Introductory Biostatistics

(Chris Devlin) #1
TABLE E8.2
Cotinine Level (mmol/L)
Subject After 12 hours After 24 hours
17324
25827
36749
49359
5330
61811
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 coe‰cient of determination and provide your inter-
pretation.

8.3 Table E8.3 gives the net food supply (x, number of calories per person
per day) and the infant mortality rate (y, number of infant deaths per
1000 live births) for certain selected countries before World War II.


TABLE E8.3
Country xyCountry xy
Argentina 2730 98.8 Iceland 3160 42.4
Australia 3300 39.1 India 1970 161.6
Austria 2990 87.4 Ireland 3390 69.6
Belgium 3000 83.1 Italy 2510 102.7
Burma 1080 202.1 Japan 2180 60.6
Canada 3070 67.4 Netherlands 3010 37.4
Chile 2240 240.8 New Zealand 3260 32.2
Cuba 2610 116.8 Sweden 3210 43.3
Egypt 2450 162.9 U.K. 3100 55.3
France 2880 66.1 U.S. 3150 53.2
Germany 2960 63.3 Uruguay 2380 94.1

(a) Draw a scatter diagram to show a possible association between the
infant mortality rate (used as the dependent variable) and the net
food supply and check to see if a linear model is justified.
(b)Estimate the regression parameters, the infant mortality rate for a
country with a net food supply of 2900 calories per person per day,
and draw the regression line on the same graph with the scatter dia-
gram.

EXERCISES 307
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