MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). 13 34 52 28 50 25 2 6 3 6 n USE SALT Complete parts (a) through (e), given Ex = 202, Ey - 27, Ex? = 7938, Ey? = 159, Exy = 1071, and r 0.7844. (a) Draw a scatter diagram displaying the data. 50 용 40 30 20 30 40 8. 9 x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 30 ntry-level jobs (in hundreds)) y (number of entry-level jobs (in hundreds) of entry-level jobs (in hundreds)) y(number of entry-level jobs (in hundreds))

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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(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 =
202
Ey
27
%3D
Ex?
1071
Ey?
= 7938
Exy = 159
r =
0.7844
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)
X =
33.6667
y
4.5000
-0.2954
+ 0.1424
%3D
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
8
5
20
30
40
50
30
40
50
x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
50
50
40
20
40
evel jobs (in hundreds))
y (number of entry-level jobs (in hundreds))
1 jobs (in hundreds))
2.
3.
4,
y (number of entry-level jobs (in hundreds))
Transcribed Image Text:(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 = 202 Ey 27 %3D Ex? 1071 Ey? = 7938 Exy = 159 r = 0.7844 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) X = 33.6667 y 4.5000 -0.2954 + 0.1424 %3D (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 8 5 20 30 40 50 30 40 50 x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 50 50 40 20 40 evel jobs (in hundreds)) y (number of entry-level jobs (in hundreds)) 1 jobs (in hundreds)) 2. 3. 4, y (number of entry-level jobs (in hundreds))
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six
Denver neighborhoods gave the following information (units in hundreds of jobs).
13
34
52
28
50
25
y
2
9
A USE SALT
Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex = 7938, Ey = 159, Exy = 1071, and r 0.7844.
%3D
%3D
%3D
(a) Draw a scatter diagram displaying the data.
50
8
3
20
30
40
50
4
7
8.
x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
50
8
40
30
2.
40
30
20
y (number of entry-level jobs (in hundreds))
of entry-level jobs (in hundreds))
3.
4.
y (number of entry-level jobs (in hundreds))
entry-level jobs (in hundreds)
Transcribed Image Text:MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). 13 34 52 28 50 25 y 2 9 A USE SALT Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex = 7938, Ey = 159, Exy = 1071, and r 0.7844. %3D %3D %3D (a) Draw a scatter diagram displaying the data. 50 8 3 20 30 40 50 4 7 8. x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 50 8 40 30 2. 40 30 20 y (number of entry-level jobs (in hundreds)) of entry-level jobs (in hundreds)) 3. 4. y (number of entry-level jobs (in hundreds)) entry-level jobs (in hundreds)
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