| Multiple Linear Regression - Estimated Regression Equation |
| logins[t] = + 3.27564805414893 + 0.0422043797319851Pageviews[t] + 9.27285386436275e-05time[t] -0.0393256227915051compendiumviews[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) | 3.27564805414893 | 1.660579 | 1.9726 | 0.050512 | 0.025256 |
| Pageviews | 0.0422043797319851 | 0.007542 | 5.5956 | 0 | 0 |
| time | 9.27285386436275e-05 | 5.3e-05 | 1.7446 | 0.083241 | 0.041621 |
| compendiumviews | -0.0393256227915051 | 0.023268 | -1.6901 | 0.093232 | 0.046616 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.849475097951967 |
| R-squared | 0.721607942040504 |
| Adjusted R-squared | 0.715642397941372 |
| F-TEST (value) | 120.962636441744 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 140 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 10.4897206808577 |
| Sum Squared Residuals | 15404.7935947378 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 49 | 34.4968242335256 | 14.5031757664744 |
| 2 | 24 | 25.9245978089334 | -1.92459780893338 |
| 3 | 17 | 9.03828908219946 | 7.96171091780054 |
| 4 | 66 | 55.676778319674 | 10.323221680326 |
| 5 | 83 | 70.4191310856504 | 12.5808689143496 |
| 6 | 127 | 140.060369367178 | -13.0603693671779 |
| 7 | 33 | 32.8030026731311 | 0.196997326868872 |
| 8 | 30 | 30.1179013971995 | -0.117901397199462 |
| 9 | 32 | 46.8966473080202 | -14.8966473080202 |
| 10 | 63 | 70.4317485925915 | -7.43174859259155 |
| 11 | 34 | 34.5535306856079 | -0.553530685607939 |
| 12 | 43 | 48.2334716403064 | -5.23347164030644 |
| 13 | 67 | 32.3742987466733 | 34.6257012533267 |
| 14 | 59 | 56.7604021925679 | 2.23959780743214 |
| 15 | 24 | 30.5775884534479 | -6.57758845344791 |
| 16 | 38 | 33.7206818529329 | 4.2793181470671 |
| 17 | 32 | 36.9904827284697 | -4.99048272846967 |
| 18 | 20 | 15.0518997821019 | 4.94810021789813 |
| 19 | 54 | 58.1081938467631 | -4.10819384676307 |
| 20 | 13 | 16.7544801502483 | -3.75448015024828 |
| 21 | 35 | 23.8041720706436 | 11.1958279293564 |
| 22 | 49 | 51.0350156232503 | -2.03501562325025 |
| 23 | 27 | 24.7882338678712 | 2.21176613212882 |
| 24 | 30 | 43.2486138848564 | -13.2486138848564 |
| 25 | 50 | 41.558395468802 | 8.44160453119801 |
| 26 | 11 | 26.3343599375958 | -15.3343599375958 |
| 27 | 94 | 46.2640900497515 | 47.7359099502485 |
| 28 | 50 | 30.620394504193 | 19.379605495807 |
| 29 | 58 | 61.4299532931267 | -3.42995329312667 |
| 30 | 25 | 43.0461852856974 | -18.0461852856974 |
| 31 | 27 | 31.4712063675919 | -4.47120636759191 |
| 32 | 23 | 43.3185896378117 | -20.3185896378117 |
| 33 | 56 | 39.2375933605257 | 16.7624066394743 |
| 34 | 39 | 23.7984911386035 | 15.2015088613965 |
| 35 | 29 | 43.8099299121854 | -14.8099299121854 |
| 36 | 0 | 3.27564805414892 | -3.27564805414892 |
| 37 | 33 | 24.3857368547149 | 8.61426314528507 |
| 38 | 34 | 44.9783017075744 | -10.9783017075744 |
| 39 | 20 | 41.1365653078155 | -21.1365653078155 |
| 40 | 34 | 43.6153245724323 | -9.61532457243232 |
