| Multiple Linear Regression - Estimated Regression Equation |
| CompendiumCharacters[t] = + 28472.4263127037 + 228.050046011924FbackMess[t] + 6.44172960280392BloggedComputations[t] + 0.382419077781907CompendiumSeconds[t] -0.190235891043444CourseViews[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) | 28472.4263127037 | 10149.787933 | 2.8052 | 0.005789 | 0.002894 |
| FbackMess | 228.050046011924 | 72.160226 | 3.1603 | 0.001955 | 0.000977 |
| BloggedComputations | 6.44172960280392 | 88.136005 | 0.0731 | 0.941846 | 0.470923 |
| CompendiumSeconds | 0.382419077781907 | 0.067032 | 5.705 | 0 | 0 |
| CourseViews | -0.190235891043444 | 8.263164 | -0.023 | 0.981667 | 0.490834 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.636557198921685 |
| R-squared | 0.405205067499022 |
| Adjusted R-squared | 0.387180978635356 |
| F-TEST (value) | 22.4813065761042 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 132 |
| p-value | 3.56381590904675e-14 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 28571.4170646005 |
| Sum Squared Residuals | 107755015246.474 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 197426 | 118966.060481262 | 78459.9395187383 |
| 2 | 187326 | 158355.379269877 | 28970.6207301228 |
| 3 | 184923 | 142187.492217903 | 42735.5077820968 |
| 4 | 183500 | 136073.329820619 | 47426.670179381 |
| 5 | 176225 | 128360.922203174 | 47864.0777968256 |
| 6 | 169707 | 161699.472926698 | 8007.52707330247 |
| 7 | 169265 | 122912.405479813 | 46352.5945201865 |
| 8 | 167949 | 126754.996173006 | 41194.0038269945 |
| 9 | 165986 | 158405.082187464 | 7580.9178125363 |
| 10 | 165933 | 122096.241617702 | 43836.7583822982 |
| 11 | 165904 | 113196.487196703 | 52707.5128032971 |
| 12 | 160902 | 102141.097312985 | 58760.9026870146 |
| 13 | 160141 | 129533.884163991 | 30607.1158360085 |
| 14 | 156349 | 130473.449291893 | 25875.5507081074 |
| 15 | 154771 | 70652.6770983192 | 84118.3229016808 |
| 16 | 154451 | 110303.652369301 | 44147.3476306994 |
| 17 | 151911 | 142917.325707356 | 8993.67429264391 |
| 18 | 151715 | 146152.071370159 | 5562.92862984117 |
| 19 | 150491 | 135468.899749067 | 15022.1002509333 |
| 20 | 150047 | 102951.331525474 | 47095.6684745263 |
| 21 | 149959 | 136270.621552369 | 13688.3784476306 |
| 22 | 149695 | 141893.999395352 | 7801.00060464808 |
| 23 | 147172 | 132406.084399493 | 14765.9156005071 |
| 24 | 146975 | 114149.838274613 | 32825.1617253874 |
| 25 | 146760 | 144236.608211468 | 2523.39178853172 |
| 26 | 144551 | 96845.088451602 | 47705.911548398 |
| 27 | 144408 | 103153.155841624 | 41254.8441583759 |
| 28 | 144244 | 83911.2399017029 | 60332.7600982971 |
| 29 | 143592 | 104456.105167733 | 39135.8948322669 |
| 30 | 140824 | 129809.267403172 | 11014.7325968276 |
| 31 | 140358 | 114151.132586025 | 26206.8674139749 |
| 32 | 140015 | 119848.511902534 | 20166.4880974662 |
| 33 | 139165 | 140571.374649263 | -1406.37464926302 |
