| Multiple Linear Regression - Estimated Regression Equation |
| Time[t] = + 2846.51349094432 -8.21319320552047Pageviews[t] + 271.029500060642Logins[t] + 115.773053168956CompendiumViews[t] + 41.7978019564796`CompendiumViews(PRonly)`[t] -1103.30633844618Shared[t] + 427.173628546359Blogs[t] -567.292958123243Reviews[t] + 116.490231472011Submits[t] + 394.702617299329`Submits(+120)`[t] + 0.0360322101919795Characters[t] -2.76330124660822`CW:Revisions`[t] + 1.14546709406017`CW:seconds`[t] + 1219.43310435183`CW:Hyperlinks`[t] -1474.33200711726`CW:blogs`[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) | 2846.51349094432 | 4243.014938 | 0.6709 | 0.503502 | 0.251751 |
| Pageviews | -8.21319320552047 | 12.137059 | -0.6767 | 0.499806 | 0.249903 |
| Logins | 271.029500060642 | 101.126137 | 2.6801 | 0.00832 | 0.00416 |
| CompendiumViews | 115.773053168956 | 28.248298 | 4.0984 | 7.3e-05 | 3.7e-05 |
| `CompendiumViews(PRonly)` | 41.7978019564796 | 57.458907 | 0.7274 | 0.468276 | 0.234138 |
| Shared | -1103.30633844618 | 876.290776 | -1.2591 | 0.210281 | 0.10514 |
| Blogs | 427.173628546359 | 182.629626 | 2.339 | 0.020871 | 0.010436 |
| Reviews | -567.292958123243 | 1207.082946 | -0.47 | 0.63917 | 0.319585 |
| Submits | 116.490231472011 | 364.274174 | 0.3198 | 0.749647 | 0.374823 |
| `Submits(+120)` | 394.702617299329 | 171.030047 | 2.3078 | 0.022603 | 0.011301 |
| Characters | 0.0360322101919795 | 0.123793 | 0.2911 | 0.771466 | 0.385733 |
| `CW:Revisions` | -2.76330124660822 | 0.796301 | -3.4702 | 0.000708 | 0.000354 |
| `CW:seconds` | 1.14546709406017 | 0.142603 | 8.0326 | 0 | 0 |
| `CW:Hyperlinks` | 1219.43310435183 | 968.381481 | 1.2592 | 0.210214 | 0.105107 |
| `CW:blogs` | -1474.33200711726 | 998.707931 | -1.4762 | 0.142317 | 0.071158 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.950900796511658 |
| R-squared | 0.904212324806506 |
| Adjusted R-squared | 0.8938167631576 |
| F-TEST (value) | 86.9806130101332 |
| F-TEST (DF numerator) | 14 |
| F-TEST (DF denominator) | 129 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 19256.8532667884 |
| Sum Squared Residuals | 47836605308.2818 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 127476 | 108742.573154655 | 18733.4268453454 |
| 2 | 130358 | 134072.293639497 | -3714.29363949661 |
| 3 | 7215 | 15120.1782345378 | -7905.17823453776 |
| 4 | 112861 | 123350.933196255 | -10489.9331962551 |
| 5 | 210171 | 223263.68861867 | -13092.6886186698 |
| 6 | 393802 | 410850.327322275 | -17048.3273222749 |
| 7 | 117604 | 124656.662161862 | -7052.66216186155 |
| 8 | 126029 | 134934.728360656 | -8905.72836065642 |
| 9 | 99729 | 98614.609176278 | 1114.39082372209 |
| 10 | 256310 | 217646.201282999 | 38663.7987170009 |
| 11 | 113066 | 124296.06819569 | -11230.06819569 |
| 12 | 156212 | 141137.948632016 | 15074.0513679835 |
| 13 | 69952 | 103034.020034245 | -33082.0200342449 |
| 14 | 152673 | 170842.966568347 | -18169.9665683468 |
| 15 | 125841 | 105279.461610365 | 20561.5383896352 |
