| Multiple Linear Regression - Estimated Regression Equation |
| month[t] = + 10.7105233261581 -0.00546848478815784CompendiumViews[t] + 0.00172111757392105BloggedComputations[t] -0.0140344644630303includedhyperlinks[t] -0.00559331872503736submittedFeedbackMessages[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) | 10.7105233261581 | 0.140435 | 76.2668 | 0 | 0 |
| CompendiumViews | -0.00546848478815784 | 0.00213 | -2.5674 | 0.011303 | 0.005652 |
| BloggedComputations | 0.00172111757392105 | 0.009329 | 0.1845 | 0.853902 | 0.426951 |
| includedhyperlinks | -0.0140344644630303 | 0.008191 | -1.7134 | 0.088865 | 0.044433 |
| submittedFeedbackMessages | -0.00559331872503736 | 0.003847 | -1.4541 | 0.148186 | 0.074093 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.476293641550563 |
| R-squared | 0.226855632981496 |
| Adjusted R-squared | 0.204606874218374 |
| F-TEST (value) | 10.1963275972731 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 139 |
| p-value | 2.87443816526789e-07 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.730732653105729 |
| Sum Squared Residuals | 74.2218592337763 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9 | 10.0667264765042 | -1.06672647650418 |
| 2 | 9 | 10.1267646768785 | -1.12676467687848 |
| 3 | 9 | 10.7050548413699 | -1.70505484136992 |
| 4 | 9 | 9.40778947640955 | -0.407789476409549 |
| 5 | 9 | 9.38896655969695 | -0.388966559696951 |
| 6 | 9 | 8.31386587808216 | 0.68613412191784 |
| 7 | 9 | 9.8996018694483 | -0.899601869448303 |
| 8 | 9 | 9.8763130533452 | -0.87631305334519 |
| 9 | 9 | 9.58540805542004 | -0.58540805542004 |
| 10 | 9 | 9.3460244793765 | -0.346024479376493 |
| 11 | 9 | 9.76871759024074 | -0.76871759024074 |
| 12 | 9 | 9.41665099516337 | -0.416650995163372 |
| 13 | 9 | 10.1141251744616 | -1.11412517446164 |
| 14 | 9 | 8.96188993779484 | 0.0381100622051573 |
| 15 | 9 | 10.0799892937061 | -1.07998929370615 |
| 16 | 9 | 9.9732547815452 | -0.973254781545205 |
| 17 | 9 | 9.47240708829135 | -0.47240708829135 |
| 18 | 9 | 10.4619448319534 | -1.46194483195339 |
| 19 | 9 | 9.33573128315493 | -0.335731283154931 |
| 20 | 9 | 10.2024082893274 | -1.20240828932735 |
| 21 | 9 | 10.1270142551322 | -1.12701425513215 |
| 22 | 9 | 9.50040735736866 | -0.500407357368656 |
| 23 | 9 | 9.98242711145026 | -0.982427111450259 |
| 24 | 9 | 9.80965801500696 | -0.80965801500696 |
| 25 | 9 | 9.95406471555556 | -0.95406471555556 |
| 26 | 9 | 9.74614885809864 | -0.746148858098643 |
| 27 | 9 | 9.68788749314868 | -0.687887493148677 |
| 28 | 9 | 9.7860604832027 | -0.786060483202692 |
| 29 | 9 | 9.65803324436788 | -0.658033244367884 |
| 30 | 9 | 9.96787090222379 | -0.96787090222379 |
| 31 | 9 | 9.93684165310475 | -0.936841653104746 |
| 32 | 9 | 9.83507051525563 | -0.835070515255626 |
| 33 | 9 | 10.0748036769722 | -1.07480367697224 |
| 34 | 9 | 10.1489346667315 | -1.14893466673146 |
| 35 | 9 | 9.81279544835625 | -0.812795448356254 |
| 36 | 9 | 10.7105233261581 | -1.71052332615808 |
| 37 | 9 | 10.0898074370323 | -1.08980743703234 |
