Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 7.13071247390462 -0.501068230469552FindingFriends[t] + 0.0144399681786133KnowingPeople[t] + 0.0195920449423166friends_knowning[t] + 0.453370355865983Liked[t] -0.0119296940515774friends_liked[t] -1.04257015127669Celebrity[t] + 0.146732923963820friends_celeb[t] + 1.14069077304853Sum[t] -0.0845908632946571friends_sum[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) | 7.13071247390462 | 5.618027 | 1.2693 | 0.20637 | 0.103185 |
FindingFriends | -0.501068230469552 | 0.493294 | -1.0158 | 0.311425 | 0.155712 |
KnowingPeople | 0.0144399681786133 | 0.39969 | 0.0361 | 0.97123 | 0.485615 |
friends_knowning | 0.0195920449423166 | 0.035777 | 0.5476 | 0.584794 | 0.292397 |
Liked | 0.453370355865983 | 0.502072 | 0.903 | 0.368014 | 0.184007 |
friends_liked | -0.0119296940515774 | 0.047077 | -0.2534 | 0.800308 | 0.400154 |
Celebrity | -1.04257015127669 | 1.209949 | -0.8617 | 0.390285 | 0.195143 |
friends_celeb | 0.146732923963820 | 0.107187 | 1.3689 | 0.173121 | 0.086561 |
Sum | 1.14069077304853 | 0.841424 | 1.3557 | 0.177298 | 0.088649 |
friends_sum | -0.0845908632946571 | 0.075323 | -1.123 | 0.263263 | 0.131631 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.722001202058945 |
R-squared | 0.521285735774562 |
Adjusted R-squared | 0.491775952363404 |
F-TEST (value) | 17.6648445199185 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 146 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.09351674679716 |
Sum Squared Residuals | 639.890605891545 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 10.9393262245388 | 2.06067377546120 |
2 | 12 | 10.8637572173315 | 1.13624278266855 |
3 | 15 | 12.5380843562029 | 2.46191564379708 |
4 | 12 | 10.9147903176924 | 1.08520968230763 |
5 | 10 | 10.9065837761927 | -0.906583776192664 |
6 | 12 | 8.86754881001966 | 3.13245118998034 |
7 | 15 | 17.3348198468565 | -2.3348198468565 |
8 | 9 | 10.2737377490074 | -1.27373774900742 |
9 | 12 | 12.3298145937458 | -0.329814593745755 |
10 | 11 | 7.703695812116 | 3.296304187884 |
11 | 11 | 12.2356569872936 | -1.23565698729358 |
12 | 11 | 12.1460020623454 | -1.14600206234544 |
13 | 15 | 12.5400074425859 | 2.45999255741406 |
14 | 7 | 10.9327752831474 | -3.93277528314743 |
15 | 11 | 11.8860311300230 | -0.886031130023043 |
16 | 11 | 10.7728267639802 | 0.227173236019755 |
17 | 10 | 12.1460020623454 | -2.14600206234543 |
18 | 14 | 14.2820743220530 | -0.282074322053041 |
19 | 10 | 8.62408199434456 | 1.37591800565544 |
20 | 6 | 9.54277687401174 | -3.54277687401174 |
21 | 11 | 9.76931576610675 | 1.23068423389325 |
22 | 15 | 14.3014701505356 | 0.69852984946435 |
23 | 11 | 11.9879112587432 | -0.98791125874321 |
24 | 12 | 9.40116013257441 | 2.59883986742559 |
25 | 14 | 13.3287937060255 | 0.671206293974503 |
26 | 15 | 14.5317879703339 | 0.468212029666069 |
27 | 9 | 14.3212313362724 | -5.32123133627244 |
28 | 13 | 13.0420161354698 | -0.0420161354698297 |
29 | 13 | 12.5628021417156 | 0.437197858284434 |
30 | 16 | 10.7069471353146 | 5.29305286468537 |
