| Multiple Linear Regression - Estimated Regression Equation |
| Time[t] = + 2179.66595390253 + 20.1792870098907Pageviews[t] + 241.6616930135Logins[t] + 120.743250358834Compendiumviews[t] + 1008.53427140192reviewedcompendiums[t] + 0.322362846305828caracters[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) | 2179.66595390253 | 7485.246672 | 0.2912 | 0.771339 | 0.38567 |
| Pageviews | 20.1792870098907 | 15.282857 | 1.3204 | 0.188892 | 0.094446 |
| Logins | 241.6616930135 | 134.695304 | 1.7941 | 0.074981 | 0.03749 |
| Compendiumviews | 120.743250358834 | 39.40974 | 3.0638 | 0.002629 | 0.001314 |
| reviewedcompendiums | 1008.53427140192 | 425.787333 | 2.3686 | 0.01924 | 0.00962 |
| caracters | 0.322362846305828 | 0.16779 | 1.9212 | 0.056765 | 0.028383 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.907362007078289 |
| R-squared | 0.823305811889141 |
| Adjusted R-squared | 0.816903848551791 |
| F-TEST (value) | 128.602081659209 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 138 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 34688.5506210458 |
| Sum Squared Residuals | 166054785098.062 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 162687 | 161986.920636028 | 700.079363971536 |
| 2 | 201906 | 150221.187422525 | 51684.8125774754 |
| 3 | 7215 | 19556.2358901738 | -12341.2358901738 |
| 4 | 146367 | 192415.957337857 | -46048.9573378569 |
| 5 | 257045 | 301435.602567685 | -44390.6025676853 |
| 6 | 524450 | 528297.744930836 | -3847.74493083595 |
| 7 | 188294 | 159094.946517617 | 29199.0534823833 |
| 8 | 195674 | 151984.701897007 | 43689.2981029933 |
| 9 | 177020 | 174961.931433721 | 2058.06856627868 |
| 10 | 330194 | 261305.338517645 | 68888.6614823553 |
| 11 | 121844 | 176392.569323728 | -54548.5693237284 |
| 12 | 203938 | 204181.447117911 | -243.447117911301 |
| 13 | 113213 | 178829.312806532 | -65616.3128065324 |
| 14 | 220751 | 270231.868778398 | -49480.8687783982 |
| 15 | 172905 | 125499.804719684 | 47405.1952803161 |
| 16 | 156326 | 153674.763317029 | 2651.23668297119 |
| 17 | 145178 | 168794.847191879 | -23616.8471918787 |
| 18 | 89171 | 107851.893715136 | -18680.8937151365 |
| 19 | 172624 | 238068.166415638 | -65444.1664156382 |
| 20 | 39790 | 88902.6410599536 | -49112.6410599536 |
| 21 | 87927 | 107373.257279912 | -19446.2572799123 |
| 22 | 241285 | 243805.612311029 | -2520.61231102904 |
| 23 | 195820 | 171110.67647448 | 24709.3235255198 |
| 24 | 146946 | 194185.743042103 | -47239.7430421026 |
| 25 | 159763 | 171515.493451887 | -11752.493451887 |
| 26 | 207078 | 157071.566300234 | 50006.4336997665 |
| 27 | 212394 | 213237.462268096 | -843.462268095699 |
| 28 | 201536 | 144393.031812946 | 57142.9681870544 |
| 29 | 394662 | 273078.560711031 | 121583.439288969 |
| 30 | 217892 | 203677.812752279 | 14214.187247721 |
| 31 | 182286 | 145649.22978438 | 36636.7702156203 |
| 32 | 181740 | 145325.805434696 | 36414.1945653035 |
| 33 | 137978 | 203886.566503507 | -65908.5665035074 |
| 34 | 255929 | 269724.541751546 | -13795.541751546 |
| 35 | 236489 | 208014.806870439 | 28474.1931295608 |
