| Multiple Linear Regression - Estimated Regression Equation |
| Y(Export_farma_prod)[t] = + 611.496551724142 + 1678.78366805608`X(sprong)`[t] + 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) | 611.496551724142 | 74.319942 | 8.2279 | 0 | 0 |
| `X(sprong)` | 1678.78366805608 | 85.344451 | 19.6707 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.875389579068774 |
| R-squared | 0.766306915142206 |
| Adjusted R-squared | 0.76432646527053 |
| F-TEST (value) | 386.935779643651 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 118 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 400.225137425860 |
| Sum Squared Residuals | 18901258.9540508 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 423.4 | 611.49655172413 | -188.096551724130 |
| 2 | 404.1 | 611.496551724125 | -207.396551724125 |
| 3 | 500 | 611.496551724139 | -111.496551724139 |
| 4 | 472.6 | 611.496551724139 | -138.896551724139 |
| 5 | 496.1 | 611.496551724139 | -115.396551724139 |
| 6 | 562 | 611.496551724139 | -49.4965517241387 |
| 7 | 434.8 | 611.496551724139 | -176.696551724139 |
| 8 | 538.2 | 611.496551724139 | -73.2965517241387 |
| 9 | 577.6 | 611.496551724139 | -33.8965517241386 |
| 10 | 518.1 | 611.496551724139 | -93.3965517241386 |
| 11 | 625.2 | 611.496551724139 | 13.7034482758613 |
| 12 | 561.2 | 611.496551724139 | -50.2965517241387 |
| 13 | 523.3 | 611.496551724139 | -88.1965517241387 |
| 14 | 536.1 | 611.496551724139 | -75.3965517241386 |
| 15 | 607.3 | 611.496551724139 | -4.19655172413875 |
| 16 | 637.3 | 611.496551724139 | 25.8034482758613 |
| 17 | 606.9 | 611.496551724139 | -4.59655172413884 |
| 18 | 652.9 | 611.496551724139 | 41.4034482758612 |
| 19 | 617.2 | 611.496551724139 | 5.70344827586134 |
| 20 | 670.4 | 611.496551724139 | 58.9034482758612 |
| 21 | 729.9 | 611.496551724139 | 118.403448275861 |
| 22 | 677.2 | 611.496551724139 | 65.7034482758613 |
| 23 | 710 | 611.496551724139 | 98.5034482758613 |
| 24 | 844.3 | 611.496551724139 | 232.803448275861 |
| 25 | 748.2 | 611.496551724139 | 136.703448275861 |
| 26 | 653.9 | 611.496551724139 | 42.4034482758612 |
| 27 | 742.6 | 611.496551724139 | 131.103448275861 |
| 28 | 854.2 | 611.496551724139 | 242.703448275861 |
| 29 | 808.4 | 611.496551724139 | 196.903448275861 |
| 30 | 1819 | 2290.28021978022 | -471.28021978022 |
| 31 | 1936.5 | 2290.28021978022 | -353.78021978022 |
| 32 | 1966.1 | 2290.28021978022 | -324.18021978022 |
| 33 | 2083.1 | 2290.28021978022 | -207.18021978022 |
| 34 | 1620.1 | 2290.28021978022 | -670.18021978022 |
| 35 | 1527.6 | 2290.28021978022 | -762.68021978022 |
| 36 | 1795 | 2290.28021978022 | -495.28021978022 |
| 37 | 1685.1 | 2290.28021978022 | -605.18021978022 |
| 38 | 1851.8 | 2290.28021978022 | -438.48021978022 |
| 39 | 2164.4 | 2290.28021978022 | -125.880219780220 |
| 40 | 1981.8 | 2290.28021978022 | -308.48021978022 |
| 41 | 1726.5 | 2290.28021978022 | -563.78021978022 |
| 42 | 2144.6 | 2290.28021978022 | -145.68021978022 |
| 43 | 1758.2 | 2290.28021978022 | -532.08021978022 |
| 44 | 1672.9 | 2290.28021978022 | -617.38021978022 |
