Interpretations of the Estimated Coefficients for lnPopDen and UrbPop - Economics Assignment Help

Assignment Task:

Task:

9. (6 points) Now, estimate the following regression model, 2 01 2 3 4 ln 2 ln (ln ) ln CO GDP GDP PopDen UrbPop i i i i ii      E EE E EH where ln X represents the natural log of the variable X.??Report the regression output from Excel and write down the estimated sample regression equation.

10. (6 points) On the model estimated in Question 9, provide economic interpretations of the estimated coefficients for lnPopDen and UrbPop.

11. (10 points) Using the regression model estimated in Question 9, calculate the predicted values of lnCO2 for a range of lnGDP observed in the sample (with 0.1 increments) whilst keeping the values of lnPopDen and UrbPop at their respective sample means.??Plot the predicted values of lnCO2 (vertical axis) against lnGDP (horizontal axis).??Describe the relationship between CO2 emissions per capita and GDP per capita as implied by the estimated regression model.

12. (8 points) From the model estimated in Question 9, derive the expression for the elasticity of CO2 emission with respect to per capita GDP, and calculate the level of per capita GDP at which the elasticity changes sign (either from negative to positive or positive to negative).

13. (10 points) Based on the regression model estimated in Question 9, test a joint hypothesis that true population coefficients for lnPopDen and UrbPop are both equal to zero at a 5% significance level.??State clearly the null and alternative hypothesis.

14. (10 points) Construct a dummy variable Z such that 1 Zi if lnGDPi is below the sample median of lnGDP and 0 Zi if lnGDPi is above the median.??Modify the model estimated in Question 9 by adding Z and its interaction term with each of the four explanatory variables (i.e., lnGDPi , 2 (ln ) GDPi , ln i PopDen ,and UrbPopi ) on the right?hand side of the equation.??Write down the estimated sample regression equation.

15. (10 points) On the model estimated in Question 14, provide an economic interpretation of the estimated coefficients for Z and for the interaction term between Z and lnPopDen.

16. (10 points) On the model estimated in Question 14, test if a joint hypothesis that the coefficient for Z and those for all four interaction terms are all equal to zero at a 10% significance level.??State clearly the null and alternative hypothesis.

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