Use the data c$3$p$5($The data are the rates offered on certificate of deposit at a large metropolitan bank during a recent year.$)$

a$)$ Use a three$-$month moving average to forecast the rate for the following January.

b$)$ Make a time$-$series plot to display the original data and the three$-$month moving average $($including the forecast for January $2017)$

c$)$ Calculate the MAE for your forecasts for April $16-$ Dec $16.$

d$)$ Calculate the MAPE for your forecasts for April $16-$ Dec $16.$

e$)$ Calculate the RMSE for your forecasts for April $16-$ Dec $16.$