Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = -0.956521145565252 + 0.122464404572676FindingFriends[t] -0.00611986826304842sum_friends[t] + 0.129901135405865KnowingPeople[t] + 0.0388655008006026sum_know[t] + 0.422882703355404Liked[t] -0.0255765571618555sum_liked[t] + 0.782432477255014Celebrity[t] -0.0824572683867577sum_celeb[t] + 0.579627939212371Sum[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) | -0.956521145565252 | 2.451522 | -0.3902 | 0.696976 | 0.348488 |
FindingFriends | 0.122464404572676 | 0.177249 | 0.6909 | 0.490714 | 0.245357 |
sum_friends | -0.00611986826304842 | 0.066175 | -0.0925 | 0.926443 | 0.463221 |
KnowingPeople | 0.129901135405865 | 0.111901 | 1.1609 | 0.247593 | 0.123797 |
sum_know | 0.0388655008006026 | 0.045231 | 0.8593 | 0.391601 | 0.1958 |
Liked | 0.422882703355404 | 0.169634 | 2.4929 | 0.013787 | 0.006893 |
sum_liked | -0.0255765571618555 | 0.063828 | -0.4007 | 0.689219 | 0.34461 |
Celebrity | 0.782432477255014 | 0.291171 | 2.6872 | 0.008042 | 0.004021 |
sum_celeb | -0.0824572683867577 | 0.117131 | -0.704 | 0.48257 | 0.241285 |
Sum | 0.579627939212371 | 0.887544 | 0.6531 | 0.514738 | 0.257369 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.716779838383906 |
R-squared | 0.513773336713658 |
Adjusted R-squared | 0.483800460209705 |
F-TEST (value) | 17.1412756011558 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 146 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.10987944174862 |
Sum Squared Residuals | 649.932323772166 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.2275438144205 | 1.77245618557947 |
2 | 12 | 11.0342302638718 | 0.9657697361282 |
3 | 15 | 13.2876546422484 | 1.71234535775157 |
4 | 12 | 10.8089897497838 | 1.19101025021616 |
5 | 10 | 10.7713737590258 | -0.771373759025813 |
6 | 12 | 9.06820706373527 | 2.93179293626473 |
7 | 15 | 16.5909272245955 | -1.59092722459553 |
8 | 9 | 10.0459426712359 | -1.04594267123586 |
9 | 12 | 12.8313779907896 | -0.831377990789559 |
10 | 11 | 7.49334633352468 | 3.50665366647532 |
11 | 11 | 13.3033553546585 | -2.30335535465845 |
12 | 11 | 11.9752469677655 | -0.975246967765519 |
13 | 15 | 12.7949933160697 | 2.20500668393034 |
14 | 7 | 11.4918805935504 | -4.49188059355038 |
15 | 11 | 11.7981279091528 | -0.798127909152844 |
16 | 11 | 10.3834759436488 | 0.616524056351211 |
17 | 10 | 11.9752469677655 | -1.97524696776552 |
18 | 14 | 14.3737925792916 | -0.373792579291638 |
19 | 10 | 8.45991929771326 | 1.54008070228674 |
20 | 6 | 9.12668671727478 | -3.12668671727478 |
21 | 11 | 8.7157022427032 | 2.2842977572968 |
22 | 15 | 14.3162025817089 | 0.683797418291133 |
23 | 11 | 12.1890537027534 | -1.18905370275341 |
24 | 12 | 9.53795294974255 | 2.46204705025745 |
25 | 14 | 12.9155719261853 | 1.08442807381467 |
26 | 15 | 14.5977334778881 | 0.402266522111864 |
27 | 9 | 14.4282575553238 | -5.4282575553238 |
28 | 13 | 12.8920416684156 | 0.107958331584388 |
29 | 13 | 13.0109285527104 | -0.0109285527103798 |
30 | 16 | 10.9899865064923 | 5.0100134935077 |
31 | 13 | 8.70485871570622 | 4.29514128429379 |
32 | 12 | 13.5197917181857 | -1.51979171818566 |
33 | 14 | 14.5097646766215 | -0.509764676621488 |
34 | 11 | 10.0481455926267 | 0.951854407373312 |
35 | 9 | 10.3684814977708 | -1.36848149777083 |
36 | 16 | 14.5299026186096 | 1.47009738139043 |
37 | 12 | 12.899256158167 | -0.899256158166965 |
38 | 10 | 9.47899553170556 | 0.521004468294436 |
39 | 13 | 12.8596482997718 | 0.140351700228155 |
40 | 16 | 15.450814104857 | 0.549185895142973 |
41 | 14 | 12.9464430078503 | 1.05355699214969 |
42 | 15 | 7.9843340361999 | 7.0156659638001 |
43 | 5 | 9.58600730887062 | -4.58600730887062 |
44 | 8 | 10.1581376449133 | -2.15813764491331 |
45 | 11 | 11.2421258886977 | -0.242125888697728 |
46 | 16 | 13.7235519120314 | 2.27644808796864 |
47 | 17 | 15.0960283922259 | 1.90397160777411 |
48 | 9 | 8.17264327132336 | 0.827356728676637 |
49 | 9 | 11.3590384594999 | -2.35903845949989 |
50 | 13 | 14.5003260089276 | -1.50032600892764 |
51 | 10 | 11.1011837347548 | -1.10118373475479 |
52 | 6 | 12.4348178203754 | -6.43481782037539 |
53 | 12 | 12.1066029548912 | -0.106602954891223 |
54 | 8 | 10.489044264813 | -2.48904426481301 |
55 | 14 | 11.7338684040511 | 2.2661315959489 |
56 | 12 | 13.1770648027584 | -1.17706480275844 |
57 | 11 | 10.6171692196699 | 0.382830780330143 |
58 | 16 | 14.6545092302766 | 1.34549076972341 |
59 | 8 | 10.6549086700045 | -2.65490867000447 |
60 | 15 | 14.9418047041933 | 0.058195295806669 |
61 | 7 | 8.97415066458367 | -1.97415066458367 |
62 | 16 | 14.3073110754221 | 1.69268892457793 |
63 | 14 | 12.8442987158888 | 1.15570128411123 |
64 | 16 | 13.4250730460563 | 2.57492695394366 |
65 | 9 | 10.0659685416539 | -1.06596854165392 |
66 | 14 | 12.1447228903299 | 1.85527710967015 |
67 | 11 | 13.3807949873978 | -2.38079498739784 |
68 | 13 | 10.4681574814718 | 2.53184251852821 |
69 | 15 | 13.1306451848893 | 1.86935481511073 |
70 | 5 | 5.67009245966134 | -0.67009245966134 |
71 | 15 | 13.1770648027584 | 1.82293519724156 |
72 | 13 | 12.6780417811813 | 0.321958218818717 |
73 | 11 | 12.3299070471522 | -1.32990704715223 |
74 | 11 | 14.1104046332066 | -3.11040463320658 |
75 | 12 | 12.64931218324 | -0.649312183240025 |
76 | 12 | 13.4394382834657 | -1.43943828346566 |
77 | 12 | 12.4158317414769 | -0.415831741476936 |
78 | 12 | 11.9949631366214 | 0.00503686337855331 |
79 | 14 | 10.8607738538447 | 3.1392261461553 |
80 | 6 | 7.802159072467 | -1.802159072467 |
81 | 7 | 9.76818227260353 | -2.76818227260353 |
82 | 14 | 12.4686570648375 | 1.53134293516251 |
83 | 14 | 13.9943896774927 | 0.00561032250727054 |
84 | 10 | 11.1372796911909 | -1.13727969119086 |
85 | 13 | 9.02312685723486 | 3.97687314276514 |
86 | 12 | 12.2931037728192 | -0.293103772819169 |
87 | 9 | 9.26363082967135 | -0.263630829671345 |
88 | 12 | 11.9217944541462 | 0.078205545853795 |
89 | 16 | 14.8381433587982 | 1.16185664120177 |
90 | 10 | 10.4400732807768 | -0.440073280776767 |
91 | 14 | 13.1443085188386 | 0.855691481161359 |
92 | 10 | 13.5346442718065 | -3.53464427180645 |
