Multiple Linear Regression - Estimated Regression Equation |
#karakters[t] = + 4756.8833820852 -5.46229397763476`#PageViews`[t] -0.0262726162944823`#SecRFC`[t] + 13.7136095023838`#LogIns`[t] + 7.86854625667212`#CourseCompViews`[t] + 29.7875093642806`#CompViewsPR`[t] + 1504.55654642116`#shared`[t] -94.2701630724805`#Blogs`[t] -516.584847556815`#Reviews`[t] + 63.5788933917212`#FBMinPR`[t] + 196.296507055593`#FBMinPR+120`[t] + 1.53301556198176`#revisions`[t] + 0.267519141955098`#seconden`[t] + 180.043051007182`#hyperlinks`[t] + 25.963591897104`#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) | 4756.8833820852 | 6693.654093 | 0.7107 | 0.47858 | 0.23929 |
`#PageViews` | -5.46229397763476 | 11.050575 | -0.4943 | 0.621935 | 0.310968 |
`#SecRFC` | -0.0262726162944823 | 0.065742 | -0.3996 | 0.690087 | 0.345044 |
`#LogIns` | 13.7136095023838 | 63.057399 | 0.2175 | 0.828179 | 0.41409 |
`#CourseCompViews` | 7.86854625667212 | 22.534799 | 0.3492 | 0.727529 | 0.363764 |
`#CompViewsPR` | 29.7875093642806 | 69.450068 | 0.4289 | 0.668707 | 0.334354 |
`#shared` | 1504.55654642116 | 610.668743 | 2.4638 | 0.015065 | 0.007532 |
`#Blogs` | -94.2701630724805 | 98.706306 | -0.9551 | 0.341335 | 0.170668 |
`#Reviews` | -516.584847556815 | 1241.610679 | -0.4161 | 0.678057 | 0.339029 |
`#FBMinPR` | 63.5788933917212 | 339.625974 | 0.1872 | 0.851796 | 0.425898 |
`#FBMinPR+120` | 196.296507055593 | 115.115461 | 1.7052 | 0.090561 | 0.045281 |
`#revisions` | 1.53301556198176 | 0.317411 | 4.8297 | 4e-06 | 2e-06 |
`#seconden` | 0.267519141955098 | 0.087279 | 3.0651 | 0.002651 | 0.001325 |
`#hyperlinks` | 180.043051007182 | 495.969583 | 0.363 | 0.71719 | 0.358595 |
`#blogs` | 25.963591897104 | 514.888161 | 0.0504 | 0.959861 | 0.479931 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.881185316577205 |
R-squared | 0.776487562151269 |
Adjusted R-squared | 0.752230398353732 |
F-TEST (value) | 32.0106492511759 |
F-TEST (DF numerator) | 14 |
F-TEST (DF denominator) | 129 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 23445.4150756768 |
Sum Squared Residuals | 70909685961.1299 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 144244 | 80698.6093345551 | 63545.3906654449 |
2 | 197426 | 103862.309986486 | 93563.6900135135 |
3 | 86652 | 98747.3717104273 | -12095.3717104272 |
4 | 65594 | 73684.4613857643 | -8090.46138576434 |
5 | 101382 | 77839.2919564418 | 23542.7080435582 |
6 | 76173 | 52092.9851628626 | 24080.0148371374 |
7 | 124089 | 94107.7247634696 | 29981.2752365304 |
8 | 66089 | 46792.9600031422 | 19296.0399968578 |
9 | 22618 | 32708.337992593 | -10090.337992593 |
10 | 149695 | 133761.725353437 | 15933.2746465632 |
11 | 56622 | 40083.2905160173 | 16538.7094839827 |
12 | 150047 | 94793.9645122087 | 55253.0354877913 |
13 | 151911 | 133605.862549708 | 18305.137450292 |
14 | 25162 | 27816.6612447452 | -2654.66124474525 |
15 | 105079 | 100403.432805886 | 4675.5671941141 |
