| Multiple Linear Regression - Estimated Regression Equation |
| tijd[t] = + 4097.46565131573 + 1227.94488236004blogs[t] + 1280.58598543977Pr[t] + 1.09886422062257karakters[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) | 4097.46565131573 | 4145.602585 | 0.9884 | 0.324668 | 0.162334 |
| blogs | 1227.94488236004 | 166.226564 | 7.3872 | 0 | 0 |
| Pr | 1280.58598543977 | 440.23526 | 2.9089 | 0.00422 | 0.00211 |
| karakters | 1.09886422062257 | 0.195686 | 5.6154 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.82747234040339 |
| R-squared | 0.684710474132664 |
| Adjusted R-squared | 0.677954270006936 |
| F-TEST (value) | 101.345439153501 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 140 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 21504.4405042973 |
| Sum Squared Residuals | 64741734596.4008 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 63031 | 37831.4294115356 | 25199.5705884644 |
| 2 | 66751 | 64335.8368232567 | 2415.16317674331 |
| 3 | 7176 | 5661.14943726165 | 1514.85056273835 |
| 4 | 78306 | 86930.685747397 | -8624.68574739696 |
| 5 | 137944 | 104328.77275168 | 33615.2272483199 |
| 6 | 261308 | 226092.592597043 | 35215.4074029565 |
| 7 | 69266 | 62310.1081670986 | 6955.89183290142 |
| 8 | 83529 | 85294.0920159881 | -1765.09201598814 |
| 9 | 73226 | 87424.2761918507 | -14198.2761918507 |
| 10 | 178519 | 101629.944510412 | 76889.0554895878 |
| 11 | 66476 | 79326.3598270145 | -12850.3598270145 |
| 12 | 98606 | 109159.275486027 | -10553.2754860267 |
| 13 | 50001 | 48558.559648672 | 1442.44035132802 |
| 14 | 91093 | 69253.1740925452 | 21839.8259074548 |
| 15 | 73884 | 58488.2015351218 | 15395.7984648782 |
| 16 | 72961 | 63088.5998678051 | 9872.40013219491 |
| 17 | 69388 | 124763.075650496 | -55375.0756504958 |
| 18 | 15629 | 17118.8547793243 | -1489.85477932434 |
| 19 | 71693 | 103888.848702623 | -32195.848702623 |
| 20 | 19920 | 67040.6440488084 | -47120.6440488084 |
| 21 | 39403 | 40759.4375345954 | -1356.43753459544 |
| 22 | 99933 | 128248.986096841 | -28315.9860968411 |
| 23 | 56088 | 33220.6259494097 | 22867.3740505902 |
| 24 | 62006 | 64264.201889896 | -2258.20188989595 |
| 25 | 81665 | 76105.9830690643 | 5559.01693093567 |
| 26 | 65223 | 50904.1212117765 | 14318.8787882235 |
| 27 | 88794 | 77660.4798650183 | 11133.5201349817 |
| 28 | 90642 | 93990.9452375484 | -3348.94523754841 |
| 29 | 203699 | 140916.096346557 | 62782.9036534431 |
| 30 | 99340 | 51729.8817893887 | 47610.1182106113 |
| 31 | 56695 | 60509.3744984025 | -3814.37449840253 |
| 32 | 108143 | 80476.5034745234 | 27666.4965254766 |
| 33 | 58313 | 63299.0700537723 | -4986.07005377232 |
| 34 | 29101 | 41310.479237353 | -12209.479237353 |
| 35 | 113060 | 75553.260912185 | 37506.739087815 |
| 36 | 0 | 4097.46565131575 | -4097.46565131575 |
| 37 | 65773 | 43376.5947080753 | 22396.4052919247 |
| 38 | 67047 | 73431.7716202034 | -6384.77162020338 |
| 39 | 41953 | 57776.8170628061 | -15823.8170628061 |
| 40 | 109835 | 126540.243884147 | -16705.2438841469 |
