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. 17.5 x 24.3 Ly 13.0 18.3 9.1 19.0 0.8 19.2 14.9 1.3 4.6 3.6 n 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. 12 18 16 20 22 24 12 16 18 y (violent crimes (per 1000 residents)) y (violent crimes (per 1000 residents))

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x (in percent)
x (in percent)
(b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Σχ
= 113.2
Ey = 32.4
Ex? = 2183.3
%3D
%3D
Ey2 = 288.3
Exy = 668.3
r = 0.604
(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 = 18.9
y = 5.4
ŷ = 1.199
X + -17.221
X X
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
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x (in percent)
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Transcribed Image Text:x (in percent) x (in percent) (b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σχ = 113.2 Ey = 32.4 Ex? = 2183.3 %3D %3D Ey2 = 288.3 Exy = 668.3 r = 0.604 (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 = 18.9 y = 5.4 ŷ = 1.199 X + -17.221 X X (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 24 12 22 10 18 4 16 4 8 10 12 16 18 20 22 24 x (in percent) x (in percent) 24 12 10 22 8 20아 CO 2. to y (violent crimes (per 1000 residents)) es (per 1000 residents)) X x X X 2. 20 CO y (violent crimes (per 1000 residents)) 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.
24.3
19.2
18.3
14.9
19.0
17.5
13.0
4.6
9.1
1.3
0.8
3.6
n USE SALT
%3D
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.
%3D
(a) Draw a scatter diagram displaying the data.
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10
22
18
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10
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18
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y (violent crimes (per 1000 residents))
2)
y (violent crimes (per 1000 residents))
2.
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y (violent crimes (per 1000 residents))
y (violent crimes (per 1000 residents))
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 13.0 4.6 9.1 1.3 0.8 3.6 n USE SALT %3D 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. %3D (a) Draw a scatter diagram displaying the data. 24 12 10 22 18 16 20 22 24 10 12 16 18 4 x (in percent) x (in percent) 12 24 10 22 18 16 20 22 24 16 18 12 x (in percent) 8. 10 6. x (in percent) 24 y (violent crimes (per 1000 residents)) 2) y (violent crimes (per 1000 residents)) 2. 20 20 y (violent crimes (per 1000 residents)) y (violent crimes (per 1000 residents))
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