| | | *The author of this computation has been verified* | | R Software Module: /rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Tue, 07 Dec 2010 14:21:30 +0000 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx.htm/, Retrieved Tue, 07 Dec 2010 15:19:56 +0100 | | | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx.htm/},
year = {2010},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2010},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 1145,11
1176,86
1206,41
1192,72
1214,82
1199,07
1157,47
1100,1
1095,63
1105,63
1137,79
1124,72
1152,6
1211,85
1239,62
1244,13
1198,42
1227,99
1304,92
1340,26
1307,32
1356,51
1383,29
1437,87
1494,56
1521,42
1498,76
1488,75
1524,62
1439,27
1423,11
1466,85
1425,83
1363,45
1389,18
1395,89
1368,43
1349,03
1299,88
1365,41
1451,04
1433,75
1464,65
1475,57
1471,16
1429,12
1452,46
1538,09
1631,59
1665,5
1690,6
1711,74
1734,1
1748,09
1703,45
1745,74
1751,01
1795,65
1852,13
1877,1
1989,31
2097,76
2154,87
2152,18
2250,27
2346,9
2525,56
2409,36
2394,36
2401,33
2354,32
2450,41
2504,67
2661,39
2880,4
3064,42
3141,12
3327,7
3564,95
3403,13
3149,9
3006,84
3230,66
3361,13
3484,74
3411,13
3288,18
3280,37
3173,95
3165,26
3092,71
3053,05
3181,96
2999,93
3249,57
3210,52
3030,29
2803,47
2767,63
2882,6
2863,36
2897,06
3012,61
3142,95
3032,93
3045,78
3110,52
3013,24
2987,1
2995,55
2833,18
2848,96
2794,83
2845,26
2915,02
2 etc... | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 1145.11 | NA | NA | 9.13965686274509 | NA | | 2 | 1176.86 | NA | NA | 9.49977941176475 | NA | | 3 | 1206.41 | NA | NA | -22.5539215686275 | NA | | 4 | 1192.72 | NA | NA | 48.7108333333335 | NA | | 5 | 1214.82 | NA | NA | 52.4086029411764 | NA | | 6 | 1199.07 | NA | NA | 20.0159803921569 | NA | | 7 | 1157.47 | 1175.82311274510 | 1155.00625 | 20.8168627450981 | -18.3531127450979 | | 8 | 1100.1 | 1163.99892156863 | 1156.77625 | 7.22267156862735 | -63.8989215686274 | | 9 | 1095.63 | 1137.83051470588 | 1159.61791666667 | -21.7874019607844 | -42.2005147058824 | | 10 | 1105.63 | 1097.72178921569 | 1163.14375 | -65.4219607843137 | 7.90821078431395 | | 11 | 1137.79 | 1127.13044117647 | 1164.6025 | -37.4720588235294 | 10.6595588235293 | | 12 | 1124.72 | 1144.54512254902 | 1165.12416666667 | -20.5790441176471 | -19.8251225490196 | | 13 | 1152.6 | 1181.61257352941 | 1172.47291666667 | 9.13965686274509 | -29.0125735294118 | | 14 | 1211.85 | 1198.12311274510 | 1188.62333333333 | 9.49977941176475 | 13.7268872549016 | | 15 | 1239.62 | 1184.89649509804 | 1207.45041666667 | -22.5539215686275 | 54.7235049019607 | | 16 | 1244.13 | 1275.435 | 1226.72416666667 | 48.7108333333335 | -31.3049999999998 | | 17 | 1198.42 | 1299.81526960784 | 1247.40666666667 | 52.4086029411764 | -101.395269607843 | | 18 | 1227.99 | 1290.69973039216 | 1270.68375 | 20.0159803921569 | -62.7097303921566 | | 19 | 1304.92 | 1318.79686274510 | 1297.98 | 20.8168627450981 | -13.8768627450979 | | 20 | 1340.26 | 1332.34975490196 | 1325.12708333333 | 7.22267156862735 | 7.91024509803924 | | 21 | 1307.32 | 1327.03593137255 | 1348.82333333333 | -21.7874019607844 | -19.715931372549 | | 22 | 1356.51 | 1304.39137254902 | 1369.81333333333 | -65.4219607843137 | 52.1186274509805 | | 23 | 1383.29 | 1356.12544117647 | 1393.5975 | -37.4720588235294 | 27.1645588235294 | | 24 | 1437.87 | 1395.41345588235 | 1415.9925 | -20.5790441176471 | 42.4565441176471 | | 25 | 1494.56 | 1438.86007352941 | 1429.72041666667 | 9.13965686274509 | 55.6999264705883 | | 26 | 1521.42 | 1449.41936274510 | 1439.91958333333 | 9.49977941176475 | 72.0006372549021 | | 27 | 1498.76 | 1427.57816176471 | 1450.13208333333 | -22.5539215686275 | 71.1818382352942 | | 28 | 1488.75 | 1504.07 | 1455.35916666667 | 48.7108333333335 | -15.3199999999999 | | 29 | 1524.62 | 1508.30235294118 | 1455.89375 | 52.4086029411764 | 16.3176470588235 | | 30 | 1439.27 | 1474.40598039216 | 1454.39 | 20.0159803921569 | -35.1359803921569 | | 31 | 1423.11 | 1468.20227941176 | 1447.38541666667 | 20.8168627450981 | -45.0922794117648 | | 32 | 1466.85 | 1442.16975490196 | 1434.94708333333 | 7.22267156862735 | 24.6802450980392 | | 33 | 1425.83 | 1397.69009803922 | 1419.4775 | -21.7874019607844 | 28.1399019607843 | | 34 | 1363.45 | 1340.62970588235 | 1406.05166666667 | -65.4219607843137 | 22.8202941176469 | | 35 | 1389.18 | 1360.37460784314 | 1397.84666666667 | -37.4720588235294 | 28.8053921568628 | | 36 | 1395.89 | 1373.97178921569 | 1394.55083333333 | -20.5790441176471 | 21.9182107843139 | | 37 | 1368.43 | 1405.19132352941 | 1396.05166666667 | 9.13965686274509 | -36.7613235294118 | | 38 | 1349.03 | 1407.64561274510 | 1398.14583333333 | 9.49977941176475 | -58.6156127450984 | | 39 | 1299.88 | 1377.84399509804 | 1400.39791666667 | -22.5539215686275 | -77.9639950980395 | | 40 | 1365.41 | 1453.73375 | 1405.02291666667 | 48.7108333333335 | -88.3237500000002 | | 41 | 1451.04 | 1462.80443627451 | 1410.39583333333 | 52.4086029411764 | -11.7644362745098 | | 42 | 1433.75 | 1438.97348039216 | 1418.9575 | 20.0159803921569 | -5.22348039215672 | | 43 | 1464.65 | 1456.66436274510 | 1435.8475 | 20.8168627450981 | 7.98563725490249 | | 44 | 1475.57 | 1467.22142156863 | 1459.99875 | 7.22267156862735 | 8.34857843137274 | | 45 | 1471.16 | 1467.67759803922 | 1489.465 | -21.7874019607844 | 3.4824019607845 | | 46 | 1429.12 | 1454.75345588235 | 1520.17541666667 | -65.4219607843137 | -25.6334558823532 | | 47 | 1452.46 | 1508.92794117647 | 1546.4 | -37.4720588235294 | -56.4679411764705 | | 48 | 1538.09 | 1550.71262254902 | 1571.29166666667 | -20.5790441176471 | -12.6226225490193 | | 49 | 1631.59 | 1603.47882352941 | 1594.33916666667 | 9.13965686274509 | 28.1111764705884 | | 50 | 1665.5 | 1625.04602941176 | 1615.54625 | 9.49977941176475 | 40.4539705882355 | | 51 | 1690.6 | 1615.90982843137 | 1638.46375 | -22.5539215686275 | 74.6901715686272 | | 52 | 1711.74 | 1714.10708333333 | 1665.39625 | 48.7108333333335 | -2.36708333333377 | | 53 | 1734.1 | 1749.72985294118 | 1697.32125 | 52.4086029411764 | -15.6298529411768 | | 54 | 1748.09 | 1748.11556372549 | 1728.09958333333 | 20.0159803921569 | -0.025563725490656 | | 55 | 1703.45 | 1777.94686274510 | 1757.13 | 20.8168627450981 | -74.4968627450976 | | 56 | 1745.74 | 1797.26850490196 | 1790.04583333333 | 7.22267156862735 | -51.5285049019603 | | 57 | 1751.01 | 1805.61384803922 | 1827.40125 | -21.7874019607844 | -54.6038480392156 | | 58 | 1795.65 | 1799.67553921569 | 1865.0975 | -65.4219607843137 | -4.02553921568574 | | 59 | 1852.13 | 1867.48419117647 | 1904.95625 | -37.4720588235294 | -15.3541911764705 | | 60 | 1877.1 | 1930.83470588235 | 1951.41375 | -20.5790441176471 | -53.734705882353 | | 61 | 1989.31 | 2019.75840686275 | 2010.61875 | 9.13965686274509 | -30.4484068627453 | | 62 | 2097.76 | 2082.02394607843 | 2072.52416666667 | 9.49977941176475 | 15.7360539215688 | | 63 | 2154.87 | 2104.42732843137 | 2126.98125 | -22.5539215686275 | 50.4426715686277 | | 64 | 2152.18 | 2227.735 | 2179.02416666667 | 48.7108333333335 | -75.5550000000003 | | 65 | 2250.27 | 2277.59401960784 | 2225.18541666667 | 52.4086029411764 | -27.3240196078432 | | 66 | 2346.9 | 2290.01389705882 | 2269.99791666667 | 20.0159803921569 | 56.8861029411764 | | 67 | 2525.56 | 2336.17602941177 | 2315.35916666667 | 20.8168627450981 | 189.383970588235 | | 68 | 2409.36 | 2367.53975490196 | 2360.31708333333 | 7.22267156862735 | 41.8202450980393 | | 69 | 2394.36 | 2392.24468137255 | 2414.03208333333 | -21.7874019607844 | 2.11531862745096 | | 70 | 2401.33 | 2416.85053921569 | 2482.2725 | -65.4219607843137 | -15.5205392156863 | | 71 | 2354.32 | 2519.92919117647 | 2557.40125 | -37.4720588235294 | -165.609191176470 | | 72 | 2450.41 | 2614.80762254902 | 2635.38666666667 | -20.5790441176471 | -164.397622549020 | | 73 | 2504.67 | 2728.70090686275 | 2719.56125 | 9.13965686274509 | -224.030906862745 | | 74 | 2661.39 | 2813.77602941176 | 2804.27625 | 9.49977941176475 | -152.386029411764 | | 75 | 2880.4 | 2854.61024509804 | 2877.16416666667 | -22.5539215686275 | 25.7897549019617 | | 76 | 3064.42 | 2982.58541666667 | 2933.87458333333 | 48.7108333333335 | 81.8345833333337 | | 77 | 3141.12 | 3048.02693627451 | 2995.61833333333 | 52.4086029411764 | 93.09306372549 | | 78 | 3327.7 | 3090.09514705882 | 3070.07916666667 | 20.0159803921569 | 237.604852941177 | | 79 | 3564.95 | 3169.67894607843 | 3148.86208333333 | 20.8168627450981 | 395.271053921569 | | 80 | 3403.13 | 3228.16017156863 | 3220.9375 | 7.22267156862735 | 174.969828431372 | | 81 | 3149.9 | 3247.38009803922 | 3269.1675 | -21.7874019607844 | -97.480098039216 | | 82 | 3006.84 | 3229.73428921569 | 3295.15625 | -65.4219607843137 | -222.894289215686 | | 83 | 3230.66 | 3268.05002450980 | 3305.52208333333 | -37.4720588235294 | -37.3900245098039 | | 84 | 3361.13 | 3279.54262254902 | 3300.12166666667 | -20.5790441176471 | 81.58737745098 | | 85 | 3484.74 | 3282.81632352941 | 3273.67666666667 | 9.13965686274509 | 201.923676470588 | | 86 | 3411.13 | 3248.9131127451 | 3239.41333333333 | 9.49977941176475 | 162.216887254902 | | 87 | 3288.18 | 3203.60857843137 | 3226.1625 | -22.5539215686275 | 84.5714215686276 | | 88 | 3280.37 | 3275.92125 | 3227.21041666667 | 48.7108333333335 | 4.44875000000002 | | 89 | 3173.95 | 3280.11901960784 | 3227.71041666667 | 