| 34 | 136588 | 125442.766369283 | 11145.2336307167 |
| 35 | 135356 | 100985.491158288 | 34370.5088417116 |
| 36 | 134238 | 141115.030649151 | -6877.03064915053 |
| 37 | 134047 | 150858.605052618 | -16811.6050526179 |
| 38 | 131072 | 102405.203587842 | 28666.7964121584 |
| 39 | 128692 | 79956.3615528295 | 48735.6384471705 |
| 40 | 127654 | 102634.22126244 | 25019.7787375603 |
| 41 | 126817 | 86327.7564808077 | 40489.2435191923 |
| 42 | 126372 | 125281.164456035 | 1090.83554396467 |
| 43 | 125818 | 93404.7805151732 | 32413.2194848267 |
| 44 | 125386 | 109204.515973461 | 16181.4840265391 |
| 45 | 125081 | 102816.332933374 | 22264.6670666257 |
| 46 | 124089 | 111464.631733508 | 12624.3682664915 |
| 47 | 123534 | 98712.0339600672 | 24821.9660399328 |
| 48 | 120192 | 140241.221480344 | -20049.2214803443 |
| 49 | 119442 | 138860.58737354 | -19418.5873735404 |
| 50 | 118906 | 119983.692124141 | -1077.69212414125 |
| 51 | 117440 | 131990.81280648 | -14550.8128064796 |
| 52 | 116066 | 71835.8570579615 | 44230.1429420385 |
| 53 | 114948 | 139937.435774225 | -24989.4357742249 |
| 54 | 114799 | 118387.783230457 | -3588.78323045747 |
| 55 | 114360 | 89635.7993381117 | 24724.2006618883 |
| 56 | 113344 | 151193.399630971 | -37849.3996309705 |
| 57 | 112431 | 119246.180486078 | -6815.18048607765 |
| 58 | 112302 | 147712.802697129 | -35410.8026971292 |
| 59 | 112098 | 103022.004124928 | 9075.99587507187 |
| 60 | 110529 | 141365.378604232 | -30836.3786042325 |
| 61 | 110459 | 105009.633989968 | 5449.36601003168 |
| 62 | 109432 | 100238.095051002 | 9193.90494899764 |
| 63 | 108535 | 108602.411452539 | -67.4114525385084 |
| 64 | 108146 | 100312.759118792 | 7833.24088120764 |
| 65 | 105079 | 93854.4312364338 | 11224.5687635662 |
| 66 | 104978 | 104670.577650512 | 307.422349487548 |
| 67 | 104767 | 108944.588526659 | -4177.58852665862 |
| 68 | 104581 | 107860.10831869 | -3279.1083186897 |
| 69 | 104128 | 114721.84621079 | -10593.8462107898 |
| 70 | 103925 | 127802.178620984 | -23877.1786209844 |
| 71 | 103297 | 106895.026266562 | -3598.0262665624 |
| 72 | 103129 | 121927.420578761 | -18798.4205787608 |
| 73 | 103037 | 120316.384602413 | -17279.3846024128 |
| 74 | 102812 | 103137.018391244 | -325.018391244351 |
| 75 | 102153 | 94242.6277057441 | 7910.37229425594 |
| 76 | 102070 | 101406.075498344 | 663.924501656244 |
| 77 | 101629 | 135403.564390503 | -33774.5643905029 |
| 78 | 101382 | 94993.6332006525 | 6388.36679934752 |
| 79 | 101047 | 112093.437179268 | -11046.437179268 |
| 80 | 100350 | 73949.8773308957 | 26400.1226691043 |
| 81 | 100087 | 108830.299939852 | -8743.29993985226 |
| 82 | 100046 | 109962.967158779 | -9916.96715877902 |
| 83 | 96125 | 115510.912243149 | -19385.912243149 |
| 84 | 95893 | 92077.1924151037 | 3815.80758489628 |
| 85 | 95676 | 126500.540167263 | -30824.5401672628 |
| 86 | 93879 | 123176.199174769 | -29297.1991747686 |
| 87 | 93487 | 106963.873334814 | -13476.8733348137 |
