| Multiple Linear Regression - Estimated Regression Equation |
| Time[t] = + 30055.5656108834 + 0.372130215953135Characters[t] + 407.897725678418Revisions[t] + 1598.937186184Blogs[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) | 30055.5656108834 | 22512.879508 | 1.335 | 0.18757 | 0.093785 |
| Characters | 0.372130215953135 | 0.330168 | 1.1271 | 0.264779 | 0.13239 |
| Revisions | 407.897725678418 | 1031.632954 | 0.3954 | 0.694142 | 0.347071 |
| Blogs | 1598.937186184 | 299.973604 | 5.3303 | 2e-06 | 1e-06 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.809624106487988 |
| R-squared | 0.655491193806473 |
| Adjusted R-squared | 0.635990695342689 |
| F-TEST (value) | 33.6140737645154 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 53 |
| p-value | 2.62023736041783e-12 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 49744.132313675 |
| Sum Squared Residuals | 131147371080.941 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 210907 | 210393.176388069 | 513.823611930698 |
| 2 | 120982 | 165766.491218353 | -44784.4912183533 |
| 3 | 176508 | 172424.490298375 | 4083.50970162456 |
| 4 | 179321 | 252634.686432053 | -73313.686432053 |
| 5 | 123185 | 131652.524913003 | -8467.52491300259 |
| 6 | 52746 | 66153.3147921758 | -13407.3147921758 |
| 7 | 385534 | 278075.631678834 | 107458.368321166 |
| 8 | 33170 | 47483.8356945221 | -14313.8356945221 |
| 9 | 101645 | 72899.4962184626 | 28745.5037815374 |
| 10 | 149061 | 152647.061192574 | -3586.06119257357 |
| 11 | 165446 | 172027.399595998 | -6581.39959599848 |
| 12 | 237213 | 194907.055744681 | 42305.9442553194 |
| 13 | 173326 | 212193.772166613 | -38867.7721666131 |
| 14 | 133131 | 134152.255143911 | -1021.25514391127 |
| 15 | 258873 | 242596.58509329 | 16276.4149067103 |
| 16 | 180083 | 164698.203793697 | 15384.7962063026 |
| 17 | 324799 | 338204.048066551 | -13405.0480665511 |
| 18 | 230964 | 255184.044391716 | -24220.0443917158 |
| 19 | 236785 | 203582.704888222 | 33202.2951117779 |
| 20 | 135473 | 207630.977937225 | -72157.9779372248 |
| 21 | 202925 | 271334.11550551 | -68409.1155055104 |
| 22 | 215147 | 243092.78169048 | -27945.7816904799 |
| 23 | 344297 | 195383.569906049 | 148913.430093951 |
| 24 | 153935 | 144594.120108419 | 9340.87989158051 |
| 25 | 132943 | 214958.059421044 | -82015.059421044 |
| 26 | 174724 | 266312.025669534 | -91588.0256695341 |
| 27 | 174415 | 190217.701459116 | -15802.7014591158 |
| 28 | 225548 | 203965.573603587 | 21582.4263964127 |
| 29 | 223632 | 238441.34381745 | -14809.3438174498 |
| 30 | 124817 | 126837.501649084 | -2020.50164908362 |
| 31 | 221698 | 240383.491414509 | -18685.4914145092 |
| 32 | 210767 | 238349.195020666 | -27582.195020666 |
| 33 | 170266 | 145080.747173516 | 25185.2528264836 |
| 34 | 260561 | 263433.826305332 | -2872.82630533245 |
| 35 | 84853 | 125953.748206416 | -41100.7482064156 |
| 36 | 294424 | 252371.453617906 | 42052.5463820938 |
| 37 | 101011 | 93585.9816840506 | 7425.01831594936 |
| 38 | 215641 | 177402.536794649 | 38238.4632053512 |
| 39 | 325107 | 208528.90243149 | 116578.09756851 |
| 40 | 7176 | 30585.1069081847 | -23409.1069081847 |
| 41 | 167542 | 156452.709821712 | 11089.2901782883 |
| 42 | 106408 | 100097.240156492 | 6310.7598435075 |
| 43 | 96560 | 112702.695213203 | -16142.6952132026 |
| 44 | 265769 | 227538.470516713 | 38230.5294832872 |
| 45 | 269651 | 237868.40003635 | 31782.59996365 |
| 46 | 149112 | 156415.372657941 | -7303.3726579408 |
| 47 | 175824 | 144235.171333337 | 31588.8286666627 |
| 48 | 152871 | 165544.223127663 | -12673.2231276627 |
| 49 | 111665 | 122371.058247681 | -10706.0582476806 |
