Estimation of Energy Demand Function

i- Calculate gasoline per capita consumption (GPC) and draw a line graph and interpret the trend.

Economic theory suggest the following, in relation to a demand function for the gasoline:

GPC = f(PG, Y, PNC, PUC)

With a regression model in log form as follows:

log GPC = logA + B1 log PG + B2 log Y + B3 log PNC + B4 log PUC

ii- Determine the signs of regression coefficients using economic theory and provide reasoning

iii- Run a simple regression model (by using equation 1 above) and interpret regression coefficients and elasticities and provide reasoning for each coefficient. Are the regression coefficients similar to the economic theory? If not, what could be the reason? Consult some academic literature.

iv- Now create previous year gasoline consumption (LPrevGPC) variable as an independent variable and re-run regression model (equation 2) as follows:

log GPC = logA+B1 log PG+B2 log Y +B3 log PNC+B4 log PUC+B5 log PrevGPC,

Where the expression B1/(1 − B5) is in fact long run elasticity of demand. Calculate this long run elasticity of demand and interpret the number by comparing it with short run price elasticity. What conclusion would you draw from these estimates?

v- What sort of recommendations you would make as an analyst to an energy firm operating in the USA in relation to the pricing and disposable income in particular.