Question: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in the table on the right, where x
Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in the table on the right, where x is years since 1980 and y is winning time (in seconds). Do the same for the women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with the men?
The men's linear regression model is y =
(Round regression coefficients to three decimal places as needed.)
100 meter freestyle
| men | women | |
| 1980 | 50.40 | 54.92 |
| 1984 | 49.95 | 55.92 |
| 1988 | 48.63 | 54.93 |
| 1992 | 49.02 | 54.65 |
| 1996 | 48.74 | 54.50 |
| 2000 | 48.30 | 53.83 |
| 2004 | 48.17 | 53.84 |
| 2008 | 47.21 | 53.12 |
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