Find a linear regression model for the men’s 200-meter backstroke data given in Table 15, where x is years since 1990 and y is winning time (in seconds). Do the same for the women’s 200-meter backstroke data. (Round regression coefficients to three decimal places.) Do these models indicate that the women will eventually catch up with the men?

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Table 15 Winning Times in Olympic Swimming Events 100-Meter Freestyle 200-Meter Backstroke Women Men 54.65 1:58.47 54.50 1.58.54 53.83 1:56.76 53.84 1:54.76 53.12 1:53.94 53.00 1:53.41 52.70 1:53:62 1992 1996 2000 2004 2008 2012 2016 Men 49.02 48.74 48.30 48.17 47.21 47.52 47.58 Women 2:07.06 2:07.83 2:08.16 2:09.16 2:05.24 2:04.06 2:05.99