| 38 | 9 | 9.57717329008233 | -0.57717329008233 |
| 39 | 9 | 8.90803078157598 | 0.0919692184240174 |
| 40 | 9 | 9.33645562429642 | -0.336455624296419 |
| 41 | 9 | 9.39961036052854 | -0.399610360528542 |
| 42 | 9 | 10.0728246840917 | -1.07282468409171 |
| 43 | 9 | 10.1553646535479 | -1.15536465354786 |
| 44 | 9 | 9.83248595865046 | -0.832485958650462 |
| 45 | 9 | 9.552336943503 | -0.552336943502999 |
| 46 | 9 | 10.0213179542673 | -1.02131795426727 |
| 47 | 9 | 10.1173868768561 | -1.1173868768561 |
| 48 | 9 | 9.9049633397538 | -0.904963339753797 |
| 49 | 10 | 9.87584963350364 | 0.124150366496357 |
| 50 | 10 | 9.7806345569586 | 0.219365443041393 |
| 51 | 10 | 10.0510787828831 | -0.0510787828830718 |
| 52 | 10 | 10.0894693394093 | -0.089469339409313 |
| 53 | 10 | 9.81053944574647 | 0.189460554253532 |
| 54 | 10 | 9.86640905099143 | 0.133590949008567 |
| 55 | 10 | 9.7320980814 | 0.267901918600002 |
| 56 | 10 | 10.0554842298577 | -0.0554842298576906 |
| 57 | 10 | 10.0147927630697 | -0.0147927630697393 |
| 58 | 10 | 10.113633721903 | -0.11363372190303 |
| 59 | 10 | 10.1267513149922 | -0.126751314992206 |
| 60 | 10 | 10.2020765100985 | -0.202076510098478 |
| 61 | 10 | 10.1333122004819 | -0.133312200481858 |
| 62 | 10 | 10.0050381121289 | -0.0050381121288723 |
| 63 | 10 | 10.0506366211267 | -0.0506366211267248 |
| 64 | 10 | 10.0727996913441 | -0.0727996913440696 |
| 65 | 10 | 10.3473878096578 | -0.347387809657791 |
| 66 | 10 | 10.0119104057054 | -0.0119104057053967 |
| 67 | 10 | 9.8582129493291 | 0.141787050670898 |
| 68 | 10 | 9.09221803150767 | 0.907781968492332 |
| 69 | 10 | 9.96258186066588 | 0.0374181393341193 |
| 70 | 10 | 10.3500784574526 | -0.35007845745264 |
| 71 | 10 | 9.24259096876327 | 0.757409031236726 |
| 72 | 10 | 10.0866005785551 | -0.0866005785551088 |
| 73 | 10 | 9.62308117531703 | 0.376918824682969 |
| 74 | 10 | 9.62706062557467 | 0.372939374425324 |
| 75 | 10 | 9.86085071666303 | 0.139149283336969 |
| 76 | 10 | 10.3177668844712 | -0.317766884471211 |
| 77 | 10 | 10.0590386469516 | -0.0590386469516281 |
| 78 | 10 | 9.8186114787511 | 0.181388521248899 |
| 79 | 10 | 10.0645051682835 | -0.0645051682834725 |
| 80 | 10 | 10.0528021751472 | -0.0528021751472392 |
| 81 | 10 | 9.96464897206175 | 0.0353510279382466 |
| 82 | 10 | 10.0338980019788 | -0.0338980019787939 |
| 83 | 10 | 10.1017456618354 | -0.101745661835406 |
| 84 | 10 | 9.73225821096745 | 0.267741789032554 |
| 85 | 10 | 10.010004532434 | -0.0100045324340175 |
| 86 | 10 | 10.0317965948554 | -0.0317965948553993 |
| 87 | 10 | 9.45113551707258 | 0.548864482927419 |
| 88 | 10 | 10.1091994578983 | -0.109199457898255 |
| 89 | 10 | 10.1348617026307 | -0.134861702630747 |
| 90 | 10 | 9.8925298381096 | 0.107470161890402 |
| 91 | 10 | 10.0758271962111 | -0.0758271962111377 |
| 92 | 10 | 9.8666826160658 | 0.1333173839342 |
| 93 | 10 | 10.0937490079277 | -0.0937490079276979 |
| 94 | 10 | 10.1081811827329 | -0.108181182732862 |
| 95 | 10 | 10.3538588798436 | -0.353858879843593 |
