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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 13 Dec 2016 15:59:59 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/13/t1481641213vzoxxeaz8yd6ccc.htm/, Retrieved Sun, 05 May 2024 03:41:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299131, Retrieved Sun, 05 May 2024 03:41:22 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-13 14:59:59] [9b171b8beffcb53bb49a1e7c02b89c12] [Current]
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Dataseries X:
2669.94
2778.72
2648.44
2631.32
3057.32
2730.66
2730.62
2738.7
2616.36
2773.54
2872.76
2999.42
2730.62
2907.22
2778.04
2833.94
2914.44
2788.86
2742.8
2726.52
2746.44
2927.42
2879.56
3262.02
2883.14
2903.2
2877.7
2874.3
3026.66
2979.42
3109.68
2966.76
2961.04
3103.84
3359.12
3976.24
3049.42
3089.14
3166.26
3459.04
3457.32
3292.66
3432.86
3388.4
3312.9
3390.04
3757.44
4612.38
3613.34
3525.14
3473.06
3662.22
3717.4
3466.9
3443.4
3383.16
3843.64
3692.4
3558.38
3811.02
3470.54
3354.68
3499.96
3537.36
3414.98
3649
3549.72
3680.78
3484.64
3451.92
3831.14
3906.02
3499.54
3620.62
3473.64
3494.32
3799.66
3476.4
3446.86
3441.94
3514.68
3464.96
3579.48
3944.24
3702.42
3716.28
3538.36
3482.58
3665.5
3484.5
3425.08
3421.44
3602.34
3593.44
3478.5
4365.26
3445.2
3473.48
3472.32
3403.82
3575.4
3512.96
3433.04
3495.2
3478.96
3559.28
3887.1
4083.16
3659.52
3693.48
3779.52
3891.62
3895.86
3745.04
3884.46
3862.98




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299131&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299131&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299131&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12669.94NANA-62.3136NA
22778.72NANA-47.3604NA
32648.44NANA-91.3726NA
42631.32NANA-41.4277NA
53057.32NANA52.1694NA
62730.66NANA-73.8406NA
72730.622686.372773.18-86.807944.2496
82738.72677.532781.06-103.53161.1702
92616.362714.162791.81-77.658-97.797
102773.542760.912805.66-44.74712.6295
112872.762892.22808.1584.0517-19.4384
122999.423297.462804.62492.838-298.036
132730.622745.242807.55-62.3136-14.6172
142907.222760.192807.55-47.3604147.03
152778.042721.092812.46-91.372656.9492
162833.942782.872824.3-41.427751.0727
172914.442883.162830.9952.169431.2806
182788.862768.372842.22-73.840620.4856
192742.82772.72859.51-86.8079-29.9037
202726.522762.172865.7-103.531-35.6482
212746.442792.032869.68-77.658-45.5861
222927.422830.772875.52-44.74796.6487
232879.562965.932881.8884.0517-86.3675
243262.023387.332894.49492.838-125.309
252883.142855.42917.72-62.313627.7353
262903.22895.652943.02-47.36047.54544
272877.72870.592961.97-91.37267.10591
282874.32936.832978.26-41.4277-62.5315
293026.663057.763005.5952.1694-31.1011
302979.422981.493055.33-73.8406-2.0719
313109.683005.213092.02-86.8079104.468
322966.763003.163106.7-103.531-36.4048
332961.043048.813126.47-77.658-87.7686
343103.843118.113162.85-44.747-14.2671
353359.123289.213205.1684.051769.9058
363976.2437293236.16492.838247.244
373049.423200.363262.68-62.3136-150.942
383089.143246.353293.71-47.3604-157.21
393166.263234.573325.94-91.3726-68.3066
403459.043311.13352.53-41.4277147.943
413457.323433.223381.0552.169424.1039
423292.663350.313424.15-73.8406-57.6486
433432.863387.343474.15-86.807945.5163
443388.43412.283515.82-103.531-23.884
453312.93469.113546.77-77.658-156.207
463390.043523.273568.01-44.747-133.227
473757.443671.373587.3284.051786.0716
484612.384098.253605.41492.838514.129
493613.343550.83613.11-62.313662.5411
