The accompanying graph shows the relationship between the

Chapter 2, Problem 2.10.12

(choose chapter or problem)

The accompanying graph shows the relationship between the age of a woman when she has her first child and her lifetime risk of getting breast cancer relative to a childless woman. a. The shot put results are roughly linear between 1900 and 1988. Sketch a best-fit line for those years. Estimate the coordinates of two points on the line to calculate the slope. Interpret the slope in this context. b. What is happening to the winning shot put results after 1988? Estimate the slope of the best-fit line for the years after 1988. c. Letting x years since 1900, construct a piecewise linear function S(x) that describes the winning Olympic shot put results (in feet thrown) between 1900 and 2008. 11. Cell phones have become immensely popular, as the following chart shows. a. A linear model seems reasonable between 1990 and 2007. Sketch a best-fit line for those dates, then pick two points on your line and calculate the slope. Interpret the slope in this context. b. Letting x years since 1990, construct a piecewise linear function P(x) that would describe the percentage of U.S. households with cell phones between 1990 and 2007. a. If a woman has her first child at age 18, approximately what is her risk of developing cancer relative to a woman who has never borne a child? b. At roughly what age are the chances the same that a woman will develop breast cancer whether or not she has a child? c. If a first-time mother is beyond the age you specified in part (b), is she more or less likely to develop breast cancer than a childless woman? d. Sketch a line that looks like a best fit to the data, estimate the coordinates of two points on the line, and use them to calculate the slope. e. Interpret the slope in this context. f. Construct a linear model for these data, identifying your independent and dependent variables.