| Multiple Linear Regression - Estimated Regression Equation |
| BEL_20[t] = + 623.189281438361 -0.0829840213057002Nikkei[t] + 0.265839363241114DJ_Indust[t] + 0.132169504408610Goudprijs[t] -13.1225855069165Conjunct_Seizoenzuiver[t] + 6.30504688723916Cons_vertrouw[t] -96.5668153338558Alg_consumptie_index_BE[t] + 146.912916190512Gem_rente_kasbon_1j[t] -38.0890581388965t + 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) | 623.189281438361 | 412.103204 | 1.5122 | 0.137967 | 0.068984 |
| Nikkei | -0.0829840213057002 | 0.01802 | -4.605 | 3.8e-05 | 1.9e-05 |
| DJ_Indust | 0.265839363241114 | 0.029041 | 9.1538 | 0 | 0 |
| Goudprijs | 0.132169504408610 | 0.039368 | 3.3573 | 0.001681 | 0.000841 |
| Conjunct_Seizoenzuiver | -13.1225855069165 | 7.195252 | -1.8238 | 0.075306 | 0.037653 |
| Cons_vertrouw | 6.30504688723916 | 4.62649 | 1.3628 | 0.180204 | 0.090102 |
| Alg_consumptie_index_BE | -96.5668153338558 | 34.504521 | -2.7987 | 0.007716 | 0.003858 |
| Gem_rente_kasbon_1j | 146.912916190512 | 57.895144 | 2.5376 | 0.014963 | 0.007481 |
| t | -38.0890581388965 | 3.739189 | -10.1864 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.981850693082498 |
| R-squared | 0.964030783506582 |
| Adjusted R-squared | 0.957179504174502 |
| F-TEST (value) | 140.708141761599 |
| F-TEST (DF numerator) | 8 |
| F-TEST (DF denominator) | 42 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 89.244763913917 |
| Sum Squared Residuals | 334514.371214133 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 3484.74 | 3398.88362648317 | 85.8563735168272 |
| 2 | 3411.13 | 3350.60804077742 | 60.5219592225808 |
| 3 | 3288.18 | 3333.78998188425 | -45.609981884249 |
| 4 | 3280.37 | 3262.66064665118 | 17.7093533488226 |
| 5 | 3173.95 | 3355.17365881682 | -181.223658816820 |
| 6 | 3165.26 | 3145.28282411202 | 19.9771758879848 |
| 7 | 3092.71 | 3183.99061319034 | -91.2806131903363 |
| 8 | 3053.05 | 3098.7399979097 | -45.6899979096969 |
| 9 | 3181.96 | 3034.9259252443 | 147.034074755697 |
| 10 | 2999.93 | 3090.61660765886 | -90.6866076588616 |
| 11 | 3249.57 | 3059.58597261872 | 189.984027381280 |
| 12 | 3210.52 | 3090.26975014272 | 120.250249857276 |
| 13 | 3030.29 | 3062.75125238686 | -32.4612523868644 |
| 14 | 2803.47 | 2881.64436346083 | -78.1743634608296 |
| 15 | 2767.63 | 2746.99327657409 | 20.6367234259085 |
| 16 | 2882.6 | 2856.97567784456 | 25.6243221554399 |
| 17 | 2863.36 | 3051.99945440042 | -188.639454400418 |
| 18 | 2897.06 | 2963.5094753543 | -66.4494753542997 |
| 19 | 3012.61 | 2947.10050200769 | 65.5094979923125 |
| 20 | 3142.95 | 3126.6372758342 | 16.3127241658018 |
| 21 | 3032.93 | 3040.17992052018 | -7.24992052017943 |
| 22 | 3045.78 | 3022.27905263790 | 23.5009473620975 |
| 23 | 3110.52 | 3067.00371838154 | 43.5162816184595 |
| 24 | 3013.24 | 3053.80418161965 | -40.564181619646 |
| 25 | 2987.1 | 2988.24224979404 | -1.14224979404267 |
| 26 | 2995.55 | 3001.00016312287 | -5.45016312286636 |
| 27 | 2833.18 | 2851.06729829201 | -17.8872982920094 |
| 28 | 2848.96 | 2788.07523590685 | 60.8847640931478 |
| 29 | 2794.83 | 2861.07581437834 | -66.2458143783382 |
| 30 | 2845.26 | 3001.61193750129 | -156.351937501293 |
| 31 | 2915.02 | 2958.71293227000 | -43.6929322700043 |
