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). given Σx = 196, Σy = 27, Σx2 = 7478, Σy2 = 161, Σxy = 1068, and r ≈ 0.9025. x 13 30 50 28 50 25 y 1 3 6 5 9 3 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. 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____ % For a neighborhood with x = 37 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) ___ hundred jobs
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). given Σx = 196, Σy = 27, Σx2 = 7478, Σy2 = 161, Σxy = 1068, and r ≈ 0.9025. x 13 30 50 28 50 25 y 1 3 6 5 9 3 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. 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____ % For a neighborhood with x = 37 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) ___ hundred jobs
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).
given Σx = 196, Σy = 27, Σx2 = 7478, Σy2 = 161, Σxy = 1068, and r ≈ 0.9025.
x | 13 | 30 | 50 | 28 | 50 | 25 |
---|---|---|---|---|---|---|
y | 1 | 3 | 6 | 5 | 9 | 3 |
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.
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____ %
For a neighborhood with x = 37 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
___ hundred jobs
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