LINKING concepts... For Individual or Group Explorations Modeling Life Expectancy The accompanying table gives the life expectancy at birth for U.S. men and women ( Centers for Disease Control, www.cdc.gov ). a) Use linear regression on your graphing calculator to find the life expectancy for men as a function of the year of birth. b) Use linear regression on your graphing calculator to find the life expectancy for women as a function of the year of birth. c) Graph the functions that you found in parts (a) and (b) on the same coordinate system . d) According to this model, will men ever catch up to women in life expectancy? e) For what year of birth did men and women have the same life expectancy? f) Interpret the slope of these two lines. g) Why do you think that life expectancy for women is increasing at a greater rate than life expectancy for men?
LINKING concepts... For Individual or Group Explorations Modeling Life Expectancy The accompanying table gives the life expectancy at birth for U.S. men and women ( Centers for Disease Control, www.cdc.gov ). a) Use linear regression on your graphing calculator to find the life expectancy for men as a function of the year of birth. b) Use linear regression on your graphing calculator to find the life expectancy for women as a function of the year of birth. c) Graph the functions that you found in parts (a) and (b) on the same coordinate system . d) According to this model, will men ever catch up to women in life expectancy? e) For what year of birth did men and women have the same life expectancy? f) Interpret the slope of these two lines. g) Why do you think that life expectancy for women is increasing at a greater rate than life expectancy for men?
Solution Summary: The author explains how to determine linear regression for the life expectancy y as a function of year x in the TI-83 calculator.
The accompanying table gives the life expectancy at birth for U.S. men and women (Centers for Disease Control, www.cdc.gov).
a) Use linear regression on your graphing calculator to find the life expectancy for men as a function of the year of birth.
b) Use linear regression on your graphing calculator to find the life expectancy for women as a function of the year of birth.
c) Graph the functions that you found in parts (a) and (b) on the same coordinate system.
d) According to this model, will men ever catch up to women in life expectancy?
e) For what year of birth did men and women have the same life expectancy?
f) Interpret the slope of these two lines.
g) Why do you think that life expectancy for women is increasing at a greater rate than life expectancy for men?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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