93 | 16 | 15.401067428546 | 0.598932571453979 |
94 | 15 | 13.4777263217063 | 1.52227367829373 |
95 | 12 | 11.4681292284869 | 0.531870771513146 |
96 | 10 | 9.33370043848328 | 0.666299561516721 |
97 | 8 | 10.477416246366 | -2.47741624636605 |
98 | 8 | 8.65893008827593 | -0.658930088275935 |
99 | 11 | 12.654915533214 | -1.654915533214 |
100 | 13 | 12.453447732235 | 0.546552267765037 |
101 | 16 | 15.5884456356338 | 0.411554364366185 |
102 | 16 | 14.7951278152298 | 1.20487218477024 |
103 | 14 | 15.4723250021853 | -1.47232500218527 |
104 | 11 | 9.02818057721714 | 1.97181942278286 |
105 | 4 | 7.08784173263349 | -3.08784173263349 |
106 | 14 | 14.4196353340098 | -0.419635334009812 |
107 | 9 | 10.6400561163837 | -1.64005611638368 |
108 | 14 | 15.0977608916113 | -1.09776089161128 |
109 | 8 | 10.1364301921225 | -2.13643019212252 |
110 | 8 | 10.715911302049 | -2.71591130204897 |
111 | 11 | 11.873913882272 | -0.873913882271967 |
112 | 12 | 13.1501689898151 | -1.15016898981508 |
113 | 11 | 11.6144296642982 | -0.614429664298249 |
114 | 14 | 13.3726509461595 | 0.627349053840505 |
115 | 15 | 14.2734651377469 | 0.726534862253111 |
116 | 16 | 13.4349888777443 | 2.56501112225571 |
117 | 16 | 12.9466203154947 | 3.05337968450529 |
118 | 11 | 12.8392689128711 | -1.83926891287108 |
119 | 14 | 14.2583045582921 | -0.258304558292105 |
120 | 14 | 10.837618555763 | 3.16238144423698 |
121 | 12 | 11.6298240258532 | 0.370175974146844 |
122 | 14 | 12.7006174175252 | 1.29938258247478 |
123 | 8 | 10.8907755528467 | -2.8907755528467 |
124 | 13 | 14.1199328683343 | -1.11993286833428 |
125 | 16 | 14.0219479368138 | 1.9780520631862 |
126 | 12 | 11.1249787549928 | 0.875021245007226 |
127 | 16 | 15.301521085457 | 0.698478914543025 |
128 | 12 | 12.6536387475452 | -0.653638747545172 |
129 | 11 | 11.452657396154 | -0.452657396154021 |
130 | 4 | 5.62386162589302 | -1.62386162589302 |
131 | 16 | 15.2457914941984 | 0.754208505801594 |
132 | 15 | 12.5958405702591 | 2.40415942974089 |
133 | 10 | 11.5261734935842 | -1.52617349358419 |
134 | 13 | 13.3974531743111 | -0.397453174311143 |
135 | 15 | 13.133970419843 | 1.86602958015695 |
136 | 12 | 10.50302169121 | 1.49697830878999 |
137 | 14 | 13.681486515552 | 0.318513484448037 |
138 | 7 | 10.0808068809741 | -3.08080688097408 |
139 | 19 | 13.9209642828889 | 5.07903571711112 |
140 | 12 | 13.0880115314566 | -1.08801153145658 |
141 | 12 | 11.5680436083457 | 0.431956391654338 |
142 | 13 | 13.3416025568501 | -0.341602556850117 |
143 | 15 | 12.2275207676955 | 2.77247923230451 |
144 | 8 | 9.35313962372138 | -1.35313962372138 |
145 | 12 | 10.9043085388271 | 1.09569146117285 |
146 | 10 | 11.1754834642238 | -1.17548346422381 |
147 | 8 | 11.4315364100654 | -3.43153641006535 |
148 | 10 | 14.6364792060832 | -4.63647920608323 |
149 | 15 | 13.9279841533596 | 1.07201584664036 |
150 | 16 | 14.6745657025484 | 1.32543429745159 |
151 | 13 | 13.1309012423538 | -0.130901242353846 |
152 | 16 | 15.0129580511699 | 0.987041948830092 |
153 | 9 | 9.76401987267187 | -0.764019872671873 |
