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Florida boat

Florida boat

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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The figure shows part of the JMP regression output. JMP Regression Analysis: Kills versus Boats The regression equation in ille-45.3 +0.133 Boat Predictor Constant -45.270 Boats 81.94642 R-g90.98 R-qind) = 90.69 Analysis of variance Bource DE 3 4 5 4 Residual Bro 37 2336 38 25451 Obs Boats Fills 8 9 10 12 13 14 15 16 17 18 Coef Co 20 21 22 24 25 0.133051 0.006954 26 27 20 30 31 32 MS T 123115 23115 366.06 0.000 Fit 35 Fit Residual 1 Resid 447 13.00 14.20 460 21.00 15.93 16.00 20.99 513 24.00 22.99 2.25 2.14 512 20.00 22.95 2.17 -2.85 526 15.00 24.71 2.09 -9.71 -1.27 34.00 29.11 1.91 33.00 32.56 1.70 0.44 -1.56 -1.54 0.67 414 33.00 36.42 1.65 645 39.00 40.55 675 43.00 44.54 711 50.00 49.33 319 47.00 50.39 53.00 43.34 679 30.00 45.07 679 35.00 44.94 494 49.00 47.33 313 132 60.00 52.12 755 54.00 55.18 809 €6.00 82.00 65.16 70.00 71.02 944 1.00 90.32 962 55.00 82.73 978 73.00 84.95 963 69.00 05.52 1010 79.00 09.11 1024 12.00 90.97 1027 73.00 91.37 1010 50.00 99.11 1.51 1.42 1.32 1.40 1.40 1.41 1.36 1.32 5.07 5-27 -4.99 1.29 1.27 1.31 1.35 16.04 6.18 7.66 -7-07 -9.94 -7.60 1.98 1.78 83.00 80.06 68.00 77.40 1.58 82.00 74.74 1.59 097 73.00 74.00 1.57 1.78 1.87 12.27 1.96 1.98 2.13 35 36 37 39 900 69.00 74.48 39 916 6.00 76.61 1.65 -1.18 3.63 2.23 -18.37 2.11 -16.52 -10.11 1.03 11.61 2.54 10.60 -1.00 4.50 -5.40 -0.20 -1.27 Values of Predictors for the observations Sew One Boats 1 500 1.00 -0.15 2.15 0.79 1.59 0.13 -2.412 0.12 1.36 1.21 2 denotes an observation with a large standardized residual. Predicted Values for Now Observations New Obe 74.40 1.59 (71.26, 77.49) (30.06, 30.05) (a) What is a 95% interval for the increase in the number of manatees killed for each additional 1000 boats registered? 80.08 to 92.32 0.119 to 0.147 86.74 to 98.98 0.123 to 0.132 (b) What is a 95% interval for the number of manatees that will be killed next year if there are 900,000 boats registered next year? 72.34 to 104.90 58.06 to 90.89 80.08 to 92.32 86.74 to 98.98 The output in the figure includes prediction of the number of manatees killed when there are 900,000 boats registered in Florida.
