Question
You are curious if financial stability and life satisfaction are related. To test this you survey 12 people and measure their financial stability (0 to
You are curious if financial stability and life satisfaction are related. To test this you survey 12 people and measure their financial stability (0 to 100, higher scores mean more stable) and their score on a standard life satisfaction measure (0 to 50, higher scores indicated a higher level of life satisfaction). The data is as follows:
person | Financial Stability | Life Satisfaction | ||||
1 | 75 | 42 | ||||
2 | 50 | 45 |
| |||
3 | 27 | 23 |
| |||
4 | 60 | 34 | ||||
5 | 5 | 33 |
| |||
6 | 22 | 16 | ||||
7 | 6 | 11 | ||||
8 | 71 | 38 |
| |||
9 | 2 | 23 |
| |||
10 | 9 | 18 | ||||
11 | 32 | 44 | ||||
12 | 40 | 21 |
| |||
a. If you consider both variables to be interval, what is the correlation between financial stability and life satisfaction scores?
b. How much variability in life satisfaction is accounted for by financial stability (r2)?
c. Explain this relationship in every day terms (what would you say to a person who does not know anything about correlations).
d. If you were to consider the Life Satisfaction scores to be ordinal what correlation would you calculate?
e. What is the value of the correlation you would report?
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