Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = -0.956521145565202 + 0.122464404572674FindingFriends[t] -0.00611986826304754sum_friends[t] + 0.129901135405866KnowingPeople[t] + 0.0388655008006025sum_know[t] + 0.422882703355402Liked[t] -0.0255765571618549sum_liked[t] + 0.782432477255013Celebrity[t] -0.0824572683867579sum_celeb[t] + 0.579627939212355Sum[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) | -0.956521145565202 | 2.451522 | -0.3902 | 0.696976 | 0.348488 |
FindingFriends | 0.122464404572674 | 0.177249 | 0.6909 | 0.490714 | 0.245357 |
sum_friends | -0.00611986826304754 | 0.066175 | -0.0925 | 0.926443 | 0.463221 |
KnowingPeople | 0.129901135405866 | 0.111901 | 1.1609 | 0.247593 | 0.123797 |
sum_know | 0.0388655008006025 | 0.045231 | 0.8593 | 0.391601 | 0.1958 |
Liked | 0.422882703355402 | 0.169634 | 2.4929 | 0.013787 | 0.006893 |
sum_liked | -0.0255765571618549 | 0.063828 | -0.4007 | 0.689219 | 0.34461 |
Celebrity | 0.782432477255013 | 0.291171 | 2.6872 | 0.008042 | 0.004021 |
sum_celeb | -0.0824572683867579 | 0.117131 | -0.704 | 0.48257 | 0.241285 |
Sum | 0.579627939212355 | 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 | 11.2275438144204 | 1.77245618557957 |
2 | 12 | 11.0342302638718 | 0.965769736128203 |
3 | 15 | 13.2876546422484 | 1.71234535775158 |
4 | 12 | 10.8089897497838 | 1.19101025021617 |
5 | 10 | 10.7713737590258 | -0.771373759025812 |
6 | 12 | 9.06820706373528 | 2.93179293626472 |
7 | 15 | 16.5909272245955 | -1.59092722459553 |
8 | 9 | 10.0459426712359 | -1.04594267123586 |
9 | 12 | 12.8313779907896 | -0.831377990789564 |
10 | 11 | 7.4933463335247 | 3.5066536664753 |
11 | 11 | 13.3033553546585 | -2.30335535465845 |
12 | 11 | 11.9752469677655 | -0.97524696776552 |
13 | 15 | 12.7949933160697 | 2.20500668393034 |
14 | 7 | 11.4918805935504 | -4.49188059355038 |
15 | 11 | 11.7981279091528 | -0.798127909152836 |
16 | 11 | 10.3834759436488 | 0.616524056351206 |
17 | 10 | 11.9752469677655 | -1.97524696776552 |
18 | 14 | 14.3737925792916 | -0.373792579291638 |
19 | 10 | 8.45991929771326 | 1.54008070228674 |
20 | 6 | 9.12668671727479 | -3.12668671727479 |
21 | 11 | 8.7157022427032 | 2.28429775729680 |
22 | 15 | 14.3162025817089 | 0.683797418291134 |
23 | 11 | 12.1890537027534 | -1.18905370275341 |
24 | 12 | 9.53795294974255 | 2.46204705025745 |
25 | 14 | 12.9155719261853 | 1.08442807381466 |
26 | 15 | 14.5977334778881 | 0.402266522111863 |
27 | 9 | 14.4282575553238 | -5.4282575553238 |
28 | 13 | 12.8920416684156 | 0.107958331584390 |
29 | 13 | 13.0109285527104 | -0.0109285527103813 |
30 | 16 | 10.9899865064923 | 5.0100134935077 |
31 | 13 | 8.70485871570621 | 4.29514128429379 |
32 | 12 | 13.5197917181857 | -1.51979171818566 |
33 | 14 | 14.5097646766215 | -0.509764676621488 |
34 | 11 | 10.0481455926267 | 0.95185440737331 |
35 | 9 | 10.3684814977708 | -1.36848149777083 |
36 | 16 | 14.5299026186096 | 1.47009738139042 |
