Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 19 Dec 2016 14:55:34 +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/19/t1482155749w4w112n5odo102k.htm/, Retrieved Fri, 17 May 2024 15:16:23 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 15:16:23 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
2312
1089
2742
3145
2966
2055
2450
2742
1697
2409
2233
2100
3434
1867
2365
3578
2845
2778
2056
2757
3325
3671
2147
3225
3556
4661
3344
5375
3907
3356
2184
3510
2834
3271
2834
2408
3261
1526
2938
2352
3915
3145
1566
2746
3572
2651
2805
3354
2523
1480
3278
5081
3332
2789
4111
2508
1833
2371
4268
2194
2935
3347
3034
5448
3427
3036
4196
3009
3369
4168
3403
1779
2761
2582
3153
3011
3419
4042
4379
4602
3249
4372
4328
3695
3614
2114
2839
2490
2610
2372
2833
4018
2734
3027
3862
3281
2746
2538
1805
2500
2601
3178
4193
2606
2491
4090
2786
2280
2403
2934
1601
1946
2554
2006
2830
3173
1960
3052
2151
2493
2752
2542
2027
1940
1877




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=&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=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
12312NANA1.01146NA
21089NANA0.843244NA
32742NANA0.890736NA
43145NANA1.15172NA
52966NANA1.05472NA
62055NANA0.977427NA
724502470.022375.081.039970.991896
827422626.982454.251.070381.04378
916972244.512470.960.9083570.756066
1024092761.262473.291.116430.872427
1122332581.592486.291.038330.864972
1221002253.272511.370.8972240.93198
1334342554.022525.081.011461.34455
1418672115.952509.290.8432440.882348
1523652296.092577.750.8907361.03001
1635783107.532698.171.151721.1514
1728452897.52747.171.054720.981882
1827782727.472790.460.9774271.01853
1920562956.032842.421.039970.695527
2027573172.512963.921.070380.869027
2133252835.13121.120.9083571.1728
2236713613.663236.791.116431.01587
2321473484.543355.921.038330.61615
2432253072.323424.250.8972241.0497
2535563493.243453.671.011461.01797
2646612943.243490.370.8432441.58363
2733443118.723501.290.8907361.07223
2853753989.753464.171.151721.3472
2939073666.343476.121.054721.06564
3033563392.363470.710.9774270.989281
3121843561.253424.371.039970.613268
3235103512.43281.461.070380.999315
3328342846.723133.920.9083570.995533
3432713339.32991.041.116430.979548
3528342975.242865.421.038330.952527
3624082563.332856.960.8972240.939402
3732612854.762822.421.011461.1423
3815262331.432764.830.8432440.654534
3929382461.772763.750.8907361.19345
4023523188.732768.671.151720.737598
4139152891.652741.621.054721.3539
4231452717.082779.830.9774271.15749
4315662899.962788.51.039970.540008
4427462949.792755.831.070380.930915
4535722514.412768.080.9083571.42061
4626513233.142895.961.116430.819946
4728053099.82985.381.038330.904898
4833542643.452946.250.8972241.2688
4925233072.263037.461.011460.821218
5014802642.383133.580.8432440.560102
5132782717.823051.210.8907361.20611
5250813417.252967.081.151721.48687
5333323181.443016.381.054721.04733
5427892960.6330290.9774270.942031
5541113117.662997.831.039971.31862
5625083310.463092.791.070380.757599
5718332870.793160.420.9083570.638501
5823713534.113165.541.116430.67089
5942683306.863184.791.038331.29065
6021942870.263199.040.8972240.764391
6129353249.693212.871.011460.903163
6233472729.833237.290.8432441.22608
6330342959.173322.170.8907361.02529
6454483986.153461.041.151721.36673
6534273691.393499.881.054720.928375
6630363368.743446.540.9774270.901227
6741963558.7834221.039971.17906
6830093620.963382.881.070380.830995
6933693048.413355.960.9083571.10517
7041683638.873259.381.116431.14541
7134033278.523157.51.038331.03797
7217792870.33199.080.8972240.619797
7327613285.853248.631.011460.840269
7425822801.783322.630.8432440.921555
7531533014.2533840.8907361.04603
