(b) Would you say the correlation is low, moderate, or strong? positive or negative? O moderate and positive O low and negative O low and positive O strong and negative O moderate and negative O strong and positive

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims.
3.
7
15
34
73
y
40
35
30
27
16
A USE SALT
(a) Make a scatter diagram of the data and visualize the line you think best fits the data.
40
40
40
35
35
35
30
30
30
25
25
25
20
20
20
10
20
30
40
50
60 70
10
20
30
40
50
60
70
10
20
30
40
50
60
70
x (average number
X (average number
X(average number
of employees)
of employees)
of employees)
40
35
30
25
20
10
20
30
40
50
60
70
X (average number
of employees)
(b) Would you say the correlation is low, moderate, or strong? positive or negative?
moderate and positive
low and negative
O low and positive
O strong and negative
moderate and negative
O strong and positive
y (average cost
y (average cost
as percentage)
as percentage)
y (average cost
as percentage)
y (average cost
as percentage)
Transcribed Image Text:Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. 3. 7 15 34 73 y 40 35 30 27 16 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 40 40 40 35 35 35 30 30 30 25 25 25 20 20 20 10 20 30 40 50 60 70 10 20 30 40 50 60 70 10 20 30 40 50 60 70 x (average number X (average number X(average number of employees) of employees) of employees) 40 35 30 25 20 10 20 30 40 50 60 70 X (average number of employees) (b) Would you say the correlation is low, moderate, or strong? positive or negative? moderate and positive low and negative O low and positive O strong and negative moderate and negative O strong and positive y (average cost y (average cost as percentage) as percentage) y (average cost as percentage) y (average cost as percentage)
7713184
10
20
30
40
50
60
70
X(average number
of employees)
(b) Would you say the correlation is low, moderate, or strong? positive or negative?
O moderate and positive
O low and negative
O low and positive
O strong and negative
O moderate and negative
O strong and positive
(c)
Use a calculator to verify that Ex = 132, Ex2
6768, Ey = 148,
Ey?
4710, and Exy = 2901. Compute r. (Round your answer to four decimal places.)
%3D
%3D
%3D
r =
As x increases, does the value of r imply that y should tend to increase or decrease? Explain.
O Given our value of r, we cannot draw any conclusions for the behavior of y 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 decrease as x increases.
Given our value of r, y should tend to remain constant as x increases.
Transcribed Image Text:7713184 10 20 30 40 50 60 70 X(average number of employees) (b) Would you say the correlation is low, moderate, or strong? positive or negative? O moderate and positive O low and negative O low and positive O strong and negative O moderate and negative O strong and positive (c) Use a calculator to verify that Ex = 132, Ex2 6768, Ey = 148, Ey? 4710, and Exy = 2901. Compute r. (Round your answer to four decimal places.) %3D %3D %3D r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. O Given our value of r, we cannot draw any conclusions for the behavior of y 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 decrease as x increases. Given our value of r, y should tend to remain constant as x increases.
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