37 | 12 | 12.8992561581670 | -0.899256158166964 |
38 | 10 | 9.47899553170556 | 0.521004468294444 |
39 | 13 | 12.8596482997718 | 0.140351700228154 |
40 | 16 | 15.4508141048570 | 0.549185895142972 |
41 | 14 | 12.9464430078503 | 1.05355699214969 |
42 | 15 | 7.98433403619991 | 7.01566596380009 |
43 | 5 | 9.58600730887062 | -4.58600730887062 |
44 | 8 | 10.1581376449133 | -2.15813764491331 |
45 | 11 | 11.2421258886977 | -0.242125888697726 |
46 | 16 | 13.7235519120314 | 2.27644808796865 |
47 | 17 | 15.0960283922259 | 1.90397160777410 |
48 | 9 | 8.17264327132336 | 0.827356728676637 |
49 | 9 | 11.3590384594999 | -2.35903845949989 |
50 | 13 | 14.5003260089276 | -1.50032600892764 |
51 | 10 | 11.1011837347548 | -1.10118373475478 |
52 | 6 | 12.4348178203754 | -6.43481782037539 |
53 | 12 | 12.1066029548912 | -0.106602954891221 |
54 | 8 | 10.489044264813 | -2.48904426481301 |
55 | 14 | 11.7338684040511 | 2.26613159594890 |
56 | 12 | 13.1770648027584 | -1.17706480275844 |
57 | 11 | 10.6171692196699 | 0.382830780330139 |
58 | 16 | 14.6545092302766 | 1.34549076972341 |
59 | 8 | 10.6549086700045 | -2.65490867000448 |
60 | 15 | 14.9418047041933 | 0.0581952958066707 |
61 | 7 | 8.97415066458367 | -1.97415066458367 |
62 | 16 | 14.3073110754221 | 1.69268892457792 |
63 | 14 | 12.8442987158888 | 1.15570128411122 |
64 | 16 | 13.4250730460563 | 2.57492695394367 |
65 | 9 | 10.0659685416539 | -1.06596854165392 |
66 | 14 | 12.1447228903299 | 1.85527710967014 |
67 | 11 | 13.3807949873978 | -2.38079498739784 |
68 | 13 | 10.4681574814718 | 2.53184251852822 |
69 | 15 | 13.1306451848893 | 1.86935481511073 |
70 | 5 | 5.67009245966134 | -0.670092459661344 |
71 | 15 | 13.1770648027584 | 1.82293519724156 |
72 | 13 | 12.6780417811813 | 0.321958218818715 |
73 | 11 | 12.3299070471522 | -1.32990704715223 |
74 | 11 | 14.1104046332066 | -3.11040463320657 |
75 | 12 | 12.6493121832400 | -0.649312183240023 |
76 | 12 | 13.4394382834657 | -1.43943828346566 |
77 | 12 | 12.4158317414769 | -0.415831741476938 |
78 | 12 | 11.9949631366214 | 0.00503686337855314 |
79 | 14 | 10.8607738538447 | 3.13922614615530 |
80 | 6 | 7.802159072467 | -1.80215907246700 |
81 | 7 | 9.76818227260353 | -2.76818227260353 |
82 | 14 | 12.4686570648375 | 1.53134293516252 |
83 | 14 | 13.9943896774927 | 0.00561032250726964 |
84 | 10 | 11.1372796911909 | -1.13727969119086 |
85 | 13 | 9.02312685723487 | 3.97687314276513 |
86 | 12 | 12.2931037728192 | -0.293103772819169 |
87 | 9 | 9.26363082967135 | -0.263630829671349 |
88 | 12 | 11.9217944541462 | 0.078205545853794 |
89 | 16 | 14.8381433587982 | 1.16185664120178 |
90 | 10 | 10.4400732807768 | -0.440073280776769 |
91 | 14 | 13.1443085188386 | 0.855691481161362 |
92 | 10 | 13.5346442718065 | -3.53464427180645 |
93 | 16 | 15.4010674285460 | 0.598932571453977 |
94 | 15 | 13.4777263217063 | 1.52227367829373 |
95 | 12 | 11.4681292284869 | 0.531870771513145 |