31 | 13 | 9.05888360657696 | 3.94111639342304 |
32 | 12 | 13.2656904540232 | -1.26569045402324 |
33 | 14 | 14.7947034298603 | -0.794703429860287 |
34 | 11 | 10.5978043918972 | 0.402195608102836 |
35 | 9 | 10.3993381625201 | -1.39933816252006 |
36 | 16 | 14.4000743401058 | 1.59992565989419 |
37 | 12 | 12.9527000501128 | -0.952700050112832 |
38 | 10 | 10.2816921026549 | -0.281692102654871 |
39 | 13 | 12.8754994188057 | 0.124500581194254 |
40 | 16 | 15.5039013505371 | 0.496098649462922 |
41 | 14 | 13.0809055180780 | 0.91909448192204 |
42 | 15 | 8.59442596298533 | 6.40557403701467 |
43 | 5 | 8.72145244464665 | -3.72145244464665 |
44 | 8 | 10.2803705458728 | -2.28037054587275 |
45 | 11 | 11.1736409222425 | -0.173640922242536 |
46 | 16 | 13.7493739666929 | 2.25062603330708 |
47 | 17 | 14.3274425279742 | 2.67255747202575 |
48 | 9 | 8.29370726420258 | 0.706292735797424 |
49 | 9 | 11.4237199277776 | -2.42371992777761 |
50 | 13 | 14.6345807087657 | -1.63458070876572 |
51 | 10 | 10.9589490446740 | -0.958949044674013 |
52 | 6 | 12.0949341895663 | -6.09493418956629 |
53 | 12 | 12.1721492745242 | -0.172149274524155 |
54 | 8 | 10.2711326945549 | -2.27113269455493 |
55 | 14 | 12.3180862921800 | 1.68191370781997 |
56 | 12 | 12.9345812369023 | -0.934581236902313 |
57 | 11 | 10.9332068487977 | 0.0667931512023279 |
58 | 16 | 14.3950911126313 | 1.60490888736870 |
59 | 8 | 10.5242002387326 | -2.52420023873258 |
60 | 15 | 14.4723407949832 | 0.527659205016821 |
61 | 7 | 8.99149290399343 | -1.99149290399343 |
62 | 16 | 14.2653534812969 | 1.7346465187031 |
63 | 14 | 12.4452647828127 | 1.55473521718731 |
64 | 16 | 13.3095955845957 | 2.69040441540429 |
65 | 9 | 10.8253687840318 | -1.82536878403182 |
66 | 14 | 12.2370801682762 | 1.76291983172384 |
67 | 11 | 13.3953809193164 | -2.39538091931638 |
68 | 13 | 10.3039986825980 | 2.69600131740202 |
69 | 15 | 13.2065059315906 | 1.79349406840939 |
70 | 5 | 4.63866377481484 | 0.361336225185164 |
71 | 15 | 12.9345812369023 | 2.06541876309769 |
72 | 13 | 12.4882809953014 | 0.511719004698553 |
73 | 11 | 12.3566762937614 | -1.35667629376135 |
74 | 11 | 14.0222084053631 | -3.02220840536308 |
75 | 12 | 12.7149926705601 | -0.71499267056012 |
76 | 12 | 13.5799945330508 | -1.57999453305079 |
77 | 12 | 12.4119671620672 | -0.411967162067243 |
78 | 12 | 12.0489431376080 | -0.0489431376080456 |
79 | 14 | 10.5813467218020 | 3.41865327819801 |
80 | 6 | 7.58956533899704 | -1.58956533899704 |
81 | 7 | 9.58577374630882 | -2.58577374630882 |
82 | 14 | 12.6144008030286 | 1.38559919697144 |
83 | 14 | 14.0323606737721 | -0.0323606737721499 |
84 | 10 | 11.1562354690427 | -1.15623546904270 |
85 | 13 | 8.61966062207213 | 4.38033937792787 |
86 | 12 | 12.6976423672448 | -0.697642367244776 |
87 | 9 | 9.3863694549946 | -0.386369454994595 |
88 | 12 | 11.8585104760372 | 0.14148952396285 |
89 | 16 | 14.6627708860537 | 1.33722911394631 |
90 | 10 | 10.4708006369433 | -0.470800636943257 |
91 | 14 | 12.9221207325253 | 1.07787926747474 |
