Plot the data presented in Exercise 7 to examine the possible existence of trend and seasonality in the data.

1. Prepare three separate exponential smoothing models to forecast the full-service restaurant sales data using the monthly data.
2. Prepare three separate exponential smoothing models to forecast the full-service restaurant sales data using the monthly data.
3. Examine the accuracy of each model by calculating the mean absolute percentage error for each during the historical period. Explain carefully what characteristics of the original data led one of these models to have the lowest MAPE.

Data from Exercise 7

Date	Sales (000,000)		Date	Sales (000,000)		Date	Sales (000,000)		Date	Sales (000,000)
Jan-02	6910		Aug-05	9035		Feb-09	9515		Sep-12	11743
Feb-02	6959		Sep-05	8271		Mar-09	10385		Oct-12	12129
Mar-02	7268		Oct-05	8328		Apr-09	10571		Nov-12	12003
Apr-02	7023		Nov-05	7987		May-09	10792		Dec-12	12794
May-02	7555		Dec-05	8383		Jun-09	10553		Jan-13	11811
Jun-02	7021		Jan-06	7532		Jul-09	11083		Feb-13	11523
Jul-02	7297		Feb-06	7943		Aug-09	10939		Mar-13	12957
Aug-02	7558		Mar-06	8685		Sep-09	10297		Apr-13	12423
Sep-02	6945		Apr-06	8502		Oct-09	11056		May-13	13741
Oct-02	7464		May-06	8977		Nov-09	10229		Jun-13	13250
Nov-02	7138		Jun-06	8716		Dec-09	10703		Jul-13	13673
Dec-02	7355		Jul-06	8978		Jan-10	10092		Aug-13	14329
Jan-03	6854		Aug-06	9548		Feb-10	10532		Sep-13	12465
Feb-03	6699		Sep-06	8675		Mar-10	11464		Oct-13	13026
Mar-03	7324		Oct-06	9032		Apr-10	11240		Nov-13	12606
Apr-03	7514		Nov-06	9005		May-10	11393		Dec-13	13281
May-03	7898		Dec-06	8921		Jun-10	11332		Jan-14	12953
Jun-03	7814		Jan-07	8688		Jul-10	11752		Feb-14	12926
Jul-03	8049		Feb-07	8640		Aug-10	11581		Mar-14	13709
Aug-03	8322		Mar-07	9592		Sep-10	11257		Apr-14	13324
Sep-03	7730		Apr-07	9332		Oct-10	11447		May-14	14042
Oct-03	8049		May-07	9976		Nov-10	10742		Jun-14	13669
Nov-03	7449		Jun-07	9460		Dec-10	11372		Jul-14	14572
Dec-03	7774		Jul-07	10071		Jan-11	10726		Aug-14	14149
Jan-04	6998		Aug-07	10517		Feb-11	10691		Sep-14	13268
Feb-04	7275		Sep-07	9539		Mar-11	11919		Oct-14	13918
Mar-04	8177		Oct-07	9850		Apr-11	11312		Nov-14	12992
Apr-04	8143		Nov-07	9227		May-11	12002		Dec-14	14312
May-04	8364		Dec-07	9699		Jun-11	12191		Jan-15	13202
Jun-04	8292		Jan-08	9147		Jul-11	12374		Feb-15	13260
Jul-04	8689		Feb-08	9114		Aug-11	12797		Mar-15	14359
Aug-04	8661		Mar-08	9972		Sep-11	11292		Apr-15	14368
Sep-04	8080		Apr-08	9825		Oct-11	11523		May-15	14687
Oct-04	8264		May-08	10423		Nov-11	11259		Jun-15	14445
Nov-04	7822		Jun-08	10203		Dec-11	12596		Jul-15	15142
Dec-04	8352		Jul-08	10458		Jan-12	11520		Aug-15	14905
Jan-05	7507		Aug-08	10541		Feb-12	11414		Sep-15	13982
Feb-05	7341		Sep-08	9844		Mar-12	12696		Oct-15	14575
Mar-05	8243		Oct-08	10455		Apr-12	12140		Nov-15	13838
Apr-05	8269		Nov-08	9715		May-12	12857		Dec-15	15478
May-05	8615		Dec-08	10338		Jun-12	12685
Jun-05	8549		Jan-09	9583		Jul-12	12873
Jul-05	8902					Aug-12	13357