7630113901.453387.51.151720.771764
7734193622.493434.541.054720.943827
7840423472.723552.920.9774271.16393
7943793814.923668.291.039971.14786
8046023943.633684.331.070381.16694
8132493317.093651.750.9083570.979472
8243724038.093616.961.116431.08269
8343283698.053561.541.038331.17035
8436953102.833458.250.8972241.19085
8536143362.343324.251.011461.07485
8621142728.323235.50.8432440.774837
8728392841.193189.710.8907360.99923
8824903584.393112.211.151720.694678
8926103202.933036.751.054720.81488
9023722932.363000.080.9774270.808904
9128333064.452946.671.039970.924473
9240183134.252928.171.070381.28197
9327342636.732902.750.9083571.03689
9430273193.092860.081.116430.947985
9538622969.752860.121.038331.30045
9632812595.972893.330.8972241.26388
9727463017.772983.581.011460.909943
9825382514.062981.420.8432441.00952
9918052594.232912.460.8907360.695775
10025003393.692946.621.151720.736662
10126013107.32946.081.054720.837062
10231782794.992859.540.9774271.13703
10341932915.62803.541.039971.43812
10426063003.222805.751.070380.867736
10524912555.892813.750.9083570.974612
10640903106.12782.171.116431.31676
10727862862.82757.121.038330.973173
10822802428.192706.330.8972240.938972
10924032630.512600.711.011460.913511
11029342165.072567.540.8432441.35516
11116012288.342569.040.8907360.699635
11219462883.522503.671.151720.674869
11325542567.152433.961.054720.994878
11420062361.832416.380.9774270.849342
11528302537.312439.791.039971.11535
11631732609.5824381.070381.2159
11719602215.862439.420.9083570.884532
11830522742.982456.921.116431.11266
11921512521.542428.461.038330.853051
1202493NANA0.897224NA
1212752NANA1.01146NA
1222542NANA0.843244NA
1232027NANA0.890736NA
1241940NANA1.15172NA
1251877NANA1.05472NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2312 & NA & NA & 1.01146 & NA \tabularnewline
2 & 1089 & NA & NA & 0.843244 & NA \tabularnewline
3 & 2742 & NA & NA & 0.890736 & NA \tabularnewline
4 & 3145 & NA & NA & 1.15172 & NA \tabularnewline
5 & 2966 & NA & NA & 1.05472 & NA \tabularnewline
6 & 2055 & NA & NA & 0.977427 & NA \tabularnewline
7 & 2450 & 2470.02 & 2375.08 & 1.03997 & 0.991896 \tabularnewline
8 & 2742 & 2626.98 & 2454.25 & 1.07038 & 1.04378 \tabularnewline
9 & 1697 & 2244.51 & 2470.96 & 0.908357 & 0.756066 \tabularnewline
10 & 2409 & 2761.26 & 2473.29 & 1.11643 & 0.872427 \tabularnewline
11 & 2233 & 2581.59 & 2486.29 & 1.03833 & 0.864972 \tabularnewline
12 & 2100 & 2253.27 & 2511.37 & 0.897224 & 0.93198 \tabularnewline
13 & 3434 & 2554.02 & 2525.08 & 1.01146 & 1.34455 \tabularnewline
14 & 1867 & 2115.95 & 2509.29 & 0.843244 & 0.882348 \tabularnewline
15 & 2365 & 2296.09 & 2577.75 & 0.890736 & 1.03001 \tabularnewline
16 & 3578 & 3107.53 & 2698.17 & 1.15172 & 1.1514 \tabularnewline
17 & 2845 & 2897.5 & 2747.17 & 1.05472 & 0.981882 \tabularnewline
18 & 2778 & 2727.47 & 2790.46 & 0.977427 & 1.01853 \tabularnewline
19 & 2056 & 2956.03 & 2842.42 & 1.03997 & 0.695527 \tabularnewline
20 & 2757 & 3172.51 & 2963.92 & 1.07038 & 0.869027 \tabularnewline
21 & 3325 & 2835.1 & 3121.12 & 0.908357 & 1.1728 \tabularnewline
22 & 3671 & 3613.66 & 3236.79 & 1.11643 & 1.01587 \tabularnewline
23 & 2147 & 3484.54 & 3355.92 & 1.03833 & 0.61615 \tabularnewline
24 & 3225 & 3072.32 & 3424.25 & 0.897224 & 1.0497 \tabularnewline
25 & 3556 & 3493.24 & 3453.67 & 1.01146 & 1.01797 \tabularnewline
26 & 4661 & 2943.24 & 3490.37 & 0.843244 & 1.58363 \tabularnewline
27 & 3344 & 3118.72 & 3501.29 & 0.890736 & 1.07223 \tabularnewline
28 & 5375 & 3989.75 & 3464.17 & 1.15172 & 1.3472 \tabularnewline
29 & 3907 & 3666.34 & 3476.12 & 1.05472 & 1.06564 \tabularnewline
30 & 3356 & 3392.36 & 3470.71 & 0.977427 & 0.989281 \tabularnewline
