ECON 2220 E Fall 2023 Assignment 3

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Carleton University *

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2220

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Economics

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Jan 9, 2024

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ECON 2220 E Fall 2023 Simon Power Assignment 3: Due December 8 PLEASE BE SURE TO READ THE DOCUMENT ENTITLED “GENERAL ASSIGNMENT GUIDELINES” BEFORE YOU BEGIN THIS ASSIGNMENT. ALL REFERENCES ARE TO THE 7 th EDITION OF STUDENMUND. UNLESS SPECIFIED OTHERWISE, USE A 5% SIGNIFICANCE LEVEL FOR ALL TESTS. ASSIGNMENTS SHOULD BE SUBMITTED THROUGH BRIGHTSPACE EITHER ON OR BEFORE THE DUE DATE. IF IN DOUBT, PROVIDE MORE DETAIL IN YOUR ANSWERS, RATHER THAN LESS. NOTE: If a statistical table does not give an entry for the appropriate number(s) of degrees of freedom, then use the closest number(s) of degrees of freedom available. 1. Professor Boysenberry has developed a wage model, which can be stated as follows: ?𝐴?? 𝑖 = 𝛽 0 + 𝛽 1 ? 𝑖 + 𝛽 2 ??? 𝑖 + 𝛽 3 𝐴?? 𝑖 + 𝛽 4 ?????? 𝑖 + 𝛽 5 ?? 𝑖 + 𝜖 𝑖 𝑖 = 1, 2, … , 500 where the underlying variables are defined as follows: WAGE = current hourly wage in $ S = years of schooling EXP = years of out-of-school work experience AGE = age in years HEIGHT = height in inches IQ = composite IQ score, normalized to have a mean of zero and units of one standard deviation together with the dataset A3Q1.dta, which is available in Brightspace. a) Do you believe that this is a good model of wage determination? Carefully explain your reasoning. b) Using STATA, estimate the model and then copy and paste the output into your assignment. c) Using STATA, obtain basic summary statistics for all of the variables which appear in the model and then copy and paste the output into your assignment. d) Using STATA, compute the correlation matrix for the set of explanatory variables which appear in the model and then copy and paste this correlation matrix into your assignment. e) Using STATA to run the relevant regressions, calculate the VIFs for this model using the steps outlined on p. 234 in Section 8.3, together with the formula given in equation (8.16). Be sure to copy and paste all of the STATA output into your assignment.
2 f) Check your answers to part e), by using the STATA vif post-estimation command. Be sure to copy and paste the relevant output into your assignment. g) Using Klein’s Rule of Thumb (discussed in footnote 6 on p. 235 in Section 8.3), do any of the ? 2 values from the auxiliary regressions run in part e) suggest the presence of multicollinearity? Explain. h) Review your answers to parts b), c), d), e), f), and g) and then draw an overall conclusion as to whether there is any evidence of a significant degree of multicollinearity in the model. Explain. i) Can you suggest a remedy for the multicollinearity issue, if any, in this model? Explain. 2. Consider the following time-series demand function model for gasoline and oil: 𝑙𝑛?𝐴???𝐿 𝑡 = 𝛽 0 + 𝛽 1 ??? 𝑡 + 𝛽 2 ???𝐴???𝐿 𝑡 + 𝜖 𝑡 𝑡 = 1, 2, … , 45 where the variables are defined as follows: ln GASOIL = natural logarithm of consumer expenditure on gasoline and oil DPI = aggregate disposable personal income RPGASOIL = relative price index for gasoline and oil and ???𝐴???𝐿 = ( ?𝐺𝐴??𝐼𝐿 ???𝐸 ) × 100 where PGASOIL = nominal price index for gasoline and oil PTPE = nominal price index for total personal expenditures together with the dataset A3Q2.dta, which is available in Brightspace. a) Using an appropriate set of STATA commands, estimate this model, and then copy and paste the output into your assignment. Be sure to include ALL your STATA commands in this output. NOTE: At the beginning of your STATA program, be sure to tell STATA that this is a time- series regression and that “ YEAR ” is the time variable. (See p. 9 -1 in Chapter 9 of Using STATA: A Practical Guide.) b) Using STATA, plot the residuals from your estimated regression equation in a line graph against YEAR . (To produce a line graph in STATA, you can just replace “scatter” with “line” in the graph command which I discussed in class.) Copy and paste your line graph into your assignment. Does your graph exhibit any signs of serial correlation? Explain.
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