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))
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))
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
Related questions
Question
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))
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))
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill