Question

Audit Trail - Statistics Accuracy Measures Value Forecast Statistics Value AIC 309.51 Durbin Watson(4) 1.01 BIC...

Audit Trail - Statistics

Accuracy Measures Value Forecast Statistics Value
AIC 309.51 Durbin Watson(4) 1.01
BIC 313.82 Mean 61.54
Mean Absolute Percentage Error (MAPE) 3.11 % Standard Deviation 12.70
R-Square 95.64 % Variance 161.41
Adjusted R-Square 95.57 % Ljung-Box 58.17
Root Mean Square Error 2.63
Theil 0.29
Method Statistics Value
Method Selected Decomposition
Basic Method Trend (Linear) Regression
Decomposition Type Multiplicative

Components of Decomposition

Date Original
Data
Forecasted
Data
Centered
Moving Average
CMA
Trend
Seasonal
Indices
Cycle
Factors
Sep-1998 56.60 0.90
Oct-1998 49.10 1.09
Nov-1998 58.50 58.93 55.21 62.51 1.07 0.88
Dec-1998 57.50 54.10 57.63 62.45 0.94 0.92
Jan-1999 54.90 55.26 61.16 62.40 0.90 0.98
Feb-1999 70.10 66.69 61.16 62.35 1.09 0.98
Mar-1999 65.80 64.10 60.05 62.29 1.07 0.96
Apr-1999 50.20 55.93 59.58 62.24 0.94 0.96
May-1999 53.30 53.27 58.96 62.19 0.90 0.95
Jun-1999 67.90 64.62 59.26 62.13 1.09 0.95
Jul-1999 63.10 65.27 61.15 62.08 1.07 0.99
Aug-1999 55.30 60.18 64.10 62.03 0.94 1.03
Sep-1999 63.30 61.55 68.13 61.97 0.90 1.10
Oct-1999 81.50 78.71 72.19 61.92 1.09 1.17
Nov-1999 81.70 79.51 74.49 61.87 1.07 1.20
Dec-1999 69.20 70.60 75.20 61.82 0.94 1.22
Jan-2000 67.80 67.77 75.01 61.76 0.90 1.21
Feb-2000 82.70 81.01 74.30 61.71 1.09 1.20
Mar-2000 79.00 78.17 73.24 61.66 1.07 1.19
Apr-2000 66.20 67.71 72.13 61.60 0.94 1.17
May-2000 62.30 64.50 71.39 61.55 0.90 1.16
Jun-2000 79.30 77.40 70.99 61.50 1.09 1.15
Jul-2000 76.50 75.12 70.38 61.44 1.07 1.15
Aug-2000 65.50 64.11 68.29 61.39 0.94 1.11
Sep-2000 58.10 58.80 65.09 61.34 0.90 1.06
Oct-2000 66.80 67.90 62.28 61.28 1.09 1.02
Nov-2000 63.40 64.39 60.33 61.23 1.07 0.99
Dec-2000 56.10 56.10 59.05 61.18 0.94 0.97

Consider the time series decomposition output for Mobile Home Sales above. This decomposition model

Multiple Choice

  • explained about 3% of the variation in mobile home shipments.

  • explained about 0.27% of the variation in mobile home shipments.

  • None of the options are correct.

  • explained about 96% of the variation in mobile home shipments.

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Answer #1

Since R-square = 95.64% , so

This decomposition model explain about 96% of the variation in mobile home shipments.

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