| 45 | 1837.3 | 2290.28021978022 | -452.98021978022 |
| 46 | 1596.1 | 2290.28021978022 | -694.18021978022 |
| 47 | 1446 | 2290.28021978022 | -844.28021978022 |
| 48 | 1898.4 | 2290.28021978022 | -391.88021978022 |
| 49 | 1964.1 | 2290.28021978022 | -326.18021978022 |
| 50 | 1755.9 | 2290.28021978022 | -534.38021978022 |
| 51 | 2255.3 | 2290.28021978022 | -34.9802197802196 |
| 52 | 1881.2 | 2290.28021978022 | -409.08021978022 |
| 53 | 2117.9 | 2290.28021978022 | -172.380219780220 |
| 54 | 1656.5 | 2290.28021978022 | -633.78021978022 |
| 55 | 1544.1 | 2290.28021978022 | -746.18021978022 |
| 56 | 2098.9 | 2290.28021978022 | -191.380219780220 |
| 57 | 2133.3 | 2290.28021978022 | -156.980219780220 |
| 58 | 1963.5 | 2290.28021978022 | -326.78021978022 |
| 59 | 1801.2 | 2290.28021978022 | -489.08021978022 |
| 60 | 2365.4 | 2290.28021978022 | 75.1197802197803 |
| 61 | 1936.5 | 2290.28021978022 | -353.78021978022 |
| 62 | 1667.6 | 2290.28021978022 | -622.68021978022 |
| 63 | 1983.5 | 2290.28021978022 | -306.78021978022 |
| 64 | 2058.6 | 2290.28021978022 | -231.680219780220 |
| 65 | 2448.3 | 2290.28021978022 | 158.019780219780 |
| 66 | 1858.1 | 2290.28021978022 | -432.18021978022 |
| 67 | 1625.4 | 2290.28021978022 | -664.88021978022 |
| 68 | 2130.6 | 2290.28021978022 | -159.68021978022 |
| 69 | 2515.7 | 2290.28021978022 | 225.41978021978 |
| 70 | 2230.2 | 2290.28021978022 | -60.08021978022 |
| 71 | 2086.9 | 2290.28021978022 | -203.380219780220 |
| 72 | 2235 | 2290.28021978022 | -55.2802197802198 |
| 73 | 2100.2 | 2290.28021978022 | -190.08021978022 |
| 74 | 2288.6 | 2290.28021978022 | -1.68021978021987 |
| 75 | 2490 | 2290.28021978022 | 199.719780219780 |
| 76 | 2573.7 | 2290.28021978022 | 283.41978021978 |
| 77 | 2543.8 | 2290.28021978022 | 253.519780219780 |
| 78 | 2004.7 | 2290.28021978022 | -285.58021978022 |
| 79 | 2390 | 2290.28021978022 | 99.7197802197802 |
| 80 | 2338.4 | 2290.28021978022 | 48.1197802197803 |
| 81 | 2724.5 | 2290.28021978022 | 434.21978021978 |
| 82 | 2292.5 | 2290.28021978022 | 2.21978021978022 |
| 83 | 2386 | 2290.28021978022 | 95.7197802197802 |
| 84 | 2477.9 | 2290.28021978022 | 187.619780219780 |
| 85 | 2337 | 2290.28021978022 | 46.7197802197802 |
| 86 | 2605.1 | 2290.28021978022 | 314.81978021978 |
| 87 | 2560.8 | 2290.28021978022 | 270.519780219780 |
| 88 | 2839.3 | 2290.28021978022 | 549.01978021978 |
| 89 | 2407.2 | 2290.28021978022 | 116.91978021978 |
| 90 | 2085.2 | 2290.28021978022 | -205.08021978022 |
| 91 | 2735.6 | 2290.28021978022 | 445.31978021978 |
| 92 | 2798.7 | 2290.28021978022 | 508.41978021978 |
| 93 | 3053.2 | 2290.28021978022 | 762.91978021978 |
| 94 | 2405 | 2290.28021978022 | 114.719780219780 |
| 95 | 2471.9 | 2290.28021978022 | 181.619780219780 |
| 96 | 2727.3 | 2290.28021978022 | 437.019780219780 |
| 97 | 2790.7 | 2290.28021978022 | 500.41978021978 |
| 98 | 2385.4 | 2290.28021978022 | 95.1197802197803 |
| 99 | 3206.6 | 2290.28021978022 | 916.31978021978 |
| 100 | 2705.6 | 2290.28021978022 | 415.31978021978 |
| 101 | 3518.4 | 2290.28021978022 | 1228.11978021978 |
