Discuss the below:
Q: The following data concerns fuel sales by a distributor and is given in thousands of gallons.
Case 1 Case 2 Case 3
JAN 15 12 12
FEB 17.5 15.5 15.5
MAR 20 19 19
APR 22.5 23.5 23.5
MAY 25 27 27
JUN 27.5 30.5 30.5
JUL 30 33 33
AUG 32.5 34.5 34.5
SEP 35 36 36
OCT 37.5 36.5 36.5
NOV 40 38 38
DEC 42.5 39.5 39.5
JAN 45 42 43.5
FEB 47.5 45.5 46.5
MAR 50 49 49.5
APR 52.5 53.5 53
MAY 55 57 56
JUN 57.5 60.5 59
JUL 60 63 61.5
AUG 62.5 64.5 63.5
SEP 65 66 65.5
OCT 67.5 66.5 67
NOV 70 68 69
DEC 72.5 69.5 71
For each of the cases predict the fuel sales for the next twelve-month period. Chose the prediction method that you think will give you the best prediction. Briefly describe the prediction method used and your rationale for selecting that method