31 & 2184 & 3561.25 & 3424.37 & 1.03997 & 0.613268 \tabularnewline
32 & 3510 & 3512.4 & 3281.46 & 1.07038 & 0.999315 \tabularnewline
33 & 2834 & 2846.72 & 3133.92 & 0.908357 & 0.995533 \tabularnewline
34 & 3271 & 3339.3 & 2991.04 & 1.11643 & 0.979548 \tabularnewline
35 & 2834 & 2975.24 & 2865.42 & 1.03833 & 0.952527 \tabularnewline
36 & 2408 & 2563.33 & 2856.96 & 0.897224 & 0.939402 \tabularnewline
37 & 3261 & 2854.76 & 2822.42 & 1.01146 & 1.1423 \tabularnewline
38 & 1526 & 2331.43 & 2764.83 & 0.843244 & 0.654534 \tabularnewline
39 & 2938 & 2461.77 & 2763.75 & 0.890736 & 1.19345 \tabularnewline
40 & 2352 & 3188.73 & 2768.67 & 1.15172 & 0.737598 \tabularnewline
41 & 3915 & 2891.65 & 2741.62 & 1.05472 & 1.3539 \tabularnewline
42 & 3145 & 2717.08 & 2779.83 & 0.977427 & 1.15749 \tabularnewline
43 & 1566 & 2899.96 & 2788.5 & 1.03997 & 0.540008 \tabularnewline
44 & 2746 & 2949.79 & 2755.83 & 1.07038 & 0.930915 \tabularnewline
45 & 3572 & 2514.41 & 2768.08 & 0.908357 & 1.42061 \tabularnewline
46 & 2651 & 3233.14 & 2895.96 & 1.11643 & 0.819946 \tabularnewline
47 & 2805 & 3099.8 & 2985.38 & 1.03833 & 0.904898 \tabularnewline
48 & 3354 & 2643.45 & 2946.25 & 0.897224 & 1.2688 \tabularnewline
49 & 2523 & 3072.26 & 3037.46 & 1.01146 & 0.821218 \tabularnewline
50 & 1480 & 2642.38 & 3133.58 & 0.843244 & 0.560102 \tabularnewline
51 & 3278 & 2717.82 & 3051.21 & 0.890736 & 1.20611 \tabularnewline
52 & 5081 & 3417.25 & 2967.08 & 1.15172 & 1.48687 \tabularnewline
53 & 3332 & 3181.44 & 3016.38 & 1.05472 & 1.04733 \tabularnewline
54 & 2789 & 2960.63 & 3029 & 0.977427 & 0.942031 \tabularnewline
55 & 4111 & 3117.66 & 2997.83 & 1.03997 & 1.31862 \tabularnewline
56 & 2508 & 3310.46 & 3092.79 & 1.07038 & 0.757599 \tabularnewline
57 & 1833 & 2870.79 & 3160.42 & 0.908357 & 0.638501 \tabularnewline
58 & 2371 & 3534.11 & 3165.54 & 1.11643 & 0.67089 \tabularnewline
59 & 4268 & 3306.86 & 3184.79 & 1.03833 & 1.29065 \tabularnewline
60 & 2194 & 2870.26 & 3199.04 & 0.897224 & 0.764391 \tabularnewline
61 & 2935 & 3249.69 & 3212.87 & 1.01146 & 0.903163 \tabularnewline
62 & 3347 & 2729.83 & 3237.29 & 0.843244 & 1.22608 \tabularnewline
63 & 3034 & 2959.17 & 3322.17 & 0.890736 & 1.02529 \tabularnewline
64 & 5448 & 3986.15 & 3461.04 & 1.15172 & 1.36673 \tabularnewline
65 & 3427 & 3691.39 & 3499.88 & 1.05472 & 0.928375 \tabularnewline
66 & 3036 & 3368.74 & 3446.54 & 0.977427 & 0.901227 \tabularnewline
67 & 4196 & 3558.78 & 3422 & 1.03997 & 1.17906 \tabularnewline
68 & 3009 & 3620.96 & 3382.88 & 1.07038 & 0.830995 \tabularnewline
69 & 3369 & 3048.41 & 3355.96 & 0.908357 & 1.10517 \tabularnewline
70 & 4168 & 3638.87 & 3259.38 & 1.11643 & 1.14541 \tabularnewline
71 & 3403 & 3278.52 & 3157.5 & 1.03833 & 1.03797 \tabularnewline
72 & 1779 & 2870.3 & 3199.08 & 0.897224 & 0.619797 \tabularnewline
73 & 2761 & 3285.85 & 3248.63 & 1.01146 & 0.840269 \tabularnewline
74 & 2582 & 2801.78 & 3322.63 & 0.843244 & 0.921555 \tabularnewline
75 & 3153 & 3014.25 & 3384 & 0.890736 & 1.04603 \tabularnewline
76 & 3011 & 3901.45 & 3387.5 & 1.15172 & 0.771764 \tabularnewline
77 & 3419 & 3622.49 & 3434.54 & 1.05472 & 0.943827 \tabularnewline
78 & 4042 & 3472.72 & 3552.92 & 0.977427 & 1.16393 \tabularnewline
79 & 4379 & 3814.92 & 3668.29 & 1.03997 & 1.14786 \tabularnewline
80 & 4602 & 3943.63 & 3684.33 & 1.07038 & 1.16694 \tabularnewline
81 & 3249 & 3317.09 & 3651.75 & 0.908357 & 0.979472 \tabularnewline
82 & 4372 & 4038.09 & 3616.96 & 1.11643 & 1.08269 \tabularnewline
83 & 4328 & 3698.05 & 3561.54 & 1.03833 & 1.17035 \tabularnewline
84 & 3695 & 3102.83 & 3458.25 & 0.897224 & 1.19085 \tabularnewline
85 & 3614 & 3362.34 & 3324.25 & 1.01146 & 1.07485 \tabularnewline
86 & 2114 & 2728.32 & 3235.5 & 0.843244 & 0.774837 \tabularnewline