| 96 | 10 | 9.48571135548035 | 0.514288644519653 |
| 97 | 11 | 9.74851165357724 | 1.25148834642276 |
| 98 | 11 | 10.4432014428642 | 0.556798557135813 |
| 99 | 11 | 9.9304935430196 | 1.0695064569804 |
| 100 | 11 | 10.2127824861545 | 0.787217513845481 |
| 101 | 11 | 10.556957201353 | 0.443042798647011 |
| 102 | 11 | 10.2347990786982 | 0.765200921301754 |
| 103 | 11 | 9.99695943648614 | 1.00304056351386 |
| 104 | 11 | 10.2843866499751 | 0.7156133500249 |
| 105 | 11 | 10.2726081881219 | 0.727391811878146 |
| 106 | 11 | 10.2240238779017 | 0.77597612209826 |
| 107 | 11 | 9.838537054482 | 1.16146294551801 |
| 108 | 11 | 10.5659306483951 | 0.43406935160487 |
| 109 | 11 | 10.7105233261581 | 0.28947667384192 |
| 110 | 11 | 9.95666826377203 | 1.04333173622797 |
| 111 | 11 | 10.2437401804592 | 0.75625981954084 |
| 112 | 11 | 9.87551397460856 | 1.12448602539144 |
| 113 | 11 | 9.86766652710996 | 1.13233347289004 |
| 114 | 11 | 10.0101268722593 | 0.989873127740733 |
| 115 | 11 | 10.7105233261581 | 0.28947667384192 |
| 116 | 11 | 10.7105233261581 | 0.28947667384192 |
| 117 | 11 | 9.83118621399542 | 1.16881378600458 |
| 118 | 11 | 9.90725440337028 | 1.09274559662971 |
| 119 | 11 | 9.79469940324655 | 1.20530059675345 |
| 120 | 11 | 10.0806311932247 | 0.919368806775324 |
| 121 | 11 | 10.3472421868834 | 0.652757813116559 |
| 122 | 11 | 9.73394488781007 | 1.26605511218993 |
| 123 | 11 | 10.205236201436 | 0.794763798563983 |
| 124 | 11 | 10.1248764568312 | 0.875123543168838 |
| 125 | 11 | 10.3934486299401 | 0.606551370059855 |
| 126 | 11 | 10.4387420964917 | 0.56125790350831 |
| 127 | 11 | 9.8694326419559 | 1.13056735804411 |
| 128 | 11 | 9.93753121023707 | 1.06246878976293 |
| 129 | 11 | 9.83252165294259 | 1.16747834705741 |
| 130 | 11 | 10.5471912285922 | 0.45280877140777 |
| 131 | 11 | 10.672243932641 | 0.327756067359025 |
| 132 | 11 | 10.3361609437376 | 0.663839056262419 |
| 133 | 11 | 10.6608076273171 | 0.339192372682859 |
| 134 | 11 | 10.4315141394957 | 0.568485860504298 |
| 135 | 11 | 10.7136604292395 | 0.286339570760472 |
| 136 | 11 | 10.5635412187641 | 0.436458781235932 |
| 137 | 11 | 10.7105233261581 | 0.28947667384192 |
| 138 | 11 | 10.1846064531257 | 0.815393546874292 |
| 139 | 11 | 10.2548897038261 | 0.745110296173869 |
| 140 | 11 | 10.7105233261581 | 0.28947667384192 |
| 141 | 11 | 10.6886493870054 | 0.311350612994551 |
| 142 | 11 | 10.3352991378948 | 0.664700862105194 |
| 143 | 11 | 10.0444627314247 | 0.955537268575301 |
| 144 | 11 | 10.2427772032562 | 0.757222796743752 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 6.82003197113003e-45 | 1.36400639422601e-44 | 1 |
| 9 | 8.58036437706467e-61 | 1.71607287541293e-60 | 1 |
| 10 | 1.38979399455634e-76 | 2.77958798911267e-76 | 1 |
| 11 | 4.27000616501136e-91 | 8.54001233002271e-91 | 1 |
| 12 | 6.04454408101182e-101 | 1.20890881620236e-100 | 1 |
| 13 | 4.25336237465128e-120 | 8.50672474930255e-120 | 1 |
| 14 | 6.03051397637704e-130 | 1.20610279527541e-129 | 1 |
