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 2 5 6. 3. A 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. 20 20 30 40 50 x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) of entry-level jobs (in hundreds) y (number of entry-level jobs (in hundreds)) r of entry-level jobs (in hundreds)) ymumber of entry-level jobs (in hundreds))
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 2 5 6. 3. A 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. 20 20 30 40 50 x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) of entry-level jobs (in hundreds) y (number of entry-level jobs (in hundreds)) r of entry-level jobs (in hundreds)) ymumber 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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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 =
Σγ
Ex?
Ey?
Σχy
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)
%3D
X =
y
%D
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
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40
50
20
30
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x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
50
50
40
40
30
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3.
2.
y (number of entry-level jobs (in hundreds))
ry-level jobs (in hundreds))
20
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4)
3.
y (number of entry-level jobs (in hundreds))
level jobs (in hundreds))
Transcribed Image Text: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
2
9
3
A USE SALT
Complete parts (a) through (e), given Ex = 202, Ey = 27, Ex = 7938, Ey = 159, Exy = 1071, and r 0.7844.
%3D
(a) Draw a scatter diagram displaying the data.
50
8
40
5가
30
20
2b
20
30
40
50
2
3
6 7 8 9
x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
50
40
30
of entry-level jobs (in hundreds))
y (number of entry-level jobs (in hundreds))
3.
ber of entry-level jobs (in hundreds))
y (number of entry-level jobs (in hundreds))
3.
CO
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