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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 Happiness Index Happy with Life Statement (percentage somewhat or strongly agree) Won't Benefit Statement (percentage somewhat or strongly agree) 2008 32 78 35 2009 34 81 39 2010 34 78 35 2011 34 81 37 2013 30 77 45 2015 31 78 39 2016 32 84 40 (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.)

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 Happiness Index Happy with Life Statement (percentage somewhat or strongly agree) Won't Benefit Statement (percentage somewhat or strongly agree) 2008 32 78 35 2009 34 81 39 2010 34 78 35 2011 34 81 37 2013 30 77 45 2015 31 78 39 2016 32 84 40 (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.)

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 60SE: Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the...
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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 Happiness
Index		 Happy with
Life Statement
(percentage
somewhat or
strongly agree)		 Won't Benefit
Statement
(percentage
somewhat or
strongly agree)
2008 32 78 35
2009 34 81 39
2010 34 78 35
2011 34 81 37
2013 30 77 45
2015 31 78 39
2016 32 84 40
(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.)
 
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