154 | 14 | 13.0776185357745 | 0.92238146422549 |
155 | 14 | 13.2522110205335 | 0.74778897946646 |
156 | 12 | 10.1384097158563 | 1.86159028414367 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.18571882859656 | 0.37143765719312 | 0.81428117140344 |
14 | 0.776012001489515 | 0.44797599702097 | 0.223987998510485 |
15 | 0.660751206652744 | 0.678497586694513 | 0.339248793347256 |
16 | 0.614697812332198 | 0.770604375335604 | 0.385302187667802 |
17 | 0.512267517201389 | 0.975464965597222 | 0.487732482798611 |
18 | 0.416244566392152 | 0.832489132784304 | 0.583755433607848 |
19 | 0.346940566361714 | 0.693881132723428 | 0.653059433638286 |
20 | 0.680613165798704 | 0.638773668402592 | 0.319386834201296 |
21 | 0.610802512321098 | 0.778394975357805 | 0.389197487678902 |
22 | 0.557958758299772 | 0.884082483400456 | 0.442041241700228 |
23 | 0.530009137069659 | 0.939981725860682 | 0.469990862930341 |
24 | 0.524101023367654 | 0.951797953264692 | 0.475898976632346 |
25 | 0.584937256266562 | 0.830125487466877 | 0.415062743733438 |
26 | 0.522448988002732 | 0.955102023994537 | 0.477551011997268 |
27 | 0.737140268608154 | 0.525719462783692 | 0.262859731391846 |
28 | 0.68388354869418 | 0.63223290261164 | 0.31611645130582 |
29 | 0.628380757419477 | 0.743238485161047 | 0.371619242580523 |
30 | 0.819404555082694 | 0.361190889834612 | 0.180595444917306 |
31 | 0.884070567546612 | 0.231858864906776 | 0.115929432453388 |
32 | 0.855216637124941 | 0.289566725750118 | 0.144783362875059 |
33 | 0.8174043524608 | 0.365191295078401 | 0.182595647539201 |
34 | 0.784295099489387 | 0.431409801021227 | 0.215704900510613 |
35 | 0.769302278354945 | 0.46139544329011 | 0.230697721645055 |
36 | 0.768574374712261 | 0.462851250575478 | 0.231425625287739 |
37 | 0.734111250573957 | 0.531777498852087 | 0.265888749426043 |
38 | 0.686621705945866 | 0.626756588108269 | 0.313378294054134 |
39 | 0.644334987158507 | 0.711330025682987 | 0.355665012841493 |
40 | 0.595473891423702 | 0.809052217152597 | 0.404526108576298 |
41 | 0.560162813288016 | 0.879674373423968 | 0.439837186711984 |
42 | 0.817026086140238 | 0.365947827719524 | 0.182973913859762 |
43 | 0.961100044524562 | 0.0777999109508764 | 0.0388999554754382 |
44 | 0.9634312470172 | 0.0731375059655986 | 0.0365687529827993 |
45 | 0.95196674986272 | 0.0960665002745608 | 0.0480332501372804 |
46 | 0.957497852886865 | 0.08500429422627 | 0.042502147113135 |
47 | 0.949975255575103 | 0.100049488849793 | 0.0500247444248967 |
48 | 0.944551739905478 | 0.110896520189044 | 0.0554482600945219 |
49 | 0.942890456333112 | 0.114219087333777 | 0.0571095436668883 |
50 | 0.93337690345598 | 0.13324619308804 | 0.0666230965440198 |
51 | 0.929042923058921 | 0.141914153882157 | 0.0709570769410787 |
52 | 0.991917702970874 | 0.0161645940582526 | 0.00808229702912631 |
53 | 0.988873329913877 | 0.0222533401722465 | 0.0111266700861232 |
54 | 0.992346694967378 | 0.0153066100652442 | 0.0076533050326221 |
55 | 0.994733868913635 | 0.010532262172729 | 0.0052661310863645 |
