The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming). Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1
The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming).
| Year | Time (seconds) |
|---|---|
| 1912 | 82.2 |
| 1924 | 72.4 |
| 1932 | 66.8 |
| 1952 | 66.8 |
| 1960 | 61.2 |
| 1968 | 60.0 |
| 1976 | 55.65 |
| 1984 | 55.92 |
| 1992 | 54.64 |
| 2000 | 53.8 |
| 2008 | 53.1 |
Calculate the least squares line. Put the equation in the form of:
(Round your answers to three decimal places.)
Find the
r =
Find the estimated gold medal time for 1924. (Use your equation from part (d). Round your answer to two decimal places.)
Find the estimated gold medal time for 1992. (Use your equation from part (d). Round your answer to two decimal places.)
Use the least squares line to estimate the gold medal time for the 2012 Summer Olympics. (Use your equation from part (d). Round your answer to two decimal places.)
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