16 | 69446 | 77212.3366414535 | -7766.33664145348 |
17 | 136588 | 126435.60000969 | 10152.3999903097 |
18 | 128692 | 81813.8320497437 | 46878.1679502564 |
19 | 134047 | 126420.908912151 | 7626.09108784943 |
20 | 31701 | 35689.7102545076 | -3988.71025450761 |
21 | 43750 | 42246.5604027796 | 1503.43959722039 |
22 | 143592 | 115534.521077644 | 28057.478922356 |
23 | 100350 | 62319.4493937908 | 38030.5506062092 |
24 | 151715 | 136353.567029265 | 15361.432970735 |
25 | 113344 | 119906.274760482 | -6562.27476048243 |
26 | 279488 | 199724.894708246 | 79763.1052917541 |
27 | 125081 | 91813.8430026595 | 33267.1569973405 |
28 | 68788 | 69985.794939907 | -1197.79493990698 |
29 | 103037 | 100472.080143772 | 2564.91985622844 |
30 | 102153 | 77468.9795917727 | 24684.0204082273 |
31 | 147172 | 122138.192802184 | 25033.807197816 |
32 | 146760 | 138289.192715659 | 8470.80728434055 |
33 | 127654 | 105861.456369337 | 21792.5436306627 |
34 | 110459 | 104569.239876473 | 5889.76012352734 |
35 | 131072 | 109682.026858398 | 21389.9731416023 |
36 | 126817 | 86459.4946289894 | 40357.5053710106 |
37 | 108535 | 91713.7095080319 | 16821.2904919681 |
38 | 82317 | 78773.9177995152 | 3543.08220048484 |
39 | 57224 | 48661.0597264524 | 8562.94027354755 |
40 | 135356 | 108849.403027164 | 26506.5969728364 |
41 | 96125 | 97638.2618024076 | -1513.26180240756 |
42 | 1168 | 6154.36614853955 | -4986.36614853955 |
43 | 102070 | 93121.1202014985 | 8948.87979850145 |
44 | 118906 | 120286.988114024 | -1380.98811402428 |
45 | 59900 | 74911.9591294902 | -15011.9591294902 |
46 | 79011 | 85400.6673211999 | -6389.66732119988 |
47 | 103297 | 93248.7517418367 | 10048.2482581633 |
48 | 143372 | 113727.870798437 | 29644.1292015631 |
49 | 109432 | 85027.0791684416 | 24404.9208315584 |
50 | 167949 | 149115.643459176 | 18833.3565408241 |
51 | 8773 | 14966.2658301544 | -6193.26583015443 |
52 | 45724 | 63666.6459767902 | -17942.6459767902 |
53 | 149959 | 140403.883881173 | 9555.11611882654 |
54 | 81351 | 99952.7766869687 | -18601.7766869687 |
55 | 103129 | 114581.570689389 | -11452.570689389 |
56 | 154451 | 120672.61461818 | 33778.3853818202 |
57 | 88977 | 103795.909543444 | -14818.909543444 |
58 | 140824 | 136252.594478014 | 4571.40552198592 |
59 | 84601 | 82948.2130183607 | 1652.78698163933 |
60 | 169707 | 165026.525840095 | 4680.47415990476 |
61 | 187326 | 161221.55551789 | 26104.4444821098 |
62 | 156349 | 133935.096237045 | 22413.9037629546 |
63 | 108146 | 92945.8086487076 | 15200.1913512924 |
64 | 168553 | 151692.297768888 | 16860.7022311123 |
65 | 144408 | 123913.394878962 | 20494.6051210376 |
66 | 183500 | 156691.033856858 | 26808.9661431422 |
67 | 104128 | 119686.509661151 | -15558.5096611511 |
68 | 33032 | 40134.8862270963 | -7102.88622709629 |
69 | 43929 | 57257.4889843 | -13328.4889843 |
70 | 56750 | 67660.2621998815 | -10910.2621998815 |
71 | 126372 | 130172.601312483 | -3800.60131248299 |
