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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 21:54:28 +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/t1481662651d5qzh2d9jxw2zaa.htm/, Retrieved Sat, 04 May 2024 22:20:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299230, Retrieved Sat, 04 May 2024 22:20:53 +0000
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Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-13 20:54:28] [b2e25925e4919b0d6985405fcb461c0d] [Current]
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Dataseries X:
4020
3540
3430
4200
3360
4440
4390
4940
3940
4560
4850
5070
6210
5200
4860
5160
5530
8830
4410
4850
8960
4620
5120
4520
8870
9470
6590
3970
3770
5500
6580
5280
8640
5510
5690
7620
4010
3570
4040
3600
4000
3070
3230
4060
3480
3750
3990
3100
3950
3010
3160
2960
2750
3590
3060
2970
3590
3450
2930
2660
3540
3160
2680
2900
2920
2900
3150
3150
3120
3720
3360
2740
3250
2700
2610
2410
2590
2630
2650
2600
3060
2650
2700
2620
2630
2850
2680
2430
2550
2570
2520
2500
2550
2790
2770
2460
2800
2770
2450
2370
2540
3470
2690
4110
3840
2860
3540
3370




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=299230&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=299230&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299230&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
14020NANA530.195NA
23540NANA227.122NA
33430NANA-225.534NA
44200NANA-624.909NA
53360NANA-502.982NA
64440NANA251.445NA
743904119.884319.58-199.701270.117
849404335.664480-144.336604.336
939405347.284608.75738.529-1407.28
1045604675.254708.33-33.0859-115.247
1148504864.474838.7525.7161-14.4661
1250705069.625112.08-42.46090.377604
1362105826.035295.83530.195383.971
1452005520.045292.92227.122-320.039
1548605272.85498.33-225.534-412.799
1651605085.095710-624.90974.9089
1755305220.775723.75-502.982309.232
1888305963.535712.08251.4452866.47
1944105600.35800-199.701-1190.3
2048505944.416088.75-144.336-1094.41
2189607077.286338.75738.5291882.72
2246206328.166361.25-33.0859-1708.16
2351206264.056238.3325.7161-1144.05
2445205983.796026.25-42.4609-1463.79
2588706508.115977.92530.1952361.89
2694706313.376086.25227.1223156.63
2765905865.36090.83-225.534724.701
2839705489.676114.58-624.909-1519.67
2937705672.436175.42-502.982-1902.43
3055006579.786328.33251.445-1079.78
3165806055.36255-199.701524.701
3252805662.335806.67-144.336-382.331
3386406193.115454.58738.5292446.89
3455105299.835332.92-33.0859210.169
3556905352.85327.0825.7161337.201
3676205192.965235.42-42.46092427.04
3740105524.784994.58530.195-1514.78
3835705031.294804.17227.122-1461.29
3940404312.84538.33-225.534-272.799
4036003625.094250-624.909-25.0911
4140003602.854105.83-502.982397.148
4230704098.113846.67251.445-1028.11
4332303456.133655.83-199.701-226.133
4440603485.663630-144.336574.336
4534804308.533570738.529-828.529
4637503473.583506.67-33.0859276.419
4739903453.633427.9225.7161536.367
4831003355.043397.5-42.4609-255.039
4939503942.283412.08530.1957.72135
5030103586.713359.58227.122-576.706
5131603093.223318.75-225.53466.7839
5229602685.923310.83-624.909274.076
5327502751.183254.17-502.982-1.1849
5435903443.113191.67251.445146.888
5530602956.553156.25-199.701103.451
