| Multiple Linear Regression - Estimated Regression Equation |
| CompendiumCharacters[t] = + 169167.840728939 -17.9746996178906FbackMess[t] -20.5156753409222BloggedComputations[t] + 0.0377990995061771CompendiumSeconds[t] + 0.504113129442207CourseViews[t] -896.697469983949t + 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) | 169167.840728939 | 3017.556744 | 56.0612 | 0 | 0 |
| FbackMess | -17.9746996178906 | 14.149997 | -1.2703 | 0.20623 | 0.103115 |
| BloggedComputations | -20.5156753409222 | 16.550401 | -1.2396 | 0.217344 | 0.108672 |
| CompendiumSeconds | 0.0377990995061771 | 0.013827 | 2.7338 | 0.007128 | 0.003564 |
| CourseViews | 0.504113129442207 | 1.551151 | 0.325 | 0.745705 | 0.372852 |
| t | -896.697469983949 | 14.913658 | -60.1259 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.989545525068715 |
| R-squared | 0.979200346183519 |
| Adjusted R-squared | 0.978406466266859 |
| F-TEST (value) | 1233.43634929538 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 131 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 5363.24358532372 |
| Sum Squared Residuals | 3768134009.97259 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 197426 | 172716.991463763 | 24709.0085362366 |
| 2 | 187326 | 171977.935599724 | 15348.0644002758 |
| 3 | 184923 | 170331.869462255 | 14591.1305377454 |
| 4 | 183500 | 168279.277598429 | 15220.7224015712 |
| 5 | 176225 | 169212.46017793 | 7012.53982206956 |
| 6 | 169707 | 164620.336147314 | 5086.66385268649 |
| 7 | 169265 | 164566.679595534 | 4698.32040446557 |
| 8 | 167949 | 163540.314015227 | 4408.68598477337 |
| 9 | 165986 | 161329.751346811 | 4656.24865318887 |
| 10 | 165933 | 161202.404553422 | 4730.59544657786 |
| 11 | 165904 | 159507.034928552 | 6396.96507144785 |
| 12 | 160902 | 157789.347125333 | 3112.65287466678 |
| 13 | 160141 | 158884.74590964 | 1256.25409035972 |
| 14 | 156349 | 156786.41578017 | -437.415780170314 |
| 15 | 154771 | 152655.745875964 | 2115.2541240356 |
| 16 | 154451 | 155658.308759383 | -1207.30875938333 |
| 17 | 151911 | 155629.141523361 | -3718.14152336103 |
| 18 | 151715 | 154648.257448687 | -2933.25744868694 |
| 19 | 150491 | 154873.721260867 | -4382.72126086659 |
| 20 | 150047 | 147931.50990398 | 2115.49009602 |
| 21 | 149959 | 152081.402609295 | -2122.40260929541 |
| 22 | 149695 | 152151.996427619 | -2456.99642761886 |
| 23 | 147172 | 151156.412528462 | -3984.41252846157 |
| 24 | 146975 | 149081.158897551 | -2106.15889755142 |
| 25 | 146760 | 149137.073260491 | -2377.07326049135 |
| 26 | 144551 | 143229.25695315 | 1321.74304685013 |
| 27 | 144408 | 145528.118401154 | -1120.1184011541 |
| 28 | 144244 | 144798.672590216 | -554.672590215986 |
| 29 | 143592 | 143375.578883613 | 216.421116387402 |
| 30 | 140824 | 145249.148482605 | -4425.14848260494 |
| 31 | 140358 | 140615.653531506 | -257.653531506209 |
| 32 | 140015 | 140758.878169805 | -743.87816980513 |
| 33 | 139165 | 140960.786731899 | -1795.78673189885 |
| 34 | 136588 | 137789.581626357 | -1201.58162635683 |
| 35 | 135356 | 137126.098834676 | -1770.09883467577 |
| 36 | 134238 | 138815.064136126 | -4577.06413612611 |
| 37 | 134047 | 139226.590175295 | -5179.59017529514 |
| 38 | 131072 | 134400.718763445 | -3328.71876344472 |
| 39 | 128692 | 136338.781279793 | -7646.78127979284 |
| 40 | 127654 | 131625.169454939 | -3971.1694549386 |
| 41 | 126817 | 131702.65303817 | -4885.65303816996 |
| 42 | 126372 | 132603.311681509 | -6231.3116815086 |
