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This example provides a further use of linear least squares fitting. It gives a context in which confidence in extrapolated values can be investigated.
The following table lists winners and winning times for the men's and women's 200 meter run at the Olympics.
Year |
Male Winner |
Time |
Female Winner |
Time |
1948 |
Mel Patton, USA |
21.1 |
F. Blanker-Koen, Netherlands |
24.4 |
1952 |
Andrew Stanfield, USA |
20.7 |
Marjorie Jackson, Australia |
23.7 |
1956 |
Bobby Morrow, USA |
20.6 |
Betty Cuthbert, Australia |
23.1 |
1960 |
Livio Berruti, Italy |
20.5 |
Wilma Rudolph, USA |
24.0 |
1964 |
Harry Carr, USA |
20.3 |
Edith McGuire, USA |
23.0 |
1968 |
Tommie Smith, USA |
19.83 |
Irena Szewinska, Poland |
22.5 |
1972 |
Valeri Borzov, USSR |
20.00 |
Renate Stacher, E. Germany |
22.4 |
1976 |
Donald Quarrie, Jamaica |
20.23 |
Barbel Eckert, E. Germany |
22.37 |
1980 |
Pietro Mennes, Italy |
20.19 |
Barbel Wockel, E. Germany |
22.03 |
1984 |
Carl Lewis, USA |
19.80 |
Valerie Brisco-Hooks, USA |
21.81 |
1988 |
Joe Deloach, USA |
19.75 |
Flo Griffith-Joyner, USA |
21.34 |
1992 |
Michael Marsh, USA |
20.01 |
Gwen Torrence, USA |
21.81 |
1996 |
Michael Johnson, USA |
19.32 |
Marie-Jose Peric, France |
22.12 |
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