## Using the Experimental Data to Help Form a Model

The above graph is simply a plot of the 1st and 3rd rows from Table 2. It graphs average energy as a function of height, which we are interested in, but only for **specific heights**. Ideally, we would like to find a curve that gives the average energy as a function of **any height**. We will fit an appropriate curve to the above data points using the method of least squares regression. The most recent form of our working equation is given by equation 5. In Table 2, we essentially extended that idea to form a new equation,

In order to write *E _{avg}* as a function of height, we simply need to find

*N*as a function of height. We will proceed by doing so graphically.

_{avg}Exercise 8: Examine the graph of *N _{avg}* versus

*H*

*and answer the following questions:*

a) What property of this graph relates to the fact that at least one drop is required to break open a whelk?

b) Discuss the potential of a vertical asymptote. Should there be one? If so, where might it be located?

c) What type of function is required to fit a curve to this data?