503525.143565.973613.33-47.3604-40.8329
513473.063543.863635.23-91.3726-70.7966
523662.223628.513669.94-41.427733.706
533717.43726.423674.2552.1694-9.01524
543466.93558.723632.56-73.8406-91.8211
553443.43506.413593.22-86.8079-63.0137
563383.163476.643580.17-103.531-93.4782
573843.643496.533574.19-77.658347.111
583692.43525.363570.11-44.747167.041
593558.383636.353552.384.0517-77.9742
603811.024040.133547.29492.838-229.107
613470.543496.993559.31-62.3136-26.4531
623354.683528.783576.14-47.3604-174.097
633499.963482.213573.58-91.372617.7526
643537.363507.173548.6-41.427730.186
653414.983602.123549.9552.1694-187.136
6636493491.433565.27-73.8406157.571
673549.723483.633570.44-86.807966.0913
683680.783479.193582.73-103.531201.585
693484.643515.053592.71-77.658-30.412
703451.923545.073589.82-44.747-93.153
713831.143688.113604.0684.0517143.033
723906.024105.733612.89492.838-199.709
733499.543539.13601.41-62.3136-39.5606
743620.623539.823587.18-47.360480.8038
753473.643487.13578.48-91.3726-13.4641
763494.323538.843580.27-41.4277-44.524
773799.663622.53570.3352.1694177.161
783476.43487.63561.44-73.8406-11.1952
793446.863484.673571.48-86.8079-37.8137
803441.943480.393583.92-103.531-38.4498
813514.683512.953590.6-77.6581.7347
823464.963548.063592.81-44.747-83.1038
833579.483670.783586.7384.0517-91.3034
843944.244074.323581.48492.838-130.077
853702.423518.63580.91-62.3136183.824
863716.283531.793579.15-47.3604184.493
873538.363490.573581.95-91.372647.7867
883482.583549.523590.95-41.4277-66.944
893665.53644.273592.152.169421.2331
903484.53531.593605.43-73.8406-47.0919
913425.083525.453612.26-86.8079-100.37
923421.443487.893591.42-103.531-66.4523
933602.343500.93578.56-77.658101.443
943593.443527.773572.52-44.74765.6654
953478.53649.543565.4984.0517-171.038
964365.264055.763562.92492.838309.505
973445.23502.123564.44-62.3136-56.9214
983473.483520.483567.84-47.3604-46.9996
993472.323474.43565.77-91.3726-2.07993
1003403.823517.783559.21-41.4277-113.961
1013575.43626.983574.8152.1694-51.5794
1023512.963506.243580.08-73.84066.71976
1033433.043490.453577.26-86.8079-57.4087
1043495.23491.823595.35-103.5313.37767
1053478.963539.663617.32-77.658-60.702
1063559.283605.73650.44-44.747-46.418
1073887.13768.173684.1284.0517118.926
1084083.164199.983707.15492.838-116.823
1093659.523673.313735.62-62.3136-13.7906
1103693.483722.43769.76-47.3604-28.9171
1113779.52NANA-91.3726NA
1123891.62NANA-41.4277NA
1133895.86NANA52.1694NA
1143745.04NANA-73.8406NA
1153884.46NANA-86.8079NA
1163862.98NANA-103.531NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2669.94 & NA & NA & -62.3136 & NA \tabularnewline
2 & 2778.72 & NA & NA & -47.3604 & NA \tabularnewline
3 & 2648.44 & NA & NA & -91.3726 & NA \tabularnewline
4 & 2631.32 & NA & NA & -41.4277 & NA \tabularnewline
5 & 3057.32 & NA & NA & 52.1694 & NA \tabularnewline
6 & 2730.66 & NA & NA & -73.8406 & NA \tabularnewline
7 & 2730.62 & 2686.37 & 2773.18 & -86.8079 & 44.2496 \tabularnewline
8 & 2738.7 & 2677.53 & 2781.06 & -103.531 & 61.1702 \tabularnewline
9 & 2616.36 & 2714.16 & 2791.81 & -77.658 & -97.797 \tabularnewline
10 & 2773.54 & 2760.91 & 2805.66 & -44.747 & 12.6295 \tabularnewline
11 & 2872.76 & 2892.2 & 2808.15 & 84.0517 & -19.4384 \tabularnewline
12 & 2999.42 & 3297.46 & 2804.62 & 492.838 & -298.036 \tabularnewline
13 & 2730.62 & 2745.24 & 2807.55 & -62.3136 & -14.6172 \tabularnewline
14 & 2907.22 & 2760.19 & 2807.55 & -47.3604 & 147.03 \tabularnewline
