Florida boat

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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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