| Multiple Linear Regression - Estimated Regression Equation |
| Y[t] = + 98.3519097222222 -7.36510416666666X[t] + 4.69468625992064M1[t] -20.2410838293651M2[t] -11.9911396329365M3[t] -4.34119543650794M4[t] -12.8055369543651M5[t] -9.6413070436508M6[t] + 3.99435143849206M7[t] -0.569990079365075M8[t] -3.4057601686508M9[t] -24.2498883928571M10[t] -8.71661086309524M11[t] + 0.0500558035714289t + e[t] |
| Multiple Linear Regression - Ordinary Least Squares | |||||
| Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
| (Intercept) | 98.3519097222222 | 3.219354 | 30.5502 | 0 | 0 |
| X | -7.36510416666666 | 1.918055 | -3.8399 | 0.000276 | 0.000138 |
| M1 | 4.69468625992064 | 2.682411 | 1.7502 | 0.084666 | 0.042333 |
| M2 | -20.2410838293651 | 2.681282 | -7.549 | 0 | 0 |
| M3 | -11.9911396329365 | 2.680471 | -4.4735 | 3.1e-05 | 1.5e-05 |
| M4 | -4.34119543650794 | 2.67998 | -1.6199 | 0.10996 | 0.05498 |
| M5 | -12.8055369543651 | 2.679809 | -4.7785 | 1e-05 | 5e-06 |
| M6 | -9.6413070436508 | 2.679958 | -3.5976 | 0.00061 | 0.000305 |
| M7 | 3.99435143849206 | 2.680427 | 1.4902 | 0.140867 | 0.070433 |
| M8 | -0.569990079365075 | 2.681215 | -0.2126 | 0.832295 | 0.416147 |
| M9 | -3.4057601686508 | 2.682322 | -1.2697 | 0.208582 | 0.104291 |
| M10 | -24.2498883928571 | 2.781336 | -8.7188 | 0 | 0 |
| M11 | -8.71661086309524 | 2.780874 | -3.1345 | 0.002555 | 0.001278 |
| t | 0.0500558035714289 | 0.029275 | 1.7099 | 0.091917 | 0.045958 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.904758360115568 |
| R-squared | 0.818587690199012 |
| Adjusted R-squared | 0.78338828680479 |
| F-TEST (value) | 23.2557262698775 |
| F-TEST (DF numerator) | 13 |
| F-TEST (DF denominator) | 67 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 4.81634859434812 |
| Sum Squared Residuals | 1554.2133234127 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 88.2 | 95.7315476190477 | -7.53154761904765 |
| 2 | 73.4 | 70.8458333333334 | 2.55416666666663 |
| 3 | 81.3 | 79.1458333333334 | 2.15416666666664 |
| 4 | 89.4 | 86.8458333333333 | 2.55416666666666 |
| 5 | 80.7 | 78.4315476190476 | 2.26845238095237 |
| 6 | 80.1 | 81.6458333333333 | -1.54583333333332 |
| 7 | 100.8 | 95.3315476190476 | 5.4684523809524 |
| 8 | 97 | 90.8172619047619 | 6.18273809523812 |
| 9 | 93.6 | 88.0315476190476 | 5.56845238095239 |
| 10 | 67.1 | 67.2374751984127 | -0.137475198412703 |
| 11 | 88.7 | 82.820808531746 | 5.87919146825399 |
| 12 | 89.1 | 91.5874751984127 | -2.48747519841271 |
| 13 | 98.7 | 96.3322172619047 | 2.36778273809525 |
| 14 | 76 | 71.4465029761905 | 4.55349702380954 |
| 15 | 81.6 | 79.7465029761905 | 1.85349702380953 |
| 16 | 92.9 | 87.4465029761905 | 5.45349702380954 |
| 17 | 84.8 | 79.0322172619047 | 5.76778273809524 |
| 18 | 79.4 | 82.2465029761905 | -2.84650297619047 |
| 19 | 100.3 | 95.9322172619048 | 4.36778273809524 |
| 20 | 90.7 | 91.417931547619 | -0.717931547619043 |
| 21 | 84.2 | 88.6322172619048 | -4.43221726190476 |
| 22 | 69.9 | 67.8381448412698 | 2.06185515873017 |
| 23 | 85.3 | 83.4214781746032 | 1.87852182539682 |
