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In a study of saliva cotinine, seven subjects, all of whom had abstained from smoking for a week, were asked to smoke a single cigarette. The cotinine levels at 12 and 24 hours after smoking are provided in Table E8.2.
(a) Draw a scatter diagram to show a possible association between the cotinine levels (24-hour measurement as the dependent variable) and check to see if a linear model is justified.
Cotinine Level (mmol/L)
Subject
After 12 hours
After 24 hours
1
73
24
2
58
27
3
67
49
4
93
59
5
33
0
6
18
11
7
147
43
(b) Estimate the regression parameters, the 24-hour measurement for a subject with a 12-hour cotinine level of 60 mmol/L, and draw the regression line on the same graph with the scatter diagram.
(c) Test to see if the two cotinine levels are independent; state your hypotheses and choice of test size.
(d) Calculate the coefficient of determination and provide your interpretation.
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