Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 7.13071247390499 -0.501068230469585FindingFriends[t] + 0.0144399681786234KnowingPeople[t] + 0.0195920449423157friends_knowning[t] + 0.453370355865953Liked[t] -0.0119296940515746friends_liked[t] -1.04257015127670Celebrity[t] + 0.146732923963822friends_celeb[t] + 1.14069077304853Sum[t] -0.0845908632946572friends_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) | 7.13071247390499 | 5.618027 | 1.2693 | 0.20637 | 0.103185 |
FindingFriends | -0.501068230469585 | 0.493294 | -1.0158 | 0.311425 | 0.155712 |
KnowingPeople | 0.0144399681786234 | 0.39969 | 0.0361 | 0.97123 | 0.485615 |
friends_knowning | 0.0195920449423157 | 0.035777 | 0.5476 | 0.584794 | 0.292397 |
Liked | 0.453370355865953 | 0.502072 | 0.903 | 0.368014 | 0.184007 |
friends_liked | -0.0119296940515746 | 0.047077 | -0.2534 | 0.800308 | 0.400154 |
Celebrity | -1.04257015127670 | 1.209949 | -0.8617 | 0.390285 | 0.195143 |
friends_celeb | 0.146732923963822 | 0.107187 | 1.3689 | 0.173121 | 0.086561 |
Sum | 1.14069077304853 | 0.841424 | 1.3557 | 0.177298 | 0.088649 |
friends_sum | -0.0845908632946572 | 0.075323 | -1.123 | 0.263263 | 0.131631 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.722001202058945 |
R-squared | 0.521285735774561 |
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 | 2.06067377546121 |
2 | 12 | 10.8637572173315 | 1.13624278266855 |
3 | 15 | 12.5380843562029 | 2.46191564379707 |
4 | 12 | 10.9147903176924 | 1.08520968230764 |
5 | 10 | 10.9065837761927 | -0.906583776192673 |
6 | 12 | 8.86754881001966 | 3.13245118998034 |
7 | 15 | 17.3348198468565 | -2.33481984685653 |
8 | 9 | 10.2737377490074 | -1.27373774900741 |
9 | 12 | 12.3298145937458 | -0.329814593745768 |
10 | 11 | 7.70369581211604 | 3.29630418788396 |
11 | 11 | 12.2356569872936 | -1.23565698729358 |
12 | 11 | 12.1460020623454 | -1.14600206234543 |
13 | 15 | 12.5400074425859 | 2.45999255741406 |
14 | 7 | 10.9327752831474 | -3.93277528314742 |
15 | 11 | 11.8860311300231 | -0.886031130023053 |
16 | 11 | 10.7728267639802 | 0.227173236019762 |
17 | 10 | 12.1460020623454 | -2.14600206234543 |
18 | 14 | 14.2820743220530 | -0.282074322053038 |
19 | 10 | 8.62408199434457 | 1.37591800565543 |
20 | 6 | 9.54277687401176 | -3.54277687401176 |
21 | 11 | 9.76931576610676 | 1.23068423389324 |
22 | 15 | 14.3014701505356 | 0.698529849464355 |
23 | 11 | 11.9879112587432 | -0.987911258743211 |
24 | 12 | 9.4011601325744 | 2.59883986742559 |
25 | 14 | 13.3287937060255 | 0.671206293974508 |
26 | 15 | 14.5317879703339 | 0.468212029666071 |
27 | 9 | 14.3212313362724 | -5.32123133627244 |
28 | 13 | 13.0420161354698 | -0.04201613546983 |
29 | 13 | 12.5628021417156 | 0.437197858284439 |
30 | 16 | 10.7069471353146 | 5.29305286468536 |
31 | 13 | 9.05888360657697 | 3.94111639342303 |
32 | 12 | 13.2656904540232 | -1.26569045402323 |
33 | 14 | 14.7947034298603 | -0.794703429860286 |
