In: Math
Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee fatalities from boat encounters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction interval estimate of manatee deaths. Use x=89 (for 890,000 registered boats) with a 99% confidence level.
Boats (tens of thousands) Manatees
67 54
68 37
66 34
73 49
74 40
70 59
76 56
82 67
83 84
83 80
90 82
91 94
95 74
93 69
97 78
99 93
97 73
98 91
98 97
91 81
90 87
90 82
89 73
90 7
Find the indicated prediction interval.
___manatees < y < manatees
(Round to three decimal places as needed.)