Question

A researcher is interested in what influences a nation’s infant mortality rate. She hypothesizes that greater wealth and resource availability influences the infant mortality rate, and collected data from 6 nations to investigate this. A nation’s level of wealth and resource availability is measured as its GDP per capita in $1,000s, and its infant mortality rate is calculated as number of infant deaths per 1,000 births. Country name Infant mortality rate GDP per capita (in $1,000s) Argentina 9.7 12.7 Bahamas 6.1 30.3 Barbados 11.9 15.9 Belize 12.8 4.9 Bolivia 29.0 3.1 Brazil 14.6 8.6

a) Calculate the correlation between infant mortality rate and GDP per capita in $1,000s in this sample of countries. Show all of your calculation work.

b) Interpret the result you obtained in a).

c) Calculate the regression for the relationship between infant mortality rate and GDP per capita. Show all of your calculation work.

d) Interpret the results you obtained in c).

e) If a county has GDP per capita of $6,200, what do the results of the analysis here predict for that country’s infant mortality rate? Show all of your work.

f) What other country-level variables may influence a country’s infant mortality rate? Give at least one and explain why you think this variable influences the infant mortality rate.

Answer 1

b. Interpretation:
The value of R is -0.7235
This is a moderate negative correlation, which means there is a tendency for high GDP value to go with low infant mortality rate ( vice versa)

d. Interpretation:
1 unit increase in gDP leads to a decrease of 0.57756 unit in infant mortality rate

Note: Mirror legally bound to solve only first four parts of the problem

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