| 102 | 1954.9 | 2290.28021978022 | -335.38021978022 |
| 103 | 2584.3 | 2290.28021978022 | 294.019780219780 |
| 104 | 2535.8 | 2290.28021978022 | 245.519780219780 |
| 105 | 2685.9 | 2290.28021978022 | 395.61978021978 |
| 106 | 2866 | 2290.28021978022 | 575.71978021978 |
| 107 | 2236.6 | 2290.28021978022 | -53.6802197802199 |
| 108 | 2934.9 | 2290.28021978022 | 644.61978021978 |
| 109 | 2668.6 | 2290.28021978022 | 378.31978021978 |
| 110 | 2371.2 | 2290.28021978022 | 80.91978021978 |
| 111 | 3165.9 | 2290.28021978022 | 875.61978021978 |
| 112 | 2887.2 | 2290.28021978022 | 596.91978021978 |
| 113 | 3112.2 | 2290.28021978022 | 821.91978021978 |
| 114 | 2671.2 | 2290.28021978022 | 380.91978021978 |
| 115 | 2432.6 | 2290.28021978022 | 142.31978021978 |
| 116 | 2812.3 | 2290.28021978022 | 522.01978021978 |
| 117 | 3095.7 | 2290.28021978022 | 805.41978021978 |
| 118 | 2862.9 | 2290.28021978022 | 572.61978021978 |
| 119 | 2607.3 | 2290.28021978022 | 317.019780219780 |
| 120 | 2862.5 | 2290.28021978022 | 572.21978021978 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.00254826141355959 | 0.00509652282711917 | 0.99745173858644 |
| 6 | 0.00117003755455760 | 0.00234007510911519 | 0.998829962445442 |
| 7 | 0.000191984707355903 | 0.000383969414711806 | 0.999808015292644 |
| 8 | 4.43102757986334e-05 | 8.86205515972669e-05 | 0.999955689724201 |
| 9 | 1.81393787903007e-05 | 3.62787575806015e-05 | 0.99998186062121 |
| 10 | 2.86045794958925e-06 | 5.7209158991785e-06 | 0.99999713954205 |
| 11 | 2.41033635681395e-06 | 4.82067271362791e-06 | 0.999997589663643 |
| 12 | 5.15477922922994e-07 | 1.03095584584599e-06 | 0.999999484522077 |
| 13 | 8.25362591969503e-08 | 1.65072518393901e-07 | 0.999999917463741 |
| 14 | 1.33269862214333e-08 | 2.66539724428666e-08 | 0.999999986673014 |
| 15 | 5.08933655645804e-09 | 1.01786731129161e-08 | 0.999999994910663 |
| 16 | 2.99680916336652e-09 | 5.99361832673305e-09 | 0.99999999700319 |
| 17 | 8.66036988838159e-10 | 1.73207397767632e-09 | 0.999999999133963 |
| 18 | 4.97350627497977e-10 | 9.94701254995955e-10 | 0.99999999950265 |
| 19 | 1.40443467144352e-10 | 2.80886934288703e-10 | 0.999999999859557 |
| 20 | 8.51649437203201e-11 | 1.7032988744064e-10 | 0.999999999914835 |
| 21 | 1.36539899088159e-10 | 2.73079798176317e-10 | 0.99999999986346 |
| 22 | 6.22650892332271e-11 | 1.24530178466454e-10 | 0.999999999937735 |
| 23 | 4.14555257905999e-11 | 8.29110515811997e-11 | 0.999999999958544 |
| 24 | 2.81945665671629e-10 | 5.63891331343259e-10 | 0.999999999718054 |
| 25 | 1.94360954801925e-10 | 3.88721909603849e-10 | 0.999999999805639 |
| 26 | 5.52135355003007e-11 | 1.10427071000601e-10 | 0.999999999944786 |
| 27 | 3.14115776991543e-11 | 6.28231553983085e-11 | 0.999999999968588 |
| 28 | 7.40320360954235e-11 | 1.48064072190847e-10 | 0.999999999925968 |
| 29 | 6.6856088014826e-11 | 1.33712176029652e-10 | 0.999999999933144 |
| 30 | 2.03877853935221e-11 | 4.07755707870441e-11 | 0.999999999979612 |
| 31 | 7.1711477352395e-12 | 1.4342295470479e-11 | 0.999999999992829 |
