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? 100-Meter Freestyle Men Women 54.79 55.92 1980 50 40 1984 49 80 1988 48.63 54.93 54.65 54.50 53 83 53 96 1992 49 02 The men's linear regression model is 1996 48.74 2000 48.30 (Round regression coefficients to three decimal places as needed) 2004 48 17 The women's linear regression model is y-D (Round regression coefficients to three decimal places as needed) 2008 47.38 53.12 Based on the regression models, will the women's times eventually catch up with the men's times? O Yes No

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