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You are curious if anxiety and depression are related. To test this you survey 13 people and measure their anxiety level (0 to 100, higher

You are curious if anxiety and depression are related. To test this you survey 13 people and measure their anxiety level (0 to 100, higher scores mean more anxious) and their score on a standard depression measure (0 to 50, higher scores indicated a higher level of depression). The data is as follows:

person Anxiety Depression
1 75 42 a. If you consider both variables to be interval, what is the
2 50 45 correlation between anxiety and depression scores?
3 27 23
4 60 35 b. How much variability in depression is accounted
5 22 14 for by anxiety (r2)?
6 5 12
7 6 11 c. Explain this relationship in every day terms
8 71 38 (what would you say to a person who does
9 9 18 not know anything about correlations).
10 2 23
11 32 44 d. If you were to consider the Depression scores to be ordinal
12 10 21 what is the value of the correlation you would report?
13 56 32

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