15 & 2778.04 & 2721.09 & 2812.46 & -91.3726 & 56.9492 \tabularnewline
16 & 2833.94 & 2782.87 & 2824.3 & -41.4277 & 51.0727 \tabularnewline
17 & 2914.44 & 2883.16 & 2830.99 & 52.1694 & 31.2806 \tabularnewline
18 & 2788.86 & 2768.37 & 2842.22 & -73.8406 & 20.4856 \tabularnewline
19 & 2742.8 & 2772.7 & 2859.51 & -86.8079 & -29.9037 \tabularnewline
20 & 2726.52 & 2762.17 & 2865.7 & -103.531 & -35.6482 \tabularnewline
21 & 2746.44 & 2792.03 & 2869.68 & -77.658 & -45.5861 \tabularnewline
22 & 2927.42 & 2830.77 & 2875.52 & -44.747 & 96.6487 \tabularnewline
23 & 2879.56 & 2965.93 & 2881.88 & 84.0517 & -86.3675 \tabularnewline
24 & 3262.02 & 3387.33 & 2894.49 & 492.838 & -125.309 \tabularnewline
25 & 2883.14 & 2855.4 & 2917.72 & -62.3136 & 27.7353 \tabularnewline
26 & 2903.2 & 2895.65 & 2943.02 & -47.3604 & 7.54544 \tabularnewline
27 & 2877.7 & 2870.59 & 2961.97 & -91.3726 & 7.10591 \tabularnewline
28 & 2874.3 & 2936.83 & 2978.26 & -41.4277 & -62.5315 \tabularnewline
29 & 3026.66 & 3057.76 & 3005.59 & 52.1694 & -31.1011 \tabularnewline
30 & 2979.42 & 2981.49 & 3055.33 & -73.8406 & -2.0719 \tabularnewline
31 & 3109.68 & 3005.21 & 3092.02 & -86.8079 & 104.468 \tabularnewline
32 & 2966.76 & 3003.16 & 3106.7 & -103.531 & -36.4048 \tabularnewline
33 & 2961.04 & 3048.81 & 3126.47 & -77.658 & -87.7686 \tabularnewline
34 & 3103.84 & 3118.11 & 3162.85 & -44.747 & -14.2671 \tabularnewline
35 & 3359.12 & 3289.21 & 3205.16 & 84.0517 & 69.9058 \tabularnewline
36 & 3976.24 & 3729 & 3236.16 & 492.838 & 247.244 \tabularnewline
37 & 3049.42 & 3200.36 & 3262.68 & -62.3136 & -150.942 \tabularnewline
38 & 3089.14 & 3246.35 & 3293.71 & -47.3604 & -157.21 \tabularnewline
39 & 3166.26 & 3234.57 & 3325.94 & -91.3726 & -68.3066 \tabularnewline
40 & 3459.04 & 3311.1 & 3352.53 & -41.4277 & 147.943 \tabularnewline
41 & 3457.32 & 3433.22 & 3381.05 & 52.1694 & 24.1039 \tabularnewline
42 & 3292.66 & 3350.31 & 3424.15 & -73.8406 & -57.6486 \tabularnewline
43 & 3432.86 & 3387.34 & 3474.15 & -86.8079 & 45.5163 \tabularnewline
44 & 3388.4 & 3412.28 & 3515.82 & -103.531 & -23.884 \tabularnewline
45 & 3312.9 & 3469.11 & 3546.77 & -77.658 & -156.207 \tabularnewline
46 & 3390.04 & 3523.27 & 3568.01 & -44.747 & -133.227 \tabularnewline
47 & 3757.44 & 3671.37 & 3587.32 & 84.0517 & 86.0716 \tabularnewline
48 & 4612.38 & 4098.25 & 3605.41 & 492.838 & 514.129 \tabularnewline
49 & 3613.34 & 3550.8 & 3613.11 & -62.3136 & 62.5411 \tabularnewline
50 & 3525.14 & 3565.97 & 3613.33 & -47.3604 & -40.8329 \tabularnewline
51 & 3473.06 & 3543.86 & 3635.23 & -91.3726 & -70.7966 \tabularnewline
52 & 3662.22 & 3628.51 & 3669.94 & -41.4277 & 33.706 \tabularnewline
53 & 3717.4 & 3726.42 & 3674.25 & 52.1694 & -9.01524 \tabularnewline
54 & 3466.9 & 3558.72 & 3632.56 & -73.8406 & -91.8211 \tabularnewline
55 & 3443.4 & 3506.41 & 3593.22 & -86.8079 & -63.0137 \tabularnewline
56 & 3383.16 & 3476.64 & 3580.17 & -103.531 & -93.4782 \tabularnewline
57 & 3843.64 & 3496.53 & 3574.19 & -77.658 & 347.111 \tabularnewline
58 & 3692.4 & 3525.36 & 3570.11 & -44.747 & 167.041 \tabularnewline
59 & 3558.38 & 3636.35 & 3552.3 & 84.0517 & -77.9742 \tabularnewline
60 & 3811.02 & 4040.13 & 3547.29 & 492.838 & -229.107 \tabularnewline
61 & 3470.54 & 3496.99 & 3559.31 & -62.3136 & -26.4531 \tabularnewline
62 & 3354.68 & 3528.78 & 3576.14 & -47.3604 & -174.097 \tabularnewline
63 & 3499.96 & 3482.21 & 3573.58 & -91.3726 & 17.7526 \tabularnewline
64 & 3537.36 & 3507.17 & 3548.6 & -41.4277 & 30.186 \tabularnewline