92 | 10 | 13.5000256756662 | -3.50002567566622 |
93 | 16 | 15.6040064720802 | 0.395993527919833 |
94 | 15 | 13.2616522008653 | 1.73834779913472 |
95 | 12 | 11.5021975743568 | 0.497802425643212 |
96 | 10 | 9.39950381303554 | 0.600496186964465 |
97 | 8 | 9.49370108808758 | -1.49370108808758 |
98 | 8 | 8.16051735795124 | -0.160517357951236 |
99 | 11 | 12.4720212055406 | -1.47202120554065 |
100 | 13 | 12.5818165031051 | 0.418183496894865 |
101 | 16 | 15.5236625362739 | 0.476337463726128 |
102 | 16 | 15.0442479373467 | 0.9557520626533 |
103 | 14 | 16.205090299453 | -2.20509029945300 |
104 | 11 | 9.3786282020592 | 1.62137179794081 |
105 | 4 | 7.74128845004527 | -3.74128845004527 |
106 | 14 | 15.1234318658932 | -1.12343186589317 |
107 | 9 | 10.9355728477718 | -1.93557284777183 |
108 | 14 | 15.1029146254051 | -1.10291462540508 |
109 | 8 | 10.4697215653163 | -2.46972156531634 |
110 | 8 | 11.0222268640315 | -3.02222686403150 |
111 | 11 | 11.7399605772429 | -0.739960577242937 |
112 | 12 | 11.7259545405275 | 0.274045459472454 |
113 | 11 | 11.2068372326215 | -0.206837232621550 |
114 | 14 | 13.4501327455468 | 0.549867254453218 |
115 | 15 | 14.4802280286219 | 0.51977197137813 |
116 | 16 | 13.4078344169117 | 2.59216558308832 |
117 | 16 | 13.2638628122735 | 2.73613718772651 |
118 | 11 | 12.6382246488744 | -1.63822464887442 |
119 | 14 | 14.1414093873231 | -0.14140938732313 |
120 | 14 | 10.9504667477682 | 3.04953325223176 |
121 | 12 | 11.3949111380132 | 0.60508886198677 |
122 | 14 | 12.6519598870773 | 1.34804011292273 |
123 | 8 | 10.8911831905579 | -2.89118319055786 |
124 | 13 | 14.1836397913579 | -1.18363979135789 |
125 | 16 | 14.0158089738105 | 1.98419102618952 |
126 | 12 | 10.5492818160930 | 1.45071818390697 |
127 | 16 | 15.6975419798839 | 0.302458020116145 |
128 | 12 | 13.2031932925129 | -1.20319329251285 |
129 | 11 | 11.4293830912187 | -0.429383091218697 |
130 | 4 | 6.10612877200004 | -2.10612877200004 |
131 | 16 | 16.0743432204218 | -0.0743432204217874 |
132 | 15 | 12.6257857705249 | 2.37421422947515 |
133 | 10 | 11.0761743627835 | -1.07617436278346 |
134 | 13 | 13.4873970152744 | -0.487397015274428 |
135 | 15 | 13.2655191318124 | 1.73448086818763 |
136 | 12 | 10.3950767885287 | 1.60492321147130 |
137 | 14 | 13.6377868794558 | 0.362213120544224 |
138 | 7 | 10.3648158549381 | -3.36481585493814 |
139 | 19 | 14.0748221740323 | 4.92517782596775 |
140 | 12 | 13.0450278327524 | -1.04502783275237 |
141 | 12 | 11.9822290424360 | 0.0177709575640404 |
142 | 13 | 13.5150636392988 | -0.515063639298784 |
143 | 15 | 12.4478409941893 | 2.55215900581071 |
144 | 8 | 9.40102189128402 | -1.40102189128402 |
145 | 12 | 10.7702217095278 | 1.22977829047224 |
146 | 10 | 10.8018247307924 | -0.80182473079243 |
147 | 8 | 11.1739712445785 | -3.17397124457850 |
148 | 10 | 14.7937263715450 | -4.79372637154504 |
149 | 15 | 13.8677393419999 | 1.13226065800013 |
150 | 16 | 14.5114376971260 | 1.48856230287396 |
151 | 13 | 13.1972777828502 | -0.197277782850192 |
152 | 16 | 15.2288615510811 | 0.77113844891889 |
