The table shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. Seal Population Seal Population Year Year (Thousands) (Thousands) 1997 3,493 2005 19,590 1998 5,282 2006 21,955 1999 6,357 2007 22,862 2000 9,201 2008 23,869 2001 11,224 2009 24,243 2002 12,964 2010 24,344 2003 16,226 2011 24,919 2004 18,137 2012 25,108 Let a represent time in years starting with a = 0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. Round any values to 4 decimal places.