f) Do much the same as the original task just over a smaller domain
f.) The economy of the United States has changed a lot since 1913, and it has had ups and downs. Pick a period of time in which the history and economy of the United States was more stable or less stable. For example, you may pick the end of World War II or the years around the Stock Market crash. Recalculate the whole exponential model for just that period of time. This means you are getting a new graph and new exponential equation for a smaller subset of the data. Write the new equation and R2 value.
g.) Explain which year you chose and why.
h.) Did your second model fit better or worse? How do you know?
The linear equation corresponds to the exponential before.
c.) How is the linear equation you just got using the natural logarithm of the data related to the exponential curve you found in the previous question? Answer the following question and use the properties of logarithms to find out.
Write the exponential equation from the previous question and take the ln of this equation.
Caution: use the properties of logs to write the ln of two multiplied numbers as two separate logs. Similarly, use the properties of logs to properly rewrite the ln of e to a power.