87 & 2839 & 2841.19 & 3189.71 & 0.890736 & 0.99923 \tabularnewline
88 & 2490 & 3584.39 & 3112.21 & 1.15172 & 0.694678 \tabularnewline
89 & 2610 & 3202.93 & 3036.75 & 1.05472 & 0.81488 \tabularnewline
90 & 2372 & 2932.36 & 3000.08 & 0.977427 & 0.808904 \tabularnewline
91 & 2833 & 3064.45 & 2946.67 & 1.03997 & 0.924473 \tabularnewline
92 & 4018 & 3134.25 & 2928.17 & 1.07038 & 1.28197 \tabularnewline
93 & 2734 & 2636.73 & 2902.75 & 0.908357 & 1.03689 \tabularnewline
94 & 3027 & 3193.09 & 2860.08 & 1.11643 & 0.947985 \tabularnewline
95 & 3862 & 2969.75 & 2860.12 & 1.03833 & 1.30045 \tabularnewline
96 & 3281 & 2595.97 & 2893.33 & 0.897224 & 1.26388 \tabularnewline
97 & 2746 & 3017.77 & 2983.58 & 1.01146 & 0.909943 \tabularnewline
98 & 2538 & 2514.06 & 2981.42 & 0.843244 & 1.00952 \tabularnewline
99 & 1805 & 2594.23 & 2912.46 & 0.890736 & 0.695775 \tabularnewline
100 & 2500 & 3393.69 & 2946.62 & 1.15172 & 0.736662 \tabularnewline
101 & 2601 & 3107.3 & 2946.08 & 1.05472 & 0.837062 \tabularnewline
102 & 3178 & 2794.99 & 2859.54 & 0.977427 & 1.13703 \tabularnewline
103 & 4193 & 2915.6 & 2803.54 & 1.03997 & 1.43812 \tabularnewline
104 & 2606 & 3003.22 & 2805.75 & 1.07038 & 0.867736 \tabularnewline
105 & 2491 & 2555.89 & 2813.75 & 0.908357 & 0.974612 \tabularnewline
106 & 4090 & 3106.1 & 2782.17 & 1.11643 & 1.31676 \tabularnewline
107 & 2786 & 2862.8 & 2757.12 & 1.03833 & 0.973173 \tabularnewline
108 & 2280 & 2428.19 & 2706.33 & 0.897224 & 0.938972 \tabularnewline
109 & 2403 & 2630.51 & 2600.71 & 1.01146 & 0.913511 \tabularnewline
110 & 2934 & 2165.07 & 2567.54 & 0.843244 & 1.35516 \tabularnewline
111 & 1601 & 2288.34 & 2569.04 & 0.890736 & 0.699635 \tabularnewline
112 & 1946 & 2883.52 & 2503.67 & 1.15172 & 0.674869 \tabularnewline
113 & 2554 & 2567.15 & 2433.96 & 1.05472 & 0.994878 \tabularnewline
114 & 2006 & 2361.83 & 2416.38 & 0.977427 & 0.849342 \tabularnewline
115 & 2830 & 2537.31 & 2439.79 & 1.03997 & 1.11535 \tabularnewline
116 & 3173 & 2609.58 & 2438 & 1.07038 & 1.2159 \tabularnewline
117 & 1960 & 2215.86 & 2439.42 & 0.908357 & 0.884532 \tabularnewline
118 & 3052 & 2742.98 & 2456.92 & 1.11643 & 1.11266 \tabularnewline
119 & 2151 & 2521.54 & 2428.46 & 1.03833 & 0.853051 \tabularnewline
120 & 2493 & NA & NA & 0.897224 & NA \tabularnewline
121 & 2752 & NA & NA & 1.01146 & NA \tabularnewline
122 & 2542 & NA & NA & 0.843244 & NA \tabularnewline
123 & 2027 & NA & NA & 0.890736 & NA \tabularnewline
124 & 1940 & NA & NA & 1.15172 & NA \tabularnewline
125 & 1877 & NA & NA & 1.05472 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]2312[/C][C]NA[/C][C]NA[/C][C]1.01146[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1089[/C][C]NA[/C][C]NA[/C][C]0.843244[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2742[/C][C]NA[/C][C]NA[/C][C]0.890736[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3145[/C][C]NA[/C][C]NA[/C][C]1.15172[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2966[/C][C]NA[/C][C]NA[/C][C]1.05472[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2055[/C][C]NA[/C][C]NA[/C][C]0.977427[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2450[/C][C]2470.02[/C][C]2375.08[/C][C]1.03997[/C][C]0.991896[/C][/ROW]
[ROW][C]8[/C][C]2742[/C][C]2626.98[/C][C]2454.25[/C][C]1.07038[/C][C]1.04378[/C][/ROW]
[ROW][C]9[/C][C]1697[/C][C]2244.51[/C][C]2470.96[/C][C]0.908357[/C][C]0.756066[/C][/ROW]
[ROW][C]10[/C][C]2409[/C][C]2761.26[/C][C]2473.29[/C][C]1.11643[/C][C]0.872427[/C][/ROW]
[ROW][C]11[/C][C]2233[/C][C]2581.59[/C][C]2486.29[/C][C]1.03833[/C][C]0.864972[/C][/ROW]
[ROW][C]12[/C][C]2100[/C][C]2253.27[/C][C]2511.37[/C][C]0.897224[/C][C]0.93198[/C][/ROW]
