The total number of thousands of tons of coal produced per year over a10-year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for alpha

and beta

minimize MAD for this dataset.

alpha

=0.2

betta =0.8

a =0.5

beta =0.2

alpha = 1

=0.7

Year / Coal Production (thousands of tons)

1 434327

2 420425

3 439042

4 477199

5 504185

6 526951

7 546823

8 564878

9 556701

10 570978