# . 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 Menâ€™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?