96 | 10 | 9.33370043848328 | 0.666299561516719 |
97 | 8 | 10.4774162463660 | -2.47741624636605 |
98 | 8 | 8.65893008827594 | -0.658930088275938 |
99 | 11 | 12.654915533214 | -1.654915533214 |
100 | 13 | 12.4534477322350 | 0.546552267765038 |
101 | 16 | 15.5884456356338 | 0.411554364366184 |
102 | 16 | 14.7951278152298 | 1.20487218477023 |
103 | 14 | 15.4723250021853 | -1.47232500218526 |
104 | 11 | 9.02818057721714 | 1.97181942278286 |
105 | 4 | 7.0878417326335 | -3.08784173263349 |
106 | 14 | 14.4196353340098 | -0.419635334009809 |
107 | 9 | 10.6400561163837 | -1.64005611638368 |
108 | 14 | 15.0977608916113 | -1.09776089161128 |
109 | 8 | 10.1364301921225 | -2.13643019212252 |
110 | 8 | 10.7159113020490 | -2.71591130204898 |
111 | 11 | 11.8739138822720 | -0.873913882271969 |
112 | 12 | 13.1501689898151 | -1.15016898981508 |
113 | 11 | 11.6144296642982 | -0.614429664298243 |
114 | 14 | 13.3726509461595 | 0.627349053840509 |
115 | 15 | 14.2734651377469 | 0.726534862253112 |
116 | 16 | 13.4349888777443 | 2.56501112225571 |
117 | 16 | 12.9466203154947 | 3.05337968450529 |
118 | 11 | 12.8392689128711 | -1.83926891287107 |
119 | 14 | 14.2583045582921 | -0.258304558292107 |
120 | 14 | 10.8376185557630 | 3.16238144423698 |
121 | 12 | 11.6298240258532 | 0.370175974146841 |
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 | 0.875021245007234 |
127 | 16 | 15.3015210854570 | 0.698478914543027 |
128 | 12 | 12.6536387475452 | -0.653638747545174 |
129 | 11 | 11.4526573961540 | -0.452657396154021 |
130 | 4 | 5.62386162589304 | -1.62386162589304 |
131 | 16 | 15.2457914941984 | 0.754208505801591 |
132 | 15 | 12.5958405702591 | 2.40415942974090 |
133 | 10 | 11.5261734935842 | -1.52617349358419 |
134 | 13 | 13.3974531743112 | -0.397453174311151 |
135 | 15 | 13.1339704198430 | 1.86602958015695 |
136 | 12 | 10.5030216912100 | 1.49697830878999 |
137 | 14 | 13.6814865155520 | 0.318513484448036 |
138 | 7 | 10.0808068809741 | -3.08080688097409 |
139 | 19 | 13.9209642828889 | 5.07903571711112 |
140 | 12 | 13.0880115314566 | -1.08801153145658 |
141 | 12 | 11.5680436083457 | 0.431956391654331 |
142 | 13 | 13.3416025568501 | -0.341602556850117 |
143 | 15 | 12.2275207676955 | 2.77247923230451 |
144 | 8 | 9.35313962372137 | -1.35313962372137 |
145 | 12 | 10.9043085388271 | 1.09569146117285 |
146 | 10 | 11.1754834642238 | -1.17548346422380 |
147 | 8 | 11.4315364100653 | -3.43153641006535 |
148 | 10 | 14.6364792060832 | -4.63647920608323 |
149 | 15 | 13.9279841533596 | 1.07201584664036 |
150 | 16 | 14.6745657025484 | 1.32543429745160 |
151 | 13 | 13.1309012423538 | -0.130901242353844 |
152 | 16 | 15.0129580511699 | 0.987041948830091 |
153 | 9 | 9.76401987267188 | -0.764019872671875 |
154 | 14 | 13.0776185357745 | 0.92238146422549 |
155 | 14 | 13.2522110205335 | 0.747788979466463 |
156 | 12 | 10.1384097158563 | 1.86159028414366 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.185718828596561 | 0.371437657193122 | 0.814281171403439 |
