(5.15) Manatees are large, gentle, slow-moving creatures found along the coast o

Question

(5.15) 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 449 12 1989 712 50 2001 943 81 1978 459 21 1990 719 46 2002 961 94 1979 480 25 1991 682 53 2003 977 72 1980 498 15 1992 680 37 2004 983 69 1981 513 24 1993 680 35 2005 1011 80 1982 511 19 1994 694 48 2006 1025 91 1983 527 14 1995 714 42 2007 1028 73 1984 560 34 1996 733 60 2008 1009 90 1985 583 32 1997 754 55 2009 983 98 1986 614 33 1998 808 66 2010 942 83 1987 647 40 1999 831 81 2011 920 89 1988 673 42 2000 880 79 2012 903 81 2013 915 71 (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. yˆy^ = + 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.

Explanation / Answer

a) Pearson correlation of boats and manatees killed = 0.952

b) The regression equation is
manatees killed = - 45.4 + 0.133 boats

c) What would you predict (±±0.1) number of manatees killed by boats to be if there are 900,000 boats registered?

Ans: manatees killed = - 45.4 + 0.133 *900=74.3

(d) Predict (±±0.1) manatee deaths if there were no boats registered in Florida.

Ans: manatees killed = - 45.4

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