1000 residents))
y (violent crimes (per 1000 residents))
2)
4-
Transcribed Image Text:(b) Verify the given sums Ex, £y, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Σχ
%3D
Σy -
Ex? =
%3D
Ey? =
Σχy
%3D
r =
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.)
X =
y =
%3D
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
12
22
10
8.
18
16
8
10
12
16
18
20
22
24
x (in percent)
x (in percent)
12
10
22
8.
4
18
16
2.
y (violent crimes (per 1000 residents))
y (violent crimes (per 1000 residents))
2)
24
20
24
20
II I|
y (violent crimes (per 1000 residents))
violent crimes (per 1000 residents))
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