Company A wants to test three major forecasting techniques on a historical data that they have in terms of the forecasting accuracy on a certain products weekly sales data. They have recorded the sales values in the last 13 weeks and you can see the corresponding value of each week as a time series data in the below table.

Period	Actual
1	352
2	324
3	338
4	400
5	360
6	263
7	276
8	396
9	309
10	300
11	327
12	371
13	287

Please use this historical data to perform the following actions:

Plot the time series as a scatter plot (4 pts)

Make forecasts starting from the 9^th period for five periods using moving average method (you can choose n=5; that is the number of historical data points you should use in calculation) (4 pts)

Make forecasts starting from the 9^th period for five periods using weighted moving average method (you can use the following weight scheme w_t-1= 0.3, w_t-2= 0.2, w_t-3= 0.2, w_t-4= 0.15, w_t-5= 0.15 ) (4 pts)

Make forecasts starting from the 9^th period for five periods using exponential smoothing method (you can use smoothing factor as 0.25 ) . (4 pts)

Calculate the accuracy metrics we covered in class for all the methods you used above. Make a comparison between the techniques. (HINT: The numbers in red italic is used for performance assessment. (3 pts)