52.4086029411764 | -106.169019607843 | | 90 | 3165.26 | 3242.23889705882 | 3222.22291666667 | 20.0159803921569 | -76.9788970588233 | | 91 | 3092.71 | 3217.82894607843 | 3197.01208333333 | 20.8168627450981 | -125.118946078431 | | 92 | 3053.05 | 3159.98017156863 | 3152.7575 | 7.22267156862735 | -106.930171568627 | | 93 | 3181.96 | 3083.96134803922 | 3105.74875 | -21.7874019607844 | 97.9986519607846 | | 94 | 2999.93 | 3002.06345588235 | 3067.48541666667 | -65.4219607843137 | -2.13345588235234 | | 95 | 3249.57 | 3000.49835784314 | 3037.97041666667 | -37.4720588235294 | 249.071642156864 | | 96 | 3210.52 | 2993.27512254902 | 3013.85416666667 | -20.5790441176471 | 217.244877450980 | | 97 | 3030.29 | 3008.48132352941 | 2999.34166666667 | 9.13965686274509 | 21.8086764705881 | | 98 | 2803.47 | 3009.24977941177 | 2999.75 | 9.49977941176475 | -205.779779411766 | | 99 | 2767.63 | 2974.73232843137 | 2997.28625 | -22.5539215686275 | -207.102328431372 | | 100 | 2882.6 | 3041.69791666667 | 2992.98708333333 | 48.7108333333335 | -159.097916666667 | | 101 | 2863.36 | 3041.51235294118 | 2989.10375 | 52.4086029411764 | -178.152352941176 | | 102 | 2897.06 | 2995.10598039216 | 2975.09 | 20.0159803921569 | -98.0459803921563 | | 103 | 3012.61 | 2985.88727941176 | 2965.07041666667 | 20.8168627450981 | 26.7227205882355 | | 104 | 3142.95 | 2978.49683823529 | 2971.27416666667 | 7.22267156862735 | 164.453161764706 | | 105 | 3032.93 | 2960.22134803922 | 2982.00875 | -21.7874019607844 | 72.7086519607842 | | 106 | 3045.78 | 2917.91637254902 | 2983.33833333333 | -65.4219607843137 | 127.863627450981 | | 107 | 3110.52 | 2941.60919117647 | 2979.08125 | -37.4720588235294 | 168.910808823530 | | 108 | 3013.24 | 2953.48845588235 | 2974.0675 | -20.5790441176471 | 59.751544117647 | | 109 | 2987.1 | 2976.98257352941 | 2967.84291666667 | 9.13965686274509 | 10.1174264705883 | | 110 | 2995.55 | 2962.84644607843 | 2953.34666666667 | 9.49977941176475 | 32.7035539215681 | | 111 | 2833.18 | 2902.50816176471 | 2925.06208333333 | -22.5539215686275 | -69.3281617647058 | | 112 | 2848.96 | 2939.07958333333 | 2890.36875 | 48.7108333333335 | -90.1195833333336 | | 113 | 2794.83 | 2907.15901960784 | 2854.75041666667 | 52.4086029411764 | -112.329019607844 | | 114 | 2845.26 | 2840.37389705882 | 2820.35791666667 | 20.0159803921569 | 4.88610294117643 | | 115 | 2915.02 | 2814.4431127451 | 2793.62625 | 20.8168627450981 | 100.576887254902 | | 116 | 2892.63 | 2779.32725490196 | 2772.10458333333 | 7.22267156862735 | 113.302745098039 | | 117 | 2604.42 | 2735.85259803922 | 2757.64 | -21.7874019607844 | -131.432598039216 | | 118 | 2641.65 | 2686.60387254902 | 2752.02583333333 | -65.4219607843137 | -44.9538725490197 | | 119 | 2659.81 | 2713.19294117647 | 2750.665 | -37.4720588235294 | -53.3829411764709 | | 120 | 2638.53 | 2718.19512254902 | 2738.77416666667 | -20.5790441176471 | -79.6651225490195 | | 121 | 2720.25 | 2710.41299019608 | 2701.27333333333 | 9.13965686274509 | 9.83700980392223 | | 122 | 2745.88 | 2657.1181127451 | 2647.61833333333 | 9.49977941176475 | 88.7618872549024 | | 123 | 2735.7 | 2574.38566176471 | 2596.93958333333 | -22.5539215686275 | 161.314338235295 | | 124 | 2811.7 | 2593.99333333333 | 2545.2825 | 48.7108333333335 | 217.706666666667 | | 125 | 2799.43 | 2542.73401960784 | 2490.32541666667 | 52.4086029411764 | 256.695980392157 | | 126 | 2555.28 | 2457.80098039216 | 2437.785 | 20.0159803921569 | 97.4790196078434 | | 127 | 2304.98 | 2399.5768627451 | 2378.76 | 20.8168627450981 | -94.5968627450984 | | 128 | 2214.95 | 2312.92350490196 | 2305.70083333333 | 7.22267156862735 | -97.9735049019614 | | 129 | 2065.81 | 2197.22884803922 | 2219.01625 | -21.7874019607844 | -131.418848039216 | | 130 | 1940.49 | 2066.98053921569 | 2132.4025 | -65.4219607843137 | -126.490539215686 | | 131 | 2042 | 2017.12710784314 | 2054.59916666667 | -37.4720588235294 | 24.8728921568631 | | 132 | 1995.37 | 1972.16137254902 | 1992.74041666667 | -20.5790441176471 | 23.2086274509804 | | 133 | 1946.81 | 1963.08882352941 | 1953.94916666667 | 9.13965686274509 | -16.2788235294117 | | 134 | 1765.9 | 1943.07727941176 | 1933.5775 | 9.49977941176475 | -177.177279411765 | | 135 | 1635.25 | 1905.77899509804 | 1928.33291666667 | -22.5539215686275 | -270.528995098039 | | 136 | 1833.42 | 1985.71291666667 | 1937.00208333333 | 48.7108333333335 | -152.292916666667 | | 137 | 1910.43 | 2002.45026960784 | 1950.04166666667 | 52.4086029411764 | -92.0202696078427 | | 138 | 1959.67 | 1983.97056372549 | 1963.95458333333 | 20.0159803921569 | -24.3005637254901 | | 139 | 1969.6 | 2009.97894607843 | 1989.16208333333 | 20.8168627450981 | -40.378946078431 | | 140 | 2061.41 | 2041.30058823529 | 2034.07791666667 | 7.22267156862735 | 20.109411764706 | | 141 | 2093.48 | 2072.61301470588 | 2094.40041666667 | -21.7874019607844 | 20.8669852941180 | | 142 | 2120.88 | 2087.84428921569 | 2153.26625 | -65.4219607843137 | 33.0357107843142 | | 143 | 2174.56 | 2163.15085784314 | 2200.62291666667 | -37.4720588235294 | 11.4091421568628 | | 144 | 2196.72 | 2221.38220588235 | 2241.96125 | -20.5790441176471 | -24.6622058823523 | | 145 | 2350.44 | 2291.65924019608 | 2282.51958333333 | 9.13965686274509 | 58.7807598039217 | | 146 | 2440.25 | 2330.1393627451 | 2320.63958333333 | 9.49977941176475 | 110.110637254902 | | 147 | 2408.64 | 2339.27691176471 | 2361.83083333333 | -22.5539215686275 | 69.3630882352941 | | 148 | 2472.81 | 2460.04333333333 | 2411.3325 | 48.7108333333335 | 12.7666666666669 | | 149 | 2407.6 | 2518.34901960784 | 2465.94041666667 | 52.4086029411764 | -110.749019607843 | | 150 | 2454.62 | 2544.26598039216 | 2524.25 | 20.0159803921569 | -89.6459803921575 | | 151 | 2448.05 | 2601.57227941176 | 2580.75541666667 | 20.8168627450981 | -153.522279411764 | | 152 | 2497.84 | 2640.96725490196 | 2633.74458333333 | 7.22267156862735 | -143.127254901961 | | 153 | 2645.64 | 2667.70343137255 | 2689.49083333333 | -21.7874019607844 | -22.0634313725491 | | 154 | 2756.76 | 2680.07220588235 | 2745.49416666667 | -65.4219607843137 | 76.6877941176472 | | 155 | 2849.27 | 2762.19544117647 | 2799.6675 | -37.4720588235294 | 87.07455882353 | | 156 | 2921.44 | 2833.10303921569 | 2853.68208333333 | -20.5790441176471 | 88.3369607843147 | | 157 | 2981.85 | 2919.33549019608 | 2910.19583333333 | 9.13965686274509 | 62.514509803922 | | 158 | 3080.58 | 2981.06894607843 | 2971.56916666667 | 9.49977941176475 | 99.5110539215689 | | 159 | 3106.22 | 3006.96066176471 | 3029.51458333333 | -22.5539215686275 | 99.2593382352939 | | 160 | 3119.31 | 3126.9725 | 3078.26166666667 | 48.7108333333335 | -7.66249999999991 | | 161 | 3061.26 | 3174.55693627451 | 3122.14833333333 | 52.4086029411764 | -113.296936274510 | | 162 | 3097.31 | 3187.47473039216 | 3167.45875 | 20.0159803921569 | -90.1647303921568 | | 163 | 3161.69 | 3240.68852941177 | 3219.87166666667 | 20.8168627450981 | -78.998529411765 | | 164 | 3257.16 | 3286.16350490196 | 3278.94083333333 | 7.22267156862735 | -29.0035049019607 | | 165 | 3277.01 | 3321.49593137255 | 3343.28333333333 | -21.7874019607844 | -44.4859313725487 | | 166 | 3295.32 | 3344.02553921569 | 3409.4475 | -65.4219607843137 | -48.7055392156858 | | 167 | 3363.99 | 3435.14210784314 | 3472.61416666667 | -37.4720588235294 | -71.152107843137 | | 168 | 3494.17 | 3502.56053921569 | 3523.13958333333 | -20.5790441176471 | -8.3905392156862 | | 169 | 3667.03 | 3574.47632352941 | 3565.33666666667 | 9.13965686274509 | 92.5536764705885 | | 170 | 3813.06 | 3622.54602941176 | 3613.04625 | 9.49977941176475 | 190.513970588235 | | 171 | 3917.96 | 3644.58399509804 | 3667.13791666667 | -22.5539215686275 | 273.376004901961 | | 172 | 3895.51 | 3779.86083333333 | 3731.15 | 48.7108333333335 | 115.649166666667 | | 173 | 3801.06 | 3853.51526960784 | 3801.10666666667 | 52.4086029411764 | -52.4552696078431 | | 174 | 3570.12 | 3889.14264705882 | 3869.12666666667 | 20.0159803921569 | -319.022647058824 | | 175 | 3701.61 | 3955.51019607843 | 3934.69333333333 | 20.8168627450981 | -253.900196078432 | | 176 | 3862.27 | 4003.01850490196 | 3995.79583333333 | 7.22267156862735 | -140.748504901961 | | 177 | 3970.1 | 4021.03343137255 | 4042.82083333333 | -21.7874019607844 | -50.9334313725494 | | 178 | 4138.52 | 4024.68137254902 | 4090.10333333333 | -65.4219607843137 | 113.838627450980 | | 179 | 4199.75 | 4118.95044117647 | 4156.4225 | -37.4720588235294 | 80.7995588235299 | | 180 | 4290.89 | 4216.97595588235 | 4237.555 | -20.5790441176471 | 73.9140441176478 | | 181 | 4443.91 | 4326.38257352941 | 4317.24291666667 | 9.13965686274509 | 117.527426470589 | | 182 | 4502.64 | 4376.8043627451 | 4367.30458333333 | 9.49977941176475 | 125.835637254903 | | 183 | 4356.98 | 4372.52732843137 | 4395.08125 | -22.5539215686275 | -15.547328431373 | | 184 | 4591.27 | 4469.75458333333 | 4421.04375 | 48.7108333333335 | 121.515416666667 | | 185 | 4696.96 | 4481.87485294118 | 4429.46625 | 52.4086029411764 | 215.085147058824 | | 186 | 4621.4 | 4438.28306372549 | 4418.26708333333 | 20.0159803921569 | 183.116936274509 | | 187 | 4562.84 | 4406.8493627451 | 4386.0325 | 20.8168627450981 | 155.990637254903 | | 188 | 4202.52 | 4335.71017156863 | 4328.4875 | 7.22267156862735 | -133.190171568627 | | 189 | 4296.49 | 4245.69009803922 | 4267.4775 | -21.7874019607844 | 50.7999019607842 | | 190 | 4435.23 | 4143.04595588235 | 4208.46791666667 | -65.4219607843137 | 292.184044117645 | | 191 | 4105.18 | 4103.09794117647 | 4140.57 | -37.4720588235294 | 2.08205882352922 | | 192 | 4116.68 | 4036.11887254902 | 4056.69791666667 | -20.5790441176471 | 80.5611274509802 | | 193 | 3844.49 | 3955.53465686275 | 3946.395 | 9.13965686274509 | -111.044656862746 | | 194 | 3720.98 | 3843.9893627451 | 3834.48958333333 | 9.49977941176475 | -123.009362745098 | | 195 | 3674.4 | 3708.20066176471 | 3730.75458333333 | -22.5539215686275 | -33.8006617647056 | | 196 | 3857.62 | 3630.65041666667 | 3581.93958333333 | 48.7108333333335 | 226.969583333334 | | 197 | 3801.06 | 3454.00901960784 | 3401.60041666667 | 52.4086029411764 | 347.050980392157 | | 198 | 3504.37 | 3240.59223039216 | 3220.57625 | 20.0159803921569 | 263.777769607844 | | 199 | 3032.6 | 3066.68769607843 | 3045.87083333333 | 20.8168627450981 | -34.0876960784312 | | 200 | 3047.03 | 2892.71558823529 | 2885.49291666667 | 7.22267156862735 | 154.314411764706 | | 201 | 2962.34 | 2700.60884803922 | 2722.39625 | -21.7874019607844 | 261.731151960785 | | 202 | 2197.82 | 2490.41137254902 | 2555.83333333333 | -65.4219607843137 | -292.591372549020 | | 203 | 2014.45 | 2362.43544117647 | 2399.9075 | -37.4720588235294 | -347.985441176470 | | 204 | 1862.83 | 2245.00303921569 | 2265.58208333333 | -20.5790441176471 | -382.173039215686 | | 205 | 1905.41 | 2173.19924019608 | 2164.05958333333 | 9.13965686274509 | -267.789240196078 | | 206 | 1810.99 | 2102.08477941176 | 2092.585 | 9.49977941176475 | -291.094779411765 | | 207 | 1670.07 | 2017.00232843137 | 2039.55625 | -22.5539215686275 | -346.932328431373 | | 208 | 1864.44 | 2079.77875 | 2031.06791666667 | 48.7108333333335 | -215.33875 | | 209 | 2052.02 | 2115.46901960784 | 2063.06041666667 | 52.4086029411764 | -63.4490196078427 | | 210 | 2029.6 | 2128.58889705882 | 2108.57291666667 | 20.0159803921569 | -98.9888970588231 | | 211 | 2070.83 | NA | NA | 20.8168627450981 | NA | | 212 | 2293.41 | NA | NA | 7.22267156862735 | NA | | 213 | 2443.27 | NA | NA | -21.7874019607844 | NA | | 214 | 2513.17 | NA | NA | -65.4219607843137 | NA | | 215 | 2466.92 | NA | NA | -37.4720588235294 | NA | | 216 | 2502.66 | NA | NA | -20.5790441176471 | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/1zppw1291731685.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/1zppw1291731685.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/2zppw1291731685.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/2zppw1291731685.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/3sg6h1291731685.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/3sg6h1291731685.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/4sg6h1291731685.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/07/t129173159672pfbwpqwntq0lx/4sg6h1291731685.ps (open in new window) |
| | | | Parameters (Session): | | par1 = additive ; par2 = 12 ; | | | | 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
| | |
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