65 & 3414.98 & 3602.12 & 3549.95 & 52.1694 & -187.136 \tabularnewline
66 & 3649 & 3491.43 & 3565.27 & -73.8406 & 157.571 \tabularnewline
67 & 3549.72 & 3483.63 & 3570.44 & -86.8079 & 66.0913 \tabularnewline
68 & 3680.78 & 3479.19 & 3582.73 & -103.531 & 201.585 \tabularnewline
69 & 3484.64 & 3515.05 & 3592.71 & -77.658 & -30.412 \tabularnewline
70 & 3451.92 & 3545.07 & 3589.82 & -44.747 & -93.153 \tabularnewline
71 & 3831.14 & 3688.11 & 3604.06 & 84.0517 & 143.033 \tabularnewline
72 & 3906.02 & 4105.73 & 3612.89 & 492.838 & -199.709 \tabularnewline
73 & 3499.54 & 3539.1 & 3601.41 & -62.3136 & -39.5606 \tabularnewline
74 & 3620.62 & 3539.82 & 3587.18 & -47.3604 & 80.8038 \tabularnewline
75 & 3473.64 & 3487.1 & 3578.48 & -91.3726 & -13.4641 \tabularnewline
76 & 3494.32 & 3538.84 & 3580.27 & -41.4277 & -44.524 \tabularnewline
77 & 3799.66 & 3622.5 & 3570.33 & 52.1694 & 177.161 \tabularnewline
78 & 3476.4 & 3487.6 & 3561.44 & -73.8406 & -11.1952 \tabularnewline
79 & 3446.86 & 3484.67 & 3571.48 & -86.8079 & -37.8137 \tabularnewline
80 & 3441.94 & 3480.39 & 3583.92 & -103.531 & -38.4498 \tabularnewline
81 & 3514.68 & 3512.95 & 3590.6 & -77.658 & 1.7347 \tabularnewline
82 & 3464.96 & 3548.06 & 3592.81 & -44.747 & -83.1038 \tabularnewline
83 & 3579.48 & 3670.78 & 3586.73 & 84.0517 & -91.3034 \tabularnewline
84 & 3944.24 & 4074.32 & 3581.48 & 492.838 & -130.077 \tabularnewline
85 & 3702.42 & 3518.6 & 3580.91 & -62.3136 & 183.824 \tabularnewline
86 & 3716.28 & 3531.79 & 3579.15 & -47.3604 & 184.493 \tabularnewline
87 & 3538.36 & 3490.57 & 3581.95 & -91.3726 & 47.7867 \tabularnewline
88 & 3482.58 & 3549.52 & 3590.95 & -41.4277 & -66.944 \tabularnewline
89 & 3665.5 & 3644.27 & 3592.1 & 52.1694 & 21.2331 \tabularnewline
90 & 3484.5 & 3531.59 & 3605.43 & -73.8406 & -47.0919 \tabularnewline
91 & 3425.08 & 3525.45 & 3612.26 & -86.8079 & -100.37 \tabularnewline
92 & 3421.44 & 3487.89 & 3591.42 & -103.531 & -66.4523 \tabularnewline
93 & 3602.34 & 3500.9 & 3578.56 & -77.658 & 101.443 \tabularnewline
94 & 3593.44 & 3527.77 & 3572.52 & -44.747 & 65.6654 \tabularnewline
95 & 3478.5 & 3649.54 & 3565.49 & 84.0517 & -171.038 \tabularnewline
96 & 4365.26 & 4055.76 & 3562.92 & 492.838 & 309.505 \tabularnewline
97 & 3445.2 & 3502.12 & 3564.44 & -62.3136 & -56.9214 \tabularnewline
98 & 3473.48 & 3520.48 & 3567.84 & -47.3604 & -46.9996 \tabularnewline
99 & 3472.32 & 3474.4 & 3565.77 & -91.3726 & -2.07993 \tabularnewline
100 & 3403.82 & 3517.78 & 3559.21 & -41.4277 & -113.961 \tabularnewline
101 & 3575.4 & 3626.98 & 3574.81 & 52.1694 & -51.5794 \tabularnewline
102 & 3512.96 & 3506.24 & 3580.08 & -73.8406 & 6.71976 \tabularnewline
103 & 3433.04 & 3490.45 & 3577.26 & -86.8079 & -57.4087 \tabularnewline
104 & 3495.2 & 3491.82 & 3595.35 & -103.531 & 3.37767 \tabularnewline
105 & 3478.96 & 3539.66 & 3617.32 & -77.658 & -60.702 \tabularnewline
106 & 3559.28 & 3605.7 & 3650.44 & -44.747 & -46.418 \tabularnewline
107 & 3887.1 & 3768.17 & 3684.12 & 84.0517 & 118.926 \tabularnewline
108 & 4083.16 & 4199.98 & 3707.15 & 492.838 & -116.823 \tabularnewline
109 & 3659.52 & 3673.31 & 3735.62 & -62.3136 & -13.7906 \tabularnewline
110 & 3693.48 & 3722.4 & 3769.76 & -47.3604 & -28.9171 \tabularnewline
111 & 3779.52 & NA & NA & -91.3726 & NA \tabularnewline
112 & 3891.62 & NA & NA & -41.4277 & NA \tabularnewline
113 & 3895.86 & NA & NA & 52.1694 & NA \tabularnewline
114 & 3745.04 & NA & NA & -73.8406 & NA \tabularnewline