| 43 | 125818 | 131275.793757786 | -5457.79375778572 |
| 44 | 125386 | 130304.48873965 | -4918.48873965049 |
| 45 | 125081 | 130402.158891928 | -5321.15889192751 |
| 46 | 124089 | 129101.462246602 | -5012.46224660172 |
| 47 | 123534 | 127047.483112908 | -3513.48311290848 |
| 48 | 120192 | 128072.984468145 | -7880.98446814522 |
| 49 | 119442 | 127230.255270918 | -7788.25527091831 |
| 50 | 118906 | 122334.959697969 | -3428.95969796916 |
| 51 | 117440 | 123733.067522641 | -6293.06752264062 |
| 52 | 116066 | 119940.016048219 | -3874.01604821929 |
| 53 | 114948 | 121438.41154377 | -6490.41154377029 |
| 54 | 114799 | 123077.244919394 | -8278.244919394 |
| 55 | 114360 | 119421.880379503 | -5061.88037950265 |
| 56 | 113344 | 122410.515675937 | -9066.51567593701 |
| 57 | 112431 | 118387.015812711 | -5956.0158127105 |
| 58 | 112302 | 118775.595845141 | -6473.59584514057 |
| 59 | 112098 | 115485.067484325 | -3387.06748432549 |
| 60 | 110529 | 119577.148606312 | -9048.14860631207 |
| 61 | 110459 | 114920.913735182 | -4461.91373518221 |
| 62 | 109432 | 113241.209245824 | -3809.20924582406 |
| 63 | 108535 | 113509.645477777 | -4974.64547777711 |
| 64 | 108146 | 110607.903437888 | -2461.90343788834 |
| 65 | 105079 | 111454.756625439 | -6375.75662543876 |
| 66 | 104978 | 111545.791796246 | -6567.79179624606 |
| 67 | 104767 | 109649.83332169 | -4882.83332168996 |
| 68 | 104581 | 108038.742545782 | -3457.74254578209 |
| 69 | 104128 | 108102.203969258 | -3974.20396925803 |
| 70 | 103925 | 107371.101247 | -3446.10124699959 |
| 71 | 103297 | 104005.595764003 | -708.595764002929 |
| 72 | 103129 | 106306.338607339 | -3177.33860733929 |
| 73 | 103037 | 105218.464464791 | -2181.46446479123 |
| 74 | 102812 | 104132.053917877 | -1320.05391787687 |
| 75 | 102153 | 100676.352287751 | 1476.64771224945 |
| 76 | 102070 | 99769.343255966 | 2300.65674403396 |
| 77 | 101629 | 102909.394145664 | -1280.39414566406 |
| 78 | 101382 | 101420.330617032 | -38.3306170320522 |
| 79 | 101047 | 98113.8771555591 | 2933.12284444096 |
| 80 | 100350 | 98102.4974799055 | 2247.50252009446 |
| 81 | 100087 | 97574.6257584156 | 2512.37424158436 |
| 82 | 100046 | 95921.9176284405 | 4124.0823715595 |
| 83 | 96125 | 93337.5747313899 | 2787.42526861007 |
| 84 | 95893 | 92996.2206873504 | 2896.77931264963 |
| 85 | 95676 | 94503.6363621669 | 1172.36363783307 |
| 86 | 93879 | 93667.127908909 | 211.872091091054 |
| 87 | 93487 | 92715.8111217186 | 771.188878281357 |
| 88 | 93473 | 93106.2647744421 | 366.735225557938 |
| 89 | 92622 | 90334.2162635075 | 2287.78373649251 |
| 90 | 92280 | 89308.0425871317 | 2971.9574128683 |
| 91 | 92059 | 87788.8569063561 | 4270.14309364389 |
| 92 | 89626 | 87440.0437085163 | 2185.95629148374 |
| 93 | 89506 | 87405.7714952365 | 2100.2285047635 |
| 94 | 89256 | 83989.8503463414 | 5266.14965365864 |
| 95 | 88977 | 83632.4830765732 | 5344.51692342681 |
| 96 | 86652 | 84079.5689178915 | 2572.43108210849 |
| 97 | 84601 | 83150.3401686086 | 1450.6598313914 |
| 98 | 83515 | 79630.9290585321 | 3884.07094146787 |
| 99 | 83248 | 79951.2978763675 | 3296.70212363248 |
| 100 | 83243 | 79965.8085366784 | 3277.19146332159 |
| 101 | 82317 | 80026.4085436257 | 2290.59145637434 |
| 102 | 81897 | 76215.7260927029 | 5681.27390729714 |
| 103 | 81625 | 74410.9821937935 | 7214.01780620645 |
| 104 | 81351 | 75157.0956326943 | 6193.90436730573 |
| 105 | 79756 | 75562.6245224517 | 4193.37547754831 |