| 88 | 93473 | 90041.8512438641 | 3431.14875613591 |
| 89 | 92622 | 109457.83180013 | -16835.8318001297 |
| 90 | 92280 | 118974.838933834 | -26694.8389338344 |
| 91 | 92059 | 84394.2637323099 | 7664.73626769012 |
| 92 | 89626 | 118980.223487455 | -29354.2234874549 |
| 93 | 89506 | 124561.693021897 | -35055.6930218975 |
| 94 | 89256 | 104755.400779179 | -15499.400779179 |
| 95 | 88977 | 112355.606201081 | -23378.6062010814 |
| 96 | 86652 | 106301.264687748 | -19649.264687748 |
| 97 | 84601 | 90610.7104796512 | -6009.71047965122 |
| 98 | 83515 | 101361.733948175 | -17846.7339481755 |
| 99 | 83248 | 93296.80902591 | -10048.80902591 |
| 100 | 83243 | 121933.656365659 | -38690.6563656589 |
| 101 | 82317 | 90789.2081468683 | -8472.20814686833 |
| 102 | 81897 | 96336.685897965 | -14439.685897965 |
| 103 | 81625 | 111749.145478496 | -30124.1454784965 |
| 104 | 81351 | 104563.245865795 | -23212.2458657946 |
| 105 | 79756 | 110400.178057085 | -30644.1780570855 |
| 106 | 79089 | 127306.572083506 | -48217.5720835064 |
| 107 | 79011 | 84946.2262159859 | -5935.22621598593 |
| 108 | 76173 | 66971.1540067759 | 9201.8459932241 |
| 109 | 72128 | 104980.810954421 | -32852.810954421 |
| 110 | 71571 | 85599.9643660831 | -14028.9643660831 |
| 111 | 71154 | 93444.3369646215 | -22290.3369646215 |
| 112 | 70168 | 91605.4346641183 | -21437.4346641183 |
| 113 | 69867 | 96301.6118829119 | -26434.6118829119 |
| 114 | 69652 | 76544.7165191087 | -6892.71651910872 |
| 115 | 69446 | 92221.5005978837 | -22775.5005978837 |
| 116 | 68946 | 125494.522921489 | -56548.5229214892 |
| 117 | 68788 | 82220.1082002083 | -13432.1082002083 |
| 118 | 67150 | 101131.78847987 | -33981.7884798699 |
| 119 | 66485 | 92405.970550215 | -25920.9705502151 |
| 120 | 66089 | 77814.5311548049 | -11725.5311548049 |
| 121 | 65594 | 87409.0832664872 | -21815.0832664872 |
| 122 | 64593 | 82681.9624720186 | -18088.9624720186 |
| 123 | 64520 | 83417.758903144 | -18897.758903144 |
| 124 | 59938 | 91511.9219684856 | -31573.9219684856 |
| 125 | 59900 | 87832.6952141745 | -27932.6952141745 |
| 126 | 57224 | 73184.2799321691 | -15960.2799321691 |
| 127 | 56750 | 96182.8635839907 | -39432.8635839907 |
| 128 | 56622 | 56198.2144087853 | 423.785591214734 |
| 129 | 55918 | 86448.5349510695 | -30530.5349510695 |
| 130 | 52789 | 54942.0957188121 | -2153.09571881214 |
| 131 | 48029 | 72104.3017483995 | -24075.3017483996 |
| 132 | 45724 | 86914.1786001452 | -41190.1786001452 |
| 133 | 43929 | 84120.5790216179 | -40191.5790216179 |
| 134 | 43750 | 50617.5477584789 | -6867.54775847886 |
| 135 | 38692 | 77343.948129836 | -38651.948129836 |
| 136 | 37238 | 50556.9822842622 | -13318.9822842622 |
| 137 | 37110 | 78359.639255335 | -41249.639255335 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.0374175106835896 | 0.0748350213671792 | 0.96258248931641 |
| 9 | 0.00943940536479245 | 0.0188788107295849 | 0.990560594635208 |