115 & 3884.46 & NA & NA & -86.8079 & NA \tabularnewline
116 & 3862.98 & NA & NA & -103.531 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299131&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]2669.94[/C][C]NA[/C][C]NA[/C][C]-62.3136[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2778.72[/C][C]NA[/C][C]NA[/C][C]-47.3604[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2648.44[/C][C]NA[/C][C]NA[/C][C]-91.3726[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2631.32[/C][C]NA[/C][C]NA[/C][C]-41.4277[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3057.32[/C][C]NA[/C][C]NA[/C][C]52.1694[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2730.66[/C][C]NA[/C][C]NA[/C][C]-73.8406[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2730.62[/C][C]2686.37[/C][C]2773.18[/C][C]-86.8079[/C][C]44.2496[/C][/ROW]
[ROW][C]8[/C][C]2738.7[/C][C]2677.53[/C][C]2781.06[/C][C]-103.531[/C][C]61.1702[/C][/ROW]
[ROW][C]9[/C][C]2616.36[/C][C]2714.16[/C][C]2791.81[/C][C]-77.658[/C][C]-97.797[/C][/ROW]
[ROW][C]10[/C][C]2773.54[/C][C]2760.91[/C][C]2805.66[/C][C]-44.747[/C][C]12.6295[/C][/ROW]
[ROW][C]11[/C][C]2872.76[/C][C]2892.2[/C][C]2808.15[/C][C]84.0517[/C][C]-19.4384[/C][/ROW]
[ROW][C]12[/C][C]2999.42[/C][C]3297.46[/C][C]2804.62[/C][C]492.838[/C][C]-298.036[/C][/ROW]
[ROW][C]13[/C][C]2730.62[/C][C]2745.24[/C][C]2807.55[/C][C]-62.3136[/C][C]-14.6172[/C][/ROW]
[ROW][C]14[/C][C]2907.22[/C][C]2760.19[/C][C]2807.55[/C][C]-47.3604[/C][C]147.03[/C][/ROW]
[ROW][C]15[/C][C]2778.04[/C][C]2721.09[/C][C]2812.46[/C][C]-91.3726[/C][C]56.9492[/C][/ROW]
[ROW][C]16[/C][C]2833.94[/C][C]2782.87[/C][C]2824.3[/C][C]-41.4277[/C][C]51.0727[/C][/ROW]
[ROW][C]17[/C][C]2914.44[/C][C]2883.16[/C][C]2830.99[/C][C]52.1694[/C][C]31.2806[/C][/ROW]
[ROW][C]18[/C][C]2788.86[/C][C]2768.37[/C][C]2842.22[/C][C]-73.8406[/C][C]20.4856[/C][/ROW]
[ROW][C]19[/C][C]2742.8[/C][C]2772.7[/C][C]2859.51[/C][C]-86.8079[/C][C]-29.9037[/C][/ROW]
[ROW][C]20[/C][C]2726.52[/C][C]2762.17[/C][C]2865.7[/C][C]-103.531[/C][C]-35.6482[/C][/ROW]
[ROW][C]21[/C][C]2746.44[/C][C]2792.03[/C][C]2869.68[/C][C]-77.658[/C][C]-45.5861[/C][/ROW]
[ROW][C]22[/C][C]2927.42[/C][C]2830.77[/C][C]2875.52[/C][C]-44.747[/C][C]96.6487[/C][/ROW]
[ROW][C]23[/C][C]2879.56[/C][C]2965.93[/C][C]2881.88[/C][C]84.0517[/C][C]-86.3675[/C][/ROW]
[ROW][C]24[/C][C]3262.02[/C][C]3387.33[/C][C]2894.49[/C][C]492.838[/C][C]-125.309[/C][/ROW]
[ROW][C]25[/C][C]2883.14[/C][C]2855.4[/C][C]2917.72[/C][C]-62.3136[/C][C]27.7353[/C][/ROW]
[ROW][C]26[/C][C]2903.2[/C][C]2895.65[/C][C]2943.02[/C][C]-47.3604[/C][C]7.54544[/C][/ROW]
[ROW][C]27[/C][C]2877.7[/C][C]2870.59[/C][C]2961.97[/C][C]-91.3726[/C][C]7.10591[/C][/ROW]
[ROW][C]28[/C][C]2874.3[/C][C]2936.83[/C][C]2978.26[/C][C]-41.4277[/C][C]-62.5315[/C][/ROW]
[ROW][C]29[/C][C]3026.66[/C][C]3057.76[/C][C]3005.59[/C][C]52.1694[/C][C]-31.1011[/C][/ROW]
[ROW][C]30[/C][C]2979.42[/C][C]2981.49[/C][C]3055.33[/C][C]-73.8406[/C][C]-2.0719[/C][/ROW]
[ROW][C]31[/C][C]3109.68[/C][C]3005.21[/C][C]3092.02[/C][C]-86.8079[/C][C]104.468[/C][/ROW]
[ROW][C]32[/C][C]2966.76[/C][C]3003.16[/C][C]3106.7[/C][C]-103.531[/C][C]-36.4048[/C][/ROW]
[ROW][C]33[/C][C]2961.04[/C][C]3048.81[/C][C]3126.47[/C][C]-77.658[/C][C]-87.7686[/C][/ROW]
[ROW][C]34[/C][C]3103.84[/C][C]3118.11[/C][C]3162.85[/C][C]-44.747[/C][C]-14.2671[/C][/ROW]
[ROW][C]35[/C][C]3359.12[/C][C]3289.21[/C][C]3205.16[/C][C]84.0517[/C][C]69.9058[/C][/ROW]
[ROW][C]36[/C][C]3976.24[/C][C]3729[/C][C]3236.16[/C][C]492.838[/C][C]247.244[/C][/ROW]