153 | 9 | 9.84022680652135 | -0.840226806521353 |
154 | 14 | 12.7935752210566 | 1.20642477894338 |
155 | 14 | 13.1839295279290 | 0.816070472070982 |
156 | 12 | 10.2218177031707 | 1.77818229682926 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.789856754638046 | 0.420286490723908 | 0.210143245361954 |
14 | 0.794290257201509 | 0.411419485596982 | 0.205709742798491 |
15 | 0.720281079680348 | 0.559437840639304 | 0.279718920319652 |
16 | 0.652360434596926 | 0.695279130806148 | 0.347639565403074 |
17 | 0.559647021224978 | 0.880705957550043 | 0.440352978775022 |
18 | 0.461611528974337 | 0.923223057948675 | 0.538388471025663 |
19 | 0.366800294452809 | 0.733600588905618 | 0.633199705547191 |
20 | 0.787485910307698 | 0.425028179384605 | 0.212514089692302 |
21 | 0.746649252642218 | 0.506701494715563 | 0.253350747357782 |
22 | 0.71550487307246 | 0.56899025385508 | 0.28449512692754 |
23 | 0.649591316169457 | 0.700817367661086 | 0.350408683830543 |
24 | 0.677632001947584 | 0.644735996104833 | 0.322367998052416 |
25 | 0.612063670996889 | 0.775872658006223 | 0.387936329003111 |
26 | 0.542401760210633 | 0.915196479578735 | 0.457598239789367 |
27 | 0.779451156916408 | 0.441097686167185 | 0.220548843083592 |
28 | 0.722935064379629 | 0.554129871240743 | 0.277064935620371 |
29 | 0.67363039878558 | 0.65273920242884 | 0.32636960121442 |
30 | 0.820414569955332 | 0.359170860089336 | 0.179585430044668 |
31 | 0.863602288904169 | 0.272795422191662 | 0.136397711095831 |
32 | 0.82953688249718 | 0.340926235005639 | 0.170463117502820 |
33 | 0.793887141927808 | 0.412225716144384 | 0.206112858072192 |
34 | 0.748011208619611 | 0.503977582760778 | 0.251988791380389 |
35 | 0.726702639941763 | 0.546594720116474 | 0.273297360058237 |
36 | 0.729559521730713 | 0.540880956538574 | 0.270440478269287 |
37 | 0.696963145270282 | 0.606073709459436 | 0.303036854729718 |
38 | 0.714191519632901 | 0.571616960734198 | 0.285808480367099 |
39 | 0.670387563368333 | 0.659224873263335 | 0.329612436631667 |
40 | 0.631597275384729 | 0.736805449230542 | 0.368402724615271 |
41 | 0.599846621122809 | 0.800306757754382 | 0.400153378877191 |
42 | 0.858905884951662 | 0.282188230096676 | 0.141094115048338 |
43 | 0.944000158658083 | 0.111999682683833 | 0.0559998413419166 |
44 | 0.949119846429744 | 0.101760307140512 | 0.050880153570256 |
45 | 0.933842776755844 | 0.132314446488311 | 0.0661572232441556 |
46 | 0.939947278879072 | 0.120105442241857 | 0.0600527211209284 |
47 | 0.934796900723956 | 0.130406198552089 | 0.0652030992760443 |
48 | 0.92077040355579 | 0.158459192888418 | 0.0792295964442091 |
49 | 0.919012806743866 | 0.161974386512268 | 0.0809871932561338 |
50 | 0.905959821703126 | 0.188080356593748 | 0.094040178296874 |
51 | 0.894811508700093 | 0.210376982599814 | 0.105188491299907 |
52 | 0.978157470213161 | 0.0436850595736777 | 0.0218425297868389 |
53 | 0.971164838151099 | 0.0576703236978028 | 0.0288351618489014 |
54 | 0.97667337797608 | 0.0466532440478394 | 0.0233266220239197 |