| 16 | 125769 | 136772.517411399 | -11003.517411399 |
| 17 | 123467 | 107711.779107789 | 15755.2208922112 |
| 18 | 56232 | 52442.8745674338 | 3789.12543256618 |
| 19 | 108244 | 136358.822752606 | -28114.8227526058 |
| 20 | 22762 | 40083.0661879098 | -17321.0661879098 |
| 21 | 48554 | 72093.06474559 | -23539.06474559 |
| 22 | 178697 | 173744.599514405 | 4952.40048559485 |
| 23 | 139115 | 115533.330074655 | 23581.6699253453 |
| 24 | 93773 | 112610.052548644 | -18837.0525486442 |
| 25 | 132796 | 150299.406590468 | -17503.4065904684 |
| 26 | 113933 | 97917.97230595 | 16015.02769405 |
| 27 | 144781 | 153682.481924375 | -8901.48192437499 |
| 28 | 140711 | 147445.763319801 | -6734.76331980117 |
| 29 | 283337 | 228524.910307469 | 54812.0896925314 |
| 30 | 158146 | 149792.073351418 | 8353.92664858193 |
| 31 | 123344 | 106299.87257169 | 17044.1274283098 |
| 32 | 157640 | 142574.417438987 | 15065.5825610125 |
| 33 | 91279 | 113574.466479729 | -22295.4664797287 |
| 34 | 189374 | 172709.543199625 | 16664.4568003747 |
| 35 | 167915 | 161694.390711434 | 6220.60928856639 |
| 36 | 0 | 3109.32979779947 | -3109.32979779947 |
| 37 | 175403 | 166377.081151472 | 9025.91884852846 |
| 38 | 92342 | 95106.1057225732 | -2764.10572257322 |
| 39 | 100023 | 93088.5353414885 | 6934.4646585115 |
| 40 | 178277 | 213773.035529797 | -35496.0355297972 |
| 41 | 145062 | 124698.945965077 | 20363.054034923 |
| 42 | 110980 | 120397.332254631 | -9417.33225463105 |
| 43 | 86039 | 90520.5797268426 | -4481.57972684258 |
| 44 | 119514 | 146101.777501793 | -26587.777501793 |
| 45 | 95535 | 84296.5029787877 | 11238.4970212123 |
| 46 | 109894 | 85270.1157436464 | 24623.8842563536 |
| 47 | 61554 | 56012.8423611032 | 5541.15763889684 |
| 48 | 156520 | 136455.757696865 | 20064.2423031347 |
| 49 | 159121 | 150107.813265799 | 9013.18673420115 |
| 50 | 129362 | 140925.775455644 | -11563.7754556436 |
| 51 | 48188 | 56297.0829617419 | -8109.08296174194 |
| 52 | 91198 | 83092.0341043828 | 8105.9658956172 |
| 53 | 229864 | 183444.637032886 | 46419.3629671142 |
| 54 | 180317 | 137725.578033609 | 42591.4219663914 |
| 55 | 150640 | 157388.025710569 | -6748.02571056855 |
| 56 | 104416 | 101684.370956394 | 2731.62904360589 |
| 57 | 159645 | 116637.803702202 | 43007.1962977984 |
| 58 | 60368 | 61789.8565534696 | -1421.85655346963 |
| 59 | 100056 | 111737.817819074 | -11681.8178190744 |
| 60 | 137214 | 123746.597032402 | 13467.4029675982 |
| 61 | 99630 | 100943.31313658 | -1313.31313657959 |
| 62 | 84557 | 125332.523129451 | -40775.5231294512 |
| 63 | 91199 | 78529.4863962065 | 12669.5136037935 |
| 64 | 83419 | 101655.933789869 | -18236.9337898685 |
| 65 | 101723 | 102335.153043774 | -612.153043773784 |
| 66 | 94982 | 118760.748648396 | -23778.7486483956 |
| 67 | 129700 | 167896.05047231 | -38196.0504723104 |
| 68 | 110708 | 146338.185362657 | -35630.1853626566 |
| 69 | 81518 | 86059.7198765192 | -4541.7198765192 |
| 70 | 31970 | 33148.1441567272 | -1178.14415672722 |