5629703001.083145.42-144.336-31.0807
5735903870.23131.67738.529-280.195
5834503076.083109.17-33.0859373.919
5929303139.473113.7525.7161-209.466
6026603049.623092.08-42.4609-389.622
6135403597.283067.08530.195-57.2786
6231603305.463078.33227.122-145.456
6326802840.723066.25-225.534-160.716
6429002433.013057.92-624.909466.992
6529202584.13087.08-502.982335.898
6629003359.783108.33251.445-459.779
6731502899.883099.58-199.701250.117
68315029243068.33-144.336226.003
6931203784.783046.25738.529-664.779
7037202989.833022.92-33.0859730.169
7133603014.472988.7525.7161345.534
7227402921.292963.75-42.4609-181.289
7332503461.862931.67530.195-211.862
7427003115.042887.92227.122-415.039
7526102636.972862.5-225.534-26.9661
7624102190.512815.42-624.909219.492
7725902240.352743.33-502.982349.648
7826302962.282710.83251.445-332.279
7926502480.32680-199.701169.701
8026002516.082660.42-144.33683.9193
8130603408.112669.58738.529-348.112
8226502640.252673.33-33.08599.7526
8327002698.222672.525.71611.78385
8426202625.872668.33-42.4609-5.8724
8526303190.612660.42530.195-560.612
8628502877.962650.83227.122-27.9557
8726802399.882625.42-225.534280.117
8824301985.092610-624.909444.909
8925502115.772618.75-502.982434.232
9025702866.452615251.445-296.445
9125202415.722615.42-199.701104.284
9225002474.832619.17-144.33625.1693
9325503344.782606.25738.529-794.779
9427902561.082594.17-33.0859228.919
9527702616.972591.2525.7161153.034
9624602585.872628.33-42.4609-125.872
9728003203.112672.92530.195-403.112
9827702974.212747.08227.122-204.206
9924502642.382867.92-225.534-192.383
10023702299.672924.58-624.90970.3255
10125402456.62959.58-502.98283.3984
10234703281.033029.58251.445188.971
1032690NANA-199.701NA
1044110NANA-144.336NA
1053840NANA738.529NA
1062860NANA-33.0859NA
1073540NANA25.7161NA
1083370NANA-42.4609NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4020 & NA & NA & 530.195 & NA \tabularnewline
2 & 3540 & NA & NA & 227.122 & NA \tabularnewline
3 & 3430 & NA & NA & -225.534 & NA \tabularnewline
4 & 4200 & NA & NA & -624.909 & NA \tabularnewline
5 & 3360 & NA & NA & -502.982 & NA \tabularnewline
6 & 4440 & NA & NA & 251.445 & NA \tabularnewline
7 & 4390 & 4119.88 & 4319.58 & -199.701 & 270.117 \tabularnewline
8 & 4940 & 4335.66 & 4480 & -144.336 & 604.336 \tabularnewline
9 & 3940 & 5347.28 & 4608.75 & 738.529 & -1407.28 \tabularnewline
10 & 4560 & 4675.25 & 4708.33 & -33.0859 & -115.247 \tabularnewline
11 & 4850 & 4864.47 & 4838.75 & 25.7161 & -14.4661 \tabularnewline
12 & 5070 & 5069.62 & 5112.08 & -42.4609 & 0.377604 \tabularnewline
13 & 6210 & 5826.03 & 5295.83 & 530.195 & 383.971 \tabularnewline
14 & 5200 & 5520.04 & 5292.92 & 227.122 & -320.039 \tabularnewline
15 & 4860 & 5272.8 & 5498.33 & -225.534 & -412.799 \tabularnewline
16 & 5160 & 5085.09 & 5710 & -624.909 & 74.9089 \tabularnewline
17 & 5530 & 5220.77 & 5723.75 & -502.982 & 309.232 \tabularnewline
18 & 8830 & 5963.53 & 5712.08 & 251.445 & 2866.47 \tabularnewline
19 & 4410 & 5600.3 & 5800 & -199.701 & -1190.3 \tabularnewline
20 & 4850 & 5944.41 & 6088.75 & -144.336 & -1094.41 \tabularnewline
21 & 8960 & 7077.28 & 6338.75 & 738.529 & 1882.72 \tabularnewline
22 & 4620 & 6328.16 & 6361.25 & -33.0859 & -1708.16 \tabularnewline