55 | 0.978581189897702 | 0.042837620204595 | 0.0214188101022975 |
56 | 0.973878198000592 | 0.0522436039988154 | 0.0261218019994077 |
57 | 0.965858522295067 | 0.0682829554098653 | 0.0341414777049327 |
58 | 0.959475176615094 | 0.0810496467698111 | 0.0405248233849056 |
59 | 0.972211977397613 | 0.0555760452047747 | 0.0277880226023874 |
60 | 0.966988960278706 | 0.0660220794425878 | 0.0330110397212939 |
61 | 0.966475616449684 | 0.0670487671006323 | 0.0335243835503162 |
62 | 0.963719585700957 | 0.0725608285980868 | 0.0362804142990434 |
63 | 0.975166711134009 | 0.0496665777319821 | 0.0248332888659910 |
64 | 0.97952499290963 | 0.0409500141807413 | 0.0204750070903706 |
65 | 0.979991337015718 | 0.0400173259685643 | 0.0200086629842821 |
66 | 0.978033533804374 | 0.0439329323912527 | 0.0219664661956263 |
67 | 0.981027901073737 | 0.0379441978525253 | 0.0189720989262627 |
68 | 0.984639352940902 | 0.0307212941181954 | 0.0153606470590977 |
69 | 0.98325874118567 | 0.0334825176286591 | 0.0167412588143296 |
70 | 0.978464810038453 | 0.0430703799230932 | 0.0215351899615466 |
71 | 0.978438755695841 | 0.0431224886083175 | 0.0215612443041588 |
72 | 0.971736232525735 | 0.0565275349485301 | 0.0282637674742651 |
73 | 0.96722932069742 | 0.0655413586051594 | 0.0327706793025797 |
74 | 0.983171346943996 | 0.0336573061120083 | 0.0168286530560041 |
75 | 0.978631496071623 | 0.0427370078567547 | 0.0213685039283773 |
76 | 0.97635682845968 | 0.0472863430806395 | 0.0236431715403197 |
77 | 0.969335964613115 | 0.0613280707737694 | 0.0306640353868847 |
78 | 0.959907761006206 | 0.0801844779875881 | 0.0400922389937940 |
79 | 0.97487213722366 | 0.0502557255526806 | 0.0251278627763403 |
80 | 0.973524285597228 | 0.0529514288055441 | 0.0264757144027721 |
81 | 0.979794345741268 | 0.0404113085174646 | 0.0202056542587323 |
82 | 0.97938721677699 | 0.0412255664460189 | 0.0206127832230095 |
83 | 0.972650243757005 | 0.0546995124859892 | 0.0273497562429946 |
84 | 0.967176595754993 | 0.0656468084900142 | 0.0328234042450071 |
85 | 0.989707413712195 | 0.0205851725756101 | 0.0102925862878050 |
86 | 0.98649381468275 | 0.0270123706344991 | 0.0135061853172496 |
87 | 0.981899927358457 | 0.0362001452830859 | 0.0181000726415430 |
88 | 0.975755405295073 | 0.0484891894098548 | 0.0242445947049274 |
89 | 0.970320439332827 | 0.0593591213343467 | 0.0296795606671734 |
90 | 0.961635292062185 | 0.0767294158756301 | 0.0383647079378151 |
91 | 0.95349478122867 | 0.0930104375426596 | 0.0465052187713298 |
92 | 0.977456689084616 | 0.0450866218307681 | 0.0225433109153841 |
93 | 0.969990325502287 | 0.0600193489954257 | 0.0300096744977128 |
94 | 0.964419862773051 | 0.0711602744538975 | 0.0355801372269487 |
95 | 0.953778692720702 | 0.0924426145585966 | 0.0462213072792983 |
96 | 0.940649793686263 | 0.118700412627473 | 0.0593502063137367 |
97 | 0.927789235403593 | 0.144421529192814 | 0.0722107645964068 |
98 | 0.910113670632 | 0.179772658736000 | 0.0898863293680002 |
99 | 0.907106610992191 | 0.185786778015618 | 0.0928933890078088 |
100 | 0.884607078733033 | 0.230785842533934 | 0.115392921266967 |