| 36 | 0 | 2441.50693392595 | -2441.50693392595 |
| 37 | 230761 | 224490.014303874 | 6270.98569612583 |
| 38 | 132807 | 150714.774949393 | -17907.7749493934 |
| 39 | 157118 | 174945.571640761 | -17827.571640761 |
| 40 | 253254 | 224787.033867655 | 28466.9661323446 |
| 41 | 269329 | 209931.84881919 | 59397.1511808098 |
| 42 | 161273 | 184558.87640131 | -23285.8764013095 |
| 43 | 107181 | 130888.972958138 | -23707.9729581382 |
| 44 | 195891 | 206608.765227055 | -10717.7652270551 |
| 45 | 139667 | 138246.774696955 | 1420.22530304487 |
| 46 | 171101 | 126809.257292024 | 44291.7427079756 |
| 47 | 81407 | 94674.2796000412 | -13267.2796000412 |
| 48 | 247563 | 210170.524413885 | 37392.4755861148 |
| 49 | 239807 | 214424.429249945 | 25382.5707500553 |
| 50 | 172743 | 232705.18665462 | -59962.1866546202 |
| 51 | 48188 | 76367.8046687418 | -28179.8046687418 |
| 52 | 169355 | 153941.713369408 | 15413.2866305923 |
| 53 | 325322 | 223170.604163557 | 102151.395836443 |
| 54 | 241518 | 188631.466763355 | 52886.5332366445 |
| 55 | 195583 | 181067.28644315 | 14515.7135568503 |
| 56 | 159913 | 137371.391479461 | 22541.6085205392 |
| 57 | 220241 | 161523.658388234 | 58717.3416117662 |
| 58 | 101694 | 104267.879225462 | -2573.87922546235 |
| 59 | 157258 | 128707.176822397 | 28550.8231776029 |
| 60 | 202536 | 258637.181637156 | -56101.1816371562 |
| 61 | 173505 | 163017.648822435 | 10487.3511775646 |
| 62 | 150518 | 199880.977790552 | -49362.9777905517 |
| 63 | 141491 | 133077.515514766 | 8413.48448523446 |
| 64 | 125612 | 129032.763242162 | -3420.76324216245 |
| 65 | 166049 | 125120.061661352 | 40928.9383386482 |
| 66 | 124197 | 146108.04340674 | -21911.0434067405 |
| 67 | 195043 | 187792.103121751 | 7250.89687824886 |
| 68 | 138708 | 218218.715802274 | -79510.7158022736 |
| 69 | 116552 | 113173.086037767 | 3378.91396223252 |
| 70 | 31970 | 47379.8992702437 | -15409.8992702437 |
| 71 | 258158 | 251089.496319391 | 7068.50368060939 |
| 72 | 151194 | 135543.724583867 | 15650.275416133 |
| 73 | 135926 | 160770.846925627 | -24844.8469256273 |
| 74 | 119629 | 136645.981259771 | -17016.9812597707 |
| 75 | 171518 | 227946.197240641 | -56428.1972406414 |
| 76 | 108949 | 131937.42532457 | -22988.4253245704 |
| 77 | 183471 | 190255.937413603 | -6784.93741360348 |
| 78 | 159966 | 230513.031717238 | -70547.0317172383 |
| 79 | 93786 | 100737.184945103 | -6951.18494510292 |
| 80 | 84971 | 137078.381506863 | -52107.3815068633 |
| 81 | 88882 | 108338.318892115 | -19456.3188921147 |
| 82 | 304603 | 205940.62214366 | 98662.3778563404 |
| 83 | 75101 | 99308.6660530021 | -24207.6660530022 |
| 84 | 145043 | 142473.387607852 | 2569.61239214792 |
| 85 | 95827 | 113345.333687517 | -17518.3336875172 |
| 86 | 173924 | 164877.478605715 | 9046.5213942853 |
| 87 | 241957 | 249158.974728561 | -7201.97472856128 |
| 88 | 115367 | 120219.873985974 | -4852.87398597408 |
| 89 | 118408 | 138237.094137864 | -19829.0941378638 |
| 90 | 164078 | 160605.773953633 | 3472.22604636732 |
| 91 | 158931 | 181772.073681603 | -22841.0736816035 |