| 41 | 86584 | 86985.8703285872 | -401.870328587155 |
| 42 | 59588 | 47704.0832610486 | 11883.9167389514 |
| 43 | 40064 | 52791.7434683669 | -12727.7434683669 |
| 44 | 70227 | 86396.892198521 | -16169.892198521 |
| 45 | 60437 | 83385.6994451109 | -22948.6994451109 |
| 46 | 47000 | 33551.5276165599 | 13448.4723834401 |
| 47 | 40295 | 48783.0243889572 | -8488.0243889572 |
| 48 | 103397 | 76919.5340453206 | 26477.4659546794 |
| 49 | 78982 | 63475.1913144439 | 15506.8086855561 |
| 50 | 60206 | 63826.5734026965 | -3620.57340269651 |
| 51 | 39887 | 45654.3165826857 | -5767.31658268567 |
| 52 | 49791 | 44670.0231180256 | 5120.97688197438 |
| 53 | 129283 | 74356.9892289226 | 54926.0107710774 |
| 54 | 104816 | 79019.1504323999 | 25796.8495676001 |
| 55 | 101395 | 93108.7902889215 | 8286.20971107854 |
| 56 | 72824 | 48981.1414368258 | 23842.8585631742 |
| 57 | 76018 | 69589.3305141717 | 6428.66948582831 |
| 58 | 33891 | 41612.9176339761 | -7721.91763397605 |
| 59 | 63694 | 71007.8123366266 | -7313.8123366266 |
| 60 | 28266 | 45979.8105928239 | -17713.8105928239 |
| 61 | 35093 | 30012.3432439802 | 5080.65675601977 |
| 62 | 35252 | 41873.0371192655 | -6621.03711926549 |
| 63 | 36977 | 47105.4976839208 | -10128.4976839208 |
| 64 | 42406 | 48688.0168676851 | -6282.01686768514 |
| 65 | 56353 | 39662.8903176442 | 16690.1096823558 |
| 66 | 58817 | 71957.6075805202 | -13140.6075805202 |
| 67 | 76053 | 90153.2258191172 | -14100.2258191172 |
| 68 | 70872 | 84917.9038952595 | -14045.9038952595 |
| 69 | 42372 | 59091.6784016378 | -16719.6784016378 |
| 70 | 19144 | 18591.1809485897 | 552.819051410252 |
| 71 | 114177 | 76630.8309981074 | 37546.1690018926 |
| 72 | 53544 | 59518.0935757241 | -5974.09357572414 |
| 73 | 51379 | 78515.8706193548 | -27136.8706193548 |
| 74 | 40756 | 62033.5401331709 | -21277.5401331709 |
| 75 | 46956 | 66561.3901819471 | -19605.3901819471 |
| 76 | 17799 | 16560.0707004648 | 1238.92929953524 |
| 77 | 71154 | 74189.032604955 | -3035.03260495504 |
| 78 | 58305 | 77046.9193572164 | -18741.9193572164 |
| 79 | 27454 | 50738.8414495038 | -23284.8414495038 |
| 80 | 34323 | 69477.2612593881 | -35154.2612593881 |
| 81 | 44761 | 82214.2235218359 | -37453.2235218359 |
| 82 | 113862 | 54439.7620916081 | 59422.2379083919 |
| 83 | 35027 | 45638.5642759474 | -10611.5642759474 |
| 84 | 62396 | 67305.3296089347 | -4909.32960893469 |
| 85 | 29613 | 46398.5365370649 | -16785.5365370649 |
| 86 | 65559 | 61991.2110686788 | 3567.78893132116 |
| 87 | 110811 | 83514.7391460834 | 27296.2608539166 |
| 88 | 27883 | 46870.3584561265 | -18987.3584561265 |
| 89 | 40181 | 52132.4100402735 | -11951.4100402735 |
| 90 | 53398 | 54533.5504572628 | -1135.55045726283 |
| 91 | 56435 | 63889.1844017593 | -7454.18440175932 |
| 92 | 77283 | 88738.0843697881 | -11455.0843697881 |
| 93 | 71738 | 52958.2097751182 | 18779.7902248818 |
| 94 | 48503 | 46148.0756127604 | 2354.92438723956 |
| 95 | 25214 | 45089.3232092375 | -19875.3232092375 |
| 96 | 119424 | 60863.208777443 | 58560.791222557 |
