Problem require a graphing calculator or a computer that can calculate the linear regression line for a given data set.
Olympic Games. Find a linear regression model for the men’s 100-meter freestyle data given in the table, where x is years since 1990 and y is winning time (in seconds). Do the same for the women’s 100-meter freestyle data. (Round regression coefficients to three decimal places.) Do these models indicate that the women will eventually catch up with the men?
Table for 1 and 2 Winning Times in Olympic Swimming Events
| 100-Meter | Freestyle | 200-Meter | Backstroke |
| Men | Women | Men | Women |
1992 | 49.02 | 54.65 | 1:58.47 | 2:07.06 |
1996 | 48.74 | 54.50 | 1:58.54 | 2:07.83 |
2000 | 48.30 | 53.83 | 1:56.76 | 2:08.16 |
2004 | 48.17 | 53.84 | 1:54.76 | 2:09.16 |
2008 | 47.21 | 53.12 | 1:53.94 | 2:05.24 |
2012 | 47.52 | 53.00 | 1:53.41 | 2:04.06 |
Source: www.infoplease.com
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