| 32 | 2.34951305099513e-12 | 4.69902610199026e-12 | 0.99999999999765 |
| 33 | 1.30505372079942e-12 | 2.61010744159884e-12 | 0.999999999998695 |
| 34 | 6.55932475923159e-12 | 1.31186495184632e-11 | 0.99999999999344 |
| 35 | 4.41142577377296e-11 | 8.82285154754591e-11 | 0.999999999955886 |
| 36 | 1.72749089357268e-11 | 3.45498178714535e-11 | 0.999999999982725 |
| 37 | 1.11109498785635e-11 | 2.2221899757127e-11 | 0.99999999998889 |
| 38 | 4.37975277542928e-12 | 8.75950555085856e-12 | 0.99999999999562 |
| 39 | 1.71669627295394e-11 | 3.43339254590788e-11 | 0.999999999982833 |
| 40 | 8.79305063279658e-12 | 1.75861012655932e-11 | 0.999999999991207 |
| 41 | 5.811583410086e-12 | 1.1623166820172e-11 | 0.999999999994188 |
| 42 | 1.00183665636844e-11 | 2.00367331273687e-11 | 0.999999999989982 |
| 43 | 6.14506777519582e-12 | 1.22901355503916e-11 | 0.999999999993855 |
| 44 | 6.78591656727517e-12 | 1.35718331345503e-11 | 0.999999999993214 |
| 45 | 3.22913109145724e-12 | 6.45826218291447e-12 | 0.99999999999677 |
| 46 | 7.57870615735575e-12 | 1.51574123147115e-11 | 0.999999999992421 |
| 47 | 1.05757148566129e-10 | 2.11514297132258e-10 | 0.999999999894243 |
| 48 | 6.37349331129436e-11 | 1.27469866225887e-10 | 0.999999999936265 |
| 49 | 4.44673263750856e-11 | 8.89346527501712e-11 | 0.999999999955533 |
| 50 | 3.55805164529656e-11 | 7.11610329059312e-11 | 0.99999999996442 |
| 51 | 2.13370848512149e-10 | 4.26741697024299e-10 | 0.99999999978663 |
| 52 | 1.40681583093066e-10 | 2.81363166186132e-10 | 0.999999999859318 |
| 53 | 1.80296170204467e-10 | 3.60592340408933e-10 | 0.999999999819704 |
| 54 | 3.60250612081756e-10 | 7.20501224163511e-10 | 0.99999999963975 |
| 55 | 2.22015316533750e-09 | 4.44030633067500e-09 | 0.999999997779847 |
| 56 | 2.80608857413867e-09 | 5.61217714827734e-09 | 0.999999997193911 |
| 57 | 3.9030884825351e-09 | 7.8061769650702e-09 | 0.999999996096911 |
| 58 | 3.39140470543664e-09 | 6.78280941087329e-09 | 0.999999996608595 |
| 59 | 4.36296816466258e-09 | 8.72593632932515e-09 | 0.999999995637032 |
| 60 | 2.81015803495758e-08 | 5.62031606991517e-08 | 0.99999997189842 |
| 61 | 2.79264896429318e-08 | 5.58529792858637e-08 | 0.99999997207351 |
| 62 | 1.07217018907921e-07 | 2.14434037815843e-07 | 0.99999989278298 |
| 63 | 1.23073173294119e-07 | 2.46146346588238e-07 | 0.999999876926827 |
| 64 | 1.48775709142014e-07 | 2.97551418284028e-07 | 0.99999985122429 |
| 65 | 1.02769631019277e-06 | 2.05539262038553e-06 | 0.99999897230369 |
| 66 | 1.85853281889022e-06 | 3.71706563778044e-06 | 0.999998141467181 |
| 67 | 1.81257733269860e-05 | 3.62515466539721e-05 | 0.999981874226673 |
| 68 | 2.65303370922856e-05 | 5.30606741845711e-05 | 0.999973469662908 |
| 69 | 0.000132458627643849 | 0.000264917255287697 | 0.999867541372356 |
| 70 | 0.000185362619473375 | 0.000370725238946749 | 0.999814637380527 |
| 71 | 0.00026287890495351 | 0.00052575780990702 | 0.999737121095047 |
| 72 | 0.000369224679105016 | 0.000738449358210032 | 0.999630775320895 |
| 73 | 0.000554544123303652 | 0.00110908824660730 | 0.999445455876696 |