| 97 | 79201 | 100039.959751543 | -20838.9597515427 |
| 98 | 19349 | 25621.4112467609 | -6272.41124676092 |
| 99 | 78760 | 46256.9834619988 | 32503.0165380012 |
| 100 | 54133 | 40900.0678933225 | 13232.9321066775 |
| 101 | 21623 | 17756.4700085833 | 3866.5299914167 |
| 102 | 25497 | 59674.189167704 | -34177.189167704 |
| 103 | 69535 | 61290.0639275503 | 8244.93607244971 |
| 104 | 30709 | 32868.6128415348 | -2159.61284153483 |
| 105 | 37043 | 39022.5507198318 | -1979.55071983176 |
| 106 | 24716 | 26292.7679751703 | -1576.76797517031 |
| 107 | 54865 | 76316.009671946 | -21451.009671946 |
| 108 | 27246 | 16905.9164906826 | 10340.0835093174 |
| 109 | 0 | 4097.46565131575 | -4097.46565131575 |
| 110 | 38814 | 67724.8561745858 | -28910.8561745858 |
| 111 | 27646 | 47710.5235438368 | -20064.5235438368 |
| 112 | 65373 | 79602.6081763179 | -14229.6081763179 |
| 113 | 43021 | 70855.9211579278 | -27834.9211579278 |
| 114 | 43116 | 54852.1399470792 | -11736.1399470792 |
| 115 | 3058 | 4097.46565131575 | -1039.46565131575 |
| 116 | 0 | 4097.46565131575 | -4097.46565131575 |
| 117 | 96347 | 72107.1901051738 | 24239.8098948262 |
| 118 | 48626 | 82871.5335658373 | -34245.5335658373 |
| 119 | 73073 | 45235.0397368198 | 27837.9602631802 |
| 120 | 45266 | 57213.2776690406 | -11947.2776690406 |
| 121 | 43410 | 17029.6072108272 | 26380.3927891728 |
| 122 | 83842 | 92725.9521102177 | -8883.95211021765 |
| 123 | 39296 | 46555.4345539872 | -7259.43455398718 |
| 124 | 38490 | 60411.1598682589 | -21921.1598682588 |
| 125 | 39841 | 30732.2269333442 | 9108.77306665585 |
| 126 | 19764 | 25112.6045014739 | -5348.60450147388 |
| 127 | 59975 | 71870.9669088787 | -11895.9669088787 |
| 128 | 64589 | 40473.9807534864 | 24115.0192465136 |
| 129 | 63339 | 71720.8708363005 | -8381.8708363005 |
| 130 | 11796 | 7886.58250455533 | 3909.41749544467 |
| 131 | 7627 | 4097.46565131575 | 3529.53434868425 |
| 132 | 68998 | 52927.6503359611 | 16070.3496640389 |
| 133 | 6836 | 5378.05163675552 | 1457.94836324448 |
| 134 | 33365 | 39864.4652103363 | -6499.46521033626 |
| 135 | 5118 | 10237.1900631159 | -5119.19006311594 |
| 136 | 20898 | 14227.4708371008 | 6670.52916289919 |
| 137 | 0 | 4097.46565131575 | -4097.46565131575 |
| 138 | 42690 | 39805.3577594233 | 2884.64224057671 |
| 139 | 14507 | 39523.9832966663 | -25016.9832966663 |
| 140 | 7131 | 4097.46565131575 | 3033.53434868425 |
| 141 | 4194 | 4097.46565131575 | 96.5343486842549 |
| 142 | 21416 | 35423.3369673657 | -14007.3369673657 |
| 143 | 30591 | 29358.8228054475 | 1232.17719455255 |
| 144 | 42419 | 38874.6849868336 | 3544.31501316644 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.550427319915931 | 0.899145360168137 | 0.449572680084069 |
| 8 | 0.430493634166369 | 0.860987268332738 | 0.569506365833631 |
| 9 | 0.398056929359001 | 0.796113858718001 | 0.601943070640999 |
| 10 | 0.960421613347674 | 0.0791567733046522 | 0.0395783866523261 |
| 11 | 0.962403736137824 | 0.0751925277243525 | 0.0375962638621763 |
| 12 | 0.956766068782652 | 0.0864678624346963 | 0.0432339312173482 |
