(b) Find x, and y, the sample means. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.) y = 9 = (d) Find the value of the coefficient of determination 2. 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 2 to four decimal places. Round your answers for the percentages to two decimal places.) 2 = explained unexplained (d) For a neighborhood with x = 33 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs

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Chapter1: Starting With Matlab
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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 15 30 52 28
y 2
y (number of entry-level jobs (in hundreds))
Complete parts (a) through (d), given the following sums: Ex=200, y = 27, Ex² = 7738, Ey² = 153, Exy = 1045. And the given correlation, r = 0.7893.
(a) Draw a scatter diagram displaying the data.
of entry-level jobs (in hundreds))
50
2
15 20 25
45
40
35
28 50
50 25
3 5 59 3
30
25
30
35
40
x (total number of jobs (in hundreds))
45
50
y (number of entry-level jobs (in hundreds))
50
45
r of entry-level jobs (in hundreds))
40
35
30
25
20
15
2
3
7 8
4
5
6
x (total number of 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). X 15 30 52 28 y 2 y (number of entry-level jobs (in hundreds)) Complete parts (a) through (d), given the following sums: Ex=200, y = 27, Ex² = 7738, Ey² = 153, Exy = 1045. And the given correlation, r = 0.7893. (a) Draw a scatter diagram displaying the data. of entry-level jobs (in hundreds)) 50 2 15 20 25 45 40 35 28 50 50 25 3 5 59 3 30 25 30 35 40 x (total number of jobs (in hundreds)) 45 50 y (number of entry-level jobs (in hundreds)) 50 45 r of entry-level jobs (in hundreds)) 40 35 30 25 20 15 2 3 7 8 4 5 6 x (total number of jobs (in hundreds)) @
(b) Find x, and y, the sample means. Then find the equation of the least-squares line ý = a + bx. (Round your answers to four decimal places.)
X =
y =
ŷ
(d) Find the value of the coefficient of determination 2. 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 2 to four decimal places. Round your answers for the percentages to two decimal places.)
2-
explained
unexplained
%
%
(d) For a neighborhood with x = 33 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
hundred jobs
Transcribed Image Text:(b) Find x, and y, the sample means. Then find the equation of the least-squares line ý = a + bx. (Round your answers to four decimal places.) X = y = ŷ (d) Find the value of the coefficient of determination 2. 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 2 to four decimal places. Round your answers for the percentages to two decimal places.) 2- explained unexplained % % (d) For a neighborhood with x = 33 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs
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