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In the data set in the following Table, W denotes the weight (in pounds) and l the length (in inches) for 15 alligators captured in central Florida. Because i is easier to observe (perhaps from a photograph) than W for alligators in their natural habitat, we want to construct a model relating weight to length. Alligator z = 1115 "g = In W 1 3.87 4.87 2 3.61 3.93 3 4.33 6.46 4 3.43 3.33 5 3.81 4.38 6 3.83 4.70 '7 3.46 3.50 8 3.76 4.50 9 3.50 3.58 10 3.58 3.64 11 4.19 5.90 12 3.78 4.43 13 3.71 4.38 14 3.73 4.42 15 3.78 4.25 Such a model can then be used to predict the weights of alligators of specied lengths. Fit the model an : lnag+a11n+6250+lx+e to the data. Find a 90% prediction interval for W if Int is observed to be 4.00