| 13 | 0.931242397822071 | 0.137515204355859 | 0.0687576021779293 |
| 14 | 0.903976662793237 | 0.192046674413526 | 0.0960233372067628 |
| 15 | 0.864442218572697 | 0.271115562854606 | 0.135557781427303 |
| 16 | 0.827974348142626 | 0.344051303714749 | 0.172025651857374 |
| 17 | 0.987032970415892 | 0.0259340591682152 | 0.0129670295841076 |
| 18 | 0.980757753257218 | 0.0384844934855646 | 0.0192422467427823 |
| 19 | 0.983596384376646 | 0.0328072312467073 | 0.0164036156233537 |
| 20 | 0.9959435251727 | 0.00811294965460084 | 0.00405647482730042 |
| 21 | 0.994062251198612 | 0.0118754976027751 | 0.00593774880138755 |
| 22 | 0.996256197656656 | 0.00748760468668737 | 0.00374380234334368 |
| 23 | 0.996816388323778 | 0.00636722335244445 | 0.00318361167622222 |
| 24 | 0.994973736968589 | 0.0100525260628213 | 0.00502626303141065 |
| 25 | 0.992232045476341 | 0.0155359090473177 | 0.00776795452365887 |
| 26 | 0.989287329805129 | 0.021425340389742 | 0.010712670194871 |
| 27 | 0.985702358877986 | 0.0285952822440286 | 0.0142976411220143 |
| 28 | 0.979348449654699 | 0.041303100690602 | 0.020651550345301 |
| 29 | 0.998061599348039 | 0.00387680130392121 | 0.00193840065196061 |
| 30 | 0.999502939088556 | 0.000994121822887709 | 0.000497060911443854 |
| 31 | 0.999195459097489 | 0.00160908180502238 | 0.000804540902511191 |
| 32 | 0.99933097984398 | 0.00133804031203966 | 0.00066902015601983 |
| 33 | 0.999138059928229 | 0.00172388014354131 | 0.000861940071770655 |
| 34 | 0.998896025941874 | 0.00220794811625177 | 0.00110397405812588 |
| 35 | 0.999488373424534 | 0.00102325315093132 | 0.000511626575465658 |
| 36 | 0.999243093333234 | 0.00151381333353218 | 0.000756906666766091 |
| 37 | 0.999204824139586 | 0.00159035172082717 | 0.000795175860413587 |
| 38 | 0.998851924549442 | 0.00229615090111544 | 0.00114807545055772 |
| 39 | 0.998562389101216 | 0.00287522179756802 | 0.00143761089878401 |
| 40 | 0.998246326955022 | 0.00350734608995593 | 0.00175367304497796 |
| 41 | 0.997473079419407 | 0.00505384116118613 | 0.00252692058059306 |
| 42 | 0.996603642683666 | 0.00679271463266775 | 0.00339635731633388 |
| 43 | 0.995839115264973 | 0.00832176947005343 | 0.00416088473502671 |
| 44 | 0.99499904679925 | 0.0100019064014995 | 0.00500095320074974 |
| 45 | 0.995064869323626 | 0.00987026135274871 | 0.00493513067637436 |
| 46 | 0.993727292639459 | 0.0125454147210819 | 0.00627270736054096 |
| 47 | 0.991652696340884 | 0.016694607318232 | 0.00834730365911602 |
| 48 | 0.993214729242634 | 0.013570541514733 | 0.0067852707573665 |
| 49 | 0.992297944624339 | 0.0154041107513227 | 0.00770205537566133 |
| 50 | 0.989355753424158 | 0.0212884931516845 | 0.0106442465758423 |
| 51 | 0.986107801628131 | 0.0277843967437374 | 0.0138921983718687 |
| 52 | 0.98117389602547 | 0.0376522079490598 | 0.0188261039745299 |
| 53 | 0.997853509224578 | 0.00429298155084353 | 0.00214649077542176 |
| 54 | 0.998518637378103 | 0.0029627252437937 | 0.00148136262189685 |
| 55 | 0.998010820426678 | 0.00397835914664359 | 0.00198917957332179 |
