The numbers of Russian children adopted by American families are shown in Table 25 for various years.
Table 25
Numbers of Russian Children Adopted by American Families
YearNumber of Children
2004 …………………………..5862
2006 …………………………..3702
2008 …………………………..1857
2010 …………………………..1079
2011 ………………………….. 962
Let f(x) be the number of Russian children adopted by American families in the year that is x years since 2000.
a. Construct a scatterplot by hand.
b. Graph the model f(x) = 17,555(0.76)x by hand on the scatterplot. Then describe the shape and the strength of the association.
c. What is the base of the model f(x) = 17,555(0.76)x? What does it mean in this situation?
d. Find f(13). What does it mean in this situation? Do you have much faith in your result? Explain.
e. In 2013, Russian banned the adoption of Russian children by American families. How does this relate to your responses to part (d)?