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Report for Sheet1 |
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Created: 2/15/02 at 11:56:10 AM |
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Series: Monthly Income |
Series: Auto sales |
Summary: |
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Date |
Data |
Fitted |
Forecast |
Upper: 95% |
Lower: 5% |
Date |
Data |
Fitted |
Forecast |
Upper: 95% |
Lower: 5% |
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Number of series: 2 |
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1/31/91 |
4987.85 |
4849.37 |
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1/31/91 |
839.80 |
844.02 |
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Periods to forecast: 12 |
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2/28/91 |
4999.44 |
5219.79 |
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2/28/91 |
928.60 |
955.76 |
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Seasonality: 12 months |
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3/31/91 |
5012.27 |
5951.86 |
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3/31/91 |
1104.10 |
1131.11 |
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Error Measure: RMSE |
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4/30/91 |
5038.58 |
5771.66 |
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4/30/91 |
1060.90 |
1054.86 |
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5/31/91 |
5059.03 |
6244.69 |
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5/31/91 |
1174.30 |
1161.67 |
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Series:
Monthly Income |
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Range: C6:C137 |
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6/30/91 |
5094.57 |
6253.03 |
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6/30/91 |
1176.30 |
1182.79 |
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7/31/91 |
5089.81 |
6293.08 |
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7/31/91 |
1185.90 |
1058.68 |
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Method: Multiple Linear
Regression |
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8/31/91 |
5105.33 |
5784.59 |
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8/31/91 |
1064.00 |
1089.74 |
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9/30/91 |
5135.29 |
5781.25 |
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9/30/91 |
1063.20 |
1036.63 |
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Statistics:
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10/31/91 |
5135.36 |
5719.94 |
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10/31/91 |
1048.50 |
1082.60 |
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R-squared: 0.457 |
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11/30/91 |
5156.54 |
5237.31 |
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11/30/91 |
932.80 |
960.34 |
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Adjusted R-squared:
0.4533 |
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12/31/91 |
5210.22 |
5360.78 |
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12/31/91 |
962.40 |
1002.94 |
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SSE: 9.78E+7 |
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1/31/92 |
5241.12 |
4969.51 |
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1/31/92 |
868.60 |
872.39 |
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F Statistic: 109.61 |
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2/29/92 |
5284.49 |
5473.41 |
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2/29/92 |
989.40 |
987.91 |
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F Probability: 5.59E-19 |
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3/31/92 |
5304.77 |
6058.65 |
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3/31/92 |
1129.70 |
1177.03 |
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Durbin-Watson: 0.500 |
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4/30/92 |
5329.98 |
6127.06 |
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4/30/92 |
1146.10 |
1093.48 |
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No. of Values: 132 |
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5/31/92 |
5355.33 |
6229.67 |
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5/31/92 |
1170.70 |
1215.65 |
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Independent variables: 1
included out of 1 selected |
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6/30/92 |
5371.27 |
6759.85 |
