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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
x
y
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 diagram.
(c) Test to see if the two factors are independent; state your hypotheses and choice of test size.
(d) Calculate the coefficient of determination and provide your interpretation.
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