Fostering Advanced Algebraic Thinking with Casio Technology
Investigation 1.2—Motorcycles and Helmets (continued)
e.
Which of the protective devices are the most effective in saving lives? How is
this question different from part d, and is there enough information to
determine this?
f.
What is the estimated increase in the number of lives saved by each of the
protective devices between 2000 and 2006?
g.
What are the real-world meanings of these estimated increases?
h.
Write a few statements summarizing the general trends in the number of lives
saved for each of these protective devices.
Reference: US Dept of Transportation, National Highway Traffic Safety Administration.
Traffic Safety Facts 2007. (Washington DC, 2008)
i. The following table includes the number of lives saved by child restraints
from 1995 to 2007. Do the data appear to have a linear trend? What is the
correlation coefficient of a linear regression analysis?
1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007
Lives
Saved by
Child
Restraints
in the U.S.
408 480 444 438 447 479 388 383 447 455 424 427 382
Source: US Dept of Transportation, National Highway Traffic Safety Administration.
Traffic Safety Facts 2007. (Washington DC, 2008)
j. Try a quadratic and a cubic regression. Which is the best fit—the linear,
quadratic, or cubic function? Explain.
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