| 106 | 79089 | 76032.6913583986 | 3056.30864160142 |
| 107 | 79011 | 72664.1481146603 | 6346.85188533971 |
| 108 | 76173 | 72448.2993318406 | 3724.70066815943 |
| 109 | 72128 | 72300.7852612658 | -172.785261265803 |
| 110 | 71571 | 69507.8833563577 | 2063.11664364229 |
| 111 | 71154 | 67644.2966097311 | 3509.70339026894 |
| 112 | 70168 | 69618.7463273873 | 549.253672612713 |
| 113 | 69867 | 68264.4488943122 | 1602.55110568778 |
| 114 | 69652 | 64550.9174854989 | 5101.08251450113 |
| 115 | 69446 | 67362.19596723 | 2083.80403276995 |
| 116 | 68946 | 66644.0303237784 | 2301.96967622161 |
| 117 | 68788 | 64193.3054284276 | 4594.69457157238 |
| 118 | 67150 | 63661.8791703409 | 3488.12082965912 |
| 119 | 66485 | 63198.5269179454 | 3286.47308205463 |
| 120 | 66089 | 60793.6823482107 | 5295.31765178931 |
| 121 | 65594 | 61675.4420199751 | 3918.55798002492 |
| 122 | 64593 | 59613.5948486128 | 4979.40515138715 |
| 123 | 64520 | 57125.4689683282 | 7394.53103167185 |
| 124 | 59938 | 56176.8417950413 | 3761.15820495874 |
| 125 | 59900 | 57475.3900119313 | 2424.60998806868 |
| 126 | 57224 | 56812.1772022966 | 411.822797703438 |
| 127 | 56750 | 56447.6477495764 | 302.352250423609 |
| 128 | 56622 | 55229.16438682 | 1392.83561318001 |
| 129 | 55918 | 53537.0364983211 | 2380.96350167887 |
| 130 | 52789 | 50986.537620977 | 1802.46237902297 |
| 131 | 48029 | 52289.8147578711 | -4260.81475787107 |
| 132 | 45724 | 49808.1775295266 | -4084.17752952655 |
| 133 | 43929 | 50911.1768818162 | -6982.17688181616 |
| 134 | 43750 | 48443.1717291196 | -4693.17172911956 |
| 135 | 38692 | 48642.181328884 | -9950.18132888403 |
| 136 | 37238 | 45746.8085363459 | -8508.80853634594 |
| 137 | 37110 | 45725.0522834743 | -8615.05228347432 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.566092334491426 | 0.867815331017147 | 0.433907665508574 |
| 10 | 0.443630779601173 | 0.887261559202347 | 0.556369220398827 |
| 11 | 0.541816740155809 | 0.916366519688381 | 0.458183259844191 |
| 12 | 0.439805599672144 | 0.879611199344289 | 0.560194400327856 |
| 13 | 0.656406593668692 | 0.687186812662616 | 0.343593406331308 |
| 14 | 0.626478578802523 | 0.747042842394954 | 0.373521421197477 |
| 15 | 0.532670662721423 | 0.934658674557153 | 0.467329337278577 |
| 16 | 0.453851804295734 | 0.907703608591468 | 0.546148195704266 |
| 17 | 0.377356658397652 | 0.754713316795304 | 0.622643341602348 |
| 18 | 0.34232885612856 | 0.684657712257119 | 0.65767114387144 |
| 19 | 0.265535828251895 | 0.531071656503791 | 0.734464171748105 |
| 20 | 0.613749219005165 | 0.77250156198967 | 0.386250780994835 |
| 21 | 0.636325366134639 | 0.727349267730723 | 0.363674633865361 |
| 22 | 0.594028364506971 | 0.811943270986058 | 0.405971635493029 |
| 23 | 0.52197017350212 | 0.95605965299576 | 0.47802982649788 |
| 24 | 0.490814653221891 | 0.981629306443781 | 0.509185346778109 |
| 25 | 0.523107437386415 | 0.95378512522717 | 0.476892562613585 |
| 26 | 0.76579807925658 | 0.468403841486841 | 0.23420192074342 |
| 27 | 0.758223001482373 | 0.483553997035254 | 0.241776998517627 |
| 28 | 0.741634500809281 | 0.516730998381438 | 0.258365499190719 |
| 29 | 0.790463905056818 | 0.419072189886365 | 0.209536094943182 |
| 30 | 0.750303101631509 | 0.499393796736981 | 0.249696898368491 |
| 31 | 0.83112462575983 | 0.337750748480341 | 0.16887537424017 |
| 32 | 0.868969058759926 | 0.262061882480147 | 0.131030941240074 |
| 33 | 0.889493821688928 | 0.221012356622144 | 0.110506178311072 |