Transcribed Image Text:The figure shows part of the JMP regression output. JMP Regression Analysis: Kills versus Boats The regression equation in ille-45.3 +0.133 Boat Predictor Constant -45.270 Boats 81.94642 R-g90.98 R-qind) = 90.69 Analysis of variance Bource DE 3 4 5 4 Residual Bro 37 2336 38 25451 Obs Boats Fills 8 9 10 12 13 14 15 16 17 18 Coef Co 20 21 22 24 25 0.133051 0.006954 26 27 20 30 31 32 MS T 123115 23115 366.06 0.000 Fit 35 Fit Residual 1 Resid 447 13.00 14.20 460 21.00 15.93 16.00 20.99 513 24.00 22.99 2.25 2.14 512 20.00 22.95 2.17 -2.85 526 15.00 24.71 2.09 -9.71 -1.27 34.00 29.11 1.91 33.00 32.56 1.70 0.44 -1.56 -1.54 0.67 414 33.00 36.42 1.65 645 39.00 40.55 675 43.00 44.54 711 50.00 49.33 319 47.00 50.39 53.00 43.34 679 30.00 45.07 679 35.00 44.94 494 49.00 47.33 313 132 60.00 52.12 755 54.00 55.18 809 €6.00 82.00 65.16 70.00 71.02 944 1.00 90.32 962 55.00 82.73 978 73.00 84.95 963 69.00 05.52 1010 79.00 09.11 1024 12.00 90.97 1027 73.00 91.37 1010 50.00 99.11 1.51 1.42 1.32 1.40 1.40 1.41 1.36 1.32 5.07 5-27 -4.99 1.29 1.27 1.31 1.35 16.04 6.18 7.66 -7-07 -9.94 -7.60 1.98 1.78 83.00 80.06 68.00 77.40 1.58 82.00 74.74 1.59 097 73.00 74.00 1.57 1.78 1.87 12.27 1.96 1.98 2.13 35 36 37 39 900 69.00 74.48 39 916 6.00 76.61 1.65 -1.18 3.63 2.23 -18.37 2.11 -16.52 -10.11 1.03 11.61 2.54 10.60 -1.00 4.50 -5.40 -0.20 -1.27 Values of Predictors for the observations Sew One Boats 1 500 1.00 -0.15 2.15 0.79 1.59 0.13 -2.412 0.12 1.36 1.21 2 denotes an observation with a large standardized residual. Predicted Values for Now Observations New Obe 74.40 1.59 (71.26, 77.49) (30.06, 30.05) (a) What is a 95% interval for the increase in the number of manatees killed for each additional 1000 boats registered? 80.08 to 92.32 0.119 to 0.147 86.74 to 98.98 0.123 to 0.132 (b) What is a 95% interval for the number of manatees that will be killed next year if there are 900,000 boats registered next year? 72.34 to 104.90 58.06 to 90.89 80.08 to 92.32 86.74 to 98.98 The output in the figure includes prediction of the number of manatees killed when there are 900,000 boats registered in Florida.
The table gives 39 years' data on boats registered in Florida and manatees killed by boats. Florida boat registrations (thousands) and manatees killed by boats Year Boats Manatees Year Boats Manatees 1977 447 13 1990 719 47 1978 460 21 1991 681 53 1979 481 24 1992 679 1980 498 16 1993 678 1994 696 1995 713 1996 732 1997 755 1998 809 1999 830 2000 880 2001 944 2002 962 1981 513 1982 512 1983 526 1984 599 1985 585 1986 614 1987 645 1988 675 1989 711 Florida manatees killed by boats 100. 90 80 70 60- 50- 40- 30- The scatterplot shows a strong linear relationship. 20 10 24 20 15 400 33 33 39 43 50 500 This scatterplot has a linear (straight-line) overall pattern. 3328385 49 The correlation is r = 0.953. 42 60 54 66 82 78 81 95 Year Boats 2003 978 2004 983 2005 1010 2006 1024 2007 1027 2008 1010 2009 982 2010 942 2011 922 2012 902 2013 897 2014 900 2015 916 600 700 800 900 Boats registered in Florida (thousands) 1000 Manatees 73 79 92 73 90 97 83 88 81 72 69 86 1100
Transcribed Image Text:The table gives 39 years' data on boats registered in Florida and manatees killed by boats. Florida boat registrations (thousands) and manatees killed by boats Year Boats Manatees Year Boats Manatees 1977 447 13 1990 719 47 1978 460 21 1991 681 53 1979 481 24 1992 679 1980 498 16 1993 678 1994 696 1995 713 1996 732 1997 755 1998 809 1999 830 2000 880 2001 944 2002 962 1981 513 1982 512 1983 526 1984 599 1985 585 1986 614 1987 645 1988 675 1989 711 Florida manatees killed by boats 100. 90 80 70 60- 50- 40- 30- The scatterplot shows a strong linear relationship. 20 10 24 20 15 400 33 33 39 43 50 500 This scatterplot has a linear (straight-line) overall pattern. 3328385 49 The correlation is r = 0.953. 42 60 54 66 82 78 81 95 Year Boats 2003 978 2004 983 2005 1010 2006 1024 2007 1027 2008 1010 2009 982 2010 942 2011 922 2012 902 2013 897 2014 900 2015 916 600 700 800 900 Boats registered in Florida (thousands) 1000 Manatees 73 79 92 73 90 97 83 88 81 72 69 86 1100
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