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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 2008 2009 2010 2011 2013 2015 2016 Happiness Index 32 36 34 34 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 83 78 81 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 37 35 37 43 35 42 (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 2008 2009 2010 2011 2013 2015 2016 Happiness Index 32 36 34 34 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 83 78 81 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 37 35 37 43 35 42 (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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 2008 2009 2010 2011 2013 2015 2016 Happiness Index 32 36 34 34 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 83 78 81 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 37 35 37 43 35 42 (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.)
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 32 36 34 34 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 83 78 81 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 37 35 37 43 35 42 (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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