| 41 | 33 | 42.3410277362482 | -9.34102773624817 |
| 42 | 25 | 26.0567784995757 | -1.05677849957568 |
| 43 | 12 | 18.5357064472785 | -6.53570644727847 |
| 44 | 44 | 37.0960949289774 | 6.90390507102256 |
| 45 | 28 | 26.9921687888458 | 1.00783121115421 |
| 46 | 30 | 18.1901562963555 | 11.8098437036445 |
| 47 | 12 | 16.4077669958993 | -4.40776699589928 |
| 48 | 53 | 39.3517947328182 | 13.6482052671818 |
| 49 | 39 | 30.9491687931842 | 8.05083120681581 |
| 50 | 27 | 37.5675234103401 | -10.5675234103401 |
| 51 | 20 | 19.2755832770659 | 0.724416722934104 |
| 52 | 35 | 29.8344003076209 | 5.16559969237908 |
| 53 | 41 | 40.271659220923 | 0.72834077907695 |
| 54 | 43 | 37.7036775051881 | 5.29632249481193 |
| 55 | 32 | 37.1490173040088 | -5.14901730400879 |
| 56 | 29 | 36.1123133567285 | -7.11231335672846 |
| 57 | 24 | 30.591676175163 | -6.59167617516296 |
| 58 | 11 | 17.1260610366702 | -6.12606103667021 |
| 59 | 37 | 25.3347986181592 | 11.6652013818408 |
| 60 | 22 | 20.9656526938737 | 1.03434730612634 |
| 61 | 21 | 20.061226675545 | 0.938773324454987 |
| 62 | 34 | 27.8579253037064 | 6.14207469629364 |
| 63 | 19 | 22.247614113502 | -3.24761411350199 |
| 64 | 18 | 21.5527595317953 | -3.55275953179525 |
| 65 | 12 | 18.7002552242931 | -6.70025522429308 |
| 66 | 22 | 30.8701898675581 | -8.87018986755808 |
| 67 | 42 | 45.8072320458396 | -3.80723204583965 |
| 68 | 44 | 55.6888677544638 | -11.6888677544638 |
| 69 | 19 | 22.2135556070898 | -3.21355560708978 |
| 70 | 10 | 6.88520389360683 | 3.11479610639317 |
| 71 | 72 | 60.6601562391339 | 11.3398437608661 |
| 72 | 24 | 24.2779339091513 | -0.277933909151261 |
| 73 | 33 | 24.5888574590545 | 8.4111425409455 |
| 74 | 39 | 35.3719374026194 | 3.62806259738064 |
| 75 | 20 | 31.2081057588841 | -11.2081057588841 |
| 76 | 19 | 18.9796131234343 | 0.0203868765656765 |
| 77 | 27 | 29.4429550423495 | -2.44295504234948 |
| 78 | 38 | 33.9332951077607 | 4.06670489223927 |
| 79 | 13 | 18.1454958318903 | -5.14549583189031 |
| 80 | 34 | 22.9365881284322 | 11.0634118715678 |
| 81 | 29 | 21.4100294345046 | 7.58997056549538 |
| 82 | 26 | 27.9765366680699 | -1.97653666806992 |
| 83 | 15 | 22.5166907116863 | -7.51669071168629 |
| 84 | 19 | 31.3342412308768 | -12.3342412308768 |
| 85 | 25 | 20.8355642196701 | 4.16443578032993 |
| 86 | 28 | 34.3256285892517 | -6.32562858925174 |
| 87 | 108 | 57.384240645176 | 50.615759354824 |
| 88 | 25 | 18.2317931013489 | 6.76820689865114 |
| 89 | 22 | 18.384567651696 | 3.61543234830404 |
| 90 | 22 | 27.5665943878278 | -5.56659438782781 |
| 91 | 20 | 29.3242762008867 | -9.3242762008867 |
| 92 | 43 | 42.3027410760736 | 0.697258923926376 |
| 93 | 28 | 23.9609096369353 | 4.03909036306471 |
| 94 | 29 | 23.6602486489642 | 5.3397513510358 |
| 95 | 22 | 16.7712883123641 | 5.22871168763594 |
| 96 | 57 | 51.4751417181857 | 5.52485828181431 |
| 97 | 27 | 31.3950840171749 | -4.39508401717492 |
| 98 | 11 | 11.8044081218343 | -0.804408121834313 |
| 99 | 51 | 36.0052873616804 | 14.9947126383196 |
