Ice-Cream Production in USA - Economics Assignment Help

Assignment Task

Ice-cream production in USA
In the virtual campus you have available a database of ice-cream production in USA between 1929 and 1940. You should:
1. Make a plot with the two variables with respect to time.
2. Specify a model in which the consumers disposable income explains the ice-cream production.
3. Compute the parameter's coefficients using OLS and interpret them.
4. Compute the error and parameter's variance.
5. Compute the coecient of determination (R2) and the adjusted coefficient of determination (R¯2).
6. Show that the months parameters are jointly significant in order to explain ice-cream production.
7. Test if the December parameter is significative.
As you will have observed, the disposable income leaves a huge part of the data variability unexplained. As the ice-cream consumption is seasonal (it will be principally consumed in summer), the production will be too. In order to solve the seasonality it would be interesting to introduce a set of dummy variables accounting for each month of the year which will capture this variability.
8. Specify a model with dummy variables and the disposable income as explanatory variables of the ice-cream production.
9. Compute and interpret the above coecients. Clue: if you have problems inverting the matrix take into account the dummy variables trap
10. Compute the error and parameter's variance.
11. Compute the coefficient of determination (R2) and the adjusted coecient of determination (R¯2).
12. Interpret the coefficients and choose the model which explains the best the ice-cream production in USA.

Spanish job market
In the Platform you have available the data from the EPA (Encuesta de Población Activa) by communities between 2002 and 2017. In the Script you have the data divided by Sex, Age and Autonomous Community.
1. Specify a model where the sex explains the unemployment and compute the coefficients and variance.
2. Run a test in order to know if the sex influences the probability of being unemployed. May be the different Autonomous Communities have certain particularities inuencing the probability of being unemployed.
3. Specify a model with the Autonomous communities helping sex to explain the individual unemployment situation.
4. In order to ensure that the Autonomous Communities should be in the model make a parameter's joint signication test in order to know it. (i.e. all the community betas
are equal to zero).
5. Test if Asturias and Cantabria have the same coefficients.
The economic crisis that started a decade ago may have inuenced the structure of the labour market. In order to test it:
6. Specify a model with the unemployment explained by the age and estimate the parameters and variance.
7. Specify another model taking into account the seasonality in order to explain the unemployment. Compute the parameters and variance.
8. Specify another model taking into account the seasonality and the different sets of age in order to explain the unemployment. Compute the parameters and variance.
9. In order to know if eectively the crisis has produced a structural change in the Spanish job market we want to run a structural contrast test of the model where the age sets are explaining the unemployment. We could date the beginning of the crisis at the crash of Lehman Brothers at September of 2008.
10. Repeat the above model considering that it is seasonality the cause of unemployment.
11. Interpret the above test and, if there exist, explain the above differences.

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