56 | 0.99327351169011 | 0.013452976619779 | 0.00672648830988948 |
57 | 0.990720486181907 | 0.018559027636185 | 0.0092795138180925 |
58 | 0.988727697081875 | 0.02254460583625 | 0.011272302918125 |
59 | 0.992238260403522 | 0.0155234791929553 | 0.00776173959647766 |
60 | 0.991399377808966 | 0.0172012443820674 | 0.00860062219103369 |
61 | 0.991359135336404 | 0.0172817293271926 | 0.00864086466359628 |
62 | 0.9908139312815 | 0.0183721374369993 | 0.00918606871849963 |
63 | 0.989256056411304 | 0.0214878871773926 | 0.0107439435886963 |
64 | 0.991337265787316 | 0.0173254684253689 | 0.00866273421268446 |
65 | 0.989209022448977 | 0.021581955102046 | 0.010790977551023 |
66 | 0.98840155216047 | 0.0231968956790598 | 0.0115984478395299 |
67 | 0.98885821134651 | 0.0222835773069813 | 0.0111417886534906 |
68 | 0.990078565700864 | 0.0198428685982722 | 0.00992143429913608 |
69 | 0.989672827404584 | 0.0206543451908314 | 0.0103271725954157 |
70 | 0.986611484102172 | 0.0267770317956549 | 0.0133885158978275 |
71 | 0.986237239955473 | 0.0275255200890533 | 0.0137627600445267 |
72 | 0.981602810480318 | 0.0367943790393643 | 0.0183971895196822 |
73 | 0.978114455195821 | 0.0437710896083577 | 0.0218855448041788 |
74 | 0.987611496070663 | 0.0247770078586739 | 0.0123885039293369 |
75 | 0.983945213904882 | 0.0321095721902355 | 0.0160547860951177 |
76 | 0.981148251972344 | 0.0377034960553115 | 0.0188517480276557 |
77 | 0.974897956227123 | 0.0502040875457542 | 0.0251020437728771 |
78 | 0.966983433991153 | 0.0660331320176941 | 0.0330165660088471 |
79 | 0.977884026845232 | 0.0442319463095352 | 0.0221159731547676 |
80 | 0.975880533595292 | 0.0482389328094166 | 0.0241194664047083 |
81 | 0.981293487987666 | 0.0374130240246679 | 0.0187065120123339 |
82 | 0.98194890255711 | 0.0361021948857811 | 0.0180510974428905 |
83 | 0.976281273395385 | 0.0474374532092292 | 0.0237187266046146 |
84 | 0.971431957932085 | 0.0571360841358296 | 0.0285680420679148 |
85 | 0.991875221487154 | 0.0162495570256919 | 0.00812477851284593 |
86 | 0.988886961293848 | 0.0222260774123034 | 0.0111130387061517 |
87 | 0.984934365753568 | 0.0301312684928644 | 0.0150656342464322 |
88 | 0.979889161274992 | 0.0402216774500157 | 0.0201108387250078 |
89 | 0.974593203063746 | 0.0508135938725074 | 0.0254067969362537 |
90 | 0.966861707290054 | 0.0662765854198927 | 0.0331382927099464 |
91 | 0.959345754606074 | 0.0813084907878514 | 0.0406542453939257 |
92 | 0.980852265170915 | 0.0382954696581704 | 0.0191477348290852 |
93 | 0.974749399513217 | 0.0505012009735652 | 0.0252506004867826 |
94 | 0.969145039636485 | 0.0617099207270303 | 0.0308549603635151 |
95 | 0.960023624564688 | 0.0799527508706231 | 0.0399763754353115 |
96 | 0.948011001403937 | 0.103977997192127 | 0.0519889985960634 |
97 | 0.951156575546917 | 0.0976868489061653 | 0.0488434244530827 |
98 | 0.937678192372408 | 0.124643615255183 | 0.0623218076275916 |
99 | 0.934979578834214 | 0.130040842331572 | 0.065020421165786 |
100 | 0.919202067083882 | 0.161595865832235 | 0.0807979329161176 |
