[Updated: I re-estimated this with daily consumption instead of monthly consumption for the simple reason that some months have more days than others. The F-score took a hit, but the model is more accurate, overall, I think.]
I decided to play around with some of the stuff I’ve been learning in my econometrics class to estimate a demand equation for gasoline.
Here is the actual demand equation:

(Click to enlarge.) The main idea is this: for every one cent increase in the price of gas, daily gasoline consumption drops by .0001378 gallons per person.
There are issues here with simultaneous equations bias (more than one equation sets price — we also have to worry about supply), so interpret this with several grains of salt.
Eventually, I’d like to use this model to calculate the elasticity of demand for gasoline. It might also be interesting to calculate the potential revenue of additional excise taxes on gas.
Now, time for some technical mumbo jumbo. Data used includes monthly gasoline consumption and monthly average gas prices (from the Department of Transportation) and monthly population estimates (from the Federal Reserve). Gas consumption is per person per day (by dividing total gas consumption by population by # of days in the month); gas prices are adjusted by the CPI to compensate for inflation. Data ranges from January 2002 to October 2009.
I decided to control for time of year because there is enormous variation in gas consumption by season. Demand peaks in the summer and bottoms out in January:

The bottom range of dots occurred when prices spiked in 2008 — the lowest consumption ever occurred in September of 2008. Prices peaked in July of 2008, at $4.07/gallon nationwide. That huge outlier does skew the model quite a bit, because the coefficient on the dummy variable for September is very low, and the p-score for September tells us the estimate isn’t particularly reliable.
Finally, for those who want to know a bit more about the model I used, here is the Stata output:

As you can see, both the F-score and R-squared value indicate that this is a well-specified model that explains a large proportion of the variation in gas consumption.
Saturday, April 3, 2010 | 13:52
Filed under: Energy/Environment, Politics/Society by Dries
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