| 34 | 0.911853670592185 | 0.17629265881563 | 0.0881463294078149 |
| 35 | 0.904738868211102 | 0.190522263577796 | 0.0952611317888979 |
| 36 | 0.883935384501407 | 0.232129230997185 | 0.116064615498593 |
| 37 | 0.85664982416019 | 0.28670035167962 | 0.14335017583981 |
| 38 | 0.833505998673907 | 0.332988002652187 | 0.166494001326093 |
| 39 | 0.825158640352028 | 0.349682719295944 | 0.174841359647972 |
| 40 | 0.805731774266888 | 0.388536451466224 | 0.194268225733112 |
| 41 | 0.766062077598833 | 0.467875844802334 | 0.233937922401167 |
| 42 | 0.729086070233516 | 0.541827859532968 | 0.270913929766484 |
| 43 | 0.683551825646051 | 0.632896348707899 | 0.316448174353949 |
| 44 | 0.650207893127626 | 0.699584213744748 | 0.349792106872374 |
| 45 | 0.604750142121285 | 0.790499715757431 | 0.395249857878715 |
| 46 | 0.577293818798781 | 0.845412362402438 | 0.422706181201219 |
| 47 | 0.579865399724602 | 0.840269200550796 | 0.420134600275398 |
| 48 | 0.54952501609385 | 0.9009499678123 | 0.45047498390615 |
| 49 | 0.523142105648215 | 0.953715788703569 | 0.476857894351785 |
| 50 | 0.605256915716711 | 0.789486168566577 | 0.394743084283289 |
| 51 | 0.605757739999398 | 0.788484520001204 | 0.394242260000602 |
| 52 | 0.600409856361422 | 0.799180287277155 | 0.399590143638578 |
| 53 | 0.633773270523926 | 0.732453458952148 | 0.366226729476074 |
| 54 | 0.604909326393331 | 0.790181347213339 | 0.395090673606669 |
| 55 | 0.580697175511755 | 0.83860564897649 | 0.419302824488245 |
| 56 | 0.583222281536567 | 0.833555436926865 | 0.416777718463433 |
| 57 | 0.602684470386047 | 0.794631059227906 | 0.397315529613953 |
| 58 | 0.652580844874392 | 0.694838310251216 | 0.347419155125608 |
| 59 | 0.687445017280707 | 0.625109965438587 | 0.312554982719293 |
| 60 | 0.697877461804096 | 0.604245076391807 | 0.302122538195904 |
| 61 | 0.716938803408428 | 0.566122393183145 | 0.283061196591572 |
| 62 | 0.749088827562536 | 0.501822344874927 | 0.250911172437464 |
| 63 | 0.752008466937235 | 0.49598306612553 | 0.247991533062765 |
| 64 | 0.798780652218035 | 0.40243869556393 | 0.201219347781965 |
| 65 | 0.813387736742089 | 0.373224526515821 | 0.186612263257911 |
| 66 | 0.834434114661149 | 0.331131770677701 | 0.16556588533885 |
| 67 | 0.868222834157743 | 0.263554331684513 | 0.131777165842257 |
| 68 | 0.905471403734849 | 0.189057192530303 | 0.0945285962651513 |
| 69 | 0.938807448262331 | 0.122385103475338 | 0.0611925517376689 |
| 70 | 0.962441828844269 | 0.075116342311462 | 0.037558171155731 |
| 71 | 0.982213577676823 | 0.0355728446463531 | 0.0177864223231766 |
| 72 | 0.988154415081695 | 0.0236911698366099 | 0.0118455849183049 |
| 73 | 0.99174015111739 | 0.0165196977652204 | 0.00825984888261022 |
| 74 | 0.994224854108942 | 0.0115502917821159 | 0.00577514589105793 |
| 75 | 0.997156335088314 | 0.00568732982337132 | 0.00284366491168566 |
| 76 | 0.998618377275187 | 0.0027632454496253 | 0.00138162272481265 |
| 77 | 0.998905498978491 | 0.00218900204301729 | 0.00109450102150865 |
| 78 | 0.998861727678393 | 0.00227654464321396 | 0.00113827232160698 |
| 79 | 0.999343783617709 | 0.00131243276458156 | 0.000656216382290778 |
| 80 | 0.999315102458479 | 0.0013697950830428 | 0.0006848975415214 |
| 81 | 0.999364812837678 | 0.00127037432464459 | 0.000635187162322297 |
| 82 | 0.999481558807159 | 0.00103688238568263 | 0.000518441192841316 |
| 83 | 0.99974759444721 | 0.00050481110558076 | 0.00025240555279038 |