34 | 11 | 10.5978043918972 | 0.402195608102839 |
35 | 9 | 10.3993381625201 | -1.39933816252006 |
36 | 16 | 14.4000743401058 | 1.59992565989420 |
37 | 12 | 12.9527000501128 | -0.952700050112836 |
38 | 10 | 10.2816921026549 | -0.281692102654904 |
39 | 13 | 12.8754994188057 | 0.124500581194257 |
40 | 16 | 15.5039013505371 | 0.496098649462928 |
41 | 14 | 13.0809055180780 | 0.919094481922042 |
42 | 15 | 8.59442596298534 | 6.40557403701466 |
43 | 5 | 8.72145244464664 | -3.72145244464664 |
44 | 8 | 10.2803705458728 | -2.28037054587275 |
45 | 11 | 11.1736409222425 | -0.173640922242532 |
46 | 16 | 13.7493739666929 | 2.25062603330708 |
47 | 17 | 14.3274425279742 | 2.67255747202575 |
48 | 9 | 8.29370726420254 | 0.706292735797464 |
49 | 9 | 11.4237199277776 | -2.42371992777761 |
50 | 13 | 14.6345807087657 | -1.63458070876572 |
51 | 10 | 10.9589490446740 | -0.958949044674015 |
52 | 6 | 12.0949341895663 | -6.0949341895663 |
53 | 12 | 12.1721492745242 | -0.172149274524156 |
54 | 8 | 10.2711326945549 | -2.27113269455494 |
55 | 14 | 12.3180862921800 | 1.68191370781998 |
56 | 12 | 12.9345812369023 | -0.934581236902313 |
57 | 11 | 10.9332068487977 | 0.0667931512023159 |
58 | 16 | 14.3950911126313 | 1.60490888736871 |
59 | 8 | 10.5242002387326 | -2.52420023873258 |
60 | 15 | 14.4723407949832 | 0.52765920501683 |
61 | 7 | 8.99149290399343 | -1.99149290399343 |
62 | 16 | 14.2653534812969 | 1.73464651870310 |
63 | 14 | 12.4452647828127 | 1.55473521718729 |
64 | 16 | 13.3095955845957 | 2.69040441540429 |
65 | 9 | 10.8253687840318 | -1.82536878403182 |
66 | 14 | 12.2370801682762 | 1.76291983172384 |
67 | 11 | 13.3953809193164 | -2.39538091931637 |
68 | 13 | 10.3039986825980 | 2.69600131740202 |
69 | 15 | 13.2065059315906 | 1.79349406840940 |
70 | 5 | 4.63866377481478 | 0.361336225185218 |
71 | 15 | 12.9345812369023 | 2.06541876309769 |
72 | 13 | 12.4882809953014 | 0.511719004698555 |
73 | 11 | 12.3566762937614 | -1.35667629376135 |
74 | 11 | 14.0222084053630 | -3.02220840536303 |
75 | 12 | 12.7149926705601 | -0.714992670560117 |
76 | 12 | 13.5799945330508 | -1.57999453305078 |
77 | 12 | 12.4119671620672 | -0.411967162067232 |
78 | 12 | 12.0489431376081 | -0.0489431376080512 |
79 | 14 | 10.581346721802 | 3.41865327819800 |
80 | 6 | 7.58956533899704 | -1.58956533899704 |
81 | 7 | 9.58577374630882 | -2.58577374630882 |
82 | 14 | 12.6144008030286 | 1.38559919697143 |
83 | 14 | 14.0323606737721 | -0.0323606737721461 |
84 | 10 | 11.1562354690427 | -1.15623546904270 |
85 | 13 | 8.61966062207213 | 4.38033937792787 |
86 | 12 | 12.6976423672448 | -0.697642367244768 |
87 | 9 | 9.3863694549946 | -0.386369454994597 |
88 | 12 | 11.8585104760371 | 0.141489523962873 |
89 | 16 | 14.6627708860537 | 1.33722911394632 |
90 | 10 | 10.4708006369433 | -0.470800636943259 |
91 | 14 | 12.9221207325253 | 1.07787926747475 |
92 | 10 | 13.5000256756662 | -3.50002567566621 |
93 | 16 | 15.6040064720802 | 0.395993527919832 |