14 | 0.776012001489516 | 0.447975997020969 | 0.223987998510484 |
15 | 0.660751206652745 | 0.67849758669451 | 0.339248793347255 |
16 | 0.614697812332199 | 0.770604375335603 | 0.385302187667801 |
17 | 0.512267517201389 | 0.975464965597223 | 0.487732482798611 |
18 | 0.416244566392151 | 0.832489132784302 | 0.583755433607849 |
19 | 0.346940566361711 | 0.693881132723422 | 0.653059433638289 |
20 | 0.680613165798703 | 0.638773668402594 | 0.319386834201297 |
21 | 0.610802512321098 | 0.778394975357804 | 0.389197487678902 |
22 | 0.557958758299772 | 0.884082483400456 | 0.442041241700228 |
23 | 0.530009137069662 | 0.939981725860675 | 0.469990862930338 |
24 | 0.524101023367653 | 0.951797953264693 | 0.475898976632347 |
25 | 0.584937256266562 | 0.830125487466877 | 0.415062743733438 |
26 | 0.522448988002731 | 0.955102023994538 | 0.477551011997269 |
27 | 0.737140268608154 | 0.525719462783691 | 0.262859731391846 |
28 | 0.683883548694181 | 0.632232902611638 | 0.316116451305819 |
29 | 0.62838075741948 | 0.743238485161041 | 0.371619242580520 |
30 | 0.819404555082696 | 0.361190889834607 | 0.180595444917304 |
31 | 0.884070567546612 | 0.231858864906776 | 0.115929432453388 |
32 | 0.855216637124942 | 0.289566725750117 | 0.144783362875058 |
33 | 0.8174043524608 | 0.365191295078401 | 0.182595647539201 |
34 | 0.784295099489387 | 0.431409801021226 | 0.215704900510613 |
35 | 0.769302278354946 | 0.461395443290107 | 0.230697721645054 |
36 | 0.76857437471226 | 0.462851250575479 | 0.231425625287740 |
37 | 0.734111250573955 | 0.53177749885209 | 0.265888749426045 |
38 | 0.686621705945865 | 0.626756588108269 | 0.313378294054135 |
39 | 0.644334987158507 | 0.711330025682986 | 0.355665012841493 |
40 | 0.595473891423701 | 0.809052217152597 | 0.404526108576299 |
41 | 0.560162813288013 | 0.879674373423973 | 0.439837186711987 |
42 | 0.81702608614024 | 0.365947827719519 | 0.182973913859760 |
43 | 0.961100044524563 | 0.0777999109508749 | 0.0388999554754375 |
44 | 0.96343124701720 | 0.0731375059655978 | 0.0365687529827989 |
45 | 0.95196674986272 | 0.0960665002745607 | 0.0480332501372804 |
46 | 0.957497852886864 | 0.0850042942262714 | 0.0425021471131357 |
47 | 0.949975255575103 | 0.100049488849794 | 0.050024744424897 |
48 | 0.94455173990548 | 0.110896520189041 | 0.0554482600945207 |
49 | 0.942890456333112 | 0.114219087333776 | 0.057109543666888 |
50 | 0.93337690345598 | 0.133246193088039 | 0.0666230965440194 |
51 | 0.929042923058919 | 0.141914153882162 | 0.070957076941081 |
52 | 0.991917702970874 | 0.0161645940582524 | 0.0080822970291262 |
53 | 0.988873329913877 | 0.0222533401722469 | 0.0111266700861234 |
54 | 0.992346694967378 | 0.0153066100652441 | 0.00765330503262204 |
55 | 0.994733868913636 | 0.010532262172729 | 0.0052661310863645 |
56 | 0.99327351169011 | 0.0134529766197790 | 0.00672648830988949 |
57 | 0.990720486181907 | 0.0185590276361850 | 0.00927951381809248 |
