The Child Trends Data Bank monitors issues related to children. The table shows a 50-state average of the percent of expectant mothers who smoked cigarettes during their pregnancies.

a) Create a scatterplot and describe the trend you see.
b) Find the correlation.
c) How is the value of the correlation affected by the fact that the data are averages rather than percentages for each of the 50 states?
d) Write a linear model and interpret the slope in context.

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% Smoking Year While Pregnant 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 19.2 18.7 17.9 16.8 16.0 15.4 15.3 14.9 14.8 14.1 14.0 % Smoking Year While Pregnant 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 13.8 13.3 12.7 10.9 10.1 10.0 10.4 9.7 9.3 9.2 9.0