94 | 15 | 13.2616522008653 | 1.73834779913472 |
95 | 12 | 11.5021975743568 | 0.497802425643212 |
96 | 10 | 9.39950381303553 | 0.600496186964467 |
97 | 8 | 9.49370108808755 | -1.49370108808755 |
98 | 8 | 8.16051735795122 | -0.160517357951225 |
99 | 11 | 12.4720212055406 | -1.47202120554064 |
100 | 13 | 12.5818165031051 | 0.418183496894866 |
101 | 16 | 15.5236625362739 | 0.476337463726132 |
102 | 16 | 15.0442479373467 | 0.955752062653301 |
103 | 14 | 16.2050902994530 | -2.20509029945303 |
104 | 11 | 9.3786282020592 | 1.62137179794081 |
105 | 4 | 7.74128845004528 | -3.74128845004528 |
106 | 14 | 15.1234318658932 | -1.12343186589319 |
107 | 9 | 10.9355728477718 | -1.93557284777184 |
108 | 14 | 15.1029146254051 | -1.10291462540508 |
109 | 8 | 10.4697215653163 | -2.46972156531635 |
110 | 8 | 11.0222268640315 | -3.02222686403148 |
111 | 11 | 11.7399605772429 | -0.739960577242933 |
112 | 12 | 11.7259545405275 | 0.274045459472457 |
113 | 11 | 11.2068372326216 | -0.20683723262155 |
114 | 14 | 13.4501327455468 | 0.549867254453217 |
115 | 15 | 14.4802280286219 | 0.519771971378125 |
116 | 16 | 13.4078344169117 | 2.59216558308832 |
117 | 16 | 13.2638628122735 | 2.73613718772651 |
118 | 11 | 12.6382246488744 | -1.63822464887442 |
119 | 14 | 14.1414093873231 | -0.141409387323128 |
120 | 14 | 10.9504667477682 | 3.04953325223175 |
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 | 1.45071818390696 |
127 | 16 | 15.6975419798839 | 0.302458020116144 |
128 | 12 | 13.2031932925128 | -1.20319329251285 |
129 | 11 | 11.4293830912187 | -0.429383091218686 |
130 | 4 | 6.10612877200011 | -2.10612877200011 |
131 | 16 | 16.0743432204218 | -0.0743432204217903 |
132 | 15 | 12.6257857705249 | 2.37421422947515 |
133 | 10 | 11.0761743627835 | -1.07617436278347 |
134 | 13 | 13.4873970152744 | -0.487397015274438 |
135 | 15 | 13.2655191318124 | 1.73448086818763 |
136 | 12 | 10.3950767885287 | 1.60492321147130 |
137 | 14 | 13.6377868794558 | 0.362213120544226 |
138 | 7 | 10.3648158549381 | -3.36481585493814 |
139 | 19 | 14.0748221740323 | 4.92517782596775 |
140 | 12 | 13.0450278327524 | -1.04502783275237 |
141 | 12 | 11.9822290424360 | 0.017770957564037 |
142 | 13 | 13.5150636392988 | -0.515063639298782 |
143 | 15 | 12.4478409941893 | 2.55215900581071 |
144 | 8 | 9.40102189128404 | -1.40102189128404 |
145 | 12 | 10.7702217095278 | 1.22977829047224 |
146 | 10 | 10.8018247307924 | -0.80182473079244 |
147 | 8 | 11.1739712445785 | -3.17397124457851 |
148 | 10 | 14.7937263715450 | -4.79372637154504 |
149 | 15 | 13.8677393419999 | 1.13226065800013 |
150 | 16 | 14.5114376971260 | 1.48856230287396 |
151 | 13 | 13.1972777828502 | -0.197277782850188 |
152 | 16 | 15.2288615510811 | 0.771138448918888 |
153 | 9 | 9.84022680652135 | -0.840226806521354 |
154 | 14 | 12.7935752210566 | 1.20642477894339 |
155 | 14 | 13.1839295279290 | 0.816070472070984 |