| 50 | 116408 | 126960.800798363 | -10552.8007983634 |
| 51 | 362301 | 202919.804222142 | 159381.195777858 |
| 52 | 78800 | 84931.8554955661 | -6131.85549556613 |
| 53 | 183167 | 222307.152502201 | -39140.1525022014 |
| 54 | 277965 | 281596.107367615 | -3631.10736761535 |
| 55 | 150629 | 206068.514195076 | -55439.5141950755 |
| 56 | 168809 | 189886.057484636 | -21077.0574846363 |
| 57 | 24188 | 46692.8287879902 | -22504.8287879902 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.88153524447169 | 0.23692951105662 | 0.11846475552831 |
| 8 | 0.788437874568131 | 0.423124250863737 | 0.211562125431869 |
| 9 | 0.683993000790975 | 0.632013998418051 | 0.316006999209025 |
| 10 | 0.57532935877397 | 0.84934128245206 | 0.42467064122603 |
| 11 | 0.450951596624537 | 0.901903193249075 | 0.549048403375463 |
| 12 | 0.505188017647908 | 0.989623964704183 | 0.494811982352092 |
| 13 | 0.425991269997244 | 0.851982539994488 | 0.574008730002756 |
| 14 | 0.328890614004905 | 0.65778122800981 | 0.671109385995095 |
| 15 | 0.252014610405247 | 0.504029220810494 | 0.747985389594753 |
| 16 | 0.190257362827706 | 0.380514725655412 | 0.809742637172294 |
| 17 | 0.140762067769947 | 0.281524135539893 | 0.859237932230053 |
| 18 | 0.110073295006391 | 0.220146590012783 | 0.889926704993609 |
| 19 | 0.0906311832742999 | 0.1812623665486 | 0.9093688167257 |
| 20 | 0.162852889973388 | 0.325705779946775 | 0.837147110026612 |
| 21 | 0.207626319444604 | 0.415252638889208 | 0.792373680555396 |
| 22 | 0.163852655085603 | 0.327705310171206 | 0.836147344914397 |
| 23 | 0.723295527571324 | 0.553408944857352 | 0.276704472428676 |
| 24 | 0.650070977366828 | 0.699858045266344 | 0.349929022633172 |
| 25 | 0.754791060280661 | 0.490417879438678 | 0.245208939719339 |
| 26 | 0.878821093709889 | 0.242357812580223 | 0.121178906290111 |
| 27 | 0.841496877722053 | 0.317006244555894 | 0.158503122277947 |
| 28 | 0.795985545420953 | 0.408028909158094 | 0.204014454579047 |
| 29 | 0.743678675073369 | 0.512642649853263 | 0.256321324926631 |
| 30 | 0.67423024418576 | 0.651539511628479 | 0.32576975581424 |
| 31 | 0.620819884808472 | 0.758360230383056 | 0.379180115191528 |
| 32 | 0.608001618211185 | 0.783996763577629 | 0.391998381788815 |
| 33 | 0.558621966522001 | 0.882756066955998 | 0.441378033477999 |
| 34 | 0.49087912880641 | 0.981758257612819 | 0.50912087119359 |
| 35 | 0.468238624977076 | 0.936477249954152 | 0.531761375022924 |
| 36 | 0.41841749655613 | 0.83683499311226 | 0.58158250344387 |
| 37 | 0.338855656964421 | 0.677711313928841 | 0.661144343035579 |
| 38 | 0.299199512660646 | 0.598399025321292 | 0.700800487339354 |
| 39 | 0.628260349631267 | 0.743479300737466 | 0.371739650368733 |
| 40 | 0.565138189809325 | 0.869723620381351 | 0.434861810190675 |
| 41 | 0.477064406080827 | 0.954128812161653 | 0.522935593919173 |
| 42 | 0.381850942150481 | 0.763701884300962 | 0.618149057849519 |
| 43 | 0.294716371755566 | 0.589432743511132 | 0.705283628244434 |
| 44 | 0.243782599148127 | 0.487565198296254 | 0.756217400851873 |
| 45 | 0.238389817292272 | 0.476779634584545 | 0.761610182707728 |
| 46 | 0.164858173385053 | 0.329716346770105 | 0.835141826614947 |
| 47 | 0.18202393982882 | 0.364047879657641 | 0.81797606017118 |
| 48 | 0.142301087046538 | 0.284602174093077 | 0.857698912953462 |
| 49 | 0.0797396234567339 | 0.159479246913468 | 0.920260376543266 |
| 50 | 0.0972436595704849 | 0.19448731914097 | 0.902756340429515 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 0 | 0 | OK |
| 5% type I error level | 0 | 0 | OK |
| 10% type I error level | 0 | 0 | OK |