[ROW][C]37[/C][C]3049.42[/C][C]3200.36[/C][C]3262.68[/C][C]-62.3136[/C][C]-150.942[/C][/ROW]
[ROW][C]38[/C][C]3089.14[/C][C]3246.35[/C][C]3293.71[/C][C]-47.3604[/C][C]-157.21[/C][/ROW]
[ROW][C]39[/C][C]3166.26[/C][C]3234.57[/C][C]3325.94[/C][C]-91.3726[/C][C]-68.3066[/C][/ROW]
[ROW][C]40[/C][C]3459.04[/C][C]3311.1[/C][C]3352.53[/C][C]-41.4277[/C][C]147.943[/C][/ROW]
[ROW][C]41[/C][C]3457.32[/C][C]3433.22[/C][C]3381.05[/C][C]52.1694[/C][C]24.1039[/C][/ROW]
[ROW][C]42[/C][C]3292.66[/C][C]3350.31[/C][C]3424.15[/C][C]-73.8406[/C][C]-57.6486[/C][/ROW]
[ROW][C]43[/C][C]3432.86[/C][C]3387.34[/C][C]3474.15[/C][C]-86.8079[/C][C]45.5163[/C][/ROW]
[ROW][C]44[/C][C]3388.4[/C][C]3412.28[/C][C]3515.82[/C][C]-103.531[/C][C]-23.884[/C][/ROW]
[ROW][C]45[/C][C]3312.9[/C][C]3469.11[/C][C]3546.77[/C][C]-77.658[/C][C]-156.207[/C][/ROW]
[ROW][C]46[/C][C]3390.04[/C][C]3523.27[/C][C]3568.01[/C][C]-44.747[/C][C]-133.227[/C][/ROW]
[ROW][C]47[/C][C]3757.44[/C][C]3671.37[/C][C]3587.32[/C][C]84.0517[/C][C]86.0716[/C][/ROW]
[ROW][C]48[/C][C]4612.38[/C][C]4098.25[/C][C]3605.41[/C][C]492.838[/C][C]514.129[/C][/ROW]
[ROW][C]49[/C][C]3613.34[/C][C]3550.8[/C][C]3613.11[/C][C]-62.3136[/C][C]62.5411[/C][/ROW]
[ROW][C]50[/C][C]3525.14[/C][C]3565.97[/C][C]3613.33[/C][C]-47.3604[/C][C]-40.8329[/C][/ROW]
[ROW][C]51[/C][C]3473.06[/C][C]3543.86[/C][C]3635.23[/C][C]-91.3726[/C][C]-70.7966[/C][/ROW]
[ROW][C]52[/C][C]3662.22[/C][C]3628.51[/C][C]3669.94[/C][C]-41.4277[/C][C]33.706[/C][/ROW]
[ROW][C]53[/C][C]3717.4[/C][C]3726.42[/C][C]3674.25[/C][C]52.1694[/C][C]-9.01524[/C][/ROW]
[ROW][C]54[/C][C]3466.9[/C][C]3558.72[/C][C]3632.56[/C][C]-73.8406[/C][C]-91.8211[/C][/ROW]
[ROW][C]55[/C][C]3443.4[/C][C]3506.41[/C][C]3593.22[/C][C]-86.8079[/C][C]-63.0137[/C][/ROW]
[ROW][C]56[/C][C]3383.16[/C][C]3476.64[/C][C]3580.17[/C][C]-103.531[/C][C]-93.4782[/C][/ROW]
[ROW][C]57[/C][C]3843.64[/C][C]3496.53[/C][C]3574.19[/C][C]-77.658[/C][C]347.111[/C][/ROW]
[ROW][C]58[/C][C]3692.4[/C][C]3525.36[/C][C]3570.11[/C][C]-44.747[/C][C]167.041[/C][/ROW]
[ROW][C]59[/C][C]3558.38[/C][C]3636.35[/C][C]3552.3[/C][C]84.0517[/C][C]-77.9742[/C][/ROW]
[ROW][C]60[/C][C]3811.02[/C][C]4040.13[/C][C]3547.29[/C][C]492.838[/C][C]-229.107[/C][/ROW]
[ROW][C]61[/C][C]3470.54[/C][C]3496.99[/C][C]3559.31[/C][C]-62.3136[/C][C]-26.4531[/C][/ROW]
[ROW][C]62[/C][C]3354.68[/C][C]3528.78[/C][C]3576.14[/C][C]-47.3604[/C][C]-174.097[/C][/ROW]
[ROW][C]63[/C][C]3499.96[/C][C]3482.21[/C][C]3573.58[/C][C]-91.3726[/C][C]17.7526[/C][/ROW]
[ROW][C]64[/C][C]3537.36[/C][C]3507.17[/C][C]3548.6[/C][C]-41.4277[/C][C]30.186[/C][/ROW]
[ROW][C]65[/C][C]3414.98[/C][C]3602.12[/C][C]3549.95[/C][C]52.1694[/C][C]-187.136[/C][/ROW]
[ROW][C]66[/C][C]3649[/C][C]3491.43[/C][C]3565.27[/C][C]-73.8406[/C][C]157.571[/C][/ROW]
[ROW][C]67[/C][C]3549.72[/C][C]3483.63[/C][C]3570.44[/C][C]-86.8079[/C][C]66.0913[/C][/ROW]
[ROW][C]68[/C][C]3680.78[/C][C]3479.19[/C][C]3582.73[/C][C]-103.531[/C][C]201.585[/C][/ROW]
[ROW][C]69[/C][C]3484.64[/C][C]3515.05[/C][C]3592.71[/C][C]-77.658[/C][C]-30.412[/C][/ROW]
[ROW][C]70[/C][C]3451.92[/C][C]3545.07[/C][C]3589.82[/C][C]-44.747[/C][C]-93.153[/C][/ROW]
[ROW][C]71[/C][C]3831.14[/C][C]3688.11[/C][C]3604.06[/C][C]84.0517[/C][C]143.033[/C][/ROW]
[ROW][C]72[/C][C]3906.02[/C][C]4105.73[/C][C]3612.89[/C][C]492.838[/C][C]-199.709[/C][/ROW]
[ROW][C]73[/C][C]3499.54[/C][C]3539.1[/C][C]3601.41[/C][C]-62.3136[/C][C]-39.5606[/C][/ROW]
[ROW][C]74[/C][C]3620.62[/C][C]3539.82[/C][C]3587.18[/C][C]-47.3604[/C][C]80.8038[/C][/ROW]
