(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
(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
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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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))
@
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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