Prenatal Care The following data gives the percentage of women who smoked during pregnancy for selected years from 1994 to 2002.
Year | Percent Smoking During Pregnancy |
1994 | 14.6 |
1996 | 13.6 |
1998 | 12.9 |
2000 | 12.2 |
2001 | 12.0 |
2002 | 11.4 |
(a) From examining the table, what is the general relationship between the year and the percentage of women smoking during pregnancy?
(b) Let t be the number of years after 1993. Here, t starts at 1 because ln 0 is undefined. Make a scatterplot of the data and find the natural logarithmicfunction of the form p(t ) = a ln t + b that best fits the data. Why must a be negative?
(c) Project the percentage of women who will smoke during pregnancy in the year 2007
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