Estimate the regression parameters, infant mortality rate

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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

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.

Reference no: EM13953382

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