72 | 160141 | 128969.275280945 | 31171.7247190548 |
73 | 71571 | 69917.6018558074 | 1653.39814419257 |
74 | 125818 | 114172.387108475 | 11645.6128915253 |
75 | 38692 | 58825.9219448834 | -20133.9219448834 |
76 | 95893 | 100508.640078954 | -4615.64007895429 |
77 | 67150 | 85512.7511280067 | -18362.7511280067 |
78 | 110529 | 138902.12850415 | -28373.1285041501 |
79 | 59938 | 67112.240844001 | -7174.24084400097 |
80 | 81625 | 93111.2878348027 | -11486.2878348027 |
81 | 71154 | 74022.9104253813 | -2868.91042538126 |
82 | 104767 | 114479.394792487 | -9712.39479248747 |
83 | 125386 | 134035.257039093 | -8649.25703909302 |
84 | 165933 | 139536.169177573 | 26396.8308224267 |
85 | 64520 | 68769.1501474587 | -4249.15014745865 |
86 | 165986 | 180655.885347896 | -14669.8853478958 |
87 | 102812 | 99099.5237580937 | 3712.47624190635 |
88 | 81897 | 88431.6156626026 | -6534.61566260261 |
89 | 37110 | 50684.7011824006 | -13574.7011824006 |
90 | 146975 | 137736.782350743 | 9238.21764925652 |
91 | 92059 | 90051.696792382 | 2007.30320761802 |
92 | 144551 | 116327.780585408 | 28223.2194145916 |
93 | 184923 | 205714.270591814 | -20791.2705918135 |
94 | 79756 | 92277.7610183378 | -12521.7610183378 |
95 | 140015 | 141322.842079825 | -1307.84207982532 |
96 | 89506 | 110065.072493462 | -20559.072493462 |
97 | 64593 | 76158.5785790336 | -11565.5785790335 |
98 | 70168 | 80959.4840753785 | -10791.4840753785 |
99 | 134238 | 148532.743829734 | -14294.7438297343 |
100 | 101047 | 98878.7515230952 | 2168.24847690478 |
101 | 92622 | 110172.086851709 | -17550.0868517093 |
102 | 14116 | 18954.2081515059 | -4838.20815150592 |
103 | 15986 | 24411.3199413387 | -8425.31994133868 |
104 | 89256 | 104194.114684129 | -14938.1146841295 |
105 | 150491 | 177370.52342309 | -26879.52342309 |
106 | 140358 | 134345.664297369 | 6012.33570263144 |
107 | 114948 | 121308.897594687 | -6360.89759468692 |
108 | 95671 | 116515.788343187 | -20844.788343187 |
109 | 176225 | 202177.643700484 | -25952.6437004843 |
110 | 93487 | 107320.197945376 | -13833.1979453761 |
111 | 89626 | 123469.497351694 | -33843.4973516938 |
112 | 66485 | 75876.3837139132 | -9391.38371391324 |
113 | 79089 | 116386.272350094 | -37297.2723500938 |
114 | 55918 | 65846.8362474946 | -9928.83624749464 |
115 | 112302 | 144220.921714077 | -31918.9217140768 |
116 | 104581 | 110135.480093408 | -5554.48009340804 |
117 | 117440 | 134272.483702919 | -16832.4837029188 |
118 | 101629 | 118989.761212946 | -17360.7612129461 |
119 | 112098 | 118915.481674157 | -6817.48167415663 |
120 | 68946 | 110250.28687538 | -41304.2868753802 |
121 | 114799 | 135169.997222272 | -20370.9972222722 |
122 | 119442 | 154166.088583951 | -34724.0885839509 |
123 | 100087 | 112832.335895964 | -12745.3358959639 |
124 | 139165 | 159894.217105132 | -20729.2171051322 |
125 | 83243 | 111286.441815832 | -28043.4418158315 |
126 | 123534 | 129748.532383839 | -6214.53238383949 |