| 10 | 0.00290762439257488 | 0.00581524878514976 | 0.997092375607425 |
| 11 | 0.000815759852176668 | 0.00163151970435334 | 0.999184240147823 |
| 12 | 0.00025875995643886 | 0.000517519912877719 | 0.999741240043561 |
| 13 | 0.000143659863870153 | 0.000287319727740306 | 0.99985634013613 |
| 14 | 4.0766805251142e-05 | 8.15336105022839e-05 | 0.999959233194749 |
| 15 | 2.45098865140294e-05 | 4.90197730280588e-05 | 0.999975490113486 |
| 16 | 3.66069102325043e-05 | 7.32138204650087e-05 | 0.999963393089767 |
| 17 | 0.000155531197338565 | 0.000311062394677129 | 0.999844468802661 |
| 18 | 0.000224016443203772 | 0.000448032886407543 | 0.999775983556796 |
| 19 | 0.000976437719137767 | 0.00195287543827553 | 0.999023562280862 |
| 20 | 0.000599568043359137 | 0.00119913608671827 | 0.999400431956641 |
| 21 | 0.00060361189132243 | 0.00120722378264486 | 0.999396388108678 |
| 22 | 0.00153647505180963 | 0.00307295010361925 | 0.99846352494819 |
| 23 | 0.00245468928527754 | 0.00490937857055509 | 0.997545310714722 |
| 24 | 0.00282394017925715 | 0.0056478803585143 | 0.997176059820743 |
| 25 | 0.00282020208262463 | 0.00564040416524927 | 0.997179797917375 |
| 26 | 0.00229793121076818 | 0.00459586242153635 | 0.997702068789232 |
| 27 | 0.00274961070427189 | 0.00549922140854377 | 0.997250389295728 |
| 28 | 0.0044031495199205 | 0.00880629903984101 | 0.99559685048008 |
| 29 | 0.0047340402314788 | 0.0094680804629576 | 0.995265959768521 |
| 30 | 0.00802827609781311 | 0.0160565521956262 | 0.991971723902187 |
| 31 | 0.00737005498187955 | 0.0147401099637591 | 0.99262994501812 |
| 32 | 0.00864728348357502 | 0.01729456696715 | 0.991352716516425 |
| 33 | 0.00987889608424452 | 0.019757792168489 | 0.990121103915755 |
| 34 | 0.00847878594630055 | 0.0169575718926011 | 0.991521214053699 |
| 35 | 0.00953289280311099 | 0.019065785606222 | 0.990467107196889 |
| 36 | 0.0161481563344759 | 0.0322963126689518 | 0.983851843665524 |
| 37 | 0.0304973037904589 | 0.0609946075809179 | 0.969502696209541 |
| 38 | 0.0429328459595128 | 0.0858656919190256 | 0.957067154040487 |
| 39 | 0.106913540468222 | 0.213827080936444 | 0.893086459531778 |
| 40 | 0.124445024772999 | 0.248890049545998 | 0.875554975227001 |
| 41 | 0.186042751794493 | 0.372085503588986 | 0.813957248205507 |
| 42 | 0.239621436305782 | 0.479242872611565 | 0.760378563694218 |
| 43 | 0.343599552594608 | 0.687199105189215 | 0.656400447405392 |
| 44 | 0.422224373690475 | 0.844448747380951 | 0.577775626309525 |
| 45 | 0.525912272779758 | 0.948175454440483 | 0.474087727220242 |
| 46 | 0.588965571907505 | 0.822068856184991 | 0.411034428092495 |
| 47 | 0.682084661006759 | 0.635830677986482 | 0.317915338993241 |
| 48 | 0.766966065949857 | 0.466067868100286 | 0.233033934050143 |
| 49 | 0.827707135155129 | 0.344585729689743 | 0.172292864844872 |
| 50 | 0.833612685222111 | 0.332774629555778 | 0.166387314777889 |
| 51 | 0.856930761452187 | 0.286138477095625 | 0.143069238547813 |
