Write down the areas of travel you wish to find trends for. For example, if you hope to see what the trends are for travel between Los Angeles and New York City, you would write these cities down along with any nearby major airports.
Log on to tracking websites such as FareCompare.com.
Enter in your regions of choice and all other information fields to get the air fare trends.
Gather fare data over a set period of time, say 10 years.
Enter this data into a set of prediction algorithms. The Levinson-Durbin Recursion is such a prediction algorithm to use for the task. Use the scientific calculator for the data entry and algorithm calculations.
Collect the results after the calculations to see trends in airfares based on dates, times traveled and how the fares change.