156 | 12 | 10.2218177031707 | 1.77818229682926 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.789856754638046 | 0.420286490723907 | 0.210143245361953 |
14 | 0.794290257201504 | 0.411419485596992 | 0.205709742798496 |
15 | 0.720281079680346 | 0.559437840639308 | 0.279718920319654 |
16 | 0.652360434596922 | 0.695279130806156 | 0.347639565403078 |
17 | 0.559647021224976 | 0.880705957550048 | 0.440352978775024 |
18 | 0.461611528974334 | 0.923223057948668 | 0.538388471025666 |
19 | 0.366800294452807 | 0.733600588905615 | 0.633199705547193 |
20 | 0.7874859103077 | 0.425028179384601 | 0.212514089692301 |
21 | 0.746649252642219 | 0.506701494715563 | 0.253350747357781 |
22 | 0.715504873072459 | 0.568990253855082 | 0.284495126927541 |
23 | 0.649591316169457 | 0.700817367661086 | 0.350408683830543 |
24 | 0.677632001947583 | 0.644735996104833 | 0.322367998052417 |
25 | 0.61206367099689 | 0.775872658006222 | 0.387936329003111 |
26 | 0.542401760210631 | 0.915196479578738 | 0.457598239789369 |
27 | 0.779451156916408 | 0.441097686167184 | 0.220548843083592 |
28 | 0.722935064379629 | 0.554129871240742 | 0.277064935620371 |
29 | 0.673630398785584 | 0.652739202428833 | 0.326369601214416 |
30 | 0.82041456995533 | 0.359170860089339 | 0.179585430044670 |
31 | 0.86360228890417 | 0.272795422191660 | 0.136397711095830 |
32 | 0.829536882497178 | 0.340926235005643 | 0.170463117502821 |
33 | 0.793887141927808 | 0.412225716144383 | 0.206112858072192 |
34 | 0.74801120861961 | 0.503977582760781 | 0.251988791380391 |
35 | 0.726702639941764 | 0.546594720116472 | 0.273297360058236 |
36 | 0.729559521730714 | 0.540880956538572 | 0.270440478269286 |
37 | 0.696963145270283 | 0.606073709459435 | 0.303036854729717 |
38 | 0.714191519632903 | 0.571616960734194 | 0.285808480367097 |
39 | 0.670387563368332 | 0.659224873263335 | 0.329612436631668 |
40 | 0.631597275384731 | 0.736805449230539 | 0.368402724615269 |
41 | 0.599846621122815 | 0.80030675775437 | 0.400153378877185 |
42 | 0.858905884951662 | 0.282188230096676 | 0.141094115048338 |
43 | 0.944000158658084 | 0.111999682683831 | 0.0559998413419157 |
44 | 0.949119846429745 | 0.101760307140511 | 0.0508801535702555 |
45 | 0.933842776755845 | 0.132314446488309 | 0.0661572232441546 |
46 | 0.93994727887907 | 0.120105442241860 | 0.0600527211209302 |
47 | 0.934796900723957 | 0.130406198552087 | 0.0652030992760433 |
48 | 0.920770403555792 | 0.158459192888415 | 0.0792295964442076 |
49 | 0.919012806743867 | 0.161974386512267 | 0.0809871932561333 |
50 | 0.905959821703128 | 0.188080356593743 | 0.0940401782968716 |
51 | 0.894811508700092 | 0.210376982599816 | 0.105188491299908 |
52 | 0.978157470213162 | 0.0436850595736768 | 0.0218425297868384 |
53 | 0.971164838151099 | 0.057670323697802 | 0.028835161848901 |
54 | 0.97667337797608 | 0.0466532440478382 | 0.0233266220239191 |
55 | 0.978581189897702 | 0.0428376202045961 | 0.0214188101022980 |
56 | 0.973878198000593 | 0.0522436039988148 | 0.0261218019994074 |
