Many wildlife populations are monitored by taking aerial photographs. Information about the number of animals and their whereabouts is important to protecting certain species and to ensuring the safety of surrounding human populations. In addition, it is sometimes possible to monitor certain characteristics of the animals. The length of an alligator can be estimated quite accurately from aerial photographs or from a boat. However, the alligator's weight is much more difficult to determine. The example below provides data on the length (in inches) and weight (in pounds) of alligators captured in central Florida. Develop a model in which the weight of an alligator can be predicted from its length. Show ALL of your thinking.

Length Weight
58 28
61 44
63 33
68 39
69 36
72 38
72 61
74 54
74 51
76 42
78 57
82 80
85 84
86 83
86 80
86 90
88 70
89 84
90 106
90 102
94 110
94 130
114 197
128 366
147 640
(10 points)

1 answer

3.80127(1.03605)^x