| TESTING 'New Mexico' ED DATA FOR AUTOCORRELATION |
| FORECASTING MODEL: Using PRE-TRANSITION Trend-Cycle Component data points with TIME as predictor |
| INTERPRETING DIAGNOSTIC GRAPHS: **RES: (Residuals over time) If the data are independent, residuals should look randomly scattered about 0. If a noticeable pattern emerges (particularly one that is cyclical) then dependency is likely an issue. **FITPLOT: (Predicted and actual values over time) Potential patterns in the residuals can also be seen on this plot **ACF: (ACF versus the lag) If you see large ACF values and a non-random pattern, then likely the values are serially correlated. **PACF: (PACF versus the lag) The pattern will usually appear random, but large PACF values at a given non-zero lag indicate this value as a possible choice for the order of an autoregressive model. |
| Dependent Variable | TCC_PRE |
|---|
| TESTING 'New Mexico' ED DATA FOR AUTOCORRELATION |
| FORECASTING MODEL: Using PRE-TRANSITION Trend-Cycle Component data points with TIME as predictor |
| Durbin-Watson Test and Graphical Diagnostics |
| Ordinary Least Squares Estimates | |||
|---|---|---|---|
| SSE | 19840.689 | DFE | 61 |
| MSE | 325.25720 | Root MSE | 18.03489 |
| SBC | 549.470914 | AIC | 545.184644 |
| MAE | 15.0240922 | AICC | 545.384644 |
| MAPE | 3.40945714 | HQC | 546.870455 |
| Regress R-Square | 0.0687 | ||
| Total R-Square | 0.0687 | ||
| Durbin-Watson Statistics | |||
|---|---|---|---|
| Order | DW | Pr < DW | Pr > DW |
| 1 | 0.0643 | <.0001 | 1.0000 |
| 2 | 0.2385 | <.0001 | 1.0000 |
| 3 | 0.5034 | <.0001 | 1.0000 |
| 4 | 0.8349 | <.0001 | 1.0000 |
| 5 | 1.1931 | 0.0016 | 0.9984 |
| 6 | 1.5513 | 0.1011 | 0.8989 |
| 7 | 1.8928 | 0.5957 | 0.4043 |
| 8 | 2.1830 | 0.9384 | 0.0616 |
| 9 | 2.4053 | 0.9952 | 0.0048 |
| 10 | 2.5600 | 0.9997 | 0.0003 |
| 11 | 2.6250 | 0.9999 | <.0001 |
| 12 | 2.5978 | 0.9999 | <.0001 |
| NOTE: Pr<DW is the p-value for testing positive autocorrelation, and Pr>DW is the p-value for testing negative autocorrelation. |
| Parameter Estimates | |||||
|---|---|---|---|---|---|
| Variable | DF | Estimate | Standard Error |
t Value | Approx Pr > |t| |
| Intercept | 1 | 449.5099 | 5.3769 | 83.60 | <.0001 |
| TIME | 1 | -0.2651 | 0.1250 | -2.12 | 0.0379 |