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). x 13 32 52 28 50 25 y 1 2 7 5 9 3 Complete parts (a) through (e), given Σx = 200, Σy = 27, Σx2 = 7806, Σy2 = 169, Σxy = 1106, and r ≈ 0.8855. (a) Draw a scatter diagram displaying the data. Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx= Σy= Σx2= Σy2= Σxy= r= Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) x=
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). x 13 32 52 28 50 25 y 1 2 7 5 9 3 Complete parts (a) through (e), given Σx = 200, Σy = 27, Σx2 = 7806, Σy2 = 169, Σxy = 1106, and r ≈ 0.8855. (a) Draw a scatter diagram displaying the data. Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx= Σy= Σx2= Σy2= Σxy= r= Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) x=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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).
| x | 13 | 32 | 52 | 28 | 50 | 25 |
|---|---|---|---|---|---|---|
| y | 1 | 2 | 7 | 5 | 9 | 3 |
Complete parts (a) through (e), given Σx = 200, Σy = 27, Σx2 = 7806, Σy2 = 169, Σxy = 1106, and r ≈ 0.8855.
(a) Draw a
Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample
Σx=
Σy=
Σx2=
Σy2=
Σxy=
r=
Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)
x=
y=
ŷ= + x
Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
(e)
Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)
r2=
explained %
unexplained %
(f) For a neighborhood with x = 43 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
= hundred jobs
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