Location Birth rate per 1000 population Infant Mortality per 1000 live births
American Samoa 24.88 10.36
CNMI 20.6 5.7
Fiji 23.33 14.08
French Polynesia 18.6 9.12
FSM 27.09 33.48
Guam 25.07 6.71
Kiribati 31.98 54
Marshall Islands 45.07 39.82
Nauru 27.22 10.71
Palau 19.64 16.67
Papua New Guinea 32.15 58.21
Samoa 15.59 31.75
Solomon Islands 34.05 24.47
Tuvalu 21.56 22.65
Vanuatu 25.4 61.05
  1. Calculate the slope of the least squares line for the data.
  2. Calculate the y-intercept of the least squares line.
  3. Is the correlation positive, negative, or neutral?
  4. Use the equation of the best fit line to calculate the expected infant mortality rate for a Pacific basin location with a birth rate of 30.
  5. Use the inverse of the best fit equation of the best fit line to calculate the expected birth rate for a Pacific basin location with an infant mortality rate of 40.
  6. Calculate the linear correlation coefficient r for the data.
  7. Is the correlation none, low, moderate, high, or perfect?
  8. Calculate the coefficient of determination.
  9. What percent of the variation in the birth rate explains the variation in the infant mortality data?
  10. Is there a relationship between birth rate and infant mortality?
  11. Would a policy that decreases the birth rate also likely decrease the infant mortality rate?
  12. Given the data and correlation above, what types of social policy might you recommend with respect to birth rate in order to reduce infant mortality in the FSM?
  13. The FSM has a population of 110,000. Given the noted birth rate of 27.09 babies (live births) per 1000 people in the FSM in 2001, how many babies can be expected to be born in the FSM this year?
  14. Infant mortality refers to death of a baby in its first year of life. Given the FSM's infant mortality rate of 33.48 infants per 1000 live births, how many infants can be expected to die before they reach their first birthday in the FSM this year?