| 24 | 81.5 | 92.1881448412698 | -10.6881448412698 |
| 25 | 92.4 | 96.9328869047619 | -4.53288690476189 |
| 26 | 71.2 | 72.0471726190476 | -0.847172619047602 |
| 27 | 74.5 | 80.3471726190476 | -5.84717261904761 |
| 28 | 86.4 | 88.0471726190476 | -1.64717261904761 |
| 29 | 73.6 | 79.6328869047619 | -6.0328869047619 |
| 30 | 80.1 | 82.8471726190476 | -2.74717261904762 |
| 31 | 91 | 96.5328869047619 | -5.53288690476191 |
| 32 | 87.3 | 92.0186011904762 | -4.7186011904762 |
| 33 | 78.8 | 89.2328869047619 | -10.4328869047619 |
| 34 | 72.4 | 68.438814484127 | 3.96118551587302 |
| 35 | 83.1 | 84.0221478174603 | -0.922147817460325 |
| 36 | 90 | 92.788814484127 | -2.78881448412699 |
| 37 | 99.8 | 97.533556547619 | 2.26644345238095 |
| 38 | 73.1 | 72.6478422619048 | 0.452157738095243 |
| 39 | 80.8 | 80.9478422619048 | -0.147842261904760 |
| 40 | 92 | 88.6478422619048 | 3.35215773809524 |
| 41 | 75.1 | 80.233556547619 | -5.13355654761905 |
| 42 | 84.2 | 83.4478422619048 | 0.752157738095237 |
| 43 | 99.6 | 97.133556547619 | 2.46644345238094 |
| 44 | 89.5 | 92.6192708333333 | -3.11927083333334 |
| 45 | 87.8 | 89.833556547619 | -2.03355654761905 |
| 46 | 70.5 | 69.0394841269841 | 1.46051587301587 |
| 47 | 80.7 | 84.6228174603175 | -3.92281746031746 |
| 48 | 94.1 | 93.3894841269841 | 0.710515873015865 |
| 49 | 97.2 | 98.1342261904762 | -0.934226190476187 |
| 50 | 66.5 | 73.2485119047619 | -6.7485119047619 |
| 51 | 81.4 | 81.5485119047619 | -0.148511904761898 |
| 52 | 82.5 | 89.2485119047619 | -6.74851190476191 |
| 53 | 76.1 | 80.8342261904762 | -4.7342261904762 |
| 54 | 88 | 84.0485119047619 | 3.95148809523809 |
| 55 | 90 | 97.7342261904762 | -7.7342261904762 |
| 56 | 94.3 | 93.2199404761905 | 1.08005952380951 |
| 57 | 96.4 | 90.4342261904762 | 5.96577380952381 |
| 58 | 68 | 69.6401537698413 | -1.64015376984128 |
| 59 | 82.1 | 85.2234871031746 | -3.12348710317462 |
| 60 | 103 | 93.9901537698413 | 9.00984623015872 |
| 61 | 109.7 | 98.7348958333333 | 10.9651041666667 |
| 62 | 75.1 | 73.849181547619 | 1.25081845238095 |
| 63 | 88 | 82.149181547619 | 5.85081845238095 |
| 64 | 86.4 | 89.849181547619 | -3.44918154761905 |
| 65 | 84.4 | 81.4348958333333 | 2.96510416666666 |
| 66 | 91.1 | 84.649181547619 | 6.45081845238094 |
| 67 | 96.4 | 98.3348958333333 | -1.93489583333334 |
| 68 | 94.9 | 93.8206101190476 | 1.07938988095237 |
| 69 | 94.1 | 91.0348958333333 | 3.06510416666665 |
| 70 | 71.9 | 77.605927579365 | -5.70592757936507 |
| 71 | 93.4 | 93.1892609126984 | 0.210739087301597 |
| 72 | 108.2 | 101.955927579365 | 6.24407242063493 |
| 73 | 104.1 | 106.700669642857 | -2.60066964285713 |
| 74 | 80.6 | 81.8149553571428 | -1.21495535714285 |
| 75 | 86.4 | 90.1149553571428 | -3.71495535714284 |
| 76 | 98.3 | 97.8149553571428 | 0.485044642857148 |
| 77 | 94.3 | 89.400669642857 | 4.89933035714287 |
| 78 | 88.6 | 92.6149553571428 | -4.01495535714286 |
| 79 | 109.2 | 106.300669642857 | 2.89933035714287 |
| 80 | 102 | 101.786383928571 | 0.213616071428576 |
| 81 | 101.3 | 99.0006696428571 | 2.29933035714286 |