| 92 | 184139 | 208826.356383397 | -24687.3563833969 |
| 93 | 152856 | 128822.486042615 | 24033.5139573846 |
| 94 | 144014 | 144510.743197199 | -496.743197198671 |
| 95 | 62535 | 105835.875895916 | -43300.8758959164 |
| 96 | 245196 | 220081.109004041 | 25114.8909959591 |
| 97 | 199841 | 177221.201759797 | 22619.7982402028 |
| 98 | 19349 | 19933.5226050751 | -584.522605075149 |
| 99 | 247280 | 224373.670768156 | 22906.329231844 |
| 100 | 159408 | 208131.52578106 | -48723.5257810601 |
| 101 | 72128 | 66860.0673510743 | 5267.93264892566 |
| 102 | 104253 | 110094.133280249 | -5841.13328024895 |
| 103 | 151090 | 134973.408766281 | 16116.5912337192 |
| 104 | 137382 | 114898.613633282 | 22483.3863667185 |
| 105 | 87448 | 73700.5805957548 | 13747.4194042452 |
| 106 | 27676 | 60967.0609182575 | -33291.0609182575 |
| 107 | 165507 | 137692.968313203 | 27814.0316867973 |
| 108 | 132148 | 98051.6944735653 | 34096.3055264347 |
| 109 | 0 | 2179.66595390256 | -2179.66595390256 |
| 110 | 95778 | 130991.363769196 | -35213.3637691959 |
| 111 | 109001 | 120346.271459213 | -11345.2714592128 |
| 112 | 158833 | 137238.640330042 | 21594.3596699576 |
| 113 | 147690 | 134005.925356857 | 13684.0746431426 |
| 114 | 89887 | 106924.708304658 | -17037.708304658 |
| 115 | 3616 | 6652.36431076519 | -3036.36431076519 |
| 116 | 0 | 2179.66595390256 | -2179.66595390256 |
| 117 | 199005 | 118520.776193155 | 80484.2238068455 |
| 118 | 160930 | 186136.061431011 | -25206.0614310109 |
| 119 | 177948 | 183130.1724633 | -5182.1724633003 |
| 120 | 136061 | 105401.060146536 | 30659.9398534636 |
| 121 | 43410 | 59632.7778666119 | -16222.7778666119 |
| 122 | 184277 | 166094.335003306 | 18182.6649966942 |
| 123 | 108858 | 97832.5847577835 | 11025.4152422165 |
| 124 | 151030 | 189041.119387234 | -38011.1193872338 |
| 125 | 60493 | 70246.6483808239 | -9753.64838082395 |
| 126 | 19764 | 23757.7464795509 | -3993.74647955088 |
| 127 | 177559 | 152358.167628472 | 25200.8323715279 |
| 128 | 140281 | 116939.514995627 | 23341.4850043726 |
| 129 | 164249 | 167640.152812389 | -3391.15281238888 |
| 130 | 11796 | 21076.3039867078 | -9280.30398670776 |
| 131 | 10674 | 10316.7185798348 | 357.281420165152 |
| 132 | 151322 | 154804.119699872 | -3482.11969987168 |
| 133 | 6836 | 6068.71182569766 | 767.288174302338 |
| 134 | 174712 | 177297.820689231 | -2585.82068923054 |
| 135 | 5118 | 4476.64058951146 | 641.359410488536 |
| 136 | 40248 | 44586.011819904 | -4338.011819904 |
| 137 | 0 | 2179.66595390256 | -2179.66595390256 |
| 138 | 127628 | 116603.087070369 | 11024.9129296313 |
| 139 | 88837 | 116336.424920468 | -27499.4249204682 |
| 140 | 7131 | 8040.9027334462 | -909.902733446204 |
| 141 | 9056 | 27781.712058929 | -18725.712058929 |
| 142 | 87957 | 89213.7765767306 | -1256.77657673061 |
| 143 | 144470 | 115469.565443506 | 29000.4345564939 |
| 144 | 111408 | 117379.148599172 | -5971.14859917216 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.241020927704449 | 0.482041855408899 | 0.758979072295551 |
| 10 | 0.505703075672062 | 0.988593848655876 | 0.494296924327938 |
