The natural question to ask, or at least one that I wanted them to ask, is “How much water is leaking over time?” To answer this question we ran a regression model to predict the number of drops as a function of time. Watching the water fountain we started a stop watch and recorded the time of each drop. Below is our data and regression model for Number of drops as a function of Time since we started the stop watch.

Using the best fit line we predicted the number of drops that would occur for different time periods. Immediately after recording the video I collected 30 water droplets and measured their collective volume. The 30 droplets measured 7.8ml. Using this information we could approximate the volume of a single droplet.

The model predicts that in one day (24 hours) about 2 gallons of water will spill on the ground!

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## About 4th Order Approximations

I like math. I teach math.