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). X i- ii- 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. 60 10 4 20 8 10 10 20 (cigarettes/day) Ranks of X Y (cotinine) Ranks of Y 12 6.5 2 179 283 9 75.6 5 15 10 1 9 6.5 1 209 174 6 8 2 9.51 7 10.5 4 3 350 1.85 11 43.4 4 6.5 6.5 10.5 25.1 408 344 12 10

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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).
X
i-
ii-
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.
60 10 4
15 10 1
10 10 20
(cigarettes/day)
Ranks of X
Y (cotinine)
Ranks of Y
12 6.5 2 9 6.5 1
179
283
75.6
174
209
7
9 5
6 8 2
20 8
10.5 4
9.51 350
11
1.85
1
7
3
43.4
4
6.5 6.5 10.5
25.1 408 344
3
12 10
Transcribed Image Text: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). X i- ii- 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. 60 10 4 15 10 1 10 10 20 (cigarettes/day) Ranks of X Y (cotinine) Ranks of Y 12 6.5 2 9 6.5 1 179 283 75.6 174 209 7 9 5 6 8 2 20 8 10.5 4 9.51 350 11 1.85 1 7 3 43.4 4 6.5 6.5 10.5 25.1 408 344 3 12 10
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