In: Statistics and Probability
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.