Suppose you have data on two economiC variables, X1 and X2. You are interested in learning whnether X2 causes, in Granger sense, X1. To test the hypothesis, you estimated a vivariate VAR(2) model. The estimates of the coefficients of the first equation of this vector autoregressive model are given below (where the values in parentheses are the standard errors of the associated coefficients): æ1,t = 0.23 + 0.64xit-1+ 0.21a1t-2 +0.41a2t-1+ 0.23r21-2 (9,31) (0.13) (0.17) (0.71) (0.22)

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Suppose you have data on two economic variables, X1 and X2. You are interested in learning whether X2 causes, in Granger
sense, X1. To test the hypothesis, you estimated a vivariate VAR(2) model. The estimates of the coefficients of the first
equation of this vector autoregressive model are given below (where the values in parentheses are the standard errors of
the associated coefficients):
æ1,t = 0.23 + 0.64x1t-1 +0.2121,t-2+ 0.41a2t-1 + 0.23x2t-2
(0.71)
(0.13)
(0.17)
(0.22)
(0.31)
Based on the provided information, please select the correct answer:
O There is no evidence of Granger causality because none of the estimated coefficients associated with the lag of X2 is statistically
significantly different from zero.
O There is evidence of Granger causality because at least one of the estimated coefficients is statistically significantly different from zero.
O There is evidence of Granger causality because at least one of the estimated coefficients associated with the lag of X2 is statistically
significantly different from zero.
O Insufficient information is provided to give a definitive answer regarding the Granger causality.
Transcribed Image Text:Suppose you have data on two economic variables, X1 and X2. You are interested in learning whether X2 causes, in Granger sense, X1. To test the hypothesis, you estimated a vivariate VAR(2) model. The estimates of the coefficients of the first equation of this vector autoregressive model are given below (where the values in parentheses are the standard errors of the associated coefficients): æ1,t = 0.23 + 0.64x1t-1 +0.2121,t-2+ 0.41a2t-1 + 0.23x2t-2 (0.71) (0.13) (0.17) (0.22) (0.31) Based on the provided information, please select the correct answer: O There is no evidence of Granger causality because none of the estimated coefficients associated with the lag of X2 is statistically significantly different from zero. O There is evidence of Granger causality because at least one of the estimated coefficients is statistically significantly different from zero. O There is evidence of Granger causality because at least one of the estimated coefficients associated with the lag of X2 is statistically significantly different from zero. O Insufficient information is provided to give a definitive answer regarding the Granger causality.
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