23 & 5120 & 6264.05 & 6238.33 & 25.7161 & -1144.05 \tabularnewline
24 & 4520 & 5983.79 & 6026.25 & -42.4609 & -1463.79 \tabularnewline
25 & 8870 & 6508.11 & 5977.92 & 530.195 & 2361.89 \tabularnewline
26 & 9470 & 6313.37 & 6086.25 & 227.122 & 3156.63 \tabularnewline
27 & 6590 & 5865.3 & 6090.83 & -225.534 & 724.701 \tabularnewline
28 & 3970 & 5489.67 & 6114.58 & -624.909 & -1519.67 \tabularnewline
29 & 3770 & 5672.43 & 6175.42 & -502.982 & -1902.43 \tabularnewline
30 & 5500 & 6579.78 & 6328.33 & 251.445 & -1079.78 \tabularnewline
31 & 6580 & 6055.3 & 6255 & -199.701 & 524.701 \tabularnewline
32 & 5280 & 5662.33 & 5806.67 & -144.336 & -382.331 \tabularnewline
33 & 8640 & 6193.11 & 5454.58 & 738.529 & 2446.89 \tabularnewline
34 & 5510 & 5299.83 & 5332.92 & -33.0859 & 210.169 \tabularnewline
35 & 5690 & 5352.8 & 5327.08 & 25.7161 & 337.201 \tabularnewline
36 & 7620 & 5192.96 & 5235.42 & -42.4609 & 2427.04 \tabularnewline
37 & 4010 & 5524.78 & 4994.58 & 530.195 & -1514.78 \tabularnewline
38 & 3570 & 5031.29 & 4804.17 & 227.122 & -1461.29 \tabularnewline
39 & 4040 & 4312.8 & 4538.33 & -225.534 & -272.799 \tabularnewline
40 & 3600 & 3625.09 & 4250 & -624.909 & -25.0911 \tabularnewline
41 & 4000 & 3602.85 & 4105.83 & -502.982 & 397.148 \tabularnewline
42 & 3070 & 4098.11 & 3846.67 & 251.445 & -1028.11 \tabularnewline
43 & 3230 & 3456.13 & 3655.83 & -199.701 & -226.133 \tabularnewline
44 & 4060 & 3485.66 & 3630 & -144.336 & 574.336 \tabularnewline
45 & 3480 & 4308.53 & 3570 & 738.529 & -828.529 \tabularnewline
46 & 3750 & 3473.58 & 3506.67 & -33.0859 & 276.419 \tabularnewline
47 & 3990 & 3453.63 & 3427.92 & 25.7161 & 536.367 \tabularnewline
48 & 3100 & 3355.04 & 3397.5 & -42.4609 & -255.039 \tabularnewline
49 & 3950 & 3942.28 & 3412.08 & 530.195 & 7.72135 \tabularnewline
50 & 3010 & 3586.71 & 3359.58 & 227.122 & -576.706 \tabularnewline
51 & 3160 & 3093.22 & 3318.75 & -225.534 & 66.7839 \tabularnewline
52 & 2960 & 2685.92 & 3310.83 & -624.909 & 274.076 \tabularnewline
53 & 2750 & 2751.18 & 3254.17 & -502.982 & -1.1849 \tabularnewline
54 & 3590 & 3443.11 & 3191.67 & 251.445 & 146.888 \tabularnewline
55 & 3060 & 2956.55 & 3156.25 & -199.701 & 103.451 \tabularnewline
56 & 2970 & 3001.08 & 3145.42 & -144.336 & -31.0807 \tabularnewline
57 & 3590 & 3870.2 & 3131.67 & 738.529 & -280.195 \tabularnewline
58 & 3450 & 3076.08 & 3109.17 & -33.0859 & 373.919 \tabularnewline
59 & 2930 & 3139.47 & 3113.75 & 25.7161 & -209.466 \tabularnewline
60 & 2660 & 3049.62 & 3092.08 & -42.4609 & -389.622 \tabularnewline
61 & 3540 & 3597.28 & 3067.08 & 530.195 & -57.2786 \tabularnewline
62 & 3160 & 3305.46 & 3078.33 & 227.122 & -145.456 \tabularnewline
63 & 2680 & 2840.72 & 3066.25 & -225.534 & -160.716 \tabularnewline
64 & 2900 & 2433.01 & 3057.92 & -624.909 & 466.992 \tabularnewline
65 & 2920 & 2584.1 & 3087.08 & -502.982 & 335.898 \tabularnewline
66 & 2900 & 3359.78 & 3108.33 & 251.445 & -459.779 \tabularnewline
67 & 3150 & 2899.88 & 3099.58 & -199.701 & 250.117 \tabularnewline
68 & 3150 & 2924 & 3068.33 & -144.336 & 226.003 \tabularnewline
69 & 3120 & 3784.78 & 3046.25 & 738.529 & -664.779 \tabularnewline
70 & 3720 & 2989.83 & 3022.92 & -33.0859 & 730.169 \tabularnewline