| 11 | 0.952918611615979 | 0.0941627767680425 | 0.0470813883840213 |
| 12 | 0.925907744976944 | 0.148184510046111 | 0.0740922550230557 |
| 13 | 0.900118351443898 | 0.199763297112203 | 0.0998816485561017 |
| 14 | 0.888917737250128 | 0.222164525499745 | 0.111082262749872 |
| 15 | 0.898024340472339 | 0.203951319055321 | 0.101975659527661 |
| 16 | 0.852792302080306 | 0.294415395839389 | 0.147207697919694 |
| 17 | 0.87930039773823 | 0.241399204523539 | 0.12069960226177 |
| 18 | 0.845338695176444 | 0.309322609647112 | 0.154661304823556 |
| 19 | 0.907881229510205 | 0.184237540979591 | 0.0921187704897954 |
| 20 | 0.940728632699664 | 0.118542734600672 | 0.0592713673003359 |
| 21 | 0.917089944232954 | 0.165820111534092 | 0.0829100557670461 |
| 22 | 0.887636943794773 | 0.224726112410454 | 0.112363056205227 |
| 23 | 0.904874364504672 | 0.190251270990657 | 0.0951256354953284 |
| 24 | 0.919185702523031 | 0.161628594953938 | 0.080814297476969 |
| 25 | 0.891697163718385 | 0.216605672563231 | 0.108302836281615 |
| 26 | 0.887317547513309 | 0.225364904973383 | 0.112682452486691 |
| 27 | 0.906440641049645 | 0.18711871790071 | 0.0935593589503551 |
| 28 | 0.957212376797828 | 0.0855752464043446 | 0.0427876232021723 |
| 29 | 0.998139639168484 | 0.00372072166303248 | 0.00186036083151624 |
| 30 | 0.997116452828552 | 0.00576709434289556 | 0.00288354717144778 |
| 31 | 0.99709154862173 | 0.0058169027565403 | 0.00290845137827015 |
| 32 | 0.996775407039187 | 0.00644918592162633 | 0.00322459296081317 |
| 33 | 0.999201833423571 | 0.00159633315285801 | 0.000798166576429005 |
| 34 | 0.998786794710814 | 0.00242641057837262 | 0.00121320528918631 |
| 35 | 0.998419665614348 | 0.00316066877130306 | 0.00158033438565153 |
| 36 | 0.997538854182861 | 0.00492229163427877 | 0.00246114581713938 |
| 37 | 0.996299966306234 | 0.0074000673875322 | 0.0037000336937661 |
| 38 | 0.994899479328191 | 0.0102010413436181 | 0.00510052067180906 |
| 39 | 0.993554275988795 | 0.0128914480224109 | 0.00644572401120543 |
| 40 | 0.99198747705497 | 0.0160250458900605 | 0.00801252294503023 |
| 41 | 0.995226194839006 | 0.00954761032198852 | 0.00477380516099426 |
| 42 | 0.994272591331031 | 0.0114548173379383 | 0.00572740866896916 |
| 43 | 0.994498094313985 | 0.0110038113720305 | 0.00550190568601524 |
| 44 | 0.992455045315952 | 0.015089909368097 | 0.00754495468404848 |
| 45 | 0.989303563450219 | 0.0213928730995617 | 0.0106964365497808 |
| 46 | 0.991671373255215 | 0.0166572534895708 | 0.00832862674478542 |
| 47 | 0.988724073375073 | 0.0225518532498536 | 0.0112759266249268 |
| 48 | 0.989099697285344 | 0.0218006054293125 | 0.0109003027146562 |
| 49 | 0.987002331613627 | 0.0259953367727468 | 0.0129976683863734 |
| 50 | 0.992752243870707 | 0.0144955122585869 | 0.00724775612929343 |
| 51 | 0.991699677517927 | 0.0166006449641461 | 0.00830032248207307 |
| 52 | 0.989147991235994 | 0.0217040175280124 | 0.0108520087640062 |
| 53 | 0.999365753723335 | 0.00126849255333015 | 0.000634246276665075 |
| 54 | 0.999662071057705 | 0.000675857884590694 | 0.000337928942295347 |