[ROW][C]13[/C][C]3434[/C][C]2554.02[/C][C]2525.08[/C][C]1.01146[/C][C]1.34455[/C][/ROW]
[ROW][C]14[/C][C]1867[/C][C]2115.95[/C][C]2509.29[/C][C]0.843244[/C][C]0.882348[/C][/ROW]
[ROW][C]15[/C][C]2365[/C][C]2296.09[/C][C]2577.75[/C][C]0.890736[/C][C]1.03001[/C][/ROW]
[ROW][C]16[/C][C]3578[/C][C]3107.53[/C][C]2698.17[/C][C]1.15172[/C][C]1.1514[/C][/ROW]
[ROW][C]17[/C][C]2845[/C][C]2897.5[/C][C]2747.17[/C][C]1.05472[/C][C]0.981882[/C][/ROW]
[ROW][C]18[/C][C]2778[/C][C]2727.47[/C][C]2790.46[/C][C]0.977427[/C][C]1.01853[/C][/ROW]
[ROW][C]19[/C][C]2056[/C][C]2956.03[/C][C]2842.42[/C][C]1.03997[/C][C]0.695527[/C][/ROW]
[ROW][C]20[/C][C]2757[/C][C]3172.51[/C][C]2963.92[/C][C]1.07038[/C][C]0.869027[/C][/ROW]
[ROW][C]21[/C][C]3325[/C][C]2835.1[/C][C]3121.12[/C][C]0.908357[/C][C]1.1728[/C][/ROW]
[ROW][C]22[/C][C]3671[/C][C]3613.66[/C][C]3236.79[/C][C]1.11643[/C][C]1.01587[/C][/ROW]
[ROW][C]23[/C][C]2147[/C][C]3484.54[/C][C]3355.92[/C][C]1.03833[/C][C]0.61615[/C][/ROW]
[ROW][C]24[/C][C]3225[/C][C]3072.32[/C][C]3424.25[/C][C]0.897224[/C][C]1.0497[/C][/ROW]
[ROW][C]25[/C][C]3556[/C][C]3493.24[/C][C]3453.67[/C][C]1.01146[/C][C]1.01797[/C][/ROW]
[ROW][C]26[/C][C]4661[/C][C]2943.24[/C][C]3490.37[/C][C]0.843244[/C][C]1.58363[/C][/ROW]
[ROW][C]27[/C][C]3344[/C][C]3118.72[/C][C]3501.29[/C][C]0.890736[/C][C]1.07223[/C][/ROW]
[ROW][C]28[/C][C]5375[/C][C]3989.75[/C][C]3464.17[/C][C]1.15172[/C][C]1.3472[/C][/ROW]
[ROW][C]29[/C][C]3907[/C][C]3666.34[/C][C]3476.12[/C][C]1.05472[/C][C]1.06564[/C][/ROW]
[ROW][C]30[/C][C]3356[/C][C]3392.36[/C][C]3470.71[/C][C]0.977427[/C][C]0.989281[/C][/ROW]
[ROW][C]31[/C][C]2184[/C][C]3561.25[/C][C]3424.37[/C][C]1.03997[/C][C]0.613268[/C][/ROW]
[ROW][C]32[/C][C]3510[/C][C]3512.4[/C][C]3281.46[/C][C]1.07038[/C][C]0.999315[/C][/ROW]
[ROW][C]33[/C][C]2834[/C][C]2846.72[/C][C]3133.92[/C][C]0.908357[/C][C]0.995533[/C][/ROW]
[ROW][C]34[/C][C]3271[/C][C]3339.3[/C][C]2991.04[/C][C]1.11643[/C][C]0.979548[/C][/ROW]
[ROW][C]35[/C][C]2834[/C][C]2975.24[/C][C]2865.42[/C][C]1.03833[/C][C]0.952527[/C][/ROW]
[ROW][C]36[/C][C]2408[/C][C]2563.33[/C][C]2856.96[/C][C]0.897224[/C][C]0.939402[/C][/ROW]
[ROW][C]37[/C][C]3261[/C][C]2854.76[/C][C]2822.42[/C][C]1.01146[/C][C]1.1423[/C][/ROW]
[ROW][C]38[/C][C]1526[/C][C]2331.43[/C][C]2764.83[/C][C]0.843244[/C][C]0.654534[/C][/ROW]
[ROW][C]39[/C][C]2938[/C][C]2461.77[/C][C]2763.75[/C][C]0.890736[/C][C]1.19345[/C][/ROW]
[ROW][C]40[/C][C]2352[/C][C]3188.73[/C][C]2768.67[/C][C]1.15172[/C][C]0.737598[/C][/ROW]
[ROW][C]41[/C][C]3915[/C][C]2891.65[/C][C]2741.62[/C][C]1.05472[/C][C]1.3539[/C][/ROW]
[ROW][C]42[/C][C]3145[/C][C]2717.08[/C][C]2779.83[/C][C]0.977427[/C][C]1.15749[/C][/ROW]
[ROW][C]43[/C][C]1566[/C][C]2899.96[/C][C]2788.5[/C][C]1.03997[/C][C]0.540008[/C][/ROW]
[ROW][C]44[/C][C]2746[/C][C]2949.79[/C][C]2755.83[/C][C]1.07038[/C][C]0.930915[/C][/ROW]
[ROW][C]45[/C][C]3572[/C][C]2514.41[/C][C]2768.08[/C][C]0.908357[/C][C]1.42061[/C][/ROW]
[ROW][C]46[/C][C]2651[/C][C]3233.14[/C][C]2895.96[/C][C]1.11643[/C][C]0.819946[/C][/ROW]
[ROW][C]47[/C][C]2805[/C][C]3099.8[/C][C]2985.38[/C][C]1.03833[/C][C]0.904898[/C][/ROW]
[ROW][C]48[/C][C]3354[/C][C]2643.45[/C][C]2946.25[/C][C]0.897224[/C][C]1.2688[/C][/ROW]
[ROW][C]49[/C][C]2523[/C][C]3072.26[/C][C]3037.46[/C][C]1.01146[/C][C]0.821218[/C][/ROW]
[ROW][C]50[/C][C]1480[/C][C]2642.38[/C][C]3133.58[/C][C]0.843244[/C][C]0.560102[/C][/ROW]
[ROW][C]51[/C][C]3278[/C][C]2717.82[/C][C]3051.21[/C][C]0.890736[/C][C]1.20611[/C][/ROW]
[ROW][C]52[/C][C]5081[/C][C]3417.25[/C][C]2967.08[/C][C]1.15172[/C][C]1.48687[/C][/ROW]
[ROW][C]53[/C][C]3332[/C][C]3181.44[/C][C]3016.38[/C][C]1.05472[/C][C]1.04733[/C][/ROW]
[ROW][C]54[/C][C]2789[/C][C]2960.63[/C][C]3029[/C][C]0.977427[/C][C]0.942031[/C][/ROW]
