In: Statistics and Probability
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 equals =83 (for 830,000 registered boats) with a 99% confidence level.
Boats (tens of thousands)   Manatees
66   55
67   39
66   34
69   51
69   40
74   61
77   56
84   69
83   80
82   77
87   83
89   97
94   75
94   69
97   78
99   91
97   71
99   88
92   98
93   81
93   88
87   82
88   72
87   66