Q5. In the data set in the following Table, W denotes the weight (in pounds) and the length (in inches) for 15 alligators captured in central Florida. Because 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 x = lnl_y=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 specified lengths. Fit the model In W = In ao aln = o + Bx + to the data. Find a 90% prediction interval for W if In is observed to be 4.00.