Olympic Women's Freestyle
The table below gives the winning times (in minutes and seconds) in the Olympic women's 400m freestyle event.
|
Year |
Time |
Year |
Time |
|
1952 |
5:12.1 |
1976 |
4:09.89 |
|
1956 |
4:54.6 |
1980 |
4:08.76 |
|
1960 |
4:50.6 |
1984 |
4:07.10 |
|
1964 |
4:43.3 |
1988 |
4:03.85 |
|
1968 |
4:31.8 |
1992 |
4:07.18 |
|
1972 |
4:19.04 |
1996 |
4:07.25 |
Winning times in the Olympic women's 400m freestyle event
Use a statistical package or a graphing calculator to make a scatterplot of this data set with the year as the independent variable and the winning time in seconds for the dependent variable. Then fit this data set with a least-squares line.
Interpret the R2 value for this line.
Using your linear model, predict the winning time in minutes and seconds in the 2000 Olympics and in the 2096 Olympics.
According to your model, predict when a woman will be able to swim the 400m freestyle race in 0 seconds. Discuss the reasonableness of your model.