71 & 3360 & 3014.47 & 2988.75 & 25.7161 & 345.534 \tabularnewline
72 & 2740 & 2921.29 & 2963.75 & -42.4609 & -181.289 \tabularnewline
73 & 3250 & 3461.86 & 2931.67 & 530.195 & -211.862 \tabularnewline
74 & 2700 & 3115.04 & 2887.92 & 227.122 & -415.039 \tabularnewline
75 & 2610 & 2636.97 & 2862.5 & -225.534 & -26.9661 \tabularnewline
76 & 2410 & 2190.51 & 2815.42 & -624.909 & 219.492 \tabularnewline
77 & 2590 & 2240.35 & 2743.33 & -502.982 & 349.648 \tabularnewline
78 & 2630 & 2962.28 & 2710.83 & 251.445 & -332.279 \tabularnewline
79 & 2650 & 2480.3 & 2680 & -199.701 & 169.701 \tabularnewline
80 & 2600 & 2516.08 & 2660.42 & -144.336 & 83.9193 \tabularnewline
81 & 3060 & 3408.11 & 2669.58 & 738.529 & -348.112 \tabularnewline
82 & 2650 & 2640.25 & 2673.33 & -33.0859 & 9.7526 \tabularnewline
83 & 2700 & 2698.22 & 2672.5 & 25.7161 & 1.78385 \tabularnewline
84 & 2620 & 2625.87 & 2668.33 & -42.4609 & -5.8724 \tabularnewline
85 & 2630 & 3190.61 & 2660.42 & 530.195 & -560.612 \tabularnewline
86 & 2850 & 2877.96 & 2650.83 & 227.122 & -27.9557 \tabularnewline
87 & 2680 & 2399.88 & 2625.42 & -225.534 & 280.117 \tabularnewline
88 & 2430 & 1985.09 & 2610 & -624.909 & 444.909 \tabularnewline
89 & 2550 & 2115.77 & 2618.75 & -502.982 & 434.232 \tabularnewline
90 & 2570 & 2866.45 & 2615 & 251.445 & -296.445 \tabularnewline
91 & 2520 & 2415.72 & 2615.42 & -199.701 & 104.284 \tabularnewline
92 & 2500 & 2474.83 & 2619.17 & -144.336 & 25.1693 \tabularnewline
93 & 2550 & 3344.78 & 2606.25 & 738.529 & -794.779 \tabularnewline
94 & 2790 & 2561.08 & 2594.17 & -33.0859 & 228.919 \tabularnewline
95 & 2770 & 2616.97 & 2591.25 & 25.7161 & 153.034 \tabularnewline
96 & 2460 & 2585.87 & 2628.33 & -42.4609 & -125.872 \tabularnewline
97 & 2800 & 3203.11 & 2672.92 & 530.195 & -403.112 \tabularnewline
98 & 2770 & 2974.21 & 2747.08 & 227.122 & -204.206 \tabularnewline
99 & 2450 & 2642.38 & 2867.92 & -225.534 & -192.383 \tabularnewline
100 & 2370 & 2299.67 & 2924.58 & -624.909 & 70.3255 \tabularnewline
101 & 2540 & 2456.6 & 2959.58 & -502.982 & 83.3984 \tabularnewline
102 & 3470 & 3281.03 & 3029.58 & 251.445 & 188.971 \tabularnewline
103 & 2690 & NA & NA & -199.701 & NA \tabularnewline
104 & 4110 & NA & NA & -144.336 & NA \tabularnewline
105 & 3840 & NA & NA & 738.529 & NA \tabularnewline
106 & 2860 & NA & NA & -33.0859 & NA \tabularnewline
107 & 3540 & NA & NA & 25.7161 & NA \tabularnewline
108 & 3370 & NA & NA & -42.4609 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299230&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]4020[/C][C]NA[/C][C]NA[/C][C]530.195[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3540[/C][C]NA[/C][C]NA[/C][C]227.122[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3430[/C][C]NA[/C][C]NA[/C][C]-225.534[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4200[/C][C]NA[/C][C]NA[/C][C]-624.909[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3360[/C][C]NA[/C][C]NA[/C][C]-502.982[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4440[/C][C]NA[/C][C]NA[/C][C]251.445[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4390[/C][C]4119.88[/C][C]4319.58[/C][C]-199.701[/C][C]270.117[/C][/ROW]
[ROW][C]8[/C][C]4940[/C][C]4335.66[/C][C]4480[/C][C]-144.336[/C][C]604.336[/C][/ROW]
