Economics: Entry-Level 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 follow- ing information (units in hundreds of jobs). X 16 33 50 28 50 25 y 2 3 6 5 9 3 Source: Neighborhood Facts, The Piton Foundation. To find out more, visit the Piton Foundation web site. Complete parts (a) through (e), given Ex = 202, Ey= 28, Ex² = 7754, Ey² = 164, Exy = 1096, and r = 0.860. (f) For a neighborhood with x = 40 jobs, how many are predicted to be entry-level jobs?

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Please answer number 7. Make sure to show work! Thanks!
7. Economics: Entry-Level 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 follow-
ing information (units in hundreds of jobs).
X
33
50
50
y
3
6
9
Source: Neighborhood Facts, The Piton Foundation. To find out more, visit the Piton Foundation web site.
16
2
X
Complete parts (a) through (e), given Ex= 202, Ey= 28, Ex² = 7754,
Ey² = 164, Exy = 1096, and r = 0.860.
(f) For a neighborhood with x = 40 jobs, how many are predicted to be
entry-level jobs?
y
8. | Ranching: Cattle You are the foreman of the Bar-S cattle ranch in Colorado.
A neighboring ranch has calves for sale, and you are going to buy some to
add to the Bar-S herd. How much should a healthy calf weigh? Let x be the
age of the calf (in weeks), and let y be the weight of the calf (in kilograms).
The following information is based on data taken from The Merck Veterinary
Manual (a reference used by many ranchers).
1
42
28
5
3
50
10
75
25
3
16
100
26
150
36
200
Complete parts (a) through (e), given Ex = 92, Ey = 617, Ex² = 2338,
Ey² = 82,389, Exy = 13,642, and r = 0.998.
(f) The calves you want to buy are 12 weeks old. What does the least-squares
line predict for a healthy weight?
Transcribed Image Text:7. Economics: Entry-Level 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 follow- ing information (units in hundreds of jobs). X 33 50 50 y 3 6 9 Source: Neighborhood Facts, The Piton Foundation. To find out more, visit the Piton Foundation web site. 16 2 X Complete parts (a) through (e), given Ex= 202, Ey= 28, Ex² = 7754, Ey² = 164, Exy = 1096, and r = 0.860. (f) For a neighborhood with x = 40 jobs, how many are predicted to be entry-level jobs? y 8. | Ranching: Cattle You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). The following information is based on data taken from The Merck Veterinary Manual (a reference used by many ranchers). 1 42 28 5 3 50 10 75 25 3 16 100 26 150 36 200 Complete parts (a) through (e), given Ex = 92, Ey = 617, Ex² = 2338, Ey² = 82,389, Exy = 13,642, and r = 0.998. (f) The calves you want to buy are 12 weeks old. What does the least-squares line predict for a healthy weight?
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