A poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year 2008 2009 2010 2011 2013 2015 2016 Happiness Index 34 32 36 32 34 33 34 Happy with Life Statement (percentage somewhat or strongly agree) 80 79 80 79 81 80 86 Won't Benefit Statement (percentage somewhat or strongly agree) 33 41 33 39 41 37 38 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient for Happiness index and the response to the Won't benefit statement. (Round your answer to four decimal places.) (c) Is there a stronger relationship between Happiness index and the response to Statement 1 or between Happiness index and the response to Statement 2? O There is a stronger relationship between the Happiness Index and a person's response to Statement 2. O Both statements have very strong relationships between a peron's Happiness Index and a his or her response to each question. O Both statements have very weak relationships between a peron's Happiness Index and a his or her response to each question. O There is a stronger relationship between a peron's Happiness Index and a person's response to Statement 1. (d) Write a few sentences describing the relationships between Happiness index and the responses to the two statements. There is a -Select--- ✓association between the Happiness Index and the response to Statement 1. There is a --Select--- association between the Happiness Index and the response to Statement 2.
A poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year 2008 2009 2010 2011 2013 2015 2016 Happiness Index 34 32 36 32 34 33 34 Happy with Life Statement (percentage somewhat or strongly agree) 80 79 80 79 81 80 86 Won't Benefit Statement (percentage somewhat or strongly agree) 33 41 33 39 41 37 38 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient for Happiness index and the response to the Won't benefit statement. (Round your answer to four decimal places.) (c) Is there a stronger relationship between Happiness index and the response to Statement 1 or between Happiness index and the response to Statement 2? O There is a stronger relationship between the Happiness Index and a person's response to Statement 2. O Both statements have very strong relationships between a peron's Happiness Index and a his or her response to each question. O Both statements have very weak relationships between a peron's Happiness Index and a his or her response to each question. O There is a stronger relationship between a peron's Happiness Index and a person's response to Statement 1. (d) Write a few sentences describing the relationships between Happiness index and the responses to the two statements. There is a -Select--- ✓association between the Happiness Index and the response to Statement 1. There is a --Select--- association between the Happiness Index and the response to Statement 2.
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 12PPS
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Question
Transcribed Image Text:A poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index
for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly
agree" to the following statements.
Statement 1 (happy with life) 1: At this time, I'm generally happy with my life.
Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon.
Year
2008
2009
2010
2011
2013
2015
2016
Happiness
Index
34
32
36
32
34
33
34
Happy with
Life Statement
(percentage
somewhat or
strongly agree)
80
79
80
79
81
80
86
Won't Benefit
Statement
(percentage
somewhat or
strongly agree)
33
41
33
39
41
37
38
(a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer
to four decimal places.)
(b) Calculate the value of the correlation coefficient for Happiness index and the response to the Won't benefit statement. (Round your answer to
four decimal places.)
(c) Is there a stronger relationship between Happiness index and the response to Statement 1 or between Happiness index and the response to
Statement 2?
O There is a stronger relationship between the Happiness Index and a person's response to Statement 2.
O Both statements have very strong relationships between a peron's Happiness Index and a his or her response to each question.
O Both statements have very weak relationships between a peron's Happiness Index and a his or her response to each question.
There is a stronger relationship between a peron's Happiness Index and a person's response to Statement 1.
(d) Write a few sentences describing the relationships between Happiness index and the responses to the two statements.
There is a -Select---
✓association between the Happiness Index and the response to Statement 1. There is a
association between the Happiness Index and the response to Statement 2.
-Select---
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