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6/30/92 |
1297.80 |
1224.12 |
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7/31/92 |
5383.49 |
6180.45 |
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7/31/92 |
1158.90 |
1112.04 |
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Series Statistics: |
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8/31/92 |
5373.44 |
5792.93 |
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8/31/92 |
1066.00 |
1124.61 |
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Mean: 6718.74 |
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9/30/92 |
5415.21 |
5919.33 |
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9/30/92 |
1096.30 |
1062.75 |
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Std. Dev.: 1173.55 |
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10/31/92 |
5464.01 |
6072.41 |
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10/31/92 |
1133.00 |
1111.22 |
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Minimum: 4987.85 |
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11/30/92 |
5484.31 |
5473.83 |
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11/30/92 |
989.50 |
997.18 |
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Maximum: 8794.60 |
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12/31/92 |
5677.08 |
5816.71 |
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12/31/92 |
1071.70 |
1046.28 |
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Ljung-Box: 6958.1741 |
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1/31/93 |
5461.74 |
5167.65 |
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1/31/93 |
916.10 |
923.52 |
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2/28/93 |
5470.85 |
5422.52 |
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2/28/93 |
977.20 |
1044.76 |
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Forecast:
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3/31/93 |
5464.78 |
6478.70 |
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3/31/93 |
1230.40 |
1225.81 |
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4/30/93 |
5575.04 |
6664.33 |
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4/30/93 |
1274.90 |
1150.22 |
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Date |
Lower: 5% |
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Forecast |
Upper: 95% |
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5/31/93 |
5607.52 |
6949.65 |
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5/31/93 |
1343.30 |
1295.80 |
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1/31/02 |
5009.33 |
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6447.63 |
7885.92 |
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6/30/93 |
5603.23 |
7120.68 |
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6/30/93 |
1384.30 |
1326.74 |
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2/28/02 |
5674.27 |
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7123.63 |
8572.99 |
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7/31/93 |
5609.23 |
6633.88 |
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7/31/93 |
1267.60 |
1200.46 |
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3/31/02 |
6760.42 |
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8221.02 |
9681.61 |
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8/31/93 |
5640.14 |
6185.04 |
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8/31/93 |
1160.00 |
1217.48 |
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4/30/02 |
6313.96 |
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7785.97 |
9257.97 |
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9/30/93 |
5641.61 |
6209.24 |
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9/30/93 |
1165.80 |
1151.66 |
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5/31/02 |
6937.82 |
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8421.42 |
9905.01 |
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10/31/93 |
5668.98 |
6282.65 |
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10/31/93 |
1183.40 |
1198.69 |
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6/30/02 |
7029.47 |
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8524.85 |
10020.22 |
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11/30/93 |
5693.16 |
6109.54 |
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11/30/93 |
1141.90 |
1067.57 |
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7/31/02 |
6265.71 |
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7773.05 |
9280.38 |
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12/31/93 |
