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
|
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.