| 52 | 0.921556527430317 | 0.156886945139366 | 0.0784434725696829 |
| 53 | 0.931888943986587 | 0.136222112026826 | 0.0681110560134129 |
| 54 | 0.958088634335065 | 0.0838227313298709 | 0.0419113656649355 |
| 55 | 0.961162306228492 | 0.0776753875430157 | 0.0388376937715078 |
| 56 | 0.979864191327488 | 0.0402716173450239 | 0.0201358086725119 |
| 57 | 0.984160164532044 | 0.0316796709359115 | 0.0158398354679557 |
| 58 | 0.987961844119053 | 0.0240763117618947 | 0.0120381558809473 |
| 59 | 0.990905673069392 | 0.0181886538612153 | 0.00909432693060764 |
| 60 | 0.994958100221355 | 0.0100837995572896 | 0.0050418997786448 |
| 61 | 0.996862111593474 | 0.00627577681305174 | 0.00313788840652587 |
| 62 | 0.998445167162123 | 0.00310966567575343 | 0.00155483283787671 |
| 63 | 0.998550441039235 | 0.00289911792152952 | 0.00144955896076476 |
| 64 | 0.999066016107383 | 0.00186796778523378 | 0.000933983892616888 |
| 65 | 0.999523809862478 | 0.00095238027504357 | 0.000476190137521785 |
| 66 | 0.999733538661358 | 0.000532922677283116 | 0.000266461338641558 |
| 67 | 0.999788327842465 | 0.000423344315070219 | 0.000211672157535109 |
| 68 | 0.999822956900771 | 0.000354086198457982 | 0.000177043099228991 |
| 69 | 0.999853383282334 | 0.000293233435332344 | 0.000146616717666172 |
| 70 | 0.999863263230136 | 0.00027347353972746 | 0.00013673676986373 |
| 71 | 0.999870921832229 | 0.000258156335542002 | 0.000129078167771001 |
| 72 | 0.999878237793083 | 0.000243524413833239 | 0.00012176220691662 |
| 73 | 0.999869214755727 | 0.000261570488546344 | 0.000130785244273172 |
| 74 | 0.999933721900727 | 0.000132556198546446 | 6.62780992732232e-05 |
| 75 | 0.999959642026385 | 8.07159472297145e-05 | 4.03579736148573e-05 |
| 76 | 0.999965932077138 | 6.81358457232764e-05 | 3.40679228616382e-05 |
| 77 | 0.999967253409947 | 6.54931801062198e-05 | 3.27465900531099e-05 |
| 78 | 0.999983326459327 | 3.33470813466193e-05 | 1.66735406733097e-05 |
| 79 | 0.999987291416684 | 2.54171666323578e-05 | 1.27085833161789e-05 |
| 80 | 0.999998636099074 | 2.72780185108645e-06 | 1.36390092554323e-06 |
| 81 | 0.999998696245966 | 2.60750806769616e-06 | 1.30375403384808e-06 |
| 82 | 0.999998846542646 | 2.30691470892675e-06 | 1.15345735446337e-06 |
| 83 | 0.999998618022794 | 2.76395441270464e-06 | 1.38197720635232e-06 |
| 84 | 0.999999301978801 | 1.39604239813339e-06 | 6.98021199066697e-07 |
| 85 | 0.999999230682191 | 1.53863561897328e-06 | 7.69317809486638e-07 |
| 86 | 0.999999191592063 | 1.61681587480528e-06 | 8.0840793740264e-07 |
| 87 | 0.99999927521303 | 1.44957394028987e-06 | 7.24786970144935e-07 |
| 88 | 0.999999717412423 | 5.65175154476889e-07 | 2.82587577238444e-07 |
| 89 | 0.999999735279114 | 5.29441772920055e-07 | 2.64720886460028e-07 |
| 90 | 0.999999689968162 | 6.20063675174608e-07 | 3.10031837587304e-07 |
| 91 | 0.999999948553305 | 1.02893389129679e-07 | 5.14466945648395e-08 |
| 92 | 0.9999999238086 | 1.52382800733927e-07 | 7.61914003669636e-08 |