5883.35 |
6159.60 |
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12/31/93 |
1153.90 |
1139.71 |
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8/31/02 |
6259.65 |
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7779.13 |
9298.62 |
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1/31/94 |
5656.40 |
5711.18 |
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1/31/94 |
1046.40 |
1003.06 |
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9/30/02 |
5960.95 |
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7492.79 |
9024.63 |
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2/28/94 |
5725.42 |
6237.60 |
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2/28/94 |
1172.60 |
1147.72 |
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10/31/02 |
6177.67 |
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7722.07 |
9266.47 |
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3/31/94 |
5759.37 |
7495.26 |
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3/31/94 |
1474.10 |
1373.23 |
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11/30/02 |
5480.34 |
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7037.50 |
8594.67 |
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4/30/94 |
5832.13 |
6934.22 |
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4/30/94 |
1339.60 |
1308.73 |
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12/31/02 |
5753.17 |
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7323.31 |
8893.45 |
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5/31/94 |
5870.64 |
7117.34 |
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5/31/94 |
1383.50 |
1446.13 |
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6/30/94 |
5879.54 |
7523.63 |
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6/30/94 |
1480.90 |
1453.61 |
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7/31/94 |
5904.83 |
6436.99 |
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7/31/94 |
1220.40 |
1307.71 |
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8/31/94 |
5932.25 |
6895.84 |
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8/31/94 |
1330.40 |
1289.35 |
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9/30/94 |
5968.72 |
6572.98 |
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9/30/94 |
1253.00 |
1241.70 |
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10/31/94 |
6026.84 |
6739.00 |
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10/31/94 |
1292.80 |
1291.23 |
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11/30/94 |
6034.92 |
6347.31 |
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11/30/94 |
1198.90 |
1153.52 |
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12/31/94 |
6065.50 |
6436.16 |
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12/31/94 |
1220.20 |
1222.86 |
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1/31/95 |
6094.98 |
5649.02 |
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1/31/95 |
1031.50 |
1072.52 |
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2/28/95 |
6109.63 |
6058.65 |
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2/28/95 |
1129.70 |
1204.48 |
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3/31/95 |
6125.06 |
7200.35 |
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3/31/95 |
1403.40 |
1413.69 |
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4/30/95 |
6148.39 |
6418.22 |
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4/30/95 |
1215.90 |
1322.79 |
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5/31/95 |
6157.80 |
7300.88 |
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5/31/95 |
1427.50 |
1427.00 |
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6/30/95 |
6183.63 |
7508.20 |
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6/30/95 |
1477.20 |
1448.82 |
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7/31/95 |
6203.66 |
6582.57 |
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7/31/95 |
1255.30 |
1303.52 |
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8/31/95 |
6223.37 |
7041.42 |
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8/31/95 |
1365.30 |
1294.12 |
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9/30/95 |
6250.74 |
6411.96 |
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9/30/95 |
1214.40 |
1252.74 |
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10/31/95 |
6278.25 |
6459.93 |
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10/31/95 |
1225.90 |
1290.90 |
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11/30/95 |
6304.36 |
6222.17 |
