Health The following table shows men’s and women’s life expectancy at birth (in years) for selected birth years in the United States*:
Birth Year | Life Expectancy | |
Men | Women | |
1970 | 67.1 | 74.7 |
1975 | 68.8 | 76.6 |
1980 | 70.0 | 77.4 |
1985 | 71.1 | 78.2 |
1990 | 71.8 | 78.8 |
1995 | 72.5 | 78.9 |
1998 | 73.8 | 79.5 |
2000 | 74.3 | 79.7 |
2001 | 74.4 | 79.8 |
2004 | 75.2 | 80.4 |
2010 | 75.6 | 81.4 |
(a) Find the least-squares regression line for the men’s data, with x = 70 corresponding to 1970.
(b) Find the least-squares regression line for the women’s data, with x = 70 corresponding to 1970.
(c) Suppose life expectancy continues to increase as predicted by the equations in parts (a) and (b). Will men’s life expectancy ever be the same as women’s? If so, in what birth year will this occur?
*U.S. Center for National Health Statistics.
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