58 | 0.988727697081875 | 0.02254460583625 | 0.011272302918125 |
59 | 0.992238260403522 | 0.0155234791929557 | 0.00776173959647783 |
60 | 0.991399377808966 | 0.0172012443820673 | 0.00860062219103365 |
61 | 0.991359135336404 | 0.0172817293271922 | 0.0086408646635961 |
62 | 0.9908139312815 | 0.0183721374369992 | 0.00918606871849959 |
63 | 0.989256056411304 | 0.0214878871773923 | 0.0107439435886962 |
64 | 0.991337265787315 | 0.0173254684253691 | 0.00866273421268455 |
65 | 0.989209022448977 | 0.0215819551020458 | 0.0107909775510229 |
66 | 0.98840155216047 | 0.0231968956790597 | 0.0115984478395299 |
67 | 0.988858211346509 | 0.0222835773069821 | 0.0111417886534910 |
68 | 0.990078565700864 | 0.0198428685982722 | 0.0099214342991361 |
69 | 0.989672827404584 | 0.0206543451908313 | 0.0103271725954156 |
70 | 0.986611484102173 | 0.0267770317956545 | 0.0133885158978273 |
71 | 0.986237239955473 | 0.0275255200890535 | 0.0137627600445268 |
72 | 0.981602810480318 | 0.0367943790393641 | 0.0183971895196820 |
73 | 0.978114455195821 | 0.0437710896083572 | 0.0218855448041786 |
74 | 0.987611496070663 | 0.0247770078586741 | 0.0123885039293370 |
75 | 0.983945213904882 | 0.0321095721902357 | 0.0160547860951178 |
76 | 0.981148251972344 | 0.0377034960553119 | 0.0188517480276559 |
77 | 0.974897956227122 | 0.050204087545755 | 0.0251020437728775 |
78 | 0.966983433991152 | 0.0660331320176957 | 0.0330165660088478 |
79 | 0.977884026845233 | 0.0442319463095345 | 0.0221159731547673 |
80 | 0.975880533595292 | 0.0482389328094167 | 0.0241194664047083 |
81 | 0.981293487987666 | 0.0374130240246682 | 0.0187065120123341 |
82 | 0.98194890255711 | 0.0361021948857808 | 0.0180510974428904 |
83 | 0.976281273395385 | 0.04743745320923 | 0.023718726604615 |
84 | 0.971431957932084 | 0.0571360841358312 | 0.0285680420679156 |
85 | 0.991875221487154 | 0.0162495570256920 | 0.00812477851284599 |
86 | 0.988886961293848 | 0.0222260774123035 | 0.0111130387061517 |
87 | 0.984934365753568 | 0.0301312684928644 | 0.0150656342464322 |
88 | 0.979889161274992 | 0.0402216774500152 | 0.0201108387250076 |
89 | 0.974593203063746 | 0.0508135938725074 | 0.0254067969362537 |
90 | 0.966861707290054 | 0.0662765854198918 | 0.0331382927099459 |
91 | 0.959345754606074 | 0.0813084907878514 | 0.0406542453939257 |
92 | 0.980852265170915 | 0.0382954696581707 | 0.0191477348290854 |
93 | 0.974749399513217 | 0.0505012009735651 | 0.0252506004867826 |
94 | 0.969145039636485 | 0.0617099207270298 | 0.0308549603635149 |
95 | 0.960023624564688 | 0.0799527508706235 | 0.0399763754353118 |
96 | 0.948011001403937 | 0.103977997192126 | 0.0519889985960632 |
97 | 0.951156575546918 | 0.0976868489061645 | 0.0488434244530823 |
98 | 0.93767819237241 | 0.124643615255183 | 0.0623218076275913 |
99 | 0.934979578834214 | 0.130040842331573 | 0.0650204211657863 |
100 | 0.919202067083882 | 0.161595865832236 | 0.080797932916118 |
