Many attempts have been made to relate happiness with various factors. A 2018 study in the Journal of Happiness relates happiness with age and finds that holding everything else constant, people are least happy when they are in their mid-40s. The accompanying data file shows a respondent’s age and his/her perception of well-being on a scale from 0 to 100.

a. Calculate and interpret the correlation coefficient between age and happiness. 

b. Construct a scatterplot to point out a flaw with the correlation analysis in part a.