The forecaster in augments her AR(4) model for IP growth to include four lagged values of ΔRt, where Rt is the interest rate on 3-month U.S. Treasury bills (measured in percentage points at an annual rate).a. The Granger-causality F-statistic on the four lags of ΔRt is 4.16. Dointerest rates help predict IP growth? Explain.b. The researcher also regresses ΔRt on a constant, four lags of ΔRt andfour lags of IP growth. The resulting Granger-causality F-statisticon the four lags of IP growth is 1.52. Does IP growth help to predictinterest rates? Explain.

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The forecaster in augments her AR(4) model for IP growth to include four lagged values of ΔRt, where Rt is the interest rate on 3-month U.S. Treasury bills (measured in percentage points at an annual rate).
a. The Granger-causality F-statistic on the four lags of ΔRt is 4.16. Do
interest rates help predict IP growth? Explain.
b. The researcher also regresses ΔRt on a constant, four lags of ΔRt and
four lags of IP growth. The resulting Granger-causality F-statistic
on the four lags of IP growth is 1.52. Does IP growth help to predict
interest rates? Explain.

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