Question
When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator of how much
When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator of how much as person smokes. Listed below are the reported numbers of cigarettes smoked per day and the measured amounts of nicotine (in ng / ml). (The values are from randomly selected subjects in the National Health Examination Survey). Is there a significant linear correlation? Explain the result. Use the rank correlation coefficient to test for a correlation between the two variables and explain via scatterplots why the rank correlation is preferred in this context.
X (cigarettes/day) | 60 | 10 | 4 | 15 | 10 | 1 | 20 | 8 | 7 | 10 | 10 | 20 |
Ranks of X | 12 | 6.5 | 2 | 9 | 6.5 | 1 | 10.5 | 4 | 3 | 6.5 | 6.5 | 10.5 |
Y (cotinine) | 179 | 283 | 75.6 | 174 | 209 | 9.51 | 350 | 1.85 | 43.4 | 25.1 | 408 | 344 |
Ranks of Y | 7 | 9 | 5 | 6 | 8 | 2 | 11 | 1 | 4 | 3 | 12 | 10 |
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