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Commute Time (in minutes) Well-Being Score 6 69.2 17 68.1 26 67.8 37 67.3 48 66.6 72 66.5 95 63.6

Commute Time (in minutes) Well-Being Score 6 69.2 17 68.1 26 67.8 37 67.3 48 66.6 72 66.5 95 63.6

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a​ well-being test. Complete parts​ (a) through​ (d) below.
 
LOADING...
Click the icon to view the table of critical values of the correlation coefficient.
a) Which variable is likely the explanatory variable and which is the response​ variable?
 
 
Critical Values for Correlation Coefficient
 
n
 
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482
18
0.468
19
0.456
20
0.444
21
0.433
22
0.423
23
0.413
24
0.404
25
0.396
26
0.388
27
0.381
28
0.374
29
0.367
30
0.361
n
  

(a) Which variable is likely the explanatory variable and which is the response​ variable?

The explanatory variable is commute time and the response variable is the​ well-being score because​ well-being score affects the commute time score.
 
B.
The explanatory variable is the​ well-being score and the response variable is commute time because​ well-being score affects the commute time.
 
C.
The explanatory variable is commute time and the response variable is the​ well-being score because commute time affects the​ well-being score.
Your answer is correct.
 
D.
The explanatory variable is the​ well-being score and the response variable is commute time because commute time affects the​ well-being score.
 
Part 2

(b) Draw a scatter diagram of the data. Which of the following represents the​ data?

(c) Determine the linear correlation coefficient between commute time and​ well-being score.
 
requals=
Commute Time (in minutes) Well-Being Score 6 69.2 17 68.1 26 67.8 37 67.3 48 66.6 72 66.5 95 63.6
Transcribed Image Text:Commute Time (in minutes) Well-Being Score 6 69.2 17 68.1 26 67.8 37 67.3 48 66.6 72 66.5 95 63.6
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