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11/30/95 |
1168.90 |
1139.70 |
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12/31/95 |
6331.29 |
6362.74 |
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12/31/95 |
1202.60 |
1204.41 |
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1/31/96 |
6352.54 |
5728.69 |
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1/31/96 |
1050.60 |
1056.46 |
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2/29/96 |
6413.17 |
6510.41 |
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2/29/96 |
1238.00 |
1195.32 |
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3/31/96 |
6449.71 |
7204.10 |
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3/31/96 |
1404.30 |
1434.64 |
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4/30/96 |
6472.00 |
7016.39 |
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4/30/96 |
1359.30 |
1338.00 |
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Regression Variables: |
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5/31/96 |
6506.79 |
7698.83 |
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5/31/96 |
1522.90 |
1475.78 |
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6/30/96 |
6549.49 |
7204.10 |
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6/30/96 |
1404.30 |
1509.00 |
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Variable |
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Coefficient |
t Statistic |
Probability |
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7/31/96 |
6563.53 |
6840.78 |
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7/31/96 |
1317.20 |
1330.11 |
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Constant |
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1346.3 |
2.5956 |
0.01053 |
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8/31/96 |
6595.88 |
6908.77 |
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8/31/96 |
1333.50 |
1328.79 |
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Auto sales |
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4.1714 |
10.47 |
5.59E-19 |
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9/30/96 |
6631.93 |
6482.88 |
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9/30/96 |
1231.40 |
1271.25 |
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10/31/96 |
6643.37 |
6754.85 |
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10/31/96 |
1296.60 |
1309.65 |
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11/30/96 |
6676.45 |
6127.48 |
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11/30/96 |
1146.20 |
1167.01 |
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Series:
Auto sales |
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Range: B6:B137 |
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12/31/96 |
6713.82 |
6150.84 |
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12/31/96 |
1151.80 |
1221.03 |
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1/31/97 |
6754.80 |
5996.08 |
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1/31/97 |
1114.70 |
1057.53 |
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Method: Holt-Winters'
Multiplicative |
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2/28/97 |
6792.10 |
6257.21 |
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2/28/97 |
1177.30 |
1212.77 |
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Parameters:
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3/31/97 |
6830.40 |
7294.62 |
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3/31/97 |
1426.00 |
1434.11 |
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Alpha: 0.228 |
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4/30/97 |
6850.20 |
6812.00 |
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4/30/97 |
1310.30 |
1342.23 |
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Beta: 0.001 |
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5/31/97 |
6877.50 |
7335.50 |
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5/31/97 |
1435.80 |
1467.08 |
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Gamma: 0.001 |
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6/30/97 |
6909.50 |
6998.46 |
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6/30/97 |
1355.00 |
1481.92 |
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Error: 63.800 |
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7/31/97 |
6937.40 |
7088.56 |
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7/31/97 |
1376.60 |
1301.38 |
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8/31/97 |
6982.40 |
6969.67 |
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8/31/97 |