[ROW][C]55[/C][C]4111[/C][C]3117.66[/C][C]2997.83[/C][C]1.03997[/C][C]1.31862[/C][/ROW]
[ROW][C]56[/C][C]2508[/C][C]3310.46[/C][C]3092.79[/C][C]1.07038[/C][C]0.757599[/C][/ROW]
[ROW][C]57[/C][C]1833[/C][C]2870.79[/C][C]3160.42[/C][C]0.908357[/C][C]0.638501[/C][/ROW]
[ROW][C]58[/C][C]2371[/C][C]3534.11[/C][C]3165.54[/C][C]1.11643[/C][C]0.67089[/C][/ROW]
[ROW][C]59[/C][C]4268[/C][C]3306.86[/C][C]3184.79[/C][C]1.03833[/C][C]1.29065[/C][/ROW]
[ROW][C]60[/C][C]2194[/C][C]2870.26[/C][C]3199.04[/C][C]0.897224[/C][C]0.764391[/C][/ROW]
[ROW][C]61[/C][C]2935[/C][C]3249.69[/C][C]3212.87[/C][C]1.01146[/C][C]0.903163[/C][/ROW]
[ROW][C]62[/C][C]3347[/C][C]2729.83[/C][C]3237.29[/C][C]0.843244[/C][C]1.22608[/C][/ROW]
[ROW][C]63[/C][C]3034[/C][C]2959.17[/C][C]3322.17[/C][C]0.890736[/C][C]1.02529[/C][/ROW]
[ROW][C]64[/C][C]5448[/C][C]3986.15[/C][C]3461.04[/C][C]1.15172[/C][C]1.36673[/C][/ROW]
[ROW][C]65[/C][C]3427[/C][C]3691.39[/C][C]3499.88[/C][C]1.05472[/C][C]0.928375[/C][/ROW]
[ROW][C]66[/C][C]3036[/C][C]3368.74[/C][C]3446.54[/C][C]0.977427[/C][C]0.901227[/C][/ROW]
[ROW][C]67[/C][C]4196[/C][C]3558.78[/C][C]3422[/C][C]1.03997[/C][C]1.17906[/C][/ROW]
[ROW][C]68[/C][C]3009[/C][C]3620.96[/C][C]3382.88[/C][C]1.07038[/C][C]0.830995[/C][/ROW]
[ROW][C]69[/C][C]3369[/C][C]3048.41[/C][C]3355.96[/C][C]0.908357[/C][C]1.10517[/C][/ROW]
[ROW][C]70[/C][C]4168[/C][C]3638.87[/C][C]3259.38[/C][C]1.11643[/C][C]1.14541[/C][/ROW]
[ROW][C]71[/C][C]3403[/C][C]3278.52[/C][C]3157.5[/C][C]1.03833[/C][C]1.03797[/C][/ROW]
[ROW][C]72[/C][C]1779[/C][C]2870.3[/C][C]3199.08[/C][C]0.897224[/C][C]0.619797[/C][/ROW]
[ROW][C]73[/C][C]2761[/C][C]3285.85[/C][C]3248.63[/C][C]1.01146[/C][C]0.840269[/C][/ROW]
[ROW][C]74[/C][C]2582[/C][C]2801.78[/C][C]3322.63[/C][C]0.843244[/C][C]0.921555[/C][/ROW]
[ROW][C]75[/C][C]3153[/C][C]3014.25[/C][C]3384[/C][C]0.890736[/C][C]1.04603[/C][/ROW]
[ROW][C]76[/C][C]3011[/C][C]3901.45[/C][C]3387.5[/C][C]1.15172[/C][C]0.771764[/C][/ROW]
[ROW][C]77[/C][C]3419[/C][C]3622.49[/C][C]3434.54[/C][C]1.05472[/C][C]0.943827[/C][/ROW]
[ROW][C]78[/C][C]4042[/C][C]3472.72[/C][C]3552.92[/C][C]0.977427[/C][C]1.16393[/C][/ROW]
[ROW][C]79[/C][C]4379[/C][C]3814.92[/C][C]3668.29[/C][C]1.03997[/C][C]1.14786[/C][/ROW]
[ROW][C]80[/C][C]4602[/C][C]3943.63[/C][C]3684.33[/C][C]1.07038[/C][C]1.16694[/C][/ROW]
[ROW][C]81[/C][C]3249[/C][C]3317.09[/C][C]3651.75[/C][C]0.908357[/C][C]0.979472[/C][/ROW]
[ROW][C]82[/C][C]4372[/C][C]4038.09[/C][C]3616.96[/C][C]1.11643[/C][C]1.08269[/C][/ROW]
[ROW][C]83[/C][C]4328[/C][C]3698.05[/C][C]3561.54[/C][C]1.03833[/C][C]1.17035[/C][/ROW]
[ROW][C]84[/C][C]3695[/C][C]3102.83[/C][C]3458.25[/C][C]0.897224[/C][C]1.19085[/C][/ROW]
[ROW][C]85[/C][C]3614[/C][C]3362.34[/C][C]3324.25[/C][C]1.01146[/C][C]1.07485[/C][/ROW]
[ROW][C]86[/C][C]2114[/C][C]2728.32[/C][C]3235.5[/C][C]0.843244[/C][C]0.774837[/C][/ROW]
[ROW][C]87[/C][C]2839[/C][C]2841.19[/C][C]3189.71[/C][C]0.890736[/C][C]0.99923[/C][/ROW]
[ROW][C]88[/C][C]2490[/C][C]3584.39[/C][C]3112.21[/C][C]1.15172[/C][C]0.694678[/C][/ROW]
[ROW][C]89[/C][C]2610[/C][C]3202.93[/C][C]3036.75[/C][C]1.05472[/C][C]0.81488[/C][/ROW]
[ROW][C]90[/C][C]2372[/C][C]2932.36[/C][C]3000.08[/C][C]0.977427[/C][C]0.808904[/C][/ROW]
[ROW][C]91[/C][C]2833[/C][C]3064.45[/C][C]2946.67[/C][C]1.03997[/C][C]0.924473[/C][/ROW]
[ROW][C]92[/C][C]4018[/C][C]3134.25[/C][C]2928.17[/C][C]1.07038[/C][C]1.28197[/C][/ROW]
[ROW][C]93[/C][C]2734[/C][C]2636.73[/C][C]2902.75[/C][C]0.908357[/C][C]1.03689[/C][/ROW]
[ROW][C]94[/C][C]3027[/C][C]3193.09[/C][C]2860.08[/C][C]1.11643[/C][C]0.947985[/C][/ROW]
[ROW][C]95[/C][C]3862[/C][C]2969.75[/C][C]2860.12[/C][C]1.03833[/C][C]1.30045[/C][/ROW]
[ROW][C]96[/C][C]3281[/C][C]2595.97[/C][C]2893.33[/C][C]0.897224[/C][C]1.26388[/C][/ROW]
