Case 20.2 C20-02 Over time, there have been steady improvements in performances in all athletic…

Case 20.2

C20-02 Over time, there have been steady
improvements in performances in all athletic sports. Olympic track and field
events are an excellent example of this phenomenon. Over the past 60 years,
most track and field events have produced new Olympic Games records. To examine
this issue, a researcher recorded the winning performance at each Olympic Games
between 1948 and 2008 for each of the following events:

1 Men’s 100 metres (seconds)

2 Women’s 100 metres (seconds)

3 Men’s 4 × 100 metres relay (seconds)

4 Women’s 4 × 100 metres relay (seconds)

5 Men’s 1500 metres (
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Case 20.2

C20-02 Over time, there have been steady
improvements in performances in all athletic sports. Olympic track and field
events are an excellent example of this phenomenon. Over the past 60 years,
most track and field events have produced new Olympic Games records. To examine
this issue, a researcher recorded the winning performance at each Olympic Games
between 1948 and 2008 for each of the following events:

1 Men’s 100 metres (seconds)

2 Women’s 100 metres (seconds)

3 Men’s 4 × 100 metres relay (seconds)

4 Women’s 4 × 100 metres relay (seconds)

5 Men’s 1500 metres (seconds)

6 Women’s 1500 metres (seconds)

7 Men’s high jump (cm)

8 Women’s high jump (cm)

9 Men’s long jump (metres)

10 Women’s long jump (metres)

11 Men’s javelin (metres)

12 Women’s javelin (metres)

13 Men’s shot-put (metres)

14 Women’s shot-put (metres) These data are
stored in columns 1 to 14. Column 15 contains the years as follows: 1 = 1948; 2
= 1952; …; 16 = 2008. For each event, develop a model that uses the year as an
independent variable to forecast future performances. Use the models to predict
what the 2012 performances should have been. Can we use the model to forecast
when the fastest women’s 100 metres will be less than 10 seconds? Explain.

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