[ROW][C]9[/C][C]3940[/C][C]5347.28[/C][C]4608.75[/C][C]738.529[/C][C]-1407.28[/C][/ROW]
[ROW][C]10[/C][C]4560[/C][C]4675.25[/C][C]4708.33[/C][C]-33.0859[/C][C]-115.247[/C][/ROW]
[ROW][C]11[/C][C]4850[/C][C]4864.47[/C][C]4838.75[/C][C]25.7161[/C][C]-14.4661[/C][/ROW]
[ROW][C]12[/C][C]5070[/C][C]5069.62[/C][C]5112.08[/C][C]-42.4609[/C][C]0.377604[/C][/ROW]
[ROW][C]13[/C][C]6210[/C][C]5826.03[/C][C]5295.83[/C][C]530.195[/C][C]383.971[/C][/ROW]
[ROW][C]14[/C][C]5200[/C][C]5520.04[/C][C]5292.92[/C][C]227.122[/C][C]-320.039[/C][/ROW]
[ROW][C]15[/C][C]4860[/C][C]5272.8[/C][C]5498.33[/C][C]-225.534[/C][C]-412.799[/C][/ROW]
[ROW][C]16[/C][C]5160[/C][C]5085.09[/C][C]5710[/C][C]-624.909[/C][C]74.9089[/C][/ROW]
[ROW][C]17[/C][C]5530[/C][C]5220.77[/C][C]5723.75[/C][C]-502.982[/C][C]309.232[/C][/ROW]
[ROW][C]18[/C][C]8830[/C][C]5963.53[/C][C]5712.08[/C][C]251.445[/C][C]2866.47[/C][/ROW]
[ROW][C]19[/C][C]4410[/C][C]5600.3[/C][C]5800[/C][C]-199.701[/C][C]-1190.3[/C][/ROW]
[ROW][C]20[/C][C]4850[/C][C]5944.41[/C][C]6088.75[/C][C]-144.336[/C][C]-1094.41[/C][/ROW]
[ROW][C]21[/C][C]8960[/C][C]7077.28[/C][C]6338.75[/C][C]738.529[/C][C]1882.72[/C][/ROW]
[ROW][C]22[/C][C]4620[/C][C]6328.16[/C][C]6361.25[/C][C]-33.0859[/C][C]-1708.16[/C][/ROW]
[ROW][C]23[/C][C]5120[/C][C]6264.05[/C][C]6238.33[/C][C]25.7161[/C][C]-1144.05[/C][/ROW]
[ROW][C]24[/C][C]4520[/C][C]5983.79[/C][C]6026.25[/C][C]-42.4609[/C][C]-1463.79[/C][/ROW]
[ROW][C]25[/C][C]8870[/C][C]6508.11[/C][C]5977.92[/C][C]530.195[/C][C]2361.89[/C][/ROW]
[ROW][C]26[/C][C]9470[/C][C]6313.37[/C][C]6086.25[/C][C]227.122[/C][C]3156.63[/C][/ROW]
[ROW][C]27[/C][C]6590[/C][C]5865.3[/C][C]6090.83[/C][C]-225.534[/C][C]724.701[/C][/ROW]
[ROW][C]28[/C][C]3970[/C][C]5489.67[/C][C]6114.58[/C][C]-624.909[/C][C]-1519.67[/C][/ROW]
[ROW][C]29[/C][C]3770[/C][C]5672.43[/C][C]6175.42[/C][C]-502.982[/C][C]-1902.43[/C][/ROW]
[ROW][C]30[/C][C]5500[/C][C]6579.78[/C][C]6328.33[/C][C]251.445[/C][C]-1079.78[/C][/ROW]
[ROW][C]31[/C][C]6580[/C][C]6055.3[/C][C]6255[/C][C]-199.701[/C][C]524.701[/C][/ROW]
[ROW][C]32[/C][C]5280[/C][C]5662.33[/C][C]5806.67[/C][C]-144.336[/C][C]-382.331[/C][/ROW]
[ROW][C]33[/C][C]8640[/C][C]6193.11[/C][C]5454.58[/C][C]738.529[/C][C]2446.89[/C][/ROW]
[ROW][C]34[/C][C]5510[/C][C]5299.83[/C][C]5332.92[/C][C]-33.0859[/C][C]210.169[/C][/ROW]
[ROW][C]35[/C][C]5690[/C][C]5352.8[/C][C]5327.08[/C][C]25.7161[/C][C]337.201[/C][/ROW]
[ROW][C]36[/C][C]7620[/C][C]5192.96[/C][C]5235.42[/C][C]-42.4609[/C][C]2427.04[/C][/ROW]
[ROW][C]37[/C][C]4010[/C][C]5524.78[/C][C]4994.58[/C][C]530.195[/C][C]-1514.78[/C][/ROW]
[ROW][C]38[/C][C]3570[/C][C]5031.29[/C][C]4804.17[/C][C]227.122[/C][C]-1461.29[/C][/ROW]
[ROW][C]39[/C][C]4040[/C][C]4312.8[/C][C]4538.33[/C][C]-225.534[/C][C]-272.799[/C][/ROW]
[ROW][C]40[/C][C]3600[/C][C]3625.09[/C][C]4250[/C][C]-624.909[/C][C]-25.0911[/C][/ROW]
[ROW][C]41[/C][C]4000[/C][C]3602.85[/C][C]4105.83[/C][C]-502.982[/C][C]397.148[/C][/ROW]
[ROW][C]42[/C][C]3070[/C][C]4098.11[/C][C]3846.67[/C][C]251.445[/C][C]-1028.11[/C][/ROW]
[ROW][C]43[/C][C]3230[/C][C]3456.13[/C][C]3655.83[/C][C]-199.701[/C][C]-226.133[/C][/ROW]
[ROW][C]44[/C][C]4060[/C][C]3485.66[/C][C]3630[/C][C]-144.336[/C][C]574.336[/C][/ROW]
