Having a good measure of tidal velocity (the speed at which water depth increases) in an estuary is critically important, especially during storms. Tidal velocity is difficult to measure, but it is related to the depth of the water. Thus, a good model of this relationship would allow scientists to predict the velocity from measurements of water depth. Display 3.111 shows measurements of the depth of water (in meters) and tidal velocities (in meters per second) for certain locations in an estuary.
a. Describe the nature of the relationship between depth and velocity.
b. Fit an appropriate model that would allow the prediction of velocity from depth.
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