Implement Simple Exponential Smoothing, Holt's Exponential Smoothing, Winter's Exponential Smoothing.

In each case, plot the data and the model.

Which method is better? $($You can look at MAPE or RMSE$).$

Use the data in file c$3$p$13$ Date Sales

Mar$-021,866$

Jun$-021,666$

Sep$-022,351$

Dec$-022,455$

Mar$-032,169$

Jun$-031,815$

Sep$-032,498$

Dec$-032,637$

Mar$-042,326$

Jun$-042,020$

Sep$-042,858$

Dec$-042,915$

Mar$-052,725$

Jun$-052,283$

Sep$-053,134$

Dec$-053,066$

Mar$-062,876$

Jun$-062,445$

Sep$-063,190$

Dec$-063,407$

Mar$-073,197$

Jun$-072,575$

Sep$-073,290$

Dec$-073,693$

Mar$-083,273$

Jun$-082,713$

Sep$-083,514$

Dec$-083,794$

Mar$-093,480$

Jun$-092,943$

Sep$-093,654$

Dec$-094,108$

Mar$-103,628$

Jun$-103,203$

Sep$-104,051$

Dec$-104,010$

Mar$-113,719$

Jun$-113,084$

Sep$-114,234$

Dec$-114,073$

Mar$-123,983$

Jun$-123,132$

Sep$-124,328$

Dec$-124,007$

Mar$-133,969$

Jun$-133,257$

Sep$-134,824$

Dec$-134,129$

Mar$-144,298$

Jun$-143,312$

Sep$-144,811$

Dec$-144,336$

Mar$-154,261$

Jun$-153,278$

Sep$-154,991$

Dec$-154,447$