| 55 | 0.999511689518773 | 0.000976620962453461 | 0.000488310481226731 |
| 56 | 0.999404344069791 | 0.00119131186041884 | 0.00059565593020942 |
| 57 | 0.999765030004093 | 0.000469939991814236 | 0.000234969995907118 |
| 58 | 0.999631934263234 | 0.000736131473531967 | 0.000368065736765983 |
| 59 | 0.999566508026401 | 0.000866983947198123 | 0.000433491973599061 |
| 60 | 0.999756406719226 | 0.000487186561546968 | 0.000243593280773484 |
| 61 | 0.999632320490459 | 0.000735359019081977 | 0.000367679509540988 |
| 62 | 0.999746934726216 | 0.000506130547567514 | 0.000253065273783757 |
| 63 | 0.999631550153837 | 0.000736899692325199 | 0.0003684498461626 |
| 64 | 0.999429773592806 | 0.00114045281438726 | 0.00057022640719363 |
| 65 | 0.999516382855346 | 0.000967234289307825 | 0.000483617144653913 |
| 66 | 0.999382977021583 | 0.00123404595683466 | 0.000617022978417328 |
| 67 | 0.99919022872868 | 0.00161954254263901 | 0.000809771271319503 |
| 68 | 0.999892721041849 | 0.000214557916302478 | 0.000107278958151239 |
| 69 | 0.999847921525432 | 0.000304156949136803 | 0.000152078474568402 |
| 70 | 0.999781222178015 | 0.000437555643970101 | 0.00021877782198505 |
| 71 | 0.999667820259149 | 0.000664359481701863 | 0.000332179740850931 |
| 72 | 0.999558480355802 | 0.000883039288396786 | 0.000441519644198393 |
| 73 | 0.999451824301724 | 0.0010963513965522 | 0.000548175698276101 |
| 74 | 0.999284528020451 | 0.00143094395909883 | 0.000715471979549413 |
| 75 | 0.99963692955347 | 0.000726140893060381 | 0.00036307044653019 |
| 76 | 0.999627569466012 | 0.0007448610679771 | 0.00037243053398855 |
| 77 | 0.999503244258976 | 0.00099351148204712 | 0.00049675574102356 |
| 78 | 0.999934282651811 | 0.000131434696378734 | 6.57173481893668e-05 |
| 79 | 0.999894780256837 | 0.000210439486325883 | 0.000105219743162942 |
| 80 | 0.999944292405235 | 0.000111415189530886 | 5.57075947654429e-05 |
| 81 | 0.999915960589728 | 0.000168078820543873 | 8.40394102719367e-05 |
| 82 | 0.999999560299116 | 8.79401767784886e-07 | 4.39700883892443e-07 |
| 83 | 0.999999567224497 | 8.65551005931279e-07 | 4.3277550296564e-07 |
| 84 | 0.999999157372372 | 1.68525525635015e-06 | 8.42627628175073e-07 |
| 85 | 0.999998863657778 | 2.272684443398e-06 | 1.136342221699e-06 |
| 86 | 0.999997876561298 | 4.24687740317898e-06 | 2.12343870158949e-06 |
| 87 | 0.999996739791655 | 6.52041669014012e-06 | 3.26020834507006e-06 |
| 88 | 0.999995893907234 | 8.21218553124997e-06 | 4.10609276562498e-06 |
| 89 | 0.999994721711567 | 1.05565768658819e-05 | 5.27828843294093e-06 |
| 90 | 0.999991732928862 | 1.65341422769724e-05 | 8.26707113848619e-06 |
| 91 | 0.999986178024153 | 2.76439516945145e-05 | 1.38219758472573e-05 |
| 92 | 0.999985296962786 | 2.94060744275661e-05 | 1.4703037213783e-05 |
| 93 | 0.999981953672447 | 3.6092655105798e-05 | 1.8046327552899e-05 |
| 94 | 0.999969729212383 | 6.05415752339655e-05 | 3.02707876169828e-05 |
| 95 | 0.999975784185722 | 4.84316285567508e-05 | 2.42158142783754e-05 |
| 96 | 0.999963215896709 | 7.35682065812656e-05 | 3.67841032906328e-05 |