| 74 | 0.00081125202184739 | 0.00162250404369478 | 0.999188747978153 |
| 75 | 0.00165005375128746 | 0.00330010750257493 | 0.998349946248713 |
| 76 | 0.00361798592208201 | 0.00723597184416402 | 0.996382014077918 |
| 77 | 0.00604031511440589 | 0.0120806302288118 | 0.993959684885594 |
| 78 | 0.0111574355132996 | 0.0223148710265991 | 0.9888425644867 |
| 79 | 0.0135549748190601 | 0.0271099496381202 | 0.98644502518094 |
| 80 | 0.0160168286154135 | 0.0320336572308269 | 0.983983171384587 |
| 81 | 0.0305584592590151 | 0.0611169185180301 | 0.969441540740985 |
| 82 | 0.0348302384006325 | 0.069660476801265 | 0.965169761599368 |
| 83 | 0.0383270220998013 | 0.0766540441996027 | 0.961672977900199 |
| 84 | 0.0421550310164665 | 0.084310062032933 | 0.957844968983533 |
| 85 | 0.0469996948069699 | 0.0939993896139397 | 0.95300030519303 |
| 86 | 0.0541275213600217 | 0.108255042720043 | 0.945872478639978 |
| 87 | 0.057930642406167 | 0.115861284812334 | 0.942069357593833 |
| 88 | 0.08544905253227 | 0.17089810506454 | 0.91455094746773 |
| 89 | 0.0862606694912308 | 0.172521338982462 | 0.91373933050877 |
| 90 | 0.142450864228381 | 0.284901728456762 | 0.857549135771619 |
| 91 | 0.155019018077030 | 0.310038036154060 | 0.84498098192297 |
| 92 | 0.172866291912561 | 0.345732583825123 | 0.827133708087439 |
| 93 | 0.265312127716995 | 0.53062425543399 | 0.734687872283005 |
| 94 | 0.262461135165279 | 0.524922270330557 | 0.737538864834721 |
| 95 | 0.251736117829264 | 0.503472235658528 | 0.748263882170736 |
| 96 | 0.239215464613513 | 0.478430929227026 | 0.760784535386487 |
| 97 | 0.231313042299006 | 0.462626084598011 | 0.768686957700994 |
| 98 | 0.232748322674252 | 0.465496645348503 | 0.767251677325748 |
| 99 | 0.365607272910926 | 0.731214545821853 | 0.634392727089074 |
| 100 | 0.328017007781214 | 0.656034015562428 | 0.671982992218786 |
| 101 | 0.724481772559428 | 0.551036454881144 | 0.275518227440572 |
| 102 | 0.918783384088452 | 0.162433231823095 | 0.0812166159115476 |
| 103 | 0.897272482247284 | 0.205455035505432 | 0.102727517752716 |
| 104 | 0.878860184762208 | 0.242279630475585 | 0.121139815237793 |
| 105 | 0.840863623016767 | 0.318272753966467 | 0.159136376983233 |
| 106 | 0.803038608993708 | 0.393922782012584 | 0.196961391006292 |
| 107 | 0.898381036569388 | 0.203237926861224 | 0.101618963430612 |
| 108 | 0.869844837110212 | 0.260310325779576 | 0.130155162889788 |
| 109 | 0.822533860365175 | 0.354932279269649 | 0.177466139634825 |
| 110 | 0.88735075847269 | 0.225298483054619 | 0.112649241527309 |
| 111 | 0.910894439593809 | 0.178211120812382 | 0.0891055604061909 |
| 112 | 0.856152199388167 | 0.287695601223665 | 0.143847800611833 |
| 113 | 0.874547390434997 | 0.250905219130005 | 0.125452609565003 |
| 114 | 0.784046696776652 | 0.431906606446695 | 0.215953303223348 |
| 115 | 0.84977697932924 | 0.300446041341518 | 0.150223020670759 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 72 | 0.648648648648649 | NOK |
| 5% type I error level | 76 | 0.684684684684685 | NOK |
| 10% type I error level | 81 | 0.72972972972973 | NOK |