57 | 0.965858522295067 | 0.0682829554098662 | 0.0341414777049331 |
58 | 0.959475176615094 | 0.0810496467698117 | 0.0405248233849058 |
59 | 0.972211977397614 | 0.0555760452047727 | 0.0277880226023863 |
60 | 0.966988960278706 | 0.0660220794425888 | 0.0330110397212944 |
61 | 0.966475616449683 | 0.0670487671006331 | 0.0335243835503165 |
62 | 0.963719585700956 | 0.0725608285980886 | 0.0362804142990443 |
63 | 0.97516671113401 | 0.049666577731981 | 0.0248332888659905 |
64 | 0.97952499290963 | 0.0409500141807413 | 0.0204750070903706 |
65 | 0.979991337015718 | 0.0400173259685635 | 0.0200086629842817 |
66 | 0.978033533804373 | 0.0439329323912535 | 0.0219664661956268 |
67 | 0.981027901073737 | 0.0379441978525267 | 0.0189720989262633 |
68 | 0.984639352940902 | 0.0307212941181955 | 0.0153606470590977 |
69 | 0.983258741185671 | 0.0334825176286586 | 0.0167412588143293 |
70 | 0.978464810038453 | 0.0430703799230934 | 0.0215351899615467 |
71 | 0.97843875569584 | 0.043122488608318 | 0.021561244304159 |
72 | 0.971736232525735 | 0.0565275349485301 | 0.0282637674742651 |
73 | 0.96722932069742 | 0.0655413586051578 | 0.0327706793025789 |
74 | 0.983171346943996 | 0.0336573061120082 | 0.0168286530560041 |
75 | 0.978631496071622 | 0.0427370078567551 | 0.0213685039283776 |
76 | 0.97635682845968 | 0.0472863430806391 | 0.0236431715403196 |
77 | 0.969335964613115 | 0.0613280707737694 | 0.0306640353868847 |
78 | 0.959907761006203 | 0.080184477987593 | 0.0400922389937965 |
79 | 0.974872137223659 | 0.0502557255526825 | 0.0251278627763412 |
80 | 0.973524285597229 | 0.0529514288055429 | 0.0264757144027715 |
81 | 0.979794345741267 | 0.0404113085174653 | 0.0202056542587327 |
82 | 0.97938721677699 | 0.0412255664460185 | 0.0206127832230093 |
83 | 0.972650243757004 | 0.0546995124859916 | 0.0273497562429958 |
84 | 0.967176595754993 | 0.0656468084900135 | 0.0328234042450067 |
85 | 0.989707413712195 | 0.0205851725756105 | 0.0102925862878052 |
86 | 0.98649381468275 | 0.0270123706344995 | 0.0135061853172497 |
87 | 0.981899927358457 | 0.0362001452830863 | 0.0181000726415431 |
88 | 0.975755405295073 | 0.0484891894098536 | 0.0242445947049268 |
89 | 0.970320439332826 | 0.0593591213343482 | 0.0296795606671741 |
90 | 0.961635292062186 | 0.0767294158756289 | 0.0383647079378144 |
91 | 0.95349478122867 | 0.0930104375426584 | 0.0465052187713292 |
92 | 0.977456689084616 | 0.0450866218307677 | 0.0225433109153838 |
93 | 0.969990325502287 | 0.0600193489954256 | 0.0300096744977128 |
94 | 0.964419862773051 | 0.0711602744538971 | 0.0355801372269485 |
95 | 0.953778692720702 | 0.0924426145585954 | 0.0462213072792977 |
96 | 0.940649793686264 | 0.118700412627471 | 0.0593502063137357 |
97 | 0.927789235403596 | 0.144421529192807 | 0.0722107645964036 |
98 | 0.910113670632 | 0.179772658735999 | 0.0898863293679996 |
99 | 0.907106610992192 | 0.185786778015617 | 0.0928933890078084 |