| 15 | 7.91861643994454e-145 | 1.58372328798891e-144 | 1 |
| 16 | 0 | 0 | 1 |
| 17 | 3.00140461294999e-174 | 6.00280922589998e-174 | 1 |
| 18 | 2.06927954434976e-188 | 4.13855908869953e-188 | 1 |
| 19 | 2.87589937193809e-202 | 5.75179874387617e-202 | 1 |
| 20 | 9.39196229963604e-231 | 1.87839245992721e-230 | 1 |
| 21 | 1.24216514881679e-238 | 2.48433029763358e-238 | 1 |
| 22 | 3.46289552502622e-245 | 6.92579105005244e-245 | 1 |
| 23 | 1.39638560621807e-261 | 2.79277121243613e-261 | 1 |
| 24 | 8.16879486527657e-272 | 1.63375897305531e-271 | 1 |
| 25 | 4.29129951043283e-299 | 8.58259902086567e-299 | 1 |
| 26 | 9.43166377254481e-318 | 1.88633275450896e-317 | 1 |
| 27 | 0 | 0 | 1 |
| 28 | 0 | 0 | 1 |
| 29 | 0 | 0 | 1 |
| 30 | 0 | 0 | 1 |
| 31 | 0 | 0 | 1 |
| 32 | 0 | 0 | 1 |
| 33 | 0 | 0 | 1 |
| 34 | 0 | 0 | 1 |
| 35 | 0 | 0 | 1 |
| 36 | 0 | 0 | 1 |
| 37 | 0 | 0 | 1 |
| 38 | 0 | 0 | 1 |
| 39 | 0 | 0 | 1 |
| 40 | 0 | 0 | 1 |
| 41 | 0 | 0 | 1 |
| 42 | 0 | 0 | 1 |
| 43 | 0 | 0 | 1 |
| 44 | 0 | 0 | 1 |
| 45 | 0 | 0 | 1 |
| 46 | 0 | 0 | 1 |
| 47 | 0 | 0 | 1 |
| 48 | 0 | 0 | 1 |
| 49 | 5.91754671719657e-13 | 1.18350934343931e-12 | 0.999999999999408 |
| 50 | 4.34178102870677e-08 | 8.68356205741355e-08 | 0.99999995658219 |
| 51 | 3.54048986084284e-06 | 7.08097972168568e-06 | 0.99999645951014 |
| 52 | 9.93389016195874e-05 | 0.000198677803239175 | 0.99990066109838 |
| 53 | 0.000979095890917707 | 0.00195819178183541 | 0.999020904109082 |
| 54 | 0.00425878478776048 | 0.00851756957552095 | 0.99574121521224 |
| 55 | 0.00948275852136345 | 0.0189655170427269 | 0.990517241478637 |
| 56 | 0.0310690334973525 | 0.062138066994705 | 0.968930966502648 |
| 57 | 0.064072499880773 | 0.128144999761546 | 0.935927500119227 |
| 58 | 0.095496800492145 | 0.19099360098429 | 0.904503199507855 |
| 59 | 0.131163550333495 | 0.26232710066699 | 0.868836449666505 |
| 60 | 0.146530487021324 | 0.293060974042648 | 0.853469512978676 |
| 61 | 0.147406877126739 | 0.294813754253478 | 0.852593122873261 |
| 62 | 0.210883644678573 | 0.421767289357146 | 0.789116355321427 |
| 63 | 0.267803257342481 | 0.535606514684962 | 0.732196742657519 |
| 64 | 0.321282289643348 | 0.642564579286696 | 0.678717710356652 |
| 65 | 0.378011652038224 | 0.756023304076449 | 0.621988347961776 |
| 66 | 0.401597287118922 | 0.803194574237844 | 0.598402712881078 |
| 67 | 0.413221045654858 | 0.826442091309715 | 0.586778954345142 |
| 68 | 0.494794403036838 | 0.989588806073677 | 0.505205596963162 |
| 69 | 0.517647990038523 | 0.964704019922953 | 0.482352009961477 |
| 70 | 0.568553315348074 | 0.862893369303853 | 0.431446684651926 |
| 71 | 0.641333241957074 | 0.717333516085853 | 0.358666758042926 |
| 72 | 0.716053126214535 | 0.567893747570931 | 0.283946873785465 |
| 73 | 0.71465686669184 | 0.570686266616319 | 0.28534313330816 |
| 74 | 0.735309589111526 | 0.529380821776947 | 0.264690410888474 |
| 75 | 0.751364848042955 | 0.497270303914089 | 0.248635151957045 |
| 76 | 0.799162981942339 | 0.401674036115323 | 0.200837018057661 |
| 77 | 0.845463353763717 | 0.309073292472566 | 0.154536646236283 |