1348.10 |
1320.13 |
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Series Statistics: |
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9/30/97 |
7016.00 |
6512.49 |
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9/30/97 |
1238.50 |
1267.97 |
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Mean: 1287.94 |
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10/31/97 |
7058.00 |
6693.95 |
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10/31/97 |
1282.00 |
1308.68 |
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Std. Dev.: 190.28 |
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11/30/97 |
7103.10 |
6127.48 |
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11/30/97 |
1146.20 |
1163.33 |
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Minimum: 839.80 |
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12/31/97 |
7132.70 |
6718.14 |
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12/31/97 |
1287.80 |
1217.98 |
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Maximum: 1753.10 |
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1/31/98 |
7199.80 |
5700.75 |
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1/31/98 |
1043.90 |
1082.67 |
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Ljung-Box: 1180.3113 |
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2/28/98 |
7256.20 |
6238.43 |
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2/28/98 |
1172.80 |
1216.36 |
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3/31/98 |
7308.40 |
7207.02 |
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3/31/98 |
1405.00 |
1436.16 |
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Forecast:
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4/30/98 |
7340.80 |
7147.79 |
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4/30/98 |
1390.80 |
1339.18 |
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5/31/98 |
7385.70 |
7777.25 |
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5/31/98 |
1541.70 |
1484.58 |
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Date |
Lower: 5% |
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Forecast |
Upper: 95% |
|
6/30/98 |
7421.90 |
8047.13 |
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6/30/98 |
1606.40 |
1519.94 |
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|
1/31/02 |
1117.20 |
|
1222.95 |
1328.70 |
|
7/31/98 |
7456.70 |
6621.78 |
|
|
7/31/98 |
1264.70 |
1378.98 |
|
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|
2/28/02 |
1278.44 |
|
1385.01 |
1491.57 |
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8/31/98 |
7497.00 |
6622.62 |
|
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8/31/98 |
1264.90 |
1354.44 |
|
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|
3/31/02 |
1540.69 |
|
1648.08 |
1755.48 |
|
9/30/98 |
7518.30 |
6827.85 |
|
|
9/30/98 |
1314.10 |
1275.07 |
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|
4/30/02 |
1435.56 |
|
1543.79 |
1652.02 |
|
10/31/98 |
7548.70 |
7212.03 |
|
|
10/31/98 |
1406.20 |
1332.18 |
|
|
|
5/31/02 |
1587.04 |
|
1696.13 |
1805.21 |
|
11/30/98 |
7581.50 |
6251.78 |
|
|
11/30/98 |
1176.00 |
1204.71 |
|
|
|
6/30/02 |
1610.97 |
|
1720.92 |
1830.87 |
|
12/31/98 |
7597.20 |
7091.06 |
|
|
12/31/98 |
1377.20 |
1258.64 |
|
|
|
7/31/02 |
1429.86 |
|
1540.69 |
1651.52 |
|
1/31/99 |
7612.60 |
6027.78 |
|
|
1/31/99 |
1122.30 |
1127.91 |
|
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|
8/31/02 |
1430.43 |
|
1542.15 |
1653.88 |
|
2/28/99 |
7631.90 |
6876.23 |
|
|
2/28/99 |
1325.70 |
1276.03 |
|
|
|
9/30/02 |
1360.88 |
|
1473.51 |
1586.14 |
|
3/31/99 |
7649.70 |
7935.34 |
|
|
3/31/99 |
1579.60 |
1532.30 |
|
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|
10/31/02 |
1414.92 |
|
1528.47 |
1642.03 |
|
4/30/99 |
7683.80 |
7400.99 |
|
|
4/30/99 |
1451.50 |
1445.88 |
|
|
|
11/30/02 |
1249.87 |
|
1364.36 |
1478.85 |
|
5/31/99 |
7717.60 |
8156.84 |
|
|
5/31/99 |
1632.70 |
1590.11 |
|
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|
12/31/02 |
1317.43 |
|
1432.88 |
1548.32 |
|
6/30/99 |
7757.50 |
8237.35 |
|
|
6/30/99 |
1652.00 |
1623.49 |
|
|
|
|
|
7/31/99 |
7789.20 |
7724.69 |
|
|
7/31/99 |
1529.10 |
1459.57 |
|
|
|
|
|
8/31/99 |
7831.10 |
7702.58 |
|
|
8/31/99 |
1523.80 |
1476.84 |
|
|
|
|
|
|
9/30/99 |
7835.80 |
7363.45 |
|
|
9/30/99 |
1442.50 |
1421.63 |
|
|
|
|
|
10/31/99 |
7898.90 |
7172.40 |
|
|
10/31/99 |
1396.70 |
1479.70 |
|
|
|
|
|
11/30/99 |
7934.60 |
6840.78 |
|
|
11/30/99 |
1317.20 |
1304.22 |
|
|
|
|
|
12/31/99 |
7984.40 |
7355.11 |
|
|
12/31/99 |
1440.50 |
1373.06 |
|
|
|
|
|
1/31/00 |
