Estimated Parameters of Exponential Smoothing
Parameter	Value
alpha	0.423371990682941
beta	0.0195569935214878
gamma	0.730774983925955

Interpolation Forecasts of Exponential Smoothing
t	Observed	Fitted	Residuals
13	55	58.9023392751817	-3.90233927518170
14	60	62.8634077747937	-2.86340777479365
15	59	60.546313553452	-1.54631355345199
16	58	58.475457358636	-0.47545735863595
17	53	52.6409854174408	0.359014582559205
18	57	56.1241628758627	0.875837124137291
19	57	61.2947882409337	-4.29478824093374
20	53	55.6947116162030	-2.69471161620295
21	54	46.554605496123	7.44539450387703
22	53	51.1657213287351	1.83427867126492
23	57	47.4515283774653	9.54847162253474
24	57	60.6274256909451	-3.62742569094512
25	55	51.2492026821145	3.7507973178855
26	49	58.6305811592515	-9.63058115925155
27	50	54.0261322304602	-4.0261322304602
28	49	51.4089408524789	-2.40894085247891
29	54	45.7257468904879	8.27425310951212
30	58	52.5544652279684	5.44553477203164
31	58	57.4309098105022	0.569090189497842
32	52	54.6943984799615	-2.69439847996153
33	56	49.7645607960945	6.23543920390546
34	52	51.6194578680072	0.380542131992812
35	59	50.3566340598945	8.64336594010547
36	53	57.555527799128	-4.55552779912804
37	52	51.0814827200731	0.91851727992691
38	53	51.3707331095737	1.62926689042625
39	51	54.0787039994874	-3.07870399948737
40	50	52.7136347268283	-2.71363472682827
41	56	51.3380282213526	4.66197177864736
42	52	55.5220162897591	-3.5220162897591
43	46	54.5521144379234	-8.55211443792344
44	48	47.0063366698534	0.993663330146553
45	46	47.249880566214	-1.24988056621404
46	48	43.8421149534354	4.15788504656458
47	48	47.1188014458565	0.88119855414353
48	49	45.6174371822074	3.38256281779258
49	53	45.0174338622736	7.98256613772642
50	48	48.5925208556935	-0.5925208556935
51	51	48.3359086650429	2.66409133495714
52	48	49.5868036537874	-1.58680365378743
53	50	51.7158859689251	-1.71588596892507
54	55	49.8087595693327	5.19124043066726
55	52	50.2720246748589	1.72797532514111
56	53	51.3386324166819	1.66136758331808
57	52	51.0562815592371	0.943718440762858
58	55	50.9875632933225	4.01243670667746
59	53	53.1057351936292	-0.105735193629229
60	53	52.3621708859726	0.637829114027426
61	56	52.4967445865758	3.50325541342418
62	54	50.5598916583423	3.44010834165772
63	52	53.6694461616626	-1.66944616166263
64	55	51.3529095740268	3.64709042597318
65	54	56.1215125883556	-2.12151258835559
66	59	57.2550060558415	1.74499394415845
67	56	54.740933005483	1.25906699451698
68	56	55.764588620256	0.235411379743958
69	51	54.6501131039374	-3.65011310393743
70	53	53.9979510761349	-0.997951076134868
71	52	52.3255943171342	-0.325594317134190
72	51	51.8514706285443	-0.851470628544305
73	46	52.5242473405578	-6.52424734055778
74	49	46.5600251488706	2.43997485112942
75	46	47.0591717230597	-1.05917172305969
76	55	47.0552876934929	7.9447123065071
77	57	51.1087416372215	5.89125836277847
78	53	57.2586583767913	-4.25865837679129
79	52	52.1779199812679	-0.177919981267898
80	53	52.1355367781645	0.8644632218355
81	50	49.7694773413206	0.230522658679448
82	54	51.8315330125222	2.16846698747776
83	53	51.8456996817621	1.15430031823792
84	50	51.8421779770833	-1.84217797708325
85	51	49.6141042896784	1.38589571032156
86	52	50.9394342440312	1.06056575596885
87	47	49.3879241678224	-2.38792416782242
88	51	52.7086080942778	-1.70860809427776
89	49	51.7175238785488	-2.71752387854877
90	53	49.8816189863834	3.11838101361658
91	52	49.7127336984029	2.28726630159712
92	45	51.1621189657747	-6.16211896577473
93	53	45.752511049142	7.24748895085803
94	51	51.5505192219968	-0.550519221996836
95	48	50.0404845254472	-2.04048452544724
96	48	47.5014491799112	0.498550820088795
97	48	47.6145105029583	0.385489497041654
98	48	48.3219208580364	-0.321920858036364
99	40	44.9262089909116	-4.92620899091164
100	43	46.9442843611873	-3.94428436118725
101	40	44.5513370720774	-4.55133707207737
102	39	44.0083697566031	-5.00836975660307
103	39	40.2145498272243	-1.21454982722427
104	36	37.0151467322396	-1.01514673223964
105	41	38.5153669693893	2.48463303061067
106	39	38.9201937746157	0.0798062253843028
107	40	37.2793976429623	2.7206023570377
108	39	37.7825650532049	1.21743494679509
109	46	38.0220027391725	7.97799726082753
110	40	41.5297337835317	-1.52973378353173
111	37	36.2868820656346	0.713117934365442
112	37	40.5493501836833	-3.54935018368331
113	44	38.0524330466864	5.94756695331359
114	41	41.7288759229973	-0.728875922997325
115	40	41.4643457946619	-1.46434579466186
116	36	38.2481997700295	-2.24819977002948
117	38	40.8968713160479	-2.89687131604788
118	43	38.0964923106784	4.90350768932164
119	42	39.6663427236364	2.33365727636360
120	45	39.4302618704117	5.56973812958829
121	46	44.4262479507252	1.57375204927482

Extrapolation Forecasts of Exponential Smoothing
t	Forecast	95% Lower Bound	95% Upper Bound
122	41.2495753911415	35.0356598989813	47.4634908833018
123	37.5874894903192	30.7270154223533	44.4479635582851
124	39.8137142224284	32.0687297611420	47.5586986837148
125	42.9685072469998	34.2176522859268	51.7193622080729
126	41.3718965473154	32.1550643280524	50.5887287665783
127	41.1597321952546	31.3233004842789	50.9961639062304
128	38.2167786122307	28.2214641605535	48.212093063908
129	41.7879389438208	30.4944730619125	53.0814048257292
130	43.6901237194493	31.3802880272407	55.9999594116578
131	42.1128691228340	29.5472617001239	54.678476545544
132	42.1848186594751	28.9909225032004	55.3787148157497
133	43.0901751614808	6.84186215887056	79.3384881640911