1. Consider the following data on full-service restaurant sales. Calculate both the three-month and five-month moving averages for these data, and compare the forecasts by calculating the mean absolute percentage errors and MAPEs. The data are in millions of dollars.

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