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Question

Statistics, Econometrics & Mathematical Economics Question on The elasticity of demand and its measurement

The following table provides different statistical model specifications along with the elasticity of yt with respect to xt. Which one of the following options is correct ?RowStatistical ModelElasticity
1yt=β1+β21xtϵty_t=β_1+β_2\frac{1}{x_t}\epsilon_tβ2xt2-\frac{β_2}{x^2_t}
2yt=β1β2ln(xt)+ϵty_t=β_1-β_2\text{ln}(x_t)+\epsilon_tβ2xt2-\frac{β_2}{x^2_t}
3ln(yt) = β1 + β2 ln(xt) + εtβ2
4ln(yt) = β1 + β2xt + εtβ2xt
5ln(yt) = β1 + β2 ln(xt) + εtβ2 exp(xt)
6ln(yt) = β1 + β2xt + εtβ21exp(xt)β_2\frac{1}{\text{exp}(x_t)}
A

Only rows 3 and 4 are correct

B

Only rows 1 and 2 are correct

C

Only rows 3 and 5 are correct

D

Only rows 4 and 6 are correct

Answer

Only rows 3 and 4 are correct

Explanation

Solution

The correct option is (A) : Only rows 3 and 4 are correct.