| 56 | 0.998251475614885 | 0.00349704877023011 | 0.00174852438511506 |
| 57 | 0.997837266647534 | 0.00432546670493288 | 0.00216273335246644 |
| 58 | 0.997086100712787 | 0.00582779857442604 | 0.00291389928721302 |
| 59 | 0.995964318504725 | 0.00807136299055052 | 0.00403568149527526 |
| 60 | 0.9955267236414 | 0.00894655271720063 | 0.00447327635860032 |
| 61 | 0.994268190123272 | 0.0114636197534553 | 0.00573180987672766 |
| 62 | 0.992435594067404 | 0.0151288118651928 | 0.0075644059325964 |
| 63 | 0.990226938019896 | 0.0195461239602072 | 0.00977306198010362 |
| 64 | 0.987094375543151 | 0.0258112489136969 | 0.0129056244568485 |
| 65 | 0.98542169075164 | 0.0291566184967202 | 0.0145783092483601 |
| 66 | 0.982182814791718 | 0.0356343704165641 | 0.0178171852082821 |
| 67 | 0.977532406601089 | 0.0449351867978225 | 0.0224675933989112 |
| 68 | 0.973156630512042 | 0.0536867389759157 | 0.0268433694879579 |
| 69 | 0.96986282659808 | 0.0602743468038396 | 0.0301371734019198 |
| 70 | 0.962376087238176 | 0.0752478255236476 | 0.0376239127618238 |
| 71 | 0.986553668575372 | 0.0268926628492566 | 0.0134463314246283 |
| 72 | 0.984891753440976 | 0.0302164931180477 | 0.0151082465590239 |
| 73 | 0.985984543520358 | 0.0280309129592843 | 0.0140154564796421 |
| 74 | 0.985315483980897 | 0.0293690320382066 | 0.0146845160191033 |
| 75 | 0.986723739754205 | 0.0265525204915904 | 0.0132762602457952 |
| 76 | 0.9835574187923 | 0.0328851624153999 | 0.0164425812077 |
| 77 | 0.980507058348348 | 0.0389858833033031 | 0.0194929416516516 |
| 78 | 0.977184906336264 | 0.0456301873274712 | 0.0228150936637356 |
| 79 | 0.980929991037273 | 0.0381400179254539 | 0.0190700089627269 |
| 80 | 0.983919401611856 | 0.0321611967762886 | 0.0160805983881443 |
| 81 | 0.991107483957227 | 0.0177850320855452 | 0.00889251604277259 |
| 82 | 0.999290477811506 | 0.00141904437698724 | 0.00070952218849362 |
| 83 | 0.999067762437845 | 0.00186447512431069 | 0.000932237562155346 |
| 84 | 0.998591178703319 | 0.00281764259336205 | 0.00140882129668102 |
| 85 | 0.998496428901507 | 0.00300714219698573 | 0.00150357109849287 |
| 86 | 0.9978039303804 | 0.0043921392391995 | 0.00219606961959975 |
| 87 | 0.998846683955149 | 0.0023066320897015 | 0.00115331604485075 |
| 88 | 0.998958240977969 | 0.00208351804406133 | 0.00104175902203067 |
| 89 | 0.99857518274141 | 0.0028496345171809 | 0.00142481725859045 |
| 90 | 0.997837557157724 | 0.00432488568455234 | 0.00216244284227617 |
| 91 | 0.996937733542068 | 0.00612453291586321 | 0.00306226645793161 |
| 92 | 0.995993514070462 | 0.00801297185907681 | 0.00400648592953841 |
| 93 | 0.996339007914302 | 0.00732198417139556 | 0.00366099208569778 |
| 94 | 0.995338867545804 | 0.00932226490839147 | 0.00466113245419574 |
| 95 | 0.994216144793389 | 0.0115677104132212 | 0.00578385520661061 |
| 96 | 0.999895109320304 | 0.000209781359392215 | 0.000104890679696108 |
| 97 | 0.999843978784829 | 0.000312042430341092 | 0.000156021215170546 |
| 98 | 0.999737097591617 | 0.000525804816765993 | 0.000262902408382996 |