101 | 0.860615361519267 | 0.278769276961466 | 0.139384638480733 |
102 | 0.835871566962959 | 0.328256866074083 | 0.164128433037041 |
103 | 0.875796479709198 | 0.248407040581604 | 0.124203520290802 |
104 | 0.914359596350102 | 0.171280807299796 | 0.0856404036498978 |
105 | 0.925043542953848 | 0.149912914092304 | 0.074956457046152 |
106 | 0.909435769665579 | 0.181128460668843 | 0.0905642303344213 |
107 | 0.905858722900244 | 0.188282554199512 | 0.0941412770997558 |
108 | 0.910164860487342 | 0.179670279025317 | 0.0898351395126584 |
109 | 0.908865267778054 | 0.182269464443892 | 0.0911347322219461 |
110 | 0.90122116403938 | 0.197557671921241 | 0.0987788359606207 |
111 | 0.886025292846051 | 0.227949414307897 | 0.113974707153949 |
112 | 0.899915057077614 | 0.200169885844773 | 0.100084942922386 |
113 | 0.871777571593193 | 0.256444856813615 | 0.128222428406807 |
114 | 0.841065216834469 | 0.317869566331062 | 0.158934783165531 |
115 | 0.802814400797228 | 0.394371198405545 | 0.197185599202772 |
116 | 0.792288192023945 | 0.415423615952109 | 0.207711807976055 |
117 | 0.80106321391162 | 0.397873572176758 | 0.198936786088379 |
118 | 0.79285086230577 | 0.41429827538846 | 0.20714913769423 |
119 | 0.745725907062648 | 0.508548185874703 | 0.254274092937352 |
120 | 0.815871346278011 | 0.368257307443978 | 0.184128653721989 |
121 | 0.783472604704189 | 0.433054790591622 | 0.216527395295811 |
122 | 0.73960066909439 | 0.520798661811219 | 0.260399330905610 |
123 | 0.731701256823727 | 0.536597486352547 | 0.268298743176273 |
124 | 0.677187246593197 | 0.645625506813606 | 0.322812753406803 |
125 | 0.682576594490698 | 0.634846811018605 | 0.317423405509303 |
126 | 0.652292041346899 | 0.695415917306202 | 0.347707958653101 |
127 | 0.588959466234945 | 0.82208106753011 | 0.411040533765055 |
128 | 0.552166421609133 | 0.895667156781733 | 0.447833578390867 |
129 | 0.499035241259993 | 0.998070482519987 | 0.500964758740007 |
130 | 0.444943808642562 | 0.889887617285123 | 0.555056191357438 |
131 | 0.374981421696104 | 0.749962843392207 | 0.625018578303896 |
132 | 0.375366110833359 | 0.750732221666717 | 0.624633889166641 |
133 | 0.37547158393236 | 0.75094316786472 | 0.62452841606764 |
134 | 0.335005100297719 | 0.670010200595438 | 0.664994899702281 |
135 | 0.299849971717293 | 0.599699943434585 | 0.700150028282707 |
136 | 0.301040174722990 | 0.602080349445979 | 0.69895982527701 |
137 | 0.226501992443877 | 0.453003984887755 | 0.773498007556123 |
138 | 0.351490911221516 | 0.702981822443032 | 0.648509088778484 |
139 | 0.61800047648068 | 0.763999047038641 | 0.381999523519320 |
140 | 0.813317324653413 | 0.373365350693175 | 0.186682675346587 |
141 | 0.746032629348773 | 0.507934741302454 | 0.253967370651227 |
142 | 0.71953424887232 | 0.56093150225536 | 0.28046575112768 |
143 | 0.610057764065747 | 0.779884471868507 | 0.389942235934253 |
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 | 22 | 0.16793893129771 | NOK |
10% type I error level | 44 | 0.33587786259542 | NOK |