[ROW][C]45[/C][C]3480[/C][C]4308.53[/C][C]3570[/C][C]738.529[/C][C]-828.529[/C][/ROW]
[ROW][C]46[/C][C]3750[/C][C]3473.58[/C][C]3506.67[/C][C]-33.0859[/C][C]276.419[/C][/ROW]
[ROW][C]47[/C][C]3990[/C][C]3453.63[/C][C]3427.92[/C][C]25.7161[/C][C]536.367[/C][/ROW]
[ROW][C]48[/C][C]3100[/C][C]3355.04[/C][C]3397.5[/C][C]-42.4609[/C][C]-255.039[/C][/ROW]
[ROW][C]49[/C][C]3950[/C][C]3942.28[/C][C]3412.08[/C][C]530.195[/C][C]7.72135[/C][/ROW]
[ROW][C]50[/C][C]3010[/C][C]3586.71[/C][C]3359.58[/C][C]227.122[/C][C]-576.706[/C][/ROW]
[ROW][C]51[/C][C]3160[/C][C]3093.22[/C][C]3318.75[/C][C]-225.534[/C][C]66.7839[/C][/ROW]
[ROW][C]52[/C][C]2960[/C][C]2685.92[/C][C]3310.83[/C][C]-624.909[/C][C]274.076[/C][/ROW]
[ROW][C]53[/C][C]2750[/C][C]2751.18[/C][C]3254.17[/C][C]-502.982[/C][C]-1.1849[/C][/ROW]
[ROW][C]54[/C][C]3590[/C][C]3443.11[/C][C]3191.67[/C][C]251.445[/C][C]146.888[/C][/ROW]
[ROW][C]55[/C][C]3060[/C][C]2956.55[/C][C]3156.25[/C][C]-199.701[/C][C]103.451[/C][/ROW]
[ROW][C]56[/C][C]2970[/C][C]3001.08[/C][C]3145.42[/C][C]-144.336[/C][C]-31.0807[/C][/ROW]
[ROW][C]57[/C][C]3590[/C][C]3870.2[/C][C]3131.67[/C][C]738.529[/C][C]-280.195[/C][/ROW]
[ROW][C]58[/C][C]3450[/C][C]3076.08[/C][C]3109.17[/C][C]-33.0859[/C][C]373.919[/C][/ROW]
[ROW][C]59[/C][C]2930[/C][C]3139.47[/C][C]3113.75[/C][C]25.7161[/C][C]-209.466[/C][/ROW]
[ROW][C]60[/C][C]2660[/C][C]3049.62[/C][C]3092.08[/C][C]-42.4609[/C][C]-389.622[/C][/ROW]
[ROW][C]61[/C][C]3540[/C][C]3597.28[/C][C]3067.08[/C][C]530.195[/C][C]-57.2786[/C][/ROW]
[ROW][C]62[/C][C]3160[/C][C]3305.46[/C][C]3078.33[/C][C]227.122[/C][C]-145.456[/C][/ROW]
[ROW][C]63[/C][C]2680[/C][C]2840.72[/C][C]3066.25[/C][C]-225.534[/C][C]-160.716[/C][/ROW]
[ROW][C]64[/C][C]2900[/C][C]2433.01[/C][C]3057.92[/C][C]-624.909[/C][C]466.992[/C][/ROW]
[ROW][C]65[/C][C]2920[/C][C]2584.1[/C][C]3087.08[/C][C]-502.982[/C][C]335.898[/C][/ROW]
[ROW][C]66[/C][C]2900[/C][C]3359.78[/C][C]3108.33[/C][C]251.445[/C][C]-459.779[/C][/ROW]
[ROW][C]67[/C][C]3150[/C][C]2899.88[/C][C]3099.58[/C][C]-199.701[/C][C]250.117[/C][/ROW]
[ROW][C]68[/C][C]3150[/C][C]2924[/C][C]3068.33[/C][C]-144.336[/C][C]226.003[/C][/ROW]
[ROW][C]69[/C][C]3120[/C][C]3784.78[/C][C]3046.25[/C][C]738.529[/C][C]-664.779[/C][/ROW]
[ROW][C]70[/C][C]3720[/C][C]2989.83[/C][C]3022.92[/C][C]-33.0859[/C][C]730.169[/C][/ROW]
[ROW][C]71[/C][C]3360[/C][C]3014.47[/C][C]2988.75[/C][C]25.7161[/C][C]345.534[/C][/ROW]
[ROW][C]72[/C][C]2740[/C][C]2921.29[/C][C]2963.75[/C][C]-42.4609[/C][C]-181.289[/C][/ROW]
[ROW][C]73[/C][C]3250[/C][C]3461.86[/C][C]2931.67[/C][C]530.195[/C][C]-211.862[/C][/ROW]
[ROW][C]74[/C][C]2700[/C][C]3115.04[/C][C]2887.92[/C][C]227.122[/C][C]-415.039[/C][/ROW]
[ROW][C]75[/C][C]2610[/C][C]2636.97[/C][C]2862.5[/C][C]-225.534[/C][C]-26.9661[/C][/ROW]
[ROW][C]76[/C][C]2410[/C][C]2190.51[/C][C]2815.42[/C][C]-624.909[/C][C]219.492[/C][/ROW]
[ROW][C]77[/C][C]2590[/C][C]2240.35[/C][C]2743.33[/C][C]-502.982[/C][C]349.648[/C][/ROW]
[ROW][C]78[/C][C]2630[/C][C]2962.28[/C][C]2710.83[/C][C]251.445[/C][C]-332.279[/C][/ROW]
[ROW][C]79[/C][C]2650[/C][C]2480.3[/C][C]2680[/C][C]-199.701[/C][C]169.701[/C][/ROW]
[ROW][C]80[/C][C]2600[/C][C]2516.08[/C][C]2660.42[/C][C]-144.336[/C][C]83.9193[/C][/ROW]
