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 Unempt-1, Unempt-2, Unempt-3, and Unemplt-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 Inft 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?
What will be an ideal response?
Question 2
The linear multiple regression model can be represented in matrix notation as Y= X + U, where X is of order n(k+1). k represents the number of
A) regressors.
B) observations.
C) regressors excluding the constant regressor for the intercept.
D) unknown regression coefficients.
Question 3
The OLS estimator
A) has the multivariate normal asymptotic distribution in large samples.
B) is t-distributed.
C) has the multivariate normal distribution regardless of the sample size.
D) is F-distributed.
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