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$).$

Date: Mar$-02$

Jun$-02$

Sep$-02$

Dec$-02$

Mar$-03$

Jun$-03$

Sep$-03$

Dec$-03$

Mar$-04$

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Sep$-05$

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Sep$-06$

Dec$-06$

Mar$-07$

Jun$-07$

Sep$-07$

Dec$-07$

Mar$-08$

Jun$-08$

Sep$-08$

Dec$-08$

Mar$-09$

Jun$-09$

Sep$-09$

Dec$-09$

Mar$-10$

Jun$-10$

Sep$-10$

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Mar$-11$

Jun$-11$

Sep$-11$

Dec$-11$

Mar$-12$

Jun$-12$

Sep$-12$

Dec$-12$

Mar$-13$

Jun$-13$

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Mar$-14$

Jun$-14$

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Mar$-15$

Jun$-15$

Sep$-15$

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SALES:

$1,866$

$1,666$

$2,351$

$2,455$

$2,169$

$1,815$

$2,498$

$2,637$

$2,326$

$2,020$

$2,858$

$2,915$

$2,725$

$2,283$

$3,134$

$3,066$

$2,876$

$2,445$

$3,190$

$3,407$

$3,197$

$2,575$

$3,290$

$3,693$

$3,273$

$2,713$

$3,514$

$3,794$

$3,480$

$2,943$

$3,654$

$4,108$

$3,628$

$3,203$

$4,051$

$4,010$

$3,719$

$3,084$

$4,234$

$4,073$

$3,983$

$3,132$

$4,328$

$4,007$

$3,969$

$3,257$

$4,824$

$4,129$

$4,298$

$3,312$

$4,811$

$4,336$

$4,261$

$3,278$

$4,991$

$4,447$