| 32 | 2892.63 | 2865.19645504366 | 27.4335449563381 |
| 33 | 2604.42 | 2632.64244626349 | -28.2224462634878 |
| 34 | 2641.65 | 2562.38950740884 | 79.260492591162 |
| 35 | 2659.81 | 2630.68239361239 | 29.1276063876141 |
| 36 | 2638.53 | 2681.71771730455 | -43.1877173045495 |
| 37 | 2720.25 | 2625.50871373891 | 94.7412862610935 |
| 38 | 2745.88 | 2766.48891100244 | -20.6089110024444 |
| 39 | 2735.7 | 2733.32559676584 | 2.37440323415940 |
| 40 | 2811.7 | 2701.7225280674 | 109.977471932601 |
| 41 | 2799.43 | 2649.06185162075 | 150.368148379246 |
| 42 | 2555.28 | 2529.49512565271 | 25.7848743472864 |
| 43 | 2304.98 | 2174.81502799308 | 130.164972006921 |
| 44 | 2214.95 | 2176.28711181467 | 38.6628881853331 |
| 45 | 2065.81 | 2048.38384461464 | 17.4261553853613 |
| 46 | 1940.49 | 2029.32362410187 | -88.8336241018684 |
| 47 | 2042 | 2133.7607444843 | -91.7607444843025 |
| 48 | 1995.37 | 2047.39602214434 | -52.0260221443377 |
| 49 | 1946.81 | 2046.50916225015 | -99.6991622501483 |
| 50 | 1765.9 | 1743.50952226729 | 22.3904777327094 |
| 51 | 1635.25 | 1677.14226607157 | -41.8922660715677 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 12 | 0.871827040003008 | 0.256345919993984 | 0.128172959996992 |
| 13 | 0.795357544249061 | 0.409284911501877 | 0.204642455750939 |
| 14 | 0.842298420441598 | 0.315403159116804 | 0.157701579558402 |
| 15 | 0.849617741887723 | 0.300764516224554 | 0.150382258112277 |
| 16 | 0.785629767982804 | 0.428740464034391 | 0.214370232017196 |
| 17 | 0.844368393956662 | 0.311263212086677 | 0.155631606043338 |
| 18 | 0.821382080873025 | 0.357235838253951 | 0.178617919126975 |
| 19 | 0.858105772684601 | 0.283788454630798 | 0.141894227315399 |
| 20 | 0.856197613852305 | 0.28760477229539 | 0.143802386147695 |
| 21 | 0.809177738742812 | 0.381644522514376 | 0.190822261257188 |
| 22 | 0.813647797400158 | 0.372704405199684 | 0.186352202599842 |
| 23 | 0.770166746730189 | 0.459666506539622 | 0.229833253269811 |
| 24 | 0.7051387219687 | 0.5897225560626 | 0.2948612780313 |
| 25 | 0.617283049264262 | 0.765433901471475 | 0.382716950735738 |
| 26 | 0.518662659728251 | 0.962674680543498 | 0.481337340271749 |
| 27 | 0.461573451283702 | 0.923146902567405 | 0.538426548716298 |
| 28 | 0.378268864588856 | 0.756537729177712 | 0.621731135411144 |
| 29 | 0.337119073868308 | 0.674238147736616 | 0.662880926131692 |
| 30 | 0.860606205319787 | 0.278787589360425 | 0.139393794680213 |
| 31 | 0.957610029964452 | 0.0847799400710962 | 0.0423899700355481 |
| 32 | 0.935477820158575 | 0.129044359682850 | 0.0645221798414249 |
| 33 | 0.924670451324092 | 0.150659097351815 | 0.0753295486759075 |
| 34 | 0.886069000749422 | 0.227861998501156 | 0.113930999250578 |
| 35 | 0.818383865526791 | 0.363232268946418 | 0.181616134473209 |
| 36 | 0.938605981953897 | 0.122788036092206 | 0.0613940180461028 |
| 37 | 0.883860481162872 | 0.232279037674256 | 0.116139518837128 |
| 38 | 0.846297481779944 | 0.307405036440112 | 0.153702518220056 |
| 39 | 0.958974134460182 | 0.0820517310796369 | 0.0410258655398184 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 0 | 0 | OK |
| 5% type I error level | 0 | 0 | OK |
| 10% type I error level | 2 | 0.0714285714285714 | OK |