| 100 | 35 | 29.6670471635046 | 5.33295283649542 |
| 101 | 14 | 13.611353796061 | 0.388646203939008 |
| 102 | 11 | 18.0318961764369 | -7.03189617643692 |
| 103 | 36 | 25.6171295149754 | 10.3828704850246 |
| 104 | 21 | 15.2362149151315 | 5.76378508486852 |
| 105 | 19 | 18.269807240827 | 0.730192759173015 |
| 106 | 13 | 19.1306597668651 | -6.13065976686513 |
| 107 | 16 | 24.973391860821 | -8.97339186082104 |
| 108 | 16 | 14.5468208919444 | 1.45317910805558 |
| 109 | 0 | 3.27564805414892 | -3.27564805414892 |
| 110 | 12 | 24.4562751475658 | -12.4562751475658 |
| 111 | 31 | 19.5118002279103 | 11.4881997720897 |
| 112 | 12 | 27.2721405095175 | -15.2721405095175 |
| 113 | 33 | 26.8951876130645 | 6.10481238693553 |
| 114 | 40 | 20.2692573802871 | 19.7307426197129 |
| 115 | 4 | 5.12365273234506 | -1.12365273234506 |
| 116 | 0 | 3.27564805414892 | -3.27564805414892 |
| 117 | 24 | 29.4869353010467 | -5.48693530104666 |
| 118 | 26 | 24.5798775862646 | 1.42012241373536 |
| 119 | 47 | 37.7855835137929 | 9.21441648620715 |
| 120 | 20 | 18.624199445887 | 1.37580055411304 |
| 121 | 19 | 28.6529194930337 | -9.65291949303368 |
| 122 | 31 | 35.3660983418128 | -4.36609834181278 |
| 123 | 20 | 21.242305518181 | -1.24230551818105 |
| 124 | 21 | 26.6458904410967 | -5.64589044109669 |
| 125 | 18 | 22.3239602124263 | -4.3239602124263 |
| 126 | 9 | 11.6022526968708 | -2.60225269687081 |
| 127 | 17 | 27.6885563231326 | -10.6885563231326 |
| 128 | 14 | 22.6487018340812 | -8.64870183408119 |
| 129 | 14 | 25.9793897778532 | -11.9793897778532 |
| 130 | 9 | 12.0670709068484 | -3.06707090684843 |
| 131 | 8 | 6.37609842715504 | 1.62390157284496 |
| 132 | 28 | 25.7067887320595 | 2.29321126794052 |
| 133 | 3 | 5.20733806262159 | -2.20733806262159 |
| 134 | 14 | 18.7059043007713 | -4.70590430077129 |
| 135 | 3 | 5.28686292692135 | -2.28686292692135 |
| 136 | 13 | 15.1517392276288 | -2.15173922762882 |
| 137 | 0 | 3.27564805414892 | -3.27564805414892 |
| 138 | 17 | 17.0766629118022 | -0.076662911802206 |
| 139 | 10 | 11.3831186656474 | -1.38311866564742 |
| 140 | 4 | 6.29365820613678 | -2.29365820613678 |
| 141 | 11 | 5.68845998979031 | 5.31154001020969 |
| 142 | 9 | 14.6962335058677 | -5.69623350586768 |
| 143 | 10 | 12.1545990625898 | -2.15459906258983 |
| 144 | 8 | 19.0440287633207 | -11.0440287633207 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.214895830578014 | 0.429791661156028 | 0.785104169421986 |
| 8 | 0.126602945480199 | 0.253205890960398 | 0.873397054519801 |
| 9 | 0.531388728206674 | 0.937222543586652 | 0.468611271793326 |
| 10 | 0.419906820837588 | 0.839813641675176 | 0.580093179162412 |
| 11 | 0.316181860352884 | 0.632363720705769 | 0.683818139647116 |
| 12 | 0.263122167249191 | 0.526244334498382 | 0.736877832750809 |
| 13 | 0.59311521994585 | 0.813769560108301 | 0.40688478005415 |
| 14 | 0.65672275343971 | 0.686554493120581 | 0.34327724656029 |
| 15 | 0.60093000747089 | 0.79813998505822 | 0.39906999252911 |
