Using a four$-$month moving average, determine the two$-$step$-$ahead forecast for July through December $2023.$ That is$,$ start at the end of May, make an MA$(4)$ forecast for July at the end of May. Then observe June sales and at the end of June, make a forecast for August and so on$.$ Compute the MAD.

Comparing the one$-$step$-$ahead forecasts computed in the previous question and the two$-$step$-$ahead forecasts in this question, which method gave better results? Based on your understanding of time$-$series forecasting, why did this method give better results?