| 97 | 0.999954347638828 | 9.1304722343923e-05 | 4.56523611719615e-05 |
| 98 | 0.9999169654716 | 0.000166069056800476 | 8.30345284002382e-05 |
| 99 | 0.999909456865049 | 0.000181086269903003 | 9.05431349515017e-05 |
| 100 | 0.999966979616299 | 6.60407674019428e-05 | 3.30203837009714e-05 |
| 101 | 0.999938809990409 | 0.000122380019181109 | 6.11900095905543e-05 |
| 102 | 0.999891622189262 | 0.000216755621475687 | 0.000108377810737843 |
| 103 | 0.999815770237509 | 0.00036845952498219 | 0.000184229762491095 |
| 104 | 0.999713020402138 | 0.000573959195724204 | 0.000286979597862102 |
| 105 | 0.999540051477679 | 0.000919897044641948 | 0.000459948522320974 |
| 106 | 0.999767483167819 | 0.000465033664362482 | 0.000232516832181241 |
| 107 | 0.999709101225111 | 0.000581797549777754 | 0.000290898774888877 |
| 108 | 0.999672689683921 | 0.000654620632157713 | 0.000327310316078857 |
| 109 | 0.999406020650939 | 0.00118795869812154 | 0.000593979349060772 |
| 110 | 0.999288887417651 | 0.00142222516469717 | 0.000711112582348587 |
| 111 | 0.998903283346933 | 0.00219343330613406 | 0.00109671665306703 |
| 112 | 0.998362361135364 | 0.00327527772927196 | 0.00163763886463598 |
| 113 | 0.997539102872309 | 0.00492179425538158 | 0.00246089712769079 |
| 114 | 0.997147987432227 | 0.00570402513554617 | 0.00285201256777308 |
| 115 | 0.995112611141311 | 0.00977477771737769 | 0.00488738885868884 |
| 116 | 0.991822853390009 | 0.0163542932199826 | 0.00817714660999132 |
| 117 | 0.999854619866008 | 0.000290760267984789 | 0.000145380133992395 |
| 118 | 0.999972446502147 | 5.51069957069413e-05 | 2.75534978534707e-05 |
| 119 | 0.999983693079516 | 3.26138409680476e-05 | 1.63069204840238e-05 |
| 120 | 0.999987224454473 | 2.55510910531982e-05 | 1.27755455265991e-05 |
| 121 | 0.99997311686449 | 5.37662710203379e-05 | 2.68831355101689e-05 |
| 122 | 0.999929519518456 | 0.000140960963087987 | 7.04804815439933e-05 |
| 123 | 0.999819889659006 | 0.000360220681988101 | 0.000180110340994051 |
| 124 | 0.999966880298766 | 6.6239402467578e-05 | 3.3119701233789e-05 |
| 125 | 0.999943451329177 | 0.000113097341646283 | 5.65486708231413e-05 |
| 126 | 0.999830730384883 | 0.000338539230233762 | 0.000169269615116881 |
| 127 | 0.999748134839992 | 0.000503730320015047 | 0.000251865160007524 |
| 128 | 0.999753005969023 | 0.000493988061954964 | 0.000246994030977482 |
| 129 | 0.999285691849406 | 0.0014286163011876 | 0.000714308150593802 |
| 130 | 0.998055338135619 | 0.00388932372876235 | 0.00194466186438117 |
| 131 | 0.994269147095023 | 0.0114617058099543 | 0.00573085290497713 |
| 132 | 0.987776865408121 | 0.0244462691837575 | 0.0122231345918788 |
| 133 | 0.96913880098762 | 0.0617223980247599 | 0.0308611990123799 |
| 134 | 0.935343423348325 | 0.12931315330335 | 0.0646565766516751 |
| 135 | 0.862381584975073 | 0.275236830049853 | 0.137618415024927 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 87 | 0.68503937007874 | NOK |
| 5% type I error level | 104 | 0.818897637795276 | NOK |
| 10% type I error level | 107 | 0.84251968503937 | NOK |
