Using gret l for Principles of Econometrics, 4th Edition

# Elasticity

Elasticity is an important concept in economics. It measures how responsiveness one variable is to changes in another. Mathematically, the concept of elasticity is fairly simple:

percentage change in y Ay/y

percentage change in x Ax/x '

In terms of the regression function, we are interested in the elasticity of average food expenditures with respect to changes in income:

E(y) and x are usually replaced by their sample means and в2 by its estimate. The mean of food_exp and income can be obtained by using the cursor to highlight both variables, use the

View>Summary statistics from the menu bar as shown in Figure 2.10, and the computation can be done by hand. However, you can make this even easier by using the gretl language to do all of the computations-no calculator needed! Simply open up a new script and type in:

1 ols food_exp const income —quiet

2 scalar elast=\$coeff(income)*mean(income)/mean(food_exp)

This yields the output shown in figure 2.11.

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