| 84 | 0.999788017482849 | 0.000423965034302825 | 0.000211982517151412 |
| 85 | 0.999812934134389 | 0.000374131731221356 | 0.000187065865610678 |
| 86 | 0.999829746471915 | 0.000340507056170067 | 0.000170253528085034 |
| 87 | 0.999825657050536 | 0.000348685898927407 | 0.000174342949463703 |
| 88 | 0.999734068134637 | 0.00053186373072624 | 0.00026593186536312 |
| 89 | 0.999683836654241 | 0.000632326691517822 | 0.000316163345758911 |
| 90 | 0.999689335744723 | 0.000621328510553892 | 0.000310664255276946 |
| 91 | 0.999608349692272 | 0.000783300615456495 | 0.000391650307728248 |
| 92 | 0.999630938364396 | 0.000738123271207533 | 0.000369061635603767 |
| 93 | 0.999586571063759 | 0.00082685787248213 | 0.000413428936241065 |
| 94 | 0.999550854690898 | 0.000898290618203805 | 0.000449145309101902 |
| 95 | 0.999502432283396 | 0.000995135433208681 | 0.000497567716604341 |
| 96 | 0.999496558712004 | 0.00100688257599228 | 0.000503441287996141 |
| 97 | 0.999495002017629 | 0.00100999596474152 | 0.000504997982370758 |
| 98 | 0.999598681974617 | 0.000802636050766016 | 0.000401318025383008 |
| 99 | 0.999531661453455 | 0.000936677093090489 | 0.000468338546545245 |
| 100 | 0.999405556145274 | 0.00118888770945122 | 0.00059444385472561 |
| 101 | 0.999283429775396 | 0.00143314044920831 | 0.000716570224604154 |
| 102 | 0.999100206974785 | 0.00179958605042993 | 0.000899793025214966 |
| 103 | 0.998851207519025 | 0.00229758496194944 | 0.00114879248097472 |
| 104 | 0.998393939271932 | 0.00321212145613555 | 0.00160606072806778 |
| 105 | 0.99761687000564 | 0.00476625998871908 | 0.00238312999435954 |
| 106 | 0.996652085694293 | 0.00669582861141436 | 0.00334791430570718 |
| 107 | 0.994931300751368 | 0.0101373984972642 | 0.00506869924863208 |
| 108 | 0.992707736329478 | 0.0145845273410444 | 0.00729226367052219 |
| 109 | 0.992623270640121 | 0.0147534587197587 | 0.00737672935987933 |
| 110 | 0.993693069619507 | 0.0126138607609863 | 0.00630693038049313 |
| 111 | 0.995424666846131 | 0.00915066630773885 | 0.00457533315386943 |
| 112 | 0.997410730045933 | 0.00517853990813468 | 0.00258926995406734 |
| 113 | 0.99821953160323 | 0.00356093679354028 | 0.00178046839677014 |
| 114 | 0.999252404713746 | 0.00149519057250807 | 0.000747595286254037 |
| 115 | 0.999526414870678 | 0.000947170258644996 | 0.000473585129322498 |
| 116 | 0.999382528302397 | 0.00123494339520666 | 0.000617471697603329 |
| 117 | 0.999423652411418 | 0.00115269517716391 | 0.000576347588581956 |
| 118 | 0.999494751959917 | 0.0010104960801656 | 0.0005052480400828 |
| 119 | 0.999629780264888 | 0.000740439470224181 | 0.000370219735112091 |
| 120 | 0.9997352848045 | 0.000529430390999256 | 0.000264715195499628 |
| 121 | 0.99969709201887 | 0.000605815962258989 | 0.000302907981129494 |
| 122 | 0.999536847039578 | 0.00092630592084319 | 0.000463152960421595 |
| 123 | 0.998898437002716 | 0.00220312599456764 | 0.00110156299728382 |
| 124 | 0.998181337435425 | 0.00363732512915093 | 0.00181866256457546 |
| 125 | 0.994073965950949 | 0.011852068098103 | 0.00592603404905151 |
| 126 | 0.991950796440159 | 0.0160984071196822 | 0.00804920355984109 |
| 127 | 0.979046554853045 | 0.0419068902939106 | 0.0209534451469553 |
| 128 | 0.931469099818412 | 0.137061800363176 | 0.0685309001815882 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 46 | 0.383333333333333 | NOK |
| 5% type I error level | 57 | 0.475 | NOK |
| 10% type I error level | 58 | 0.483333333333333 | NOK |