| 78 | 0.850773568721686 | 0.298452862556629 | 0.149226431278314 |
| 79 | 0.874617918542527 | 0.250764162914947 | 0.125382081457473 |
| 80 | 0.899516471084944 | 0.200967057830111 | 0.100483528915056 |
| 81 | 0.924427221045983 | 0.151145557908033 | 0.0755727789540167 |
| 82 | 0.945725136677716 | 0.108549726644568 | 0.0542748633222838 |
| 83 | 0.962644908893499 | 0.0747101822130029 | 0.0373550911065014 |
| 84 | 0.971864145390543 | 0.0562717092189145 | 0.0281358546094573 |
| 85 | 0.978507401272577 | 0.0429851974548463 | 0.0214925987274231 |
| 86 | 0.987837913754266 | 0.0243241724914674 | 0.0121620862457337 |
| 87 | 0.987370795931084 | 0.0252584081378312 | 0.0126292040689156 |
| 88 | 0.994982874653688 | 0.0100342506926249 | 0.00501712534631243 |
| 89 | 0.998439135588565 | 0.00312172882286908 | 0.00156086441143454 |
| 90 | 0.999459451009467 | 0.00108109798106531 | 0.000540548990532657 |
| 91 | 0.999908937417842 | 0.000182125164315709 | 9.10625821578543e-05 |
| 92 | 0.999995270260964 | 9.4594780717602e-06 | 4.7297390358801e-06 |
| 93 | 0.999999909176678 | 1.81646644154402e-07 | 9.08233220772008e-08 |
| 94 | 0.999999999489521 | 1.02095808213263e-09 | 5.10479041066317e-10 |
| 95 | 1 | 5.02461620098181e-17 | 2.51230810049091e-17 |
| 96 | 1 | 0 | 0 |
| 97 | 1 | 0 | 0 |
| 98 | 1 | 0 | 0 |
| 99 | 1 | 0 | 0 |
| 100 | 1 | 0 | 0 |
| 101 | 1 | 0 | 0 |
| 102 | 1 | 0 | 0 |
| 103 | 1 | 0 | 0 |
| 104 | 1 | 0 | 0 |
| 105 | 1 | 0 | 0 |
| 106 | 1 | 0 | 0 |
| 107 | 1 | 0 | 0 |
| 108 | 1 | 0 | 0 |
| 109 | 1 | 0 | 0 |
| 110 | 1 | 0 | 0 |
| 111 | 1 | 0 | 0 |
| 112 | 1 | 0 | 0 |
| 113 | 1 | 0 | 0 |
| 114 | 1 | 0 | 0 |
| 115 | 1 | 0 | 0 |
| 116 | 1 | 0 | 0 |
| 117 | 1 | 0 | 0 |
| 118 | 1 | 3.30697509632007e-309 | 1.65348754816003e-309 |
| 119 | 1 | 4.76565226710342e-287 | 2.38282613355171e-287 |
| 120 | 1 | 9.91339741503464e-281 | 4.95669870751732e-281 |
| 121 | 1 | 5.99454340850493e-270 | 2.99727170425247e-270 |
| 122 | 1 | 3.6622074382996e-247 | 1.8311037191498e-247 |
| 123 | 1 | 1.71566003212324e-246 | 8.5783001606162e-247 |
| 124 | 1 | 2.07897012291399e-229 | 1.03948506145699e-229 |
| 125 | 1 | 9.02151181542995e-201 | 4.51075590771497e-201 |
| 126 | 1 | 1.87013221048667e-191 | 9.35066105243334e-192 |
| 127 | 1 | 4.32794667023158e-176 | 2.16397333511579e-176 |
| 128 | 1 | 0 | 0 |
| 129 | 1 | 1.97255400135041e-150 | 9.86277000675204e-151 |
| 130 | 1 | 4.28946307699848e-130 | 2.14473153849924e-130 |
| 131 | 1 | 7.13548554096738e-125 | 3.56774277048369e-125 |
| 132 | 1 | 1.27895011897706e-99 | 6.39475059488528e-100 |
| 133 | 1 | 4.6588925970906e-90 | 2.3294462985453e-90 |
| 134 | 1 | 2.06007027608186e-74 | 1.03003513804093e-74 |
| 135 | 1 | 1.45163268211543e-61 | 7.25816341057714e-62 |
| 136 | 1 | 3.62199856362962e-44 | 1.81099928181481e-44 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 95 | 0.736434108527132 | NOK |
| 5% type I error level | 100 | 0.775193798449612 | NOK |
| 10% type I error level | 103 | 0.7984496124031 | NOK |