[ROW][C]97[/C][C]2746[/C][C]3017.77[/C][C]2983.58[/C][C]1.01146[/C][C]0.909943[/C][/ROW]
[ROW][C]98[/C][C]2538[/C][C]2514.06[/C][C]2981.42[/C][C]0.843244[/C][C]1.00952[/C][/ROW]
[ROW][C]99[/C][C]1805[/C][C]2594.23[/C][C]2912.46[/C][C]0.890736[/C][C]0.695775[/C][/ROW]
[ROW][C]100[/C][C]2500[/C][C]3393.69[/C][C]2946.62[/C][C]1.15172[/C][C]0.736662[/C][/ROW]
[ROW][C]101[/C][C]2601[/C][C]3107.3[/C][C]2946.08[/C][C]1.05472[/C][C]0.837062[/C][/ROW]
[ROW][C]102[/C][C]3178[/C][C]2794.99[/C][C]2859.54[/C][C]0.977427[/C][C]1.13703[/C][/ROW]
[ROW][C]103[/C][C]4193[/C][C]2915.6[/C][C]2803.54[/C][C]1.03997[/C][C]1.43812[/C][/ROW]
[ROW][C]104[/C][C]2606[/C][C]3003.22[/C][C]2805.75[/C][C]1.07038[/C][C]0.867736[/C][/ROW]
[ROW][C]105[/C][C]2491[/C][C]2555.89[/C][C]2813.75[/C][C]0.908357[/C][C]0.974612[/C][/ROW]
[ROW][C]106[/C][C]4090[/C][C]3106.1[/C][C]2782.17[/C][C]1.11643[/C][C]1.31676[/C][/ROW]
[ROW][C]107[/C][C]2786[/C][C]2862.8[/C][C]2757.12[/C][C]1.03833[/C][C]0.973173[/C][/ROW]
[ROW][C]108[/C][C]2280[/C][C]2428.19[/C][C]2706.33[/C][C]0.897224[/C][C]0.938972[/C][/ROW]
[ROW][C]109[/C][C]2403[/C][C]2630.51[/C][C]2600.71[/C][C]1.01146[/C][C]0.913511[/C][/ROW]
[ROW][C]110[/C][C]2934[/C][C]2165.07[/C][C]2567.54[/C][C]0.843244[/C][C]1.35516[/C][/ROW]
[ROW][C]111[/C][C]1601[/C][C]2288.34[/C][C]2569.04[/C][C]0.890736[/C][C]0.699635[/C][/ROW]
[ROW][C]112[/C][C]1946[/C][C]2883.52[/C][C]2503.67[/C][C]1.15172[/C][C]0.674869[/C][/ROW]
[ROW][C]113[/C][C]2554[/C][C]2567.15[/C][C]2433.96[/C][C]1.05472[/C][C]0.994878[/C][/ROW]
[ROW][C]114[/C][C]2006[/C][C]2361.83[/C][C]2416.38[/C][C]0.977427[/C][C]0.849342[/C][/ROW]
[ROW][C]115[/C][C]2830[/C][C]2537.31[/C][C]2439.79[/C][C]1.03997[/C][C]1.11535[/C][/ROW]
[ROW][C]116[/C][C]3173[/C][C]2609.58[/C][C]2438[/C][C]1.07038[/C][C]1.2159[/C][/ROW]
[ROW][C]117[/C][C]1960[/C][C]2215.86[/C][C]2439.42[/C][C]0.908357[/C][C]0.884532[/C][/ROW]
[ROW][C]118[/C][C]3052[/C][C]2742.98[/C][C]2456.92[/C][C]1.11643[/C][C]1.11266[/C][/ROW]
[ROW][C]119[/C][C]2151[/C][C]2521.54[/C][C]2428.46[/C][C]1.03833[/C][C]0.853051[/C][/ROW]
[ROW][C]120[/C][C]2493[/C][C]NA[/C][C]NA[/C][C]0.897224[/C][C]NA[/C][/ROW]
[ROW][C]121[/C][C]2752[/C][C]NA[/C][C]NA[/C][C]1.01146[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]2542[/C][C]NA[/C][C]NA[/C][C]0.843244[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]2027[/C][C]NA[/C][C]NA[/C][C]0.890736[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]1940[/C][C]NA[/C][C]NA[/C][C]1.15172[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]1877[/C][C]NA[/C][C]NA[/C][C]1.05472[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
12312NANA1.01146NA
21089NANA0.843244NA
32742NANA0.890736NA
43145NANA1.15172NA
52966NANA1.05472NA
62055NANA0.977427NA
724502470.022375.081.039970.991896
827422626.982454.251.070381.04378
916972244.512470.960.9083570.756066
1024092761.262473.291.116430.872427
1122332581.592486.291.038330.864972
1221002253.272511.370.8972240.93198
1334342554.022525.081.011461.34455
1418672115.952509.290.8432440.882348
1523652296.092577.750.8907361.03001
1635783107.532698.171.151721.1514
1728452897.52747.171.054720.981882
1827782727.472790.460.9774271.01853
1920562956.032842.421.039970.695527
2027573172.512963.921.070380.869027
2133252835.13121.120.9083571.1728
2236713613.663236.791.116431.01587
2321473484.543355.921.038330.61615
2432253072.323424.250.8972241.0497
2535563493.243453.671.011461.01797
2646612943.243490.370.8432441.58363
2733443118.723501.290.8907361.07223
2853753989.753464.171.151721.3472
2939073666.343476.121.054721.06564
3033563392.363470.710.9774270.989281
3121843561.253424.371.039970.613268
3235103512.43281.461.070380.999315
