An econemist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborheod, 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). 34 so
An econemist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborheod, 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). 34 so
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
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 = 35 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs
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).
x 13 34 s0 28 5o 25
A USE SALT
Complete parts (a) through (e), given Ex - 200, Ey - 29, Er - 7734, 2y? - 177, Exy - 1143, and r0.8893.
(a) Draw a scatter diagram displaying the data.
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(b) Verify the given sums Ex, Ey, , Ey, Exy, and the value of the sample correlation coefficentr. (Round your value for r to four decimal places.)
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(c) Find x, and y. Then find the equation of the least-squares line p -a + bx. (Round your answers to four decimal places.)
y -
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
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(e) Find the value of the coefficient of determination . 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 f to four decimal places. Round your answers for the percentages to two decimal place.)
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