| 71 | 192268 | 178225.074777449 | 14042.9252225508 |
| 72 | 87611 | 82417.4649304377 | 5193.53506956231 |
| 73 | 77890 | 91704.6695591499 | -13814.6695591499 |
| 74 | 83261 | 78846.3235238642 | 4414.67647613582 |
| 75 | 116290 | 136927.0908243 | -20637.0908243005 |
| 76 | 55254 | 61880.3666157136 | -6626.36661571362 |
| 77 | 116173 | 130685.369771608 | -14512.3697716083 |
| 78 | 111488 | 184673.23944866 | -73185.2394486601 |
| 79 | 60138 | 66820.2247147614 | -6682.22471476137 |
| 80 | 73422 | 83863.4076964306 | -10441.4076964306 |
| 81 | 67751 | 70007.6384594595 | -2256.63845945954 |
| 82 | 213351 | 152755.09462988 | 60595.9053701201 |
| 83 | 51185 | 57290.7758381605 | -6105.7758381605 |
| 84 | 97181 | 102483.049359042 | -5302.0493590425 |
| 85 | 42311 | 55201.3228272878 | -12890.3228272878 |
| 86 | 115801 | 105806.44159259 | 9994.55840741 |
| 87 | 183637 | 165481.455598521 | 18155.5444014785 |
| 88 | 68161 | 86276.7340679613 | -18115.7340679613 |
| 89 | 76441 | 72736.9489311088 | 3704.0510688912 |
| 90 | 103613 | 109641.321467545 | -6028.32146754527 |
| 91 | 98707 | 108901.792052724 | -10194.792052724 |
| 92 | 126527 | 134303.097087336 | -7776.09708733649 |
| 93 | 136781 | 129868.416299789 | 6912.58370021064 |
| 94 | 105863 | 99744.7982522167 | 6118.20174778334 |
| 95 | 38775 | 49666.6180719454 | -10891.6180719454 |
| 96 | 179984 | 187546.413851485 | -7562.41385148506 |
| 97 | 164808 | 147349.694244083 | 17458.3057559172 |
| 98 | 19349 | 23270.9036859332 | -3921.90368593321 |
| 99 | 143902 | 126461.153480727 | 17440.846519273 |
| 100 | 108660 | 132014.92650165 | -23354.9265016498 |
| 101 | 43803 | 37882.4359259856 | 5920.56407401437 |
| 102 | 47062 | 63309.0888882926 | -16247.0888882926 |
| 103 | 110845 | 92178.021218626 | 18666.978781374 |
| 104 | 92517 | 79933.8626605316 | 12583.1373394684 |
| 105 | 58660 | 53816.7112748107 | 4843.2887251893 |
| 106 | 27676 | 37835.3782114952 | -10159.3782114952 |
| 107 | 98550 | 100897.436501568 | -2347.43650156758 |
| 108 | 43284 | 30693.8933933387 | 12590.1066066613 |
| 109 | 0 | 2846.51349094435 | -2846.51349094435 |
| 110 | 66016 | 67827.0850981753 | -1811.08509817525 |
| 111 | 57359 | 70457.3730559606 | -13098.3730559606 |
| 112 | 96933 | 103109.322803128 | -6176.32280312789 |
| 113 | 70369 | 92119.3003454765 | -21750.3003454765 |
| 114 | 65494 | 78074.571255126 | -12580.5712551261 |
| 115 | 3616 | 5390.84367536474 | -1774.84367536474 |
| 116 | 0 | 2846.51349094435 | -2846.51349094435 |
| 117 | 143931 | 105917.366421157 | 38013.6335788433 |
| 118 | 109894 | 120139.078334172 | -10245.0783341721 |
| 119 | 122973 | 116761.197616812 | 6211.80238318772 |
| 120 | 84336 | 88411.0655032072 | -4075.06550320722 |
| 121 | 43410 | 41850.848255825 | 1559.151744175 |
| 122 | 136250 | 140683.841165883 | -4433.8411658833 |
| 123 | 79015 | 72752.121032346 | 6262.87896765404 |
| 124 | 92937 | 93201.6650609654 | -264.665060965453 |
| 125 | 57586 | 41136.380403298 | 16449.619596702 |
