Question

The following table gives mean daily calorie intake (all residents) and infant mortality rate (per 1000 births) for ten countries.

Country Mean
Daily
Calories Infant
Mortality Rate

Afghanistan 1523 154

Austria 3495 6

Burundi 1941 114

Colombia 2678 24

Ethiopia 1610 107

Germany 3443 6

Liberia 1640 153

New Zealand 3362 7

Turkey 3429 44

USA 3671 7

a) Find the regression
equation.

b) Calculate the correlation coefficient, accurate to
three decimal places

c) Test the significance of the correlation coefficient with a 0.05 level of significance. Include definition of hypotheses, test statistic, p-value or critical value, decision about Ho, and conclusion.

d) Find the best estimate for the infant mortality rate for a country with mean daily calorie intake of 2800.

Answer #1

a) the regression equation.

y=-0.065x+237.32

i.e. Infant Mortality Rate=-0.065* Mean Daily
Calories +237.32

b) the correlation coefficient=-0.941

by using CORREL command in Excel.

c) hypotheses

vs

test statistic

=-7.86

p-value =0.00005

reject H0.

conclusion.There is significant linear relationship between two variables.

d) Find the best estimate for the infant mortality rate for a country with mean daily calorie intake of 2800.

Infant Mortality Rate=-0.065* Mean Daily Calories +237.32

=-0.065* 2800 +237.32

=55.32(per 1000 births)

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