| 99 | 0.99990196333525 | 0.000196073329499687 | 9.80366647498436e-05 |
| 100 | 0.999883236844457 | 0.00023352631108647 | 0.000116763155543235 |
| 101 | 0.999803215434595 | 0.00039356913081045 | 0.000196784565405225 |
| 102 | 0.999867174968894 | 0.000265650062211394 | 0.000132825031105697 |
| 103 | 0.999847211233922 | 0.000305577532156721 | 0.000152788766078361 |
| 104 | 0.999732581012368 | 0.000534837975263996 | 0.000267418987631998 |
| 105 | 0.999534770298131 | 0.00093045940373764 | 0.00046522970186882 |
| 106 | 0.999299919248397 | 0.00140016150320609 | 0.000700080751603046 |
| 107 | 0.998998546999561 | 0.0020029060008779 | 0.00100145300043895 |
| 108 | 0.998571027854823 | 0.00285794429035428 | 0.00142897214517714 |
| 109 | 0.997803699355188 | 0.00439260128962332 | 0.00219630064481166 |
| 110 | 0.997996067956817 | 0.00400786408636588 | 0.00200393204318294 |
| 111 | 0.997451398341983 | 0.00509720331603483 | 0.00254860165801742 |
| 112 | 0.995967554749234 | 0.00806489050153167 | 0.00403244525076584 |
| 113 | 0.997627544362804 | 0.00474491127439149 | 0.00237245563719575 |
| 114 | 0.996079199005841 | 0.00784160198831766 | 0.00392080099415883 |
| 115 | 0.993707631524633 | 0.0125847369507342 | 0.0062923684753671 |
| 116 | 0.990659462604377 | 0.0186810747912451 | 0.00934053739562256 |
| 117 | 0.996204052909678 | 0.0075918941806442 | 0.0037959470903221 |
| 118 | 0.997948342997095 | 0.00410331400580975 | 0.00205165700290487 |
| 119 | 0.999539107191523 | 0.000921785616954076 | 0.000460892808477038 |
| 120 | 0.999325839308581 | 0.00134832138283804 | 0.000674160691419021 |
| 121 | 0.999838646084679 | 0.000322707830641184 | 0.000161353915320592 |
| 122 | 0.999654704776133 | 0.000690590447733035 | 0.000345295223866517 |
| 123 | 0.999251660363312 | 0.00149667927337541 | 0.000748339636687703 |
| 124 | 0.998937544047853 | 0.00212491190429372 | 0.00106245595214686 |
| 125 | 0.997999396368276 | 0.00400120726344863 | 0.00200060363172432 |
| 126 | 0.996049161720985 | 0.0079016765580298 | 0.0039508382790149 |
| 127 | 0.992865804956531 | 0.0142683900869387 | 0.00713419504346933 |
| 128 | 0.998557330639975 | 0.00288533872005073 | 0.00144266936002536 |
| 129 | 0.996651360197444 | 0.0066972796051111 | 0.00334863980255555 |
| 130 | 0.993148887415274 | 0.0137022251694513 | 0.00685111258472566 |
| 131 | 0.985679800355408 | 0.0286403992891832 | 0.0143201996445916 |
| 132 | 0.993573272144584 | 0.0128534557108317 | 0.00642672785541585 |
| 133 | 0.983976822709297 | 0.032046354581406 | 0.016023177290703 |
| 134 | 0.96245764181878 | 0.0750847163624393 | 0.0375423581812196 |
| 135 | 0.926308522947459 | 0.147382954105082 | 0.0736914770525411 |
| 136 | 0.865017988364985 | 0.26996402327003 | 0.134982011635015 |
| 137 | 0.747921370625514 | 0.504157258748972 | 0.252078629374486 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 71 | 0.541984732824427 | NOK |
| 5% type I error level | 114 | 0.870229007633588 | NOK |
| 10% type I error level | 121 | 0.923664122137405 | NOK |
