Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x represent the average annual hours per person spent in traffic delays and let y represent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data. x (hr) Y (gal) 26 5 21 38 47 3 31 55 35 36 28 9 18 24 18 A USE SALT (a) Draw a scatter diagram for the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit ts properties. Fa WebAssign. Graching Tool Verify that Er = 155, E2 - 3835, Ey = 244, Ey? = 9590, and Exy = 6021. Compute r. (Round your answer to four decimal places.) The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person. 22 4 22 40 16 25 2 38 x (hr) y (gal) 21 31 4 72 (b) Compute x and y for both sets of data pairs and compare the averages. (Round your answers to four decimal places.) 61 8 15 52 Data 1 Data 2 Compute the sample standard deviations s, and s, for both sets of data pairs and compare the standard deviations. (Round your answers to four decimal places.) Data 1 Data 2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Topic Video
Question
30
25
Ne
Solutien
20
15
10
WebAssign. Graphing Tool
Verify that Ex = 155, Ex2 - 3835, Ey - 244, Ey2 = 9590, and Exy - 6021.
Compute r. (Round your answer to four decimal places.)
The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in
traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city
and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person.
x (hr)
22 4 22 40 16 25 2 38
Y (gal) 61
8 15 52 21 31 4 72
(b) Compute x and y for both sets of data pairs and compare the averages. (Round your answers to four decimal places.)
Data 1
Data 2
Compute the sample standard deviations s, and s, for both sets of data pairs and compare the standard deviations.
(Round your answers to four decimal places.)
Data 1
Data 2
In which set are the standard deviations for x and y larger?
O The standard deviations for x and y are larger for the first set of data.
O The standard deviations for x and y are larger for the second set of data.
O The standard deviations for x and y are the same for both sets of data.
Look at the defining formula for r. Why do smaller standard deviations s, and s, tend to increase the value of r?
O Multiplying by smaller numbers results in a larger value.
O Dividing by smaller numbers results in a larger value.
Dividing by smaller numbers results in a smaller value.
O Multiplying by smaller numbers results in a smaller value.
(c) Make a scatter diagram for the second set of data pairs.
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.
60
46
40
36
Ne
Solutien
30
25
20
16
40
Help
WebAssign. Graphing Tool
Verify that Ex = 169, Ex? - 4913, Ey - 264, Ey2 - 13,316, and Exy - 7639.
Compute r. (Round your answer to four decimal places.)
(d) Compare r from part (a) with r from part (b). Do the data for averages have a higher correlation coefficient than the
data for individual measurements?
O Yes, the data for averages have a higher correlation coefficient than the data for individual measurements.
O No, the data for averages do not have a higher correlation coefficient than the data for individual measurements.
List some reasons why you think hours lost per individual and fuel wasted per individual might vary more than the same
quantities averaged over all the people in a city.
Transcribed Image Text:30 25 Ne Solutien 20 15 10 WebAssign. Graphing Tool Verify that Ex = 155, Ex2 - 3835, Ey - 244, Ey2 = 9590, and Exy - 6021. Compute r. (Round your answer to four decimal places.) The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person. x (hr) 22 4 22 40 16 25 2 38 Y (gal) 61 8 15 52 21 31 4 72 (b) Compute x and y for both sets of data pairs and compare the averages. (Round your answers to four decimal places.) Data 1 Data 2 Compute the sample standard deviations s, and s, for both sets of data pairs and compare the standard deviations. (Round your answers to four decimal places.) Data 1 Data 2 In which set are the standard deviations for x and y larger? O The standard deviations for x and y are larger for the first set of data. O The standard deviations for x and y are larger for the second set of data. O The standard deviations for x and y are the same for both sets of data. Look at the defining formula for r. Why do smaller standard deviations s, and s, tend to increase the value of r? O Multiplying by smaller numbers results in a larger value. O Dividing by smaller numbers results in a larger value. Dividing by smaller numbers results in a smaller value. O Multiplying by smaller numbers results in a smaller value. (c) Make a scatter diagram for the second set of data pairs. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. 60 46 40 36 Ne Solutien 30 25 20 16 40 Help WebAssign. Graphing Tool Verify that Ex = 169, Ex? - 4913, Ey - 264, Ey2 - 13,316, and Exy - 7639. Compute r. (Round your answer to four decimal places.) (d) Compare r from part (a) with r from part (b). Do the data for averages have a higher correlation coefficient than the data for individual measurements? O Yes, the data for averages have a higher correlation coefficient than the data for individual measurements. O No, the data for averages do not have a higher correlation coefficient than the data for individual measurements. List some reasons why you think hours lost per individual and fuel wasted per individual might vary more than the same quantities averaged over all the people in a city.
Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x
represent the average annual hours per person spent in traffic delays and let y represent the average annual gallons of fuel
wasted per person in traffic delays. A random sample of eight cities showed the following data.
x (hr) 26
21 38
18 24 18 5
35 36 28 9
Y (gal) 47 3 31
55
A USE SALT
(a) Draw a scatter diagram for the data.
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties
45
Fll
40
36
30
25
Solutien
20
45
10
15
20
WebAssign. Graphing Tool
Verify that Ex = 155, Ex? - 3835, Ey = 244, Ey? - 9590, and Exy = 6021
.
Compute r. (Round your answer to four decimal places.)
The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in
traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city
and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person.
16 25 2 38
x (hr) 22
Ly (gal) 61
4 22
40
8 15
52 21 31 4 72
(b) Compute x and y for both sets of data pairs and compare the averages. (Round your answers to four decimal places.)
Data 1
Data 2
Compute the sample standard deviations s, and sy for both sets of data pairs and compare the standard deviations.
(Round your answers to four decimal places.)
Sy
Data 1
Data 2
In which set are the standard deviations for x and y larger?
O The standard deviations for x and y are larger for the first set of data.
O The standard deviations for x and y are larger for the second set of data.
O
The standard deviations for x and y are the same for both sets of data.
Look at the defining formula for r. Why do smaller standard deviations s, and s, tend to increase the value of r?
O Multiplying by smaller numbers results in a larger value.
O Dividing by smaller numbers results in a larger value.
O Dividing by smaller numbers results in a smaller value.
Multiplying by smaller numbers results in a smaller value.
(c) Make a scatter diagram for the second set of data pairs
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.
60
45
40
35
30
Saleen
olution
2s
20
46
10
20
25
30
36
40
NO>•
Transcribed Image Text:Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x represent the average annual hours per person spent in traffic delays and let y represent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data. x (hr) 26 21 38 18 24 18 5 35 36 28 9 Y (gal) 47 3 31 55 A USE SALT (a) Draw a scatter diagram for the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties 45 Fll 40 36 30 25 Solutien 20 45 10 15 20 WebAssign. Graphing Tool Verify that Ex = 155, Ex? - 3835, Ey = 244, Ey? - 9590, and Exy = 6021 . Compute r. (Round your answer to four decimal places.) The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person. 16 25 2 38 x (hr) 22 Ly (gal) 61 4 22 40 8 15 52 21 31 4 72 (b) Compute x and y for both sets of data pairs and compare the averages. (Round your answers to four decimal places.) Data 1 Data 2 Compute the sample standard deviations s, and sy for both sets of data pairs and compare the standard deviations. (Round your answers to four decimal places.) Sy Data 1 Data 2 In which set are the standard deviations for x and y larger? O The standard deviations for x and y are larger for the first set of data. O The standard deviations for x and y are larger for the second set of data. O The standard deviations for x and y are the same for both sets of data. Look at the defining formula for r. Why do smaller standard deviations s, and s, tend to increase the value of r? O Multiplying by smaller numbers results in a larger value. O Dividing by smaller numbers results in a larger value. O Dividing by smaller numbers results in a smaller value. Multiplying by smaller numbers results in a smaller value. (c) Make a scatter diagram for the second set of data pairs Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. 60 45 40 35 30 Saleen olution 2s 20 46 10 20 25 30 36 40 NO>•
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