| 16 | 0.515222427253826 | 0.969555145492347 | 0.484777572746174 |
| 17 | 0.449331368351873 | 0.898662736703746 | 0.550668631648127 |
| 18 | 0.372105228160186 | 0.744210456320373 | 0.627894771839814 |
| 19 | 0.47631032773305 | 0.9526206554661 | 0.52368967226695 |
| 20 | 0.47964329550984 | 0.95928659101968 | 0.52035670449016 |
| 21 | 0.429212312994727 | 0.858424625989454 | 0.570787687005273 |
| 22 | 0.360037895747097 | 0.720075791494195 | 0.639962104252903 |
| 23 | 0.300541394680363 | 0.601082789360726 | 0.699458605319637 |
| 24 | 0.397805668176519 | 0.795611336353038 | 0.602194331823481 |
| 25 | 0.348385976132562 | 0.696771952265124 | 0.651614023867438 |
| 26 | 0.458807414237991 | 0.917614828475983 | 0.541192585762009 |
| 27 | 0.99485831339353 | 0.010283373212939 | 0.00514168660646949 |
| 28 | 0.9984998447334 | 0.00300031053319774 | 0.00150015526659887 |
| 29 | 0.997817178810062 | 0.00436564237987628 | 0.00218282118993814 |
| 30 | 0.999516027240776 | 0.00096794551844746 | 0.00048397275922373 |
| 31 | 0.9993215873131 | 0.00135682537379899 | 0.000678412686899494 |
| 32 | 0.999814404282231 | 0.000371191435538111 | 0.000185595717769056 |
| 33 | 0.999879280232364 | 0.000241439535271768 | 0.000120719767635884 |
| 34 | 0.999905666471185 | 0.000188667057629641 | 9.43335288148205e-05 |
| 35 | 0.999948951507624 | 0.000102096984752408 | 5.10484923762038e-05 |
| 36 | 0.999928287158358 | 0.000143425683284638 | 7.1712841642319e-05 |
| 37 | 0.999908725505302 | 0.000182548989395931 | 9.12744946979657e-05 |
| 38 | 0.999926258841898 | 0.000147482316203308 | 7.3741158101654e-05 |
| 39 | 0.999990701221371 | 1.85975572569954e-05 | 9.2987786284977e-06 |
| 40 | 0.99999095077275 | 1.80984545008858e-05 | 9.0492272504429e-06 |
| 41 | 0.999991364554254 | 1.72708914917776e-05 | 8.6354457458888e-06 |
| 42 | 0.999985705665165 | 2.85886696701389e-05 | 1.42943348350694e-05 |
| 43 | 0.999980487924393 | 3.90241512140628e-05 | 1.95120756070314e-05 |
| 44 | 0.999975643786778 | 4.8712426443994e-05 | 2.4356213221997e-05 |
| 45 | 0.99995838759715 | 8.32248056983736e-05 | 4.16124028491868e-05 |
| 46 | 0.999963858962151 | 7.22820756971434e-05 | 3.61410378485717e-05 |
| 47 | 0.999946380988913 | 0.000107238022173661 | 5.36190110868304e-05 |
| 48 | 0.999958682117176 | 8.26357656487342e-05 | 4.13178828243671e-05 |
| 49 | 0.999947203373514 | 0.000105593252971893 | 5.27966264859465e-05 |
| 50 | 0.999951456698775 | 9.7086602449619e-05 | 4.85433012248095e-05 |
| 51 | 0.999919752802775 | 0.000160494394450029 | 8.02471972250146e-05 |
| 52 | 0.999876805362615 | 0.000246389274769926 | 0.000123194637384963 |
| 53 | 0.999804522420977 | 0.000390955158045671 | 0.000195477579022836 |
| 54 | 0.999715844183218 | 0.000568311633563352 | 0.000284155816781676 |
| 55 | 0.999608757424344 | 0.000782485151312571 | 0.000391242575656286 |
| 56 | 0.999542756340338 | 0.000914487319324008 | 0.000457243659662004 |
| 57 | 0.999479930921988 | 0.00104013815602331 | 0.000520069078011656 |