[ROW][C]75[/C][C]3473.64[/C][C]3487.1[/C][C]3578.48[/C][C]-91.3726[/C][C]-13.4641[/C][/ROW]
[ROW][C]76[/C][C]3494.32[/C][C]3538.84[/C][C]3580.27[/C][C]-41.4277[/C][C]-44.524[/C][/ROW]
[ROW][C]77[/C][C]3799.66[/C][C]3622.5[/C][C]3570.33[/C][C]52.1694[/C][C]177.161[/C][/ROW]
[ROW][C]78[/C][C]3476.4[/C][C]3487.6[/C][C]3561.44[/C][C]-73.8406[/C][C]-11.1952[/C][/ROW]
[ROW][C]79[/C][C]3446.86[/C][C]3484.67[/C][C]3571.48[/C][C]-86.8079[/C][C]-37.8137[/C][/ROW]
[ROW][C]80[/C][C]3441.94[/C][C]3480.39[/C][C]3583.92[/C][C]-103.531[/C][C]-38.4498[/C][/ROW]
[ROW][C]81[/C][C]3514.68[/C][C]3512.95[/C][C]3590.6[/C][C]-77.658[/C][C]1.7347[/C][/ROW]
[ROW][C]82[/C][C]3464.96[/C][C]3548.06[/C][C]3592.81[/C][C]-44.747[/C][C]-83.1038[/C][/ROW]
[ROW][C]83[/C][C]3579.48[/C][C]3670.78[/C][C]3586.73[/C][C]84.0517[/C][C]-91.3034[/C][/ROW]
[ROW][C]84[/C][C]3944.24[/C][C]4074.32[/C][C]3581.48[/C][C]492.838[/C][C]-130.077[/C][/ROW]
[ROW][C]85[/C][C]3702.42[/C][C]3518.6[/C][C]3580.91[/C][C]-62.3136[/C][C]183.824[/C][/ROW]
[ROW][C]86[/C][C]3716.28[/C][C]3531.79[/C][C]3579.15[/C][C]-47.3604[/C][C]184.493[/C][/ROW]
[ROW][C]87[/C][C]3538.36[/C][C]3490.57[/C][C]3581.95[/C][C]-91.3726[/C][C]47.7867[/C][/ROW]
[ROW][C]88[/C][C]3482.58[/C][C]3549.52[/C][C]3590.95[/C][C]-41.4277[/C][C]-66.944[/C][/ROW]
[ROW][C]89[/C][C]3665.5[/C][C]3644.27[/C][C]3592.1[/C][C]52.1694[/C][C]21.2331[/C][/ROW]
[ROW][C]90[/C][C]3484.5[/C][C]3531.59[/C][C]3605.43[/C][C]-73.8406[/C][C]-47.0919[/C][/ROW]
[ROW][C]91[/C][C]3425.08[/C][C]3525.45[/C][C]3612.26[/C][C]-86.8079[/C][C]-100.37[/C][/ROW]
[ROW][C]92[/C][C]3421.44[/C][C]3487.89[/C][C]3591.42[/C][C]-103.531[/C][C]-66.4523[/C][/ROW]
[ROW][C]93[/C][C]3602.34[/C][C]3500.9[/C][C]3578.56[/C][C]-77.658[/C][C]101.443[/C][/ROW]
[ROW][C]94[/C][C]3593.44[/C][C]3527.77[/C][C]3572.52[/C][C]-44.747[/C][C]65.6654[/C][/ROW]
[ROW][C]95[/C][C]3478.5[/C][C]3649.54[/C][C]3565.49[/C][C]84.0517[/C][C]-171.038[/C][/ROW]
[ROW][C]96[/C][C]4365.26[/C][C]4055.76[/C][C]3562.92[/C][C]492.838[/C][C]309.505[/C][/ROW]
[ROW][C]97[/C][C]3445.2[/C][C]3502.12[/C][C]3564.44[/C][C]-62.3136[/C][C]-56.9214[/C][/ROW]
[ROW][C]98[/C][C]3473.48[/C][C]3520.48[/C][C]3567.84[/C][C]-47.3604[/C][C]-46.9996[/C][/ROW]
[ROW][C]99[/C][C]3472.32[/C][C]3474.4[/C][C]3565.77[/C][C]-91.3726[/C][C]-2.07993[/C][/ROW]
[ROW][C]100[/C][C]3403.82[/C][C]3517.78[/C][C]3559.21[/C][C]-41.4277[/C][C]-113.961[/C][/ROW]
[ROW][C]101[/C][C]3575.4[/C][C]3626.98[/C][C]3574.81[/C][C]52.1694[/C][C]-51.5794[/C][/ROW]
[ROW][C]102[/C][C]3512.96[/C][C]3506.24[/C][C]3580.08[/C][C]-73.8406[/C][C]6.71976[/C][/ROW]
[ROW][C]103[/C][C]3433.04[/C][C]3490.45[/C][C]3577.26[/C][C]-86.8079[/C][C]-57.4087[/C][/ROW]
[ROW][C]104[/C][C]3495.2[/C][C]3491.82[/C][C]3595.35[/C][C]-103.531[/C][C]3.37767[/C][/ROW]
[ROW][C]105[/C][C]3478.96[/C][C]3539.66[/C][C]3617.32[/C][C]-77.658[/C][C]-60.702[/C][/ROW]
[ROW][C]106[/C][C]3559.28[/C][C]3605.7[/C][C]3650.44[/C][C]-44.747[/C][C]-46.418[/C][/ROW]
[ROW][C]107[/C][C]3887.1[/C][C]3768.17[/C][C]3684.12[/C][C]84.0517[/C][C]118.926[/C][/ROW]
[ROW][C]108[/C][C]4083.16[/C][C]4199.98[/C][C]3707.15[/C][C]492.838[/C][C]-116.823[/C][/ROW]
[ROW][C]109[/C][C]3659.52[/C][C]3673.31[/C][C]3735.62[/C][C]-62.3136[/C][C]-13.7906[/C][/ROW]
[ROW][C]110[/C][C]3693.48[/C][C]3722.4[/C][C]3769.76[/C][C]-47.3604[/C][C]-28.9171[/C][/ROW]