[ROW][C]81[/C][C]3060[/C][C]3408.11[/C][C]2669.58[/C][C]738.529[/C][C]-348.112[/C][/ROW]
[ROW][C]82[/C][C]2650[/C][C]2640.25[/C][C]2673.33[/C][C]-33.0859[/C][C]9.7526[/C][/ROW]
[ROW][C]83[/C][C]2700[/C][C]2698.22[/C][C]2672.5[/C][C]25.7161[/C][C]1.78385[/C][/ROW]
[ROW][C]84[/C][C]2620[/C][C]2625.87[/C][C]2668.33[/C][C]-42.4609[/C][C]-5.8724[/C][/ROW]
[ROW][C]85[/C][C]2630[/C][C]3190.61[/C][C]2660.42[/C][C]530.195[/C][C]-560.612[/C][/ROW]
[ROW][C]86[/C][C]2850[/C][C]2877.96[/C][C]2650.83[/C][C]227.122[/C][C]-27.9557[/C][/ROW]
[ROW][C]87[/C][C]2680[/C][C]2399.88[/C][C]2625.42[/C][C]-225.534[/C][C]280.117[/C][/ROW]
[ROW][C]88[/C][C]2430[/C][C]1985.09[/C][C]2610[/C][C]-624.909[/C][C]444.909[/C][/ROW]
[ROW][C]89[/C][C]2550[/C][C]2115.77[/C][C]2618.75[/C][C]-502.982[/C][C]434.232[/C][/ROW]
[ROW][C]90[/C][C]2570[/C][C]2866.45[/C][C]2615[/C][C]251.445[/C][C]-296.445[/C][/ROW]
[ROW][C]91[/C][C]2520[/C][C]2415.72[/C][C]2615.42[/C][C]-199.701[/C][C]104.284[/C][/ROW]
[ROW][C]92[/C][C]2500[/C][C]2474.83[/C][C]2619.17[/C][C]-144.336[/C][C]25.1693[/C][/ROW]
[ROW][C]93[/C][C]2550[/C][C]3344.78[/C][C]2606.25[/C][C]738.529[/C][C]-794.779[/C][/ROW]
[ROW][C]94[/C][C]2790[/C][C]2561.08[/C][C]2594.17[/C][C]-33.0859[/C][C]228.919[/C][/ROW]
[ROW][C]95[/C][C]2770[/C][C]2616.97[/C][C]2591.25[/C][C]25.7161[/C][C]153.034[/C][/ROW]
[ROW][C]96[/C][C]2460[/C][C]2585.87[/C][C]2628.33[/C][C]-42.4609[/C][C]-125.872[/C][/ROW]
[ROW][C]97[/C][C]2800[/C][C]3203.11[/C][C]2672.92[/C][C]530.195[/C][C]-403.112[/C][/ROW]
[ROW][C]98[/C][C]2770[/C][C]2974.21[/C][C]2747.08[/C][C]227.122[/C][C]-204.206[/C][/ROW]
[ROW][C]99[/C][C]2450[/C][C]2642.38[/C][C]2867.92[/C][C]-225.534[/C][C]-192.383[/C][/ROW]
[ROW][C]100[/C][C]2370[/C][C]2299.67[/C][C]2924.58[/C][C]-624.909[/C][C]70.3255[/C][/ROW]
[ROW][C]101[/C][C]2540[/C][C]2456.6[/C][C]2959.58[/C][C]-502.982[/C][C]83.3984[/C][/ROW]
[ROW][C]102[/C][C]3470[/C][C]3281.03[/C][C]3029.58[/C][C]251.445[/C][C]188.971[/C][/ROW]
[ROW][C]103[/C][C]2690[/C][C]NA[/C][C]NA[/C][C]-199.701[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]4110[/C][C]NA[/C][C]NA[/C][C]-144.336[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]3840[/C][C]NA[/C][C]NA[/C][C]738.529[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]2860[/C][C]NA[/C][C]NA[/C][C]-33.0859[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]3540[/C][C]NA[/C][C]NA[/C][C]25.7161[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]3370[/C][C]NA[/C][C]NA[/C][C]-42.4609[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299230&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299230&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
14020NANA530.195NA
23540NANA227.122NA
33430NANA-225.534NA
44200NANA-624.909NA
53360NANA-502.982NA
64440NANA251.445NA
743904119.884319.58-199.701270.117
849404335.664480-144.336604.336
939405347.284608.75738.529-1407.28
1045604675.254708.33-33.0859-115.247
1148504864.474838.7525.7161-14.4661
1250705069.625112.08-42.46090.377604
1362105826.035295.83530.195383.971
1452005520.045292.92227.122-320.039
1548605272.85498.33-225.534-412.799
1651605085.095710-624.90974.9089
1755305220.775723.75-502.982309.232
1888305963.535712.08251.4452866.47
1944105600.35800-199.701-1190.3
