Question
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
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 wellbeing on a scale from 0 to 100.
a-Calculate the sample correlation coefficient between age and happiness. (Round your answer to 2 decimal places.)
a-2. Interpret the sample correlation coefficient between age and happiness. multiple choice 1
- The correlation between age and happiness is positive and moderate.
- The correlation between age and happiness is negative and moderate.
- There is no correlation between age and happiness. Draw a scatterplot to evaluate your interpretation of the calculated sample correlation value. multiple choice 2
- The interpretation is reliable given that for the majority of observations, a direct relationship exists.
- The interpretation is reliable given that for the majority of observations, an inverse relationship exists.
- The interpretation is flawed given the linear relationship that seems to exist between these two variables.
- The interpretation is flawed given the non-linear relationship that seems to exist between these two variables.
Age | Happiness |
49 | 62 |
51 | 66 |
41 | 67 |
65 | 71 |
84 | 87 |
41 | 60 |
83 | 86 |
18 | 78 |
36 | 59 |
61 | 63 |
15 | 77 |
86 | 90 |
73 | 70 |
32 | 62 |
84 | 93 |
23 | 72 |
52 | 58 |
72 | 73 |
63 | 63 |
30 | 66 |
72 | 78 |
47 | 60 |
88 | 95 |
69 | 72 |
Step by Step Solution
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Step: 1
To calculate the sample correlation coefficient between age and happiness well use the formula for the Pearson correlation coefficient which is define...Get Instant Access to Expert-Tailored Solutions
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Step: 2
Step: 3
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