101 | 0.905433273101715 | 0.18913345379657 | 0.094566726898285 |
102 | 0.885867352115019 | 0.228265295769963 | 0.114132647884981 |
103 | 0.911245716412542 | 0.177508567174915 | 0.0887542835874576 |
104 | 0.941138907021939 | 0.117722185956123 | 0.0588610929780614 |
105 | 0.941820288348425 | 0.11635942330315 | 0.0581797116515749 |
106 | 0.92431493022409 | 0.15137013955182 | 0.0756850697759099 |
107 | 0.918215967755964 | 0.163568064488072 | 0.0817840322440362 |
108 | 0.925044887984505 | 0.14991022403099 | 0.0749551120154951 |
109 | 0.916566625749596 | 0.166866748500808 | 0.083433374250404 |
110 | 0.905209388773641 | 0.189581222452717 | 0.0947906112263587 |
111 | 0.884554505282002 | 0.230890989435996 | 0.115445494717998 |
112 | 0.883094717046193 | 0.233810565907614 | 0.116905282953807 |
113 | 0.852801707333106 | 0.294396585333789 | 0.147198292666894 |
114 | 0.820202540797502 | 0.359594918404995 | 0.179797459202498 |
115 | 0.780303992353167 | 0.439392015293666 | 0.219696007646833 |
116 | 0.773997986364079 | 0.452004027271842 | 0.226002013635921 |
117 | 0.783854093906539 | 0.432291812186923 | 0.216145906093461 |
118 | 0.766366044502706 | 0.467267910994588 | 0.233633955497294 |
119 | 0.717065646059348 | 0.565868707881303 | 0.282934353940652 |
120 | 0.790497126662922 | 0.419005746674157 | 0.209502873337078 |
121 | 0.756531998231144 | 0.486936003537711 | 0.243468001768856 |
122 | 0.715215508640921 | 0.569568982718158 | 0.284784491359079 |
123 | 0.713747013648639 | 0.572505972702722 | 0.286252986351361 |
124 | 0.65887117447617 | 0.68225765104766 | 0.34112882552383 |
125 | 0.658447507623792 | 0.683104984752416 | 0.341552492376208 |
126 | 0.638085781623485 | 0.72382843675303 | 0.361914218376515 |
127 | 0.57331141042449 | 0.85337717915102 | 0.42668858957551 |
128 | 0.607959819907074 | 0.784080360185852 | 0.392040180092926 |
129 | 0.601789364792553 | 0.796421270414894 | 0.398210635207447 |
130 | 0.573454118945876 | 0.853091762108247 | 0.426545881054124 |
131 | 0.496908003271027 | 0.993816006542054 | 0.503091996728973 |
132 | 0.475930254917935 | 0.95186050983587 | 0.524069745082065 |
133 | 0.472516560690427 | 0.945033121380853 | 0.527483439309573 |
134 | 0.397424929262939 | 0.794849858525878 | 0.602575070737061 |
135 | 0.358982351379124 | 0.717964702758248 | 0.641017648620876 |
136 | 0.36024844340139 | 0.72049688680278 | 0.63975155659861 |
137 | 0.276286312732384 | 0.552572625464768 | 0.723713687267616 |
138 | 0.338802972277992 | 0.677605944555983 | 0.661197027722008 |
139 | 0.629964957691366 | 0.740070084617268 | 0.370035042308634 |
140 | 0.791103058847175 | 0.417793882305651 | 0.208896941152825 |
141 | 0.723701383627538 | 0.552597232744925 | 0.276298616372462 |
142 | 0.684162606963401 | 0.631674786073198 | 0.315837393036599 |
143 | 0.731337446369691 | 0.537325107260618 | 0.268662553630309 |
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 | 35 | 0.267175572519084 | NOK |
10% type I error level | 49 | 0.374045801526718 | NOK |