2048505944.416088.75-144.336-1094.41
2189607077.286338.75738.5291882.72
2246206328.166361.25-33.0859-1708.16
2351206264.056238.3325.7161-1144.05
2445205983.796026.25-42.4609-1463.79
2588706508.115977.92530.1952361.89
2694706313.376086.25227.1223156.63
2765905865.36090.83-225.534724.701
2839705489.676114.58-624.909-1519.67
2937705672.436175.42-502.982-1902.43
3055006579.786328.33251.445-1079.78
3165806055.36255-199.701524.701
3252805662.335806.67-144.336-382.331
3386406193.115454.58738.5292446.89
3455105299.835332.92-33.0859210.169
3556905352.85327.0825.7161337.201
3676205192.965235.42-42.46092427.04
3740105524.784994.58530.195-1514.78
3835705031.294804.17227.122-1461.29
3940404312.84538.33-225.534-272.799
4036003625.094250-624.909-25.0911
4140003602.854105.83-502.982397.148
4230704098.113846.67251.445-1028.11
4332303456.133655.83-199.701-226.133
4440603485.663630-144.336574.336
4534804308.533570738.529-828.529
4637503473.583506.67-33.0859276.419
4739903453.633427.9225.7161536.367
4831003355.043397.5-42.4609-255.039
4939503942.283412.08530.1957.72135
5030103586.713359.58227.122-576.706
5131603093.223318.75-225.53466.7839
5229602685.923310.83-624.909274.076
5327502751.183254.17-502.982-1.1849
5435903443.113191.67251.445146.888
5530602956.553156.25-199.701103.451
5629703001.083145.42-144.336-31.0807
5735903870.23131.67738.529-280.195
5834503076.083109.17-33.0859373.919
5929303139.473113.7525.7161-209.466
6026603049.623092.08-42.4609-389.622
6135403597.283067.08530.195-57.2786
6231603305.463078.33227.122-145.456
6326802840.723066.25-225.534-160.716
6429002433.013057.92-624.909466.992
6529202584.13087.08-502.982335.898
6629003359.783108.33251.445-459.779
6731502899.883099.58-199.701250.117
68315029243068.33-144.336226.003
6931203784.783046.25738.529-664.779
7037202989.833022.92-33.0859730.169
7133603014.472988.7525.7161345.534
7227402921.292963.75-42.4609-181.289
7332503461.862931.67530.195-211.862
7427003115.042887.92227.122-415.039
7526102636.972862.5-225.534-26.9661
7624102190.512815.42-624.909219.492
7725902240.352743.33-502.982349.648
7826302962.282710.83251.445-332.279
7926502480.32680-199.701169.701
8026002516.082660.42-144.33683.9193
8130603408.112669.58738.529-348.112
8226502640.252673.33-33.08599.7526
8327002698.222672.525.71611.78385
8426202625.872668.33-42.4609-5.8724
8526303190.612660.42530.195-560.612
8628502877.962650.83227.122-27.9557
8726802399.882625.42-225.534280.117
8824301985.092610-624.909444.909
8925502115.772618.75-502.982434.232
9025702866.452615251.445-296.445
9125202415.722615.42-199.701104.284
9225002474.832619.17-144.33625.1693
9325503344.782606.25738.529-794.779
9427902561.082594.17-33.0859228.919
9527702616.972591.2525.7161153.034
9624602585.872628.33-42.4609-125.872
9728003203.112672.92530.195-403.112
9827702974.212747.08227.122-204.206
9924502642.382867.92-225.534-192.383
10023702299.672924.58-624.90970.3255
10125402456.62959.58-502.98283.3984
10234703281.033029.58251.445188.971
1032690NANA-199.701NA
1044110NANA-144.336NA
1053840NANA738.529NA
1062860NANA-33.0859NA
1073540NANA25.7161NA
1083370NANA-42.4609NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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')