127 | 6179 | 14888.610885454 | -8709.61088545399 |
128 | 1644 | 6957.90502324363 | -5313.90502324363 |
129 | 6023 | 9992.46830111515 | -3969.46830111515 |
130 | 120192 | 156005.23084612 | -35813.2308461202 |
131 | 83248 | 91293.6294409157 | -8045.62944091568 |
132 | 103925 | 132236.140288168 | -28311.1402881676 |
133 | 72128 | 100244.364552946 | -28116.3645529456 |
134 | 112431 | 129054.693806016 | -16623.6938060162 |
135 | 92280 | 124293.962517995 | -32013.9625179948 |
136 | 83515 | 105047.096871577 | -21532.0968715773 |
137 | 48029 | 64103.6573370143 | -16074.6573370143 |
138 | 93879 | 108623.013444068 | -14744.0134440679 |
139 | 855 | 6254.24941082105 | -5399.24941082105 |
140 | 100046 | 117095.582412446 | -17049.5824124462 |
141 | 31081 | 45761.1019061069 | -14680.1019061069 |
142 | 104978 | 144823.695340782 | -39845.6953407823 |
143 | 5950 | 12966.7309924186 | -7016.73099241859 |
144 | 3926 | 11494.118465923 | -7568.11846592297 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
18 | 0.112315598759582 | 0.224631197519165 | 0.887684401240418 |
19 | 0.0469610967999461 | 0.0939221935998923 | 0.953038903200054 |
20 | 0.0167080063621887 | 0.0334160127243773 | 0.983291993637811 |
21 | 0.00604599274987696 | 0.0120919854997539 | 0.993954007250123 |
22 | 0.00269510494238568 | 0.00539020988477136 | 0.997304895057614 |
23 | 0.00154920052125915 | 0.0030984010425183 | 0.998450799478741 |
24 | 0.000571294520924058 | 0.00114258904184812 | 0.999428705479076 |
25 | 0.00428919919178829 | 0.00857839838357658 | 0.995710800808212 |
26 | 0.0321279599592145 | 0.0642559199184289 | 0.967872040040786 |
27 | 0.0340008597683563 | 0.0680017195367125 | 0.965999140231644 |
28 | 0.131057709080966 | 0.262115418161931 | 0.868942290919034 |
29 | 0.123076214654423 | 0.246152429308846 | 0.876923785345577 |
30 | 0.0933501635760392 | 0.186700327152078 | 0.906649836423961 |
31 | 0.0783020630963341 | 0.156604126192668 | 0.921697936903666 |
32 | 0.0780989302532808 | 0.156197860506562 | 0.921901069746719 |
33 | 0.0856606829415195 | 0.171321365883039 | 0.91433931705848 |
34 | 0.0835676619605161 | 0.167135323921032 | 0.916432338039484 |
35 | 0.0643504323283697 | 0.128700864656739 | 0.93564956767163 |
36 | 0.0764565290802127 | 0.152913058160425 | 0.923543470919787 |
37 | 0.0629874793866407 | 0.125974958773281 | 0.937012520613359 |
38 | 0.0473264227094921 | 0.0946528454189842 | 0.952673577290508 |
39 | 0.0416526994092269 | 0.0833053988184538 | 0.958347300590773 |
40 | 0.0437879602539811 | 0.0875759205079622 | 0.956212039746019 |
41 | 0.0309697962964583 | 0.0619395925929167 | 0.969030203703542 |
42 | 0.0213503848439696 | 0.0427007696879392 | 0.97864961515603 |
43 | 0.0427713135159526 | 0.0855426270319052 | 0.957228686484047 |
44 | 0.16651582540217 | 0.33303165080434 | 0.83348417459783 |
45 | 0.393922177699222 | 0.787844355398445 | 0.606077822300778 |
46 | 0.462713119107415 | 0.92542623821483 | 0.537286880892585 |