[ROW][C]111[/C][C]3779.52[/C][C]NA[/C][C]NA[/C][C]-91.3726[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]3891.62[/C][C]NA[/C][C]NA[/C][C]-41.4277[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]3895.86[/C][C]NA[/C][C]NA[/C][C]52.1694[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]3745.04[/C][C]NA[/C][C]NA[/C][C]-73.8406[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]3884.46[/C][C]NA[/C][C]NA[/C][C]-86.8079[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]3862.98[/C][C]NA[/C][C]NA[/C][C]-103.531[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299131&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299131&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12669.94NANA-62.3136NA
22778.72NANA-47.3604NA
32648.44NANA-91.3726NA
42631.32NANA-41.4277NA
53057.32NANA52.1694NA
62730.66NANA-73.8406NA
72730.622686.372773.18-86.807944.2496
82738.72677.532781.06-103.53161.1702
92616.362714.162791.81-77.658-97.797
102773.542760.912805.66-44.74712.6295
112872.762892.22808.1584.0517-19.4384
122999.423297.462804.62492.838-298.036
132730.622745.242807.55-62.3136-14.6172
142907.222760.192807.55-47.3604147.03
152778.042721.092812.46-91.372656.9492
162833.942782.872824.3-41.427751.0727
172914.442883.162830.9952.169431.2806
182788.862768.372842.22-73.840620.4856
192742.82772.72859.51-86.8079-29.9037
202726.522762.172865.7-103.531-35.6482
212746.442792.032869.68-77.658-45.5861
222927.422830.772875.52-44.74796.6487
232879.562965.932881.8884.0517-86.3675
243262.023387.332894.49492.838-125.309
252883.142855.42917.72-62.313627.7353
262903.22895.652943.02-47.36047.54544
272877.72870.592961.97-91.37267.10591
282874.32936.832978.26-41.4277-62.5315
293026.663057.763005.5952.1694-31.1011
302979.422981.493055.33-73.8406-2.0719
313109.683005.213092.02-86.8079104.468
322966.763003.163106.7-103.531-36.4048
332961.043048.813126.47-77.658-87.7686
343103.843118.113162.85-44.747-14.2671
353359.123289.213205.1684.051769.9058
363976.2437293236.16492.838247.244
373049.423200.363262.68-62.3136-150.942
383089.143246.353293.71-47.3604-157.21
393166.263234.573325.94-91.3726-68.3066
403459.043311.13352.53-41.4277147.943
413457.323433.223381.0552.169424.1039
423292.663350.313424.15-73.8406-57.6486
433432.863387.343474.15-86.807945.5163
443388.43412.283515.82-103.531-23.884
453312.93469.113546.77-77.658-156.207
463390.043523.273568.01-44.747-133.227
473757.443671.373587.3284.051786.0716
484612.384098.253605.41492.838514.129
493613.343550.83613.11-62.313662.5411
503525.143565.973613.33-47.3604-40.8329
513473.063543.863635.23-91.3726-70.7966
523662.223628.513669.94-41.427733.706
533717.43726.423674.2552.1694-9.01524
543466.93558.723632.56-73.8406-91.8211
553443.43506.413593.22-86.8079-63.0137
563383.163476.643580.17-103.531-93.4782
573843.643496.533574.19-77.658347.111
583692.43525.363570.11-44.747167.041
593558.383636.353552.384.0517-77.9742
603811.024040.133547.29492.838-229.107
613470.543496.993559.31-62.3136-26.4531
623354.683528.783576.14-47.3604-174.097
633499.963482.213573.58-91.372617.7526
643537.363507.173548.6-41.427730.186
653414.983602.123549.9552.1694-187.136
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1073887.13768.173684.1284.0517118.926
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1093659.523673.313735.62-62.3136-13.7906
1103693.483722.43769.76-47.3604-28.9171
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1123891.62NANA-41.4277NA
1133895.86NANA52.1694NA
1143745.04NANA-73.8406NA
1153884.46NANA-86.8079NA
1163862.98NANA-103.531NA



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')