| 93 | 0.99999989703095 | 2.05938099662609e-07 | 1.02969049831305e-07 |
| 94 | 0.999999898478379 | 2.03043241276795e-07 | 1.01521620638398e-07 |
| 95 | 0.999999843080843 | 3.13838313583508e-07 | 1.56919156791754e-07 |
| 96 | 0.999999812235776 | 3.75528447513814e-07 | 1.87764223756907e-07 |
| 97 | 0.999999913085494 | 1.73829011249825e-07 | 8.69145056249127e-08 |
| 98 | 0.999999916556506 | 1.66886987975045e-07 | 8.34434939875225e-08 |
| 99 | 0.999999938078103 | 1.23843794272114e-07 | 6.19218971360572e-08 |
| 100 | 0.999999902172305 | 1.95655390845495e-07 | 9.78276954227476e-08 |
| 101 | 0.999999939159248 | 1.21681503430511e-07 | 6.08407517152555e-08 |
| 102 | 0.999999923752197 | 1.52495605949743e-07 | 7.62478029748715e-08 |
| 103 | 0.999999839151841 | 3.21696318705397e-07 | 1.60848159352699e-07 |
| 104 | 0.999999748343929 | 5.03312142845778e-07 | 2.51656071422889e-07 |
| 105 | 0.999999512180694 | 9.75638612004848e-07 | 4.87819306002424e-07 |
| 106 | 0.999999152551408 | 1.69489718358012e-06 | 8.4744859179006e-07 |
| 107 | 0.999999429884829 | 1.14023034155315e-06 | 5.70115170776576e-07 |
| 108 | 0.999999729141252 | 5.41717495216446e-07 | 2.70858747608223e-07 |
| 109 | 0.999999478137011 | 1.04372597855877e-06 | 5.21862989279387e-07 |
| 110 | 0.99999919079507 | 1.61840986067845e-06 | 8.09204930339226e-07 |
| 111 | 0.999998407637134 | 3.18472573287742e-06 | 1.59236286643871e-06 |
| 112 | 0.999997278790499 | 5.44241900273399e-06 | 2.72120950136699e-06 |
| 113 | 0.999994781830103 | 1.0436339793022e-05 | 5.21816989651098e-06 |
| 114 | 0.99999276051897 | 1.4478962059252e-05 | 7.23948102962599e-06 |
| 115 | 0.99998773469015 | 2.45306197008701e-05 | 1.2265309850435e-05 |
| 116 | 0.99997442275802 | 5.11544839610011e-05 | 2.55772419805006e-05 |
| 117 | 0.999966910873037 | 6.61782539268816e-05 | 3.30891269634408e-05 |
| 118 | 0.999924799174881 | 0.000150401650238597 | 7.52008251192983e-05 |
| 119 | 0.99984884814855 | 0.00030230370290078 | 0.00015115185145039 |
| 120 | 0.999792592696395 | 0.000414814607210105 | 0.000207407303605052 |
| 121 | 0.999710758273108 | 0.000578483453783678 | 0.000289241726891839 |
| 122 | 0.999650619568716 | 0.000698760862567042 | 0.000349380431283521 |
| 123 | 0.999736075937795 | 0.000527848124409075 | 0.000263924062204537 |
| 124 | 0.999306198449312 | 0.00138760310137609 | 0.000693801550688047 |
| 125 | 0.998405882897957 | 0.00318823420408656 | 0.00159411710204328 |
| 126 | 0.996049458045299 | 0.00790108390940127 | 0.00395054195470063 |
| 127 | 0.992091982991166 | 0.0158160340176687 | 0.00790801700883437 |
| 128 | 0.98463834659147 | 0.0307233068170602 | 0.0153616534085301 |
| 129 | 0.990803832487209 | 0.0183923350255818 | 0.00919616751279088 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 86 | 0.704918032786885 | NOK |
| 5% type I error level | 102 | 0.836065573770492 | NOK |
| 10% type I error level | 107 | 0.877049180327869 | NOK |