47 | 0.405747171841886 | 0.811494343683771 | 0.594252828158114 |
48 | 0.427160973803079 | 0.854321947606159 | 0.572839026196921 |
49 | 0.436561961942919 | 0.873123923885838 | 0.563438038057081 |
50 | 0.445492563335131 | 0.890985126670262 | 0.554507436664869 |
51 | 0.402736643106818 | 0.805473286213635 | 0.597263356893182 |
52 | 0.574436261266201 | 0.851127477467597 | 0.425563738733799 |
53 | 0.714947408065375 | 0.57010518386925 | 0.285052591934625 |
54 | 0.717120470506078 | 0.565759058987844 | 0.282879529493922 |
55 | 0.87581672495521 | 0.24836655008958 | 0.12418327504479 |
56 | 0.942452736529505 | 0.115094526940991 | 0.0575472634704953 |
57 | 0.938934320941468 | 0.122131358117063 | 0.0610656790585316 |
58 | 0.960053960525727 | 0.0798920789485451 | 0.0399460394742725 |
59 | 0.963029895550097 | 0.0739402088998062 | 0.0369701044499031 |
60 | 0.981487791048016 | 0.037024417903968 | 0.018512208951984 |
61 | 0.99766722984753 | 0.00466554030493922 | 0.00233277015246961 |
62 | 0.998575909592845 | 0.00284818081430943 | 0.00142409040715471 |
63 | 0.998149375262292 | 0.00370124947541595 | 0.00185062473770798 |
64 | 0.999436714414202 | 0.00112657117159602 | 0.000563285585798011 |
65 | 0.999742212408966 | 0.00051557518206882 | 0.00025778759103441 |
66 | 0.99999882881524 | 2.34236952016797e-06 | 1.17118476008398e-06 |
67 | 0.999999033423657 | 1.9331526850082e-06 | 9.66576342504101e-07 |
68 | 0.999999126704966 | 1.74659006764102e-06 | 8.7329503382051e-07 |
69 | 0.999999025050821 | 1.94989835711774e-06 | 9.74949178558872e-07 |
70 | 0.999998773412783 | 2.45317443487233e-06 | 1.22658721743616e-06 |
71 | 0.999998783059162 | 2.43388167607347e-06 | 1.21694083803674e-06 |
72 | 0.999999744041805 | 5.11916390943559e-07 | 2.5595819547178e-07 |
73 | 0.999999594654794 | 8.10690411805934e-07 | 4.05345205902967e-07 |
74 | 0.999999916511502 | 1.66976995051591e-07 | 8.34884975257956e-08 |
75 | 0.999999880833384 | 2.38333232156275e-07 | 1.19166616078138e-07 |
76 | 0.999999786229854 | 4.27540291119382e-07 | 2.13770145559691e-07 |
77 | 0.999999703300394 | 5.93399212657485e-07 | 2.96699606328742e-07 |
78 | 0.99999989971713 | 2.00565740784878e-07 | 1.00282870392439e-07 |
79 | 0.999999860599581 | 2.78800837950243e-07 | 1.39400418975122e-07 |
80 | 0.999999772027886 | 4.55944228268949e-07 | 2.27972114134474e-07 |
81 | 0.999999552389548 | 8.95220903319135e-07 | 4.47610451659568e-07 |
82 | 0.999999396785786 | 1.20642842791347e-06 | 6.03214213956735e-07 |
83 | 0.999999195105508 | 1.60978898397473e-06 | 8.04894491987363e-07 |
84 | 0.999999921092783 | 1.57814433632027e-07 | 7.89072168160133e-08 |
85 | 0.999999877481847 | 2.45036306249693e-07 | 1.22518153124846e-07 |
86 | 0.999999895361185 | 2.09277630863125e-07 | 1.04638815431562e-07 |
87 | 0.999999859244846 | 2.81510307969282e-07 | 1.40755153984641e-07 |
88 | 0.999999717292555 | 5.6541489037701e-07 | 2.82707445188505e-07 |
