(b) Use a calculator to verify that Ex = 150.4, Ex2 = 3225.14, Ey = 244, Ey2 = 9570 and Exy = 5244.2. %3D %3D Compute r. (Round your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The
surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable
that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of
burglaries in a year on the university campus. A random sample of n- 8 universities in California gave the following information
about enrollments and annual burglary incidents.
x 12.1| 28.0
24.5 14.3
7.5 27.7 16.2 20.1
y 28
69
39
23
15
30
15
25
A USE SALT
(a) Make a scatter diagram of the data. Then visualize the line you think best fits the data.
25
6 20
15
10
20
30
40
50
60
70
x (student enrollment (in thousands))
20
15
10
20
30
40
50
60
70
x(student enrollment (in thousands))
70f.
60
50
40
30
> 20
10
15
20
25
x (student enrollment (in thousands))
70
60
50
40
30
20
10
15
20
25
x (student enrollment (in thousands))
(b) Use a calculator to verify that Ex = 150.4, Ex? = 3225.14, Ey = 244, Ey? = 9570 and Exy = 5244.2.
Compute r. (Round your answer to four decimal places.)
As x increases, does the value or Impiy tat y soulu tena to ncrease or decrease? Explain your answer.
rof burglaries)
(annual number of burglaries)
Transcribed Image Text:Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n- 8 universities in California gave the following information about enrollments and annual burglary incidents. x 12.1| 28.0 24.5 14.3 7.5 27.7 16.2 20.1 y 28 69 39 23 15 30 15 25 A USE SALT (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. 25 6 20 15 10 20 30 40 50 60 70 x (student enrollment (in thousands)) 20 15 10 20 30 40 50 60 70 x(student enrollment (in thousands)) 70f. 60 50 40 30 > 20 10 15 20 25 x (student enrollment (in thousands)) 70 60 50 40 30 20 10 15 20 25 x (student enrollment (in thousands)) (b) Use a calculator to verify that Ex = 150.4, Ex? = 3225.14, Ey = 244, Ey? = 9570 and Exy = 5244.2. Compute r. (Round your answer to four decimal places.) As x increases, does the value or Impiy tat y soulu tena to ncrease or decrease? Explain your answer. rof burglaries) (annual number of burglaries)
10
15
20
25
x (student enrollment (in thousands))
70
60아
50
40
30
20
10
15
20
25
x (student enrollment (in thousands))
(b) Use a calculator to verify that Ex = 150.4, Ex² = 3225.14, Ey = 244, Ey2 = 9570 and Exy = 5244.2.
Compute r. (Round your answer to four decimal places.)
As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
Given our value of r, y should tend to decrease as x increases.
O Given our value of r, y should tend to increase as x increases.
Given our value of r, y should tend to
constant as x increases.
y(annual number of burglaries)
Transcribed Image Text:10 15 20 25 x (student enrollment (in thousands)) 70 60아 50 40 30 20 10 15 20 25 x (student enrollment (in thousands)) (b) Use a calculator to verify that Ex = 150.4, Ex² = 3225.14, Ey = 244, Ey2 = 9570 and Exy = 5244.2. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, we can not draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to increase as x increases. Given our value of r, y should tend to constant as x increases. y(annual number of burglaries)
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