The infant mortality rate is the number of deaths of infants (not including fetuses) under 1 year old per 1000 births. Infant mortality rates in the United States are shown in Table 37 for various years.

Let y be the U.S. infant mortality rate (number of deaths per 1000 infants) at x years since 1900.
a. Construct a scatterplot.
b. Find an equation of a model and graph it on the scatterplot. Then describe the shape and the strength of the association.
c. What is the base b of the model = abx? What does it mean in this situation?
d. Estimate the U.S. infant mortality rate in 2007.
e. Find the ratio of the 2005 U.S. infant mortality rate to the 2005 Singapore infant mortality rate, which was 2.1 deaths per 1000 infants. What does your result mean in this situation?

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Table 3Z Infant Mortality Rates in the United States Rate (number of deaths per 1000 infants) Year 1915 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2014 99.9 85.8 64.6 470 29.2 26.0 20.0 12.6 9.2 6.9 6.2 6.2