You have re-estimated the two variable VAR model of the change in the inflation rate and the unemployment rate presented in your textbook using the sample period 1982:I (first quarter)to 2009:IV. To see if the conclusions regarding Granger causality of changed, you conduct an F-test for this new sample period. The results are as follows: The F-statistic testing the null hypothesis that the coefficients on Unemp_t_-₁, Unemp_t_-₂, Unemp_t_-₃, and Unempl_t_-₄ are zero in the inflation equation (Equation 16.5 in your textbook)is 6.04. The F-statistic testing the hypothesis that the coefficients on the four lags of ΔInf_t are zero in the unemployment equation (Equation 16.6 in your textbook)is 0.80.
a. What is the critical value of the F-statistic in both cases?
b. Do you think that the unemployment rate Granger-causes changes in the inflation rate?
c. Do you think that the change in the inflation rate Granger-causes the unemployment rate?

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The Answer of You have re-estimated the two variable VAR model of the change in the inflation rate and the unemployment rate presented in your textbook using the sample period 1982:I (first quarter)to 2009:IV. To see if the conclusions regarding Granger causality of changed, you conduct an F-test for this new sample period. The results are as follows: The F-statistic testing the null hypothesis that the coefficients on Unemp_t_-₁, Unemp_t_-₂, Unemp_t_-₃, and Unempl_t_-₄ are zero in the inflation equation (Equation 16.5 in your textbook)is 6.04. The F-statistic testing the hypothesis that the coefficients on the four lags of ΔInf_t are zero in the unemployment equation (Equation 16.6 in your textbook)is 0.80. a. What is the critical value of the F-statistic in both cases? b. Do you think that the unemployment rate Granger-causes changes in the inflation rate? c. Do you think that the change in the inflation rate Granger-causes the unemployment rate?

You Have Re-Estimated the Two Variable VAR Model of the Change