8053.60 |
6515.00 |
|
|
1/31/00 |
1239.10 |
1217.81 |
|
|
|
|
|
2/29/00 |
8097.30 |
7766.82 |
|
|
2/29/00 |
1539.20 |
1384.64 |
|
|
|
|
|
3/31/00 |
8162.30 |
8492.63 |
|
|
3/31/00 |
1713.20 |
1689.74 |
|
|
|
|
|
4/30/00 |
8223.10 |
7766.40 |
|
|
4/30/00 |
1539.10 |
1588.03 |
|
|
|
|
|
5/31/00 |
8272.20 |
8290.74 |
|
|
5/31/00 |
1664.80 |
1732.41 |
|
|
|
|
|
6/30/00 |
8317.90 |
8283.23 |
|
|
6/30/00 |
1663.00 |
1742.18 |
|
|
|
|
|
7/31/00 |
8344.20 |
7472.74 |
|
|
7/31/00 |
1468.70 |
1543.74 |
|
|
|
|
|
8/31/00 |
8377.40 |
7946.60 |
|
|
8/31/00 |
1582.30 |
1527.98 |
|
|
|
|
|
9/30/00 |
8423.00 |
7629.58 |
|
|
9/30/00 |
1506.30 |
1471.98 |
|
|
|
|
|
10/31/00 |
8478.70 |
7051.85 |
|
|
10/31/00 |
1367.80 |
1534.91 |
|
|
|
|
|
11/30/00 |
8513.50 |
6611.77 |
|
|
11/30/00 |
1262.30 |
1336.38 |
|
|
|
|
|
12/31/00 |
8566.70 |
6648.48 |
|
|
12/31/00 |
1271.10 |
1385.99 |
|
|
|
|
|
1/31/01 |
8604.00 |
6334.38 |
|
|
1/31/01 |
1195.80 |
1192.67 |
|
|
|
|
|
2/28/01 |
8640.20 |
7108.16 |
|
|
2/28/01 |
1381.30 |
1351.58 |
|
|
|
|
|
3/31/01 |
8676.20 |
8136.82 |
|
|
3/31/01 |
1627.90 |
1616.48 |
|
|
|
|
|
4/30/01 |
8697.00 |
7091.06 |
|
|
4/30/01 |
1377.20 |
1516.82 |
|
|
|
|
|
5/31/01 |
8709.30 |
8166.85 |
|
|
5/31/01 |
1635.10 |
1631.54 |
|
|
|
Method
Errors: |
|
|
|
6/30/01 |
8737.60 |
8238.18 |
|
|
6/30/01 |
1652.20 |
1656.35 |
|
|
|
|
|
7/31/01 |
8768.50 |
7080.63 |
|
|
7/31/01 |
1374.70 |
1482.23 |
|
|
|
Method |
|
|
RMSE |
MAD |
MAPE |
|
8/31/01 |
8775.90 |
7512.78 |
|
|
8/31/01 |
1478.30 |
1459.16 |
|
|
|
Best: |
Holt-Winters'
Multiplicative |
|
63.8 |
47.386 |
3.61% |
|
9/30/01 |
8771.00 |
6821.59 |
|
|
9/30/01 |
1312.60 |
1398.59 |
|
|
|
2nd: |
Seasonal Multiplicative |
|
66.237 |
50.329 |
3.83% |
|
10/31/01 |
8761.40 |
8659.07 |
|
|
10/31/01 |
1753.10 |
1430.29 |
|
|
|
3rd: |
Holt-Winters' Additive |
|
69.381 |
52.092 |
4.09% |
|
11/30/01 |
8760.00 |
6969.26 |
|
|
11/30/01 |
1348.00 |
1342.68 |
|
|
|
4th: |
Seasonal Additive |
|
70.657 |
53.532 |
4.19% |
|
12/31/01 |
8794.60 |
6919.62 |
|
|
12/31/01 |
1336.10 |
1411.51 |
|
|
|
5th: |
Double Moving Average |
|
134.14 |
109.39 |
8.18% |
|
1/31/02 |
|
6447.63 |
7885.92 |
5009.33 |
1/31/02 |
|
1222.95 |
1328.70 |
1117.20 |
|
6th: |
Single Exponential
Smoothing |
|
136.1 |
109.38 |
8.43% |
|
2/28/02 |
|
7123.63 |
8572.99 |
5674.27 |
2/28/02 |
|
1385.01 |
1491.57 |
1278.44 |
|
7th: |
Single Moving Average |
|
136.62 |
110.76 |
8.31% |
|
3/31/02 |
|
8221.02 |
9681.61 |
6760.42 |
3/31/02 |
|
1648.08 |
1755.48 |
1540.69 |
|
8th: |
Double Exponential
Smoothing |
|
137.59 |
111.41 |
8.68% |
|
4/30/02 |
|
7785.97 |
9257.97 |
6313.96 |
4/30/02 |
|
1543.79 |
1652.02 |
1435.56 |
|
|
|
5/31/02 |
|
8421.42 |
9905.01 |
6937.82 |
5/31/02 |
|
1696.13 |
1805.21 |
1587.04 |
|
|
|
6/30/02 |
|
8524.85 |
10020.22 |
7029.47 |
6/30/02 |
|
1720.92 |
1830.87 |
1610.97 |
|
Method Statistics: |
|
|
|
7/31/02 |
|
7773.05 |
9280.38 |
6265.71 |
7/31/02 |
|
1540.69 |
1651.52 |
1429.86 |
|
|
|
8/31/02 |
|
7779.13 |
9298.62 |
6259.65 |
8/31/02 |
|
1542.15 |
1653.88 |
1430.43 |
|
Method |
|
|
Durbin-Watson |
Theil's U |
|
9/30/02 |
|
7492.79 |
9024.63 |
5960.95 |
9/30/02 |
|
1473.51 |
1586.14 |
1360.88 |
|
Best: |
Holt-Winters'
Multiplicative |
|
2.019 |
0.429 |
|
10/31/02 |
|
7722.07 |
9266.47 |
6177.67 |
10/31/02 |
|
1528.47 |
1642.03 |
1414.92 |
|
2nd: |
Seasonal Multiplicative |
|
2.001 |
0.449 |
|
11/30/02 |
|
7037.50 |
8594.67 |
5480.34 |
11/30/02 |
|
1364.36 |
1478.85 |
1249.87 |
|
3rd: |
Holt-Winters' Additive |
|
1.993 |
0.458 |
|
12/31/02 |
|
|
7323.31 |
8893.45 |
5753.17 |
12/31/02 |
|
|
1432.88 |
1548.32 |
1317.43 |
|
4th: |
Seasonal Additive |
|
2.011 |
0.468 |
|
|
5th: |
Double Moving Average |
|
1.516 |
0.867 |
|
|
6th: |
Single Exponential
Smoothing |
|
2.014 |
0.943 |
|
|
7th: |
Single Moving Average |
|
1.295 |
0.9 |
|
|
8th: |
Double Exponential
Smoothing |
|
2.025 |
0.942 |
|
|
|
|
|
|
|
|
Method Parameters: |
|
|
|
|
|
|
|
Method |
|
|
Parameter |
Value |
|
|
Best: |
Holt-Winters'
Multiplicative |
|
Alpha |
0.228 |
|
|
|
Beta |
0.001 |
|
|
|
Gamma |
0.001 |
|
|
2nd: |
Seasonal Multiplicative |
|
Alpha |
0.287 |
|
|
|
Gamma |
0.001 |
|
|
3rd: |
Holt-Winters' Additive |
|
Alpha |
0.291 |
|
|
|
Beta |
0.001 |
|
|
|
Gamma |
0.001 |
|
|
4th: |
Seasonal Additive |
|
Alpha |
0.335 |
|
|
|
Gamma |
0.001 |
|
|
5th: |
Double Moving Average |
|
Periods |
14 |
|
|
6th: |
Single Exponential
Smoothing |
|
Alpha |
0.609 |
|
|
7th: |
Single Moving Average |
|
Periods |
14 |
|
|
8th: |
Double Exponential
Smoothing |
|
Alpha |
0.627 |
|
|
|
|
|
Beta |
0.014 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|