| 126 | 19764 | 20133.0052809877 | -369.005280987649 |
| 127 | 105757 | 109426.513770299 | -3669.51377029853 |
| 128 | 96410 | 83026.144991221 | 13383.8550087791 |
| 129 | 113402 | 111844.571554378 | 1557.42844562185 |
| 130 | 11796 | 13868.0365556422 | -2072.03655564223 |
| 131 | 7627 | 7807.42128476221 | -180.421284762209 |
| 132 | 121085 | 103835.237849234 | 17249.7621507659 |
| 133 | 6836 | 4704.02163210564 | 2131.97836789436 |
| 134 | 139563 | 113797.041951359 | 25765.9580486413 |
| 135 | 5118 | 6186.95214019642 | -1068.95214019642 |
| 136 | 40248 | 33304.4615340351 | 6943.53846596488 |
| 137 | 0 | 2846.51349094435 | -2846.51349094435 |
| 138 | 95079 | 82330.5519746842 | 12748.4480253158 |
| 139 | 80750 | 65643.3699312436 | 15106.6300687564 |
| 140 | 7131 | 5287.92893865538 | 1843.07106134462 |
| 141 | 4194 | 7114.84715826596 | -2920.84715826596 |
| 142 | 60378 | 51917.744280328 | 8460.25571967202 |
| 143 | 96971 | 75186.6549664822 | 21784.3450335178 |
| 144 | 83484 | 95120.5797576593 | -11636.5797576593 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 18 | 0.899149266116444 | 0.201701467767112 | 0.100850733883556 |
| 19 | 0.83553159483705 | 0.328936810325902 | 0.164468405162951 |
| 20 | 0.742760025466088 | 0.514479949067824 | 0.257239974533912 |
| 21 | 0.642836215138392 | 0.714327569723216 | 0.357163784861608 |
| 22 | 0.750904368708175 | 0.49819126258365 | 0.249095631291825 |
| 23 | 0.827532082827885 | 0.344935834344229 | 0.172467917172115 |
| 24 | 0.778420886643968 | 0.443158226712064 | 0.221579113356032 |
| 25 | 0.713000361897164 | 0.573999276205671 | 0.286999638102836 |
| 26 | 0.648694375865987 | 0.702611248268027 | 0.351305624134013 |
| 27 | 0.575339822741942 | 0.849320354516117 | 0.424660177258058 |
| 28 | 0.49119719653132 | 0.98239439306264 | 0.50880280346868 |
| 29 | 0.801125247618598 | 0.397749504762803 | 0.198874752381402 |
| 30 | 0.749445132507694 | 0.501109734984612 | 0.250554867492306 |
| 31 | 0.71478429089245 | 0.570431418215099 | 0.28521570910755 |
| 32 | 0.668351485711997 | 0.663297028576007 | 0.331648514288004 |
| 33 | 0.629372552669478 | 0.741254894661044 | 0.370627447330522 |
| 34 | 0.589759716821993 | 0.820480566356014 | 0.410240283178007 |
| 35 | 0.525390918024687 | 0.949218163950626 | 0.474609081975313 |
| 36 | 0.456406700319583 | 0.912813400639166 | 0.543593299680417 |
| 37 | 0.487584913528921 | 0.975169827057842 | 0.512415086471079 |
| 38 | 0.423057720166553 | 0.846115440333105 | 0.576942279833447 |
| 39 | 0.362820168567938 | 0.725640337135876 | 0.637179831432062 |
| 40 | 0.78333183475621 | 0.433336330487579 | 0.21666816524379 |
| 41 | 0.833639095535877 | 0.332721808928245 | 0.166360904464123 |
| 42 | 0.801737792333456 | 0.396524415333089 | 0.198262207666544 |
| 43 | 0.760330126924681 | 0.479339746150638 | 0.239669873075319 |
| 44 | 0.789767129061067 | 0.420465741877866 | 0.210232870938933 |
| 45 | 0.777483005628668 | 0.445033988742663 | 0.222516994371332 |