101 | 0.905433273101715 | 0.189133453796571 | 0.0945667268982853 |
102 | 0.885867352115016 | 0.228265295769967 | 0.114132647884984 |
103 | 0.911245716412542 | 0.177508567174915 | 0.0887542835874575 |
104 | 0.94113890702194 | 0.117722185956122 | 0.058861092978061 |
105 | 0.941820288348424 | 0.116359423303152 | 0.0581797116515760 |
106 | 0.92431493022409 | 0.151370139551818 | 0.0756850697759092 |
107 | 0.918215967755964 | 0.163568064488072 | 0.0817840322440358 |
108 | 0.925044887984505 | 0.149910224030990 | 0.0749551120154952 |
109 | 0.916566625749596 | 0.166866748500808 | 0.0834333742504041 |
110 | 0.905209388773641 | 0.189581222452717 | 0.0947906112263585 |
111 | 0.884554505282001 | 0.230890989435997 | 0.115445494717999 |
112 | 0.883094717046194 | 0.233810565907613 | 0.116905282953806 |
113 | 0.852801707333106 | 0.294396585333788 | 0.147198292666894 |
114 | 0.820202540797502 | 0.359594918404997 | 0.179797459202498 |
115 | 0.780303992353168 | 0.439392015293664 | 0.219696007646832 |
116 | 0.773997986364078 | 0.452004027271843 | 0.226002013635922 |
117 | 0.783854093906539 | 0.432291812186922 | 0.216145906093461 |
118 | 0.766366044502706 | 0.467267910994588 | 0.233633955497294 |
119 | 0.71706564605935 | 0.565868707881301 | 0.282934353940651 |
120 | 0.790497126662921 | 0.419005746674157 | 0.209502873337079 |
121 | 0.756531998231144 | 0.486936003537712 | 0.243468001768856 |
122 | 0.715215508640922 | 0.569568982718157 | 0.284784491359078 |
123 | 0.713747013648639 | 0.572505972702723 | 0.286252986351361 |
124 | 0.658871174476172 | 0.682257651047656 | 0.341128825523828 |
125 | 0.658447507623791 | 0.683104984752417 | 0.341552492376209 |
126 | 0.638085781623484 | 0.723828436753033 | 0.361914218376517 |
127 | 0.57331141042449 | 0.85337717915102 | 0.42668858957551 |
128 | 0.607959819907075 | 0.78408036018585 | 0.392040180092925 |
129 | 0.601789364792552 | 0.796421270414896 | 0.398210635207448 |
130 | 0.573454118945877 | 0.853091762108246 | 0.426545881054123 |
131 | 0.496908003271029 | 0.993816006542058 | 0.503091996728971 |
132 | 0.475930254917933 | 0.951860509835865 | 0.524069745082067 |
133 | 0.472516560690425 | 0.94503312138085 | 0.527483439309575 |
134 | 0.39742492926294 | 0.79484985852588 | 0.60257507073706 |
135 | 0.358982351379126 | 0.717964702758252 | 0.641017648620874 |
136 | 0.360248443401389 | 0.720496886802778 | 0.639751556598611 |
137 | 0.276286312732383 | 0.552572625464766 | 0.723713687267617 |
138 | 0.338802972277989 | 0.677605944555977 | 0.661197027722011 |
139 | 0.629964957691365 | 0.74007008461727 | 0.370035042308635 |
140 | 0.791103058847174 | 0.417793882305652 | 0.208896941152826 |
141 | 0.72370138362754 | 0.55259723274492 | 0.27629861637246 |
142 | 0.684162606963402 | 0.631674786073197 | 0.315837393036598 |
143 | 0.73133744636969 | 0.537325107260621 | 0.268662553630311 |
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 |