Question
Manatees are large, gentle, slow-moving creatures found along the coast of Florida. Many manatees are injured or killed by boats. below contains data on the
Manatees are large, gentle, slow-moving creatures found along the coast of Florida. Many manatees are injured or killed by boats. below contains data on the number of boats registered in Florida (in thousands) and the number of manatees killed by boats for the years between 1977 and 2013. (data are distorted):
YEAR | BOATS | MANATEES | YEAR | BOATS | MANATEES | YEAR | BOATS | MANATEES | |||
---|---|---|---|---|---|---|---|---|---|---|---|
1977 | 447 | 13 | 1989 | 711 | 51 | 2001 | 943 | 82 | |||
1978 | 460 | 21 | 1990 | 718 | 46 | 2002 | 963 | 95 | |||
1979 | 482 | 24 | 1991 | 680 | 53 | 2003 | 979 | 73 | |||
1980 | 498 | 15 | 1992 | 678 | 38 | 2004 | 983 | 70 | |||
1981 | 514 | 24 | 1993 | 678 | 35 | 2005 | 1009 | 79 | |||
1982 | 513 | 19 | 1994 | 695 | 49 | 2006 | 1023 | 91 | |||
1983 | 525 | 16 | 1995 | 713 | 41 | 2007 | 1026 | 73 | |||
1984 | 560 | 35 | 1996 | 732 | 59 | 2008 | 1009 | 89 | |||
1985 | 583 | 33 | 1997 | 756 | 55 | 2009 | 983 | 98 | |||
1986 | 613 | 33 | 1998 | 809 | 65 | 2010 | 944 | 83 | |||
1987 | 646 | 40 | 1999 | 830 | 81 | 2011 | 921 | 87 | |||
1988 | 677 | 43 | 2000 | 882 | 79 | 2012 | 901 | 81 | 2013 | 916 | 70 |
(a) Find the correlation rr (0.001)
rr =
(b) Find the equation of the least-squares line (0.001) for predicting manatees killed from thousands of boats registered.
yy^ = +xx
(c) What would you predict (0.1) number of manatees killed by boats to be if there are 900,000 boats registered?
(d) Predict (0.1) manatee deaths if there were no boats registered in Florida.
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