| 46 | 0.821788673634089 | 0.356422652731822 | 0.178211326365911 |
| 47 | 0.798162826869593 | 0.403674346260814 | 0.201837173130407 |
| 48 | 0.798344874973795 | 0.40331025005241 | 0.201655125026205 |
| 49 | 0.763235588581044 | 0.473528822837912 | 0.236764411418956 |
| 50 | 0.727198671501011 | 0.545602656997978 | 0.272801328498989 |
| 51 | 0.691006103291833 | 0.617987793416334 | 0.308993896708167 |
| 52 | 0.646853305185499 | 0.706293389629003 | 0.353146694814501 |
| 53 | 0.839777273891702 | 0.320445452216597 | 0.160222726108298 |
| 54 | 0.92761397556838 | 0.144772048863241 | 0.0723860244316207 |
| 55 | 0.912364012063083 | 0.175271975873834 | 0.0876359879369168 |
| 56 | 0.890344243014437 | 0.219311513971125 | 0.109655756985563 |
| 57 | 0.953339834157293 | 0.0933203316854146 | 0.0466601658427073 |
| 58 | 0.939919132625836 | 0.120161734748327 | 0.0600808673741636 |
| 59 | 0.929613434637212 | 0.140773130725577 | 0.0703865653627884 |
| 60 | 0.916383953396305 | 0.167232093207391 | 0.0836160466036953 |
| 61 | 0.894952936339345 | 0.210094127321311 | 0.105047063660655 |
| 62 | 0.954643457379021 | 0.090713085241957 | 0.0453565426209785 |
| 63 | 0.94623175784378 | 0.107536484312442 | 0.053768242156221 |
| 64 | 0.942536869303716 | 0.114926261392569 | 0.0574631306962843 |
| 65 | 0.92568218184566 | 0.148635636308679 | 0.0743178181543394 |
| 66 | 0.932498825006554 | 0.135002349986893 | 0.0675011749934464 |
| 67 | 0.964898218954004 | 0.0702035620919914 | 0.0351017810459957 |
| 68 | 0.982170052173786 | 0.0356598956524276 | 0.0178299478262138 |
| 69 | 0.975830553296259 | 0.0483388934074828 | 0.0241694467037414 |
| 70 | 0.96718953461064 | 0.0656209307787176 | 0.0328104653893588 |
| 71 | 0.961620852092786 | 0.0767582958144287 | 0.0383791479072143 |
| 72 | 0.952225867981052 | 0.0955482640378961 | 0.0477741320189481 |
| 73 | 0.949053385465475 | 0.101893229069049 | 0.0509466145345245 |
| 74 | 0.934743059600983 | 0.130513880798033 | 0.0652569403990166 |
| 75 | 0.948171908614459 | 0.103656182771083 | 0.0518280913855414 |
| 76 | 0.946601879493969 | 0.106796241012063 | 0.0533981205060315 |
| 77 | 0.948125617008566 | 0.103748765982868 | 0.051874382991434 |
| 78 | 0.999986035108588 | 2.79297828239587e-05 | 1.39648914119793e-05 |
| 79 | 0.999974821557155 | 5.03568856890193e-05 | 2.51784428445097e-05 |
| 80 | 0.999962320500196 | 7.53589996080424e-05 | 3.76794998040212e-05 |
| 81 | 0.999938322478614 | 0.000123355042770965 | 6.16775213854826e-05 |
| 82 | 0.999999496822255 | 1.00635549069073e-06 | 5.03177745345366e-07 |
| 83 | 0.999999020172119 | 1.95965576211332e-06 | 9.7982788105666e-07 |
| 84 | 0.999998086791938 | 3.82641612369267e-06 | 1.91320806184633e-06 |
| 85 | 0.999996527294637 | 6.94541072674722e-06 | 3.47270536337361e-06 |
| 86 | 0.999994414517565 | 1.11709648702359e-05 | 5.58548243511794e-06 |
| 87 | 0.999991061736951 | 1.78765260972519e-05 | 8.93826304862595e-06 |
| 88 | 0.999991075683503 | 1.7848632993105e-05 | 8.9243164965525e-06 |