| 58 | 0.9993299854348 | 0.00134002913039846 | 0.000670014565199228 |
| 59 | 0.999371954666851 | 0.00125609066629738 | 0.000628045333148692 |
| 60 | 0.999100711719761 | 0.00179857656047733 | 0.000899288280238663 |
| 61 | 0.998652577942837 | 0.00269484411432623 | 0.00134742205716312 |
| 62 | 0.998586150026972 | 0.00282769994605571 | 0.00141384997302785 |
| 63 | 0.998004196881173 | 0.00399160623765425 | 0.00199580311882713 |
| 64 | 0.997275024439448 | 0.00544995112110462 | 0.00272497556055231 |
| 65 | 0.99681611882391 | 0.00636776235218203 | 0.00318388117609101 |
| 66 | 0.99659732498753 | 0.00680535002494049 | 0.00340267501247024 |
| 67 | 0.996179660575492 | 0.00764067884901621 | 0.00382033942450811 |
| 68 | 0.998003563158498 | 0.00399287368300333 | 0.00199643684150166 |
| 69 | 0.997335578784255 | 0.00532884243148966 | 0.00266442121574483 |
| 70 | 0.996454606875652 | 0.00709078624869685 | 0.00354539312434843 |
| 71 | 0.995967362742944 | 0.00806527451411239 | 0.00403263725705619 |
| 72 | 0.994257401110708 | 0.0114851977785839 | 0.00574259888929193 |
| 73 | 0.994284309723336 | 0.0114313805533286 | 0.00571569027666428 |
| 74 | 0.992052179651917 | 0.0158956406961666 | 0.00794782034808329 |
| 75 | 0.992828514290567 | 0.0143429714188657 | 0.00717148570943285 |
| 76 | 0.98998477975278 | 0.0200304404944392 | 0.0100152202472196 |
| 77 | 0.987040157296175 | 0.0259196854076504 | 0.0129598427038252 |
| 78 | 0.982875868312551 | 0.0342482633748972 | 0.0171241316874486 |
| 79 | 0.979170811154023 | 0.0416583776919548 | 0.0208291888459774 |
| 80 | 0.985429785392288 | 0.029140429215425 | 0.0145702146077125 |
| 81 | 0.981905308266674 | 0.0361893834666518 | 0.0180946917333259 |
| 82 | 0.975952842551843 | 0.0480943148963139 | 0.0240471574481569 |
| 83 | 0.973439183589471 | 0.0531216328210572 | 0.0265608164105286 |
| 84 | 0.9754641657289 | 0.0490716685422012 | 0.0245358342711006 |
| 85 | 0.969672047130078 | 0.060655905739843 | 0.0303279528699215 |
| 86 | 0.969358088885452 | 0.0612838222290951 | 0.0306419111145476 |
| 87 | 0.999984626564254 | 3.07468714910177e-05 | 1.53734357455089e-05 |
| 88 | 0.999981373152288 | 3.72536954248874e-05 | 1.86268477124437e-05 |
| 89 | 0.999971130303215 | 5.77393935706623e-05 | 2.88696967853311e-05 |
| 90 | 0.999957599769121 | 8.48004617578229e-05 | 4.24002308789114e-05 |
| 91 | 0.99995817375093 | 8.36524981376388e-05 | 4.18262490688194e-05 |
| 92 | 0.999926944794144 | 0.000146110411712679 | 7.30552058563396e-05 |
| 93 | 0.999891205451124 | 0.000217589097752735 | 0.000108794548876367 |
| 94 | 0.999850066187057 | 0.000299867625885665 | 0.000149933812942832 |
| 95 | 0.999798670090984 | 0.000402659818031943 | 0.000201329909015972 |
| 96 | 0.99972624244755 | 0.00054751510490056 | 0.00027375755245028 |
| 97 | 0.999575560315356 | 0.000848879369287041 | 0.000424439684643521 |
| 98 | 0.999307302959306 | 0.00138539408138797 | 0.000692697040693984 |
| 99 | 0.999775796104068 | 0.000448407791863428 | 0.000224203895931714 |
