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. Commute Time (in minutes) Well-Being Score 4 69.3 13 68.8 26 67.3 35 67.2 52 66.4 75 65.4 105 63.4 (a) Which variable is likely the explanatory variable and which is the response variable? A. 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 commute time and the response variable is the well-being score because commute time affects the well-being score. Your answer is correct. C. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. D. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. 01106070Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 65.4); (26, 66.4); (36, 67.2); (52, 67.4); (76, 68.8); (106, 69.4). The points follow the general pattern of a curve that rises from left to right at a decreasing rate. B. 01106070Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 69.4); (14, 68.8); (26, 67.4); (36, 67.2); (52, 66.4); (76, 65.4); (106, 63.4). The points follow the general pattern of a straight line that falls from left to right. Your answer is correct. C. 01106070Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 69.4); (26, 65.4); (36, 68.8); (52, 66.4); (76, 67.4); (106, 67.2). The vertical spread of the points decreases from left to right. D. 60700110Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 60 to 70 in increments of 1 and a vertical axis labeled “Score” from 0 to 110 in increments of 10. The following 7 approximate points are plotted, listed here from left to right: (63.4, 106); (65.4, 76); (66.4, 52); (67.2, 36); (67.4, 26); (68.8, 14); (69.4, 4). The points follow the general pattern of a straight line that falls from left to right. (c) Determine the linear correlation coefficient between commute time and well-being score. requals=nothing (Round to three decimal places as needed.)
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. Commute Time (in minutes) Well-Being Score 4 69.3 13 68.8 26 67.3 35 67.2 52 66.4 75 65.4 105 63.4 (a) Which variable is likely the explanatory variable and which is the response variable? A. 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 commute time and the response variable is the well-being score because commute time affects the well-being score. Your answer is correct. C. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. D. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. 01106070Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 65.4); (26, 66.4); (36, 67.2); (52, 67.4); (76, 68.8); (106, 69.4). The points follow the general pattern of a curve that rises from left to right at a decreasing rate. B. 01106070Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 69.4); (14, 68.8); (26, 67.4); (36, 67.2); (52, 66.4); (76, 65.4); (106, 63.4). The points follow the general pattern of a straight line that falls from left to right. Your answer is correct. C. 01106070Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 69.4); (26, 65.4); (36, 68.8); (52, 66.4); (76, 67.4); (106, 67.2). The vertical spread of the points decreases from left to right. D. 60700110Commute Time (min)Score A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 60 to 70 in increments of 1 and a vertical axis labeled “Score” from 0 to 110 in increments of 10. The following 7 approximate points are plotted, listed here from left to right: (63.4, 106); (65.4, 76); (66.4, 52); (67.2, 36); (67.4, 26); (68.8, 14); (69.4, 4). The points follow the general pattern of a straight line that falls from left to right. (c) Determine the linear correlation coefficient between commute time and well-being score. requals=nothing (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Question
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.
|
Commute Time (in minutes)
|
Well-Being Score
|
|
|---|---|---|
|
4
|
69.3
|
|
|
13
|
68.8
|
|
|
26
|
67.3
|
|
|
35
|
67.2
|
|
|
52
|
66.4
|
|
|
75
|
65.4
|
|
|
105
|
63.4
|
|
(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.
The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
(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=nothing
(Round to three decimal places as needed.)
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