89 | 0.999999470493364 | 1.05901327260172e-06 | 5.29506636300858e-07 |
90 | 0.999999915761978 | 1.6847604360025e-07 | 8.42380218001248e-08 |
91 | 0.999999958201306 | 8.3597388338151e-08 | 4.17986941690755e-08 |
92 | 0.999999990584076 | 1.88318478823344e-08 | 9.41592394116718e-09 |
93 | 0.999999990298013 | 1.94039741058731e-08 | 9.70198705293656e-09 |
94 | 0.99999998836704 | 2.32659194784794e-08 | 1.16329597392397e-08 |
95 | 0.999999982059416 | 3.58811688138237e-08 | 1.79405844069118e-08 |
96 | 0.999999970235218 | 5.95295637913838e-08 | 2.97647818956919e-08 |
97 | 0.999999940279544 | 1.19440911829936e-07 | 5.97204559149681e-08 |
98 | 0.99999995395272 | 9.20945603143192e-08 | 4.60472801571596e-08 |
99 | 0.99999997481181 | 5.03763807593971e-08 | 2.51881903796986e-08 |
100 | 0.999999991814707 | 1.63705851403607e-08 | 8.18529257018036e-09 |
101 | 0.999999984323215 | 3.13535698183305e-08 | 1.56767849091652e-08 |
102 | 0.999999969992715 | 6.00145698219006e-08 | 3.00072849109503e-08 |
103 | 0.999999914405112 | 1.71189775172385e-07 | 8.55948875861924e-08 |
104 | 0.99999982060614 | 3.58787719009956e-07 | 1.79393859504978e-07 |
105 | 0.999999820592503 | 3.58814993108774e-07 | 1.79407496554387e-07 |
106 | 0.99999996574881 | 6.85023807327523e-08 | 3.42511903663761e-08 |
107 | 0.999999946426379 | 1.07147242239058e-07 | 5.35736211195292e-08 |
108 | 0.999999910707657 | 1.78584685077349e-07 | 8.92923425386745e-08 |
109 | 0.999999971619815 | 5.67603707605908e-08 | 2.83801853802954e-08 |
110 | 0.999999940047523 | 1.19904953396442e-07 | 5.99524766982209e-08 |
111 | 0.999999914174137 | 1.71651726206633e-07 | 8.58258631033166e-08 |
112 | 0.999999909459593 | 1.81080813928795e-07 | 9.05404069643976e-08 |
113 | 0.999999754497008 | 4.91005983602001e-07 | 2.45502991801001e-07 |
114 | 0.999999220659883 | 1.55868023407148e-06 | 7.79340117035742e-07 |
115 | 0.999998026415416 | 3.9471691672992e-06 | 1.9735845836496e-06 |
116 | 0.999995291447074 | 9.4171058529593e-06 | 4.70855292647965e-06 |
117 | 0.99998735925656 | 2.52814868799814e-05 | 1.26407434399907e-05 |
118 | 0.999969386294242 | 6.12274115155925e-05 | 3.06137057577963e-05 |
119 | 0.999991560609767 | 1.68787804668375e-05 | 8.43939023341877e-06 |
120 | 0.999970975930969 | 5.80481380617892e-05 | 2.90240690308946e-05 |
121 | 0.999997951020444 | 4.09795911236183e-06 | 2.04897955618091e-06 |
122 | 0.999997796101266 | 4.40779746859668e-06 | 2.20389873429834e-06 |
123 | 0.99998162679068 | 3.67464186399582e-05 | 1.83732093199791e-05 |
124 | 0.999859356641174 | 0.000281286717652737 | 0.000140643358826369 |
125 | 0.999031173241459 | 0.00193765351708293 | 0.000968826758541465 |
126 | 0.998349608312795 | 0.00330078337441084 | 0.00165039168720542 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 70 | 0.642201834862385 | NOK |
5% type I error level | 74 | 0.678899082568807 | NOK |
10% type I error level | 84 | 0.770642201834862 | NOK |