| 100 | 0.999762049535105 | 0.000475900929790684 | 0.000237950464895342 |
| 101 | 0.999607732212082 | 0.000784535575836668 | 0.000392267787918334 |
| 102 | 0.999453250964902 | 0.00109349807019561 | 0.000546749035097805 |
| 103 | 0.999685286605863 | 0.000629426788274075 | 0.000314713394137037 |
| 104 | 0.99961966782764 | 0.000760664344720486 | 0.000380332172360243 |
| 105 | 0.99936865737408 | 0.00126268525184168 | 0.000631342625920838 |
| 106 | 0.999060755369139 | 0.00187848926172229 | 0.000939244630861143 |
| 107 | 0.998885506014579 | 0.00222898797084255 | 0.00111449398542127 |
| 108 | 0.998209677124154 | 0.00358064575169221 | 0.00179032287584611 |
| 109 | 0.997183117310471 | 0.00563376537905757 | 0.00281688268952879 |
| 110 | 0.998014391733605 | 0.00397121653278925 | 0.00198560826639462 |
| 111 | 0.998999998165463 | 0.00200000366907379 | 0.00100000183453689 |
| 112 | 0.999579979499757 | 0.000840041000485085 | 0.000420020500242542 |
| 113 | 0.999505239367065 | 0.000989521265869024 | 0.000494760632934512 |
| 114 | 0.999998897540423 | 2.20491915424564e-06 | 1.10245957712282e-06 |
| 115 | 0.999997244706574 | 5.51058685187036e-06 | 2.75529342593518e-06 |
| 116 | 0.99999366365927 | 1.26726814620163e-05 | 6.33634073100813e-06 |
| 117 | 0.999985860916067 | 2.82781678666116e-05 | 1.41390839333058e-05 |
| 118 | 0.999987153023242 | 2.56939535168618e-05 | 1.28469767584309e-05 |
| 119 | 0.99999977489201 | 4.50215981443589e-07 | 2.25107990721794e-07 |
| 120 | 0.999999803810782 | 3.9237843639853e-07 | 1.96189218199265e-07 |
| 121 | 0.999999429516273 | 1.14096745310729e-06 | 5.70483726553645e-07 |
| 122 | 0.999998255182638 | 3.4896347241406e-06 | 1.7448173620703e-06 |
| 123 | 0.99999598725459 | 8.02549081804323e-06 | 4.01274540902161e-06 |
| 124 | 0.999989544410274 | 2.09111794518159e-05 | 1.0455589725908e-05 |
| 125 | 0.999970192033611 | 5.96159327775671e-05 | 2.98079663887835e-05 |
| 126 | 0.999914747395906 | 0.000170505208188254 | 8.52526040941272e-05 |
| 127 | 0.99979072609218 | 0.000418547815640686 | 0.000209273907820343 |
| 128 | 0.999789863924886 | 0.000420272150228797 | 0.000210136075114398 |
| 129 | 0.99985160652176 | 0.000296786956480886 | 0.000148393478240443 |
| 130 | 0.999538166733909 | 0.000923666532182287 | 0.000461833266091144 |
| 131 | 0.998908203391274 | 0.00218359321745303 | 0.00109179660872651 |
| 132 | 0.998524882853563 | 0.00295023429287487 | 0.00147511714643744 |
| 133 | 0.995613285640357 | 0.00877342871928619 | 0.00438671435964309 |
| 134 | 0.98850015669974 | 0.0229996866005214 | 0.0114998433002607 |
| 135 | 0.97415868075959 | 0.0516826384808187 | 0.0258413192404094 |
| 136 | 0.94498959562326 | 0.110020808753482 | 0.0550104043767408 |
| 137 | 0.893935122573572 | 0.212129754852855 | 0.106064877426428 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 91 | 0.694656488549618 | NOK |
| 5% type I error level | 105 | 0.801526717557252 | NOK |
| 10% type I error level | 109 | 0.83206106870229 | NOK |
