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. х 3 15 40 74 40 35 30 28 17 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Graph Layers ClearAll 38 36 • Point 1 34 32 • Point 2 30 Fill 28 26 • Point 3 24 22 • Point 4 20 18 • Point 5 16 No Solution 44 42 40 O Help 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 WebAssign. Graphing Tool + Submission Data (b) Would you say the correlation is low, moderate, or strong? positive or negative? O moderate and negative O strong and negative O strong and positive O moderate and positive O low and negative O low and positive (c) Use a calculator to verify that Ex = 139, Ex? = 7359, Ey = 150, Ey2 = 4798, and Exy = 3193. Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain. O Given our value of r, y should tend to increase as x increases. O Given our value of r, y should tend to decrease as x increases. 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 remain constant as x increases.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 10PPS
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Question
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.
х
3
15
40
74
40
35
30
28
17
(a) Make a scatter diagram of the data and visualize the line you think best fits the data.
Graph Layers
ClearAll
38
36
• Point 1
34
32
• Point 2
30
Fill
28
26
• Point 3
24
22
• Point 4
20
18
• Point 5
16
No
Solution
44
42
40
O Help
10
15
20
25
30
35
40
45
50
55
60
65 70 75 80
WebAssign. Graphing Tool
+ Submission Data
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. х 3 15 40 74 40 35 30 28 17 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Graph Layers ClearAll 38 36 • Point 1 34 32 • Point 2 30 Fill 28 26 • Point 3 24 22 • Point 4 20 18 • Point 5 16 No Solution 44 42 40 O Help 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 WebAssign. Graphing Tool + Submission Data
(b) Would you say the correlation is low, moderate, or strong? positive or negative?
O moderate and negative
O strong and negative
O strong and positive
O moderate and positive
O low and negative
O low and positive
(c) Use a calculator to verify that Ex = 139, Ex? = 7359, Ey = 150, Ey2 = 4798, and Exy = 3193. Compute r. (Round your answer to three decimal places.)
As x increases, does the value of r imply that y should tend to increase or decrease? Explain.
O Given our value of r, y should tend to increase as x increases.
O Given our value of r, y should tend to decrease as x increases.
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 remain constant as x increases.
Transcribed Image Text:(b) Would you say the correlation is low, moderate, or strong? positive or negative? O moderate and negative O strong and negative O strong and positive O moderate and positive O low and negative O low and positive (c) Use a calculator to verify that Ex = 139, Ex? = 7359, Ey = 150, Ey2 = 4798, and Exy = 3193. Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain. O Given our value of r, y should tend to increase as x increases. O Given our value of r, y should tend to decrease as x increases. 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 remain constant as x increases.
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