3328342846.723133.920.9083570.995533
3432713339.32991.041.116430.979548
3528342975.242865.421.038330.952527
3624082563.332856.960.8972240.939402
3732612854.762822.421.011461.1423
3815262331.432764.830.8432440.654534
3929382461.772763.750.8907361.19345
4023523188.732768.671.151720.737598
4139152891.652741.621.054721.3539
4231452717.082779.830.9774271.15749
4315662899.962788.51.039970.540008
4427462949.792755.831.070380.930915
4535722514.412768.080.9083571.42061
4626513233.142895.961.116430.819946
4728053099.82985.381.038330.904898
4833542643.452946.250.8972241.2688
4925233072.263037.461.011460.821218
5014802642.383133.580.8432440.560102
5132782717.823051.210.8907361.20611
5250813417.252967.081.151721.48687
5333323181.443016.381.054721.04733
5427892960.6330290.9774270.942031
5541113117.662997.831.039971.31862
5625083310.463092.791.070380.757599
5718332870.793160.420.9083570.638501
5823713534.113165.541.116430.67089
5942683306.863184.791.038331.29065
6021942870.263199.040.8972240.764391
6129353249.693212.871.011460.903163
6233472729.833237.290.8432441.22608
6330342959.173322.170.8907361.02529
6454483986.153461.041.151721.36673
6534273691.393499.881.054720.928375
6630363368.743446.540.9774270.901227
6741963558.7834221.039971.17906
6830093620.963382.881.070380.830995
6933693048.413355.960.9083571.10517
7041683638.873259.381.116431.14541
7134033278.523157.51.038331.03797
7217792870.33199.080.8972240.619797
7327613285.853248.631.011460.840269
7425822801.783322.630.8432440.921555
7531533014.2533840.8907361.04603
7630113901.453387.51.151720.771764
7734193622.493434.541.054720.943827
7840423472.723552.920.9774271.16393
7943793814.923668.291.039971.14786
8046023943.633684.331.070381.16694
8132493317.093651.750.9083570.979472
8243724038.093616.961.116431.08269
8343283698.053561.541.038331.17035
8436953102.833458.250.8972241.19085
8536143362.343324.251.011461.07485
8621142728.323235.50.8432440.774837
8728392841.193189.710.8907360.99923
8824903584.393112.211.151720.694678
8926103202.933036.751.054720.81488
9023722932.363000.080.9774270.808904
9128333064.452946.671.039970.924473
9240183134.252928.171.070381.28197
9327342636.732902.750.9083571.03689
9430273193.092860.081.116430.947985
9538622969.752860.121.038331.30045
9632812595.972893.330.8972241.26388
9727463017.772983.581.011460.909943
9825382514.062981.420.8432441.00952
9918052594.232912.460.8907360.695775
10025003393.692946.621.151720.736662
10126013107.32946.081.054720.837062
10231782794.992859.540.9774271.13703
10341932915.62803.541.039971.43812
10426063003.222805.751.070380.867736
10524912555.892813.750.9083570.974612
10640903106.12782.171.116431.31676
10727862862.82757.121.038330.973173
10822802428.192706.330.8972240.938972
10924032630.512600.711.011460.913511
11029342165.072567.540.8432441.35516
11116012288.342569.040.8907360.699635
11219462883.522503.671.151720.674869
11325542567.152433.961.054720.994878
11420062361.832416.380.9774270.849342
11528302537.312439.791.039971.11535
11631732609.5824381.070381.2159
11719602215.862439.420.9083570.884532
11830522742.982456.921.116431.11266
11921512521.542428.461.038330.853051
1202493NANA0.897224NA
1212752NANA1.01146NA
1222542NANA0.843244NA
1232027NANA0.890736NA
1241940NANA1.15172NA
1251877NANA1.05472NA



Parameters (Session):
par1 = 200greygreygrey1251240201010101012additiveadditiveadditivemultiplicativemultiplicative200additivemultiplicative ; par2 = 5nonono11111111216121251212 ; par3 = 000000010 ; par4 = P1 P5 Q1 Q3 P95 P990000001P1 P5 Q1 Q3 P95 P99 ; par5 = 11111112 ; par6 = 0000030 ; par7 = 0000001 ; par8 = 0000000 ; par9 = 0000001 ; par10 = FALSEFALSEFALSETRUEFALSEFALSEFALSE ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')