8. Refer to your models from Problems 6 and 7 above. Why do the two data sets produce such different
8. Refer to your models from Problems 6 and 7
above. Why do the two data sets produce such
different models?
9. The following are the winning times for the
Olympic Men’s 110 Meter Hurdles:
Year
Time
Year
Time
Year
Time
1896
17.6
1932
14.6
1976
13.3
1900
15.4
1936
14.2
1980
13.39
1904
16
1948
13.9
1984
13.2
1906
16.2
1952
13.7
1988
12.98
1908
15
1956
13.5
1992
13.12
1912
15.1
1960
13.8
1996
12.95
1920
14.8
1964
13.6
2000
13
1924
15
1968
13.3
2004
12.91
1928
14.8
1972
13.24
(a) Make a scatter plot of these
data.
(b) Fit a linear model to the
data.
(c) Fit an exponential model to
the data
(d) Fit a quadratic model to the
data.
(e)
Use your equations to make a table showing the predicted winning time
for each model for the 2008 Olympics, rounded to the nearest hundredth of a
second.
(f) The actual time for the 2008
Olympics was 12.93 seconds. Which model was closest? Which model was
second-closest?
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