| 89 | 0.999982765398028 | 3.44692039433526e-05 | 1.72346019716763e-05 |
| 90 | 0.999967174013734 | 6.56519725320885e-05 | 3.28259862660442e-05 |
| 91 | 0.999965723698166 | 6.85526036686896e-05 | 3.42763018343448e-05 |
| 92 | 0.999981482693643 | 3.7034612713719e-05 | 1.85173063568595e-05 |
| 93 | 0.999965964566438 | 6.8070867124626e-05 | 3.4035433562313e-05 |
| 94 | 0.999952304766654 | 9.53904666911206e-05 | 4.76952333455603e-05 |
| 95 | 0.999924429317014 | 0.000151141365971078 | 7.55706829855392e-05 |
| 96 | 0.999967895101468 | 6.4209797064697e-05 | 3.21048985323485e-05 |
| 97 | 0.99996812365278 | 6.37526944418417e-05 | 3.18763472209208e-05 |
| 98 | 0.999936155643 | 0.000127688713999069 | 6.38443569995347e-05 |
| 99 | 0.999886480289758 | 0.000227039420483013 | 0.000113519710241506 |
| 100 | 0.999950552364235 | 9.88952715298368e-05 | 4.94476357649184e-05 |
| 101 | 0.99991888223184 | 0.000162235536320237 | 8.11177681601183e-05 |
| 102 | 0.99991979457918 | 0.000160410841640527 | 8.02054208202636e-05 |
| 103 | 0.99999473454373 | 1.05309125393663e-05 | 5.26545626968314e-06 |
| 104 | 0.999988112439622 | 2.37751207565567e-05 | 1.18875603782783e-05 |
| 105 | 0.999979431060962 | 4.1137878075771e-05 | 2.05689390378855e-05 |
| 106 | 0.999955701237544 | 8.859752491252e-05 | 4.429876245626e-05 |
| 107 | 0.999930762613674 | 0.000138474772652251 | 6.92373863261255e-05 |
| 108 | 0.999884979266921 | 0.000230041466157171 | 0.000115020733078585 |
| 109 | 0.999748266601873 | 0.000503466796254209 | 0.000251733398127105 |
| 110 | 0.999542409595798 | 0.000915180808403103 | 0.000457590404201551 |
| 111 | 0.999662633540866 | 0.000674732918266974 | 0.000337366459133487 |
| 112 | 0.9993274987703 | 0.00134500245940065 | 0.000672501229700324 |
| 113 | 0.999077712001052 | 0.00184457599789565 | 0.000922287998947823 |
| 114 | 0.999050564004578 | 0.0018988719908444 | 0.000949435995422202 |
| 115 | 0.997943841516718 | 0.0041123169665632 | 0.0020561584832816 |
| 116 | 0.99573472156016 | 0.00853055687967904 | 0.00426527843983952 |
| 117 | 0.99997536547181 | 4.926905637805e-05 | 2.4634528189025e-05 |
| 118 | 0.999988334569313 | 2.3330861374726e-05 | 1.1665430687363e-05 |
| 119 | 0.999994876923368 | 1.02461532631926e-05 | 5.12307663159628e-06 |
| 120 | 0.999977259739928 | 4.5480520144144e-05 | 2.2740260072072e-05 |
| 121 | 0.999906787449499 | 0.000186425101002595 | 9.32125505012976e-05 |
| 122 | 0.999960107236622 | 7.97855267557098e-05 | 3.98927633778549e-05 |
| 123 | 0.99980985684439 | 0.000380286311221958 | 0.000190143155610979 |
| 124 | 0.999860884245534 | 0.000278231508932269 | 0.000139115754466135 |
| 125 | 0.999739336616014 | 0.000521326767971572 | 0.000260663383985786 |
| 126 | 0.99830562325032 | 0.00338875349936089 | 0.00169437674968045 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 49 | 0.44954128440367 | NOK |
| 5% type I error level | 51 | 0.467889908256881 | NOK |
| 10% type I error level | 57 | 0.522935779816514 | NOK |