100 | 0.884607078733035 | 0.23078584253393 | 0.115392921266965 |
101 | 0.860615361519267 | 0.278769276961466 | 0.139384638480733 |
102 | 0.83587156696296 | 0.32825686607408 | 0.16412843303704 |
103 | 0.875796479709201 | 0.248407040581598 | 0.124203520290799 |
104 | 0.914359596350102 | 0.171280807299797 | 0.0856404036498984 |
105 | 0.925043542953849 | 0.149912914092302 | 0.0749564570461511 |
106 | 0.909435769665577 | 0.181128460668845 | 0.0905642303344224 |
107 | 0.905858722900243 | 0.188282554199513 | 0.0941412770997566 |
108 | 0.910164860487339 | 0.179670279025322 | 0.089835139512661 |
109 | 0.908865267778052 | 0.182269464443895 | 0.0911347322219477 |
110 | 0.901221164039377 | 0.197557671921246 | 0.0987788359606229 |
111 | 0.886025292846051 | 0.227949414307898 | 0.113974707153949 |
112 | 0.899915057077616 | 0.200169885844768 | 0.100084942922384 |
113 | 0.871777571593192 | 0.256444856813617 | 0.128222428406808 |
114 | 0.841065216834467 | 0.317869566331067 | 0.158934783165533 |
115 | 0.802814400797231 | 0.394371198405538 | 0.197185599202769 |
116 | 0.792288192023945 | 0.415423615952111 | 0.207711807976055 |
117 | 0.801063213911621 | 0.397873572176757 | 0.198936786088379 |
118 | 0.792850862305772 | 0.414298275388456 | 0.207149137694228 |
119 | 0.745725907062652 | 0.508548185874696 | 0.254274092937348 |
120 | 0.81587134627801 | 0.368257307443979 | 0.184128653721989 |
121 | 0.78347260470419 | 0.433054790591622 | 0.216527395295811 |
122 | 0.739600669094388 | 0.520798661811224 | 0.260399330905612 |
123 | 0.731701256823724 | 0.536597486352553 | 0.268298743176276 |
124 | 0.677187246593199 | 0.645625506813603 | 0.322812753406801 |
125 | 0.682576594490703 | 0.634846811018594 | 0.317423405509297 |
126 | 0.6522920413469 | 0.6954159173062 | 0.3477079586531 |
127 | 0.588959466234945 | 0.82208106753011 | 0.411040533765055 |
128 | 0.552166421609131 | 0.895667156781738 | 0.447833578390869 |
129 | 0.49903524125999 | 0.99807048251998 | 0.50096475874001 |
130 | 0.44494380864256 | 0.88988761728512 | 0.55505619135744 |
131 | 0.374981421696104 | 0.749962843392208 | 0.625018578303896 |
132 | 0.375366110833356 | 0.750732221666712 | 0.624633889166644 |
133 | 0.37547158393236 | 0.75094316786472 | 0.62452841606764 |
134 | 0.335005100297721 | 0.670010200595443 | 0.664994899702279 |
135 | 0.299849971717293 | 0.599699943434586 | 0.700150028282707 |
136 | 0.301040174722991 | 0.602080349445982 | 0.698959825277009 |
137 | 0.226501992443876 | 0.453003984887752 | 0.773498007556124 |
138 | 0.351490911221509 | 0.702981822443019 | 0.64850908877849 |
139 | 0.618000476480684 | 0.763999047038632 | 0.381999523519316 |
140 | 0.813317324653412 | 0.373365350693175 | 0.186682675346588 |
141 | 0.74603262934877 | 0.507934741302459 | 0.253967370651229 |
142 | 0.719534248872319 | 0.560931502255363 | 0.280465751127681 |
143 | 0.610057764065747 | 0.779884471868506 | 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 |