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. 13184 Denver neighborhoods gave the following information (units in hundreds of jobs). 17 30 52 28 50 25 3 5 9 3 A USE SALT Complete parts (a) through (e), given Ex = 202, Ey = 29, E - 7802, Ey? - 177, Exy - 1153, and r 0.9199. (a) Draw a scatter diagram displaying the data. jobs (in hundreds)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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ep%3D28174037&elSBN=9781337713184
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).
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3
n USE SALT
Complete parts (a) through (e), given Ex = 202, Ey = 29, Ex = 7802, Ey = 177, Exy = 1153, and r 0.9199.
%3D
%3D
(a) Draw a scatter diagram displaying the data.
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X (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
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imber of entry-level jobs (in hundreds))
y (number of entry-level jobs (in hundreds))
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number of entry-level jobs (in hundreds))
y (number of entry-level jobs (in hundreds))
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Transcribed Image Text:ep%3D28174037&elSBN=9781337713184 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). 17 30 52 28 50 25 9. 3 n USE SALT Complete parts (a) through (e), given Ex = 202, Ey = 29, Ex = 7802, Ey = 177, Exy = 1153, and r 0.9199. %3D %3D (a) Draw a scatter diagram displaying the data. 20 25 30 35 40 45 50 25 30 35 40 45 50 X (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) 50 50 45 45 40 40 35 35 30 30 25 imber of entry-level jobs (in hundreds)) y (number of entry-level jobs (in hundreds)) 20 25 number of entry-level jobs (in hundreds)) y (number of entry-level jobs (in hundreds)) 20 20
în hundreds))
x (total number of jobs (in hundreds))
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x (total number of jobs (in hundreds))
x (total number of jobs (in hundreds))
(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=
Ey
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Σχ2
Ey?
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Exy
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r =
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)
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(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
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in hundreds))
y (number of entry-level jobs (in hundreds))
(in hundreds))
y (number of entry-level jobs (in hundreds))
Transcribed Image Text:în hundreds)) x (total number of jobs (in hundreds)) 50 50 45 45 40 40 35 35 30 30 25 25 20 20 3 4 6. 7 8. 9. 2 4. 6. 7 8 9. x (total number of jobs (in hundreds)) x (total number of jobs (in hundreds)) (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= Ey %3D Σχ2 Ey? %3D Exy %3D r = (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) + (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 8 45 in hundreds)) y (number of entry-level jobs (in hundreds)) (in hundreds)) y (number of entry-level jobs (in hundreds))
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