Friday, October 10, 2014

Prenatal Care The following data gives the percentage of women who smoked during pregnancy for...

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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