Suppose the researcher now estimates the following ADL(2, 2) model by adding the second lag of the central bank's rate of interest (rt-2): 1.11-2-1.09-1-1.07rt-2, R = 0.625, SER= 12.01. (1.07) (1.03) (0.71) 1.04 +1.01-1 + (1.01) (0.85) Standard errors are given in parentheses. Let 4 denote the population slope coefficient on rt-2. = The t-statistic associated with the hypothesis B4 = 0 is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) At the 5% significance level, the researcher fails to reject the hypothesis of no causal effect of rt-2 on it. Suppose the F-statistic testing the hypothesis that the coefficients on lags of the interest rate are zero is 4.43. The researcher conducts the hypothesis at the five percent significance level. This indicates that the researcher should choose the ADL(2, 2) model on the inflation rate over the AR(2) Suppose the final prediction error (FPE) estimate of MSFE is 0.15 and the values of ,-,-1, and rare 4.12, 4.23, 0.99, and 1.03, respectively. ^ The 95% forecast interval of T+117 is given by (Round your answers to two decimal places.) - 1.51. model.