Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.0342768235376193 + 0.106305539542869FindingFriends[t] + 0.21144283590659KnowingPeople[t] + 0.357652188002145Liked[t] + 0.60600258577461Celebrity[t] + 0.212600241949771SumFriends[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) | 0.0342768235376193 | 1.423283 | 0.0241 | 0.980818 | 0.490409 |
FindingFriends | 0.106305539542869 | 0.095517 | 1.113 | 0.267509 | 0.133755 |
KnowingPeople | 0.21144283590659 | 0.063626 | 3.3232 | 0.001118 | 0.000559 |
Liked | 0.357652188002145 | 0.095931 | 3.7282 | 0.000273 | 0.000136 |
Celebrity | 0.60600258577461 | 0.155396 | 3.8997 | 0.000145 | 7.2e-05 |
SumFriends | 0.212600241949771 | 0.12003 | 1.7712 | 0.078554 | 0.039277 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.713764528070818 |
R-squared | 0.509459801532158 |
Adjusted R-squared | 0.49310846158323 |
F-TEST (value) | 31.1570674405528 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 150 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.09077045674136 |
Sum Squared Residuals | 655.69816541737 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.2691352255384 | 1.73086477446163 |
2 | 12 | 10.8935776001555 | 1.10642239984454 |
3 | 15 | 12.9930967725273 | 2.00690322747266 |
4 | 12 | 11.0367690272923 | 0.963230972707738 |
5 | 10 | 10.8137483007782 | -0.813748300778157 |
6 | 12 | 9.11247740469751 | 2.88752259530249 |
7 | 15 | 16.7228950081851 | -1.72289500818514 |
8 | 9 | 10.2065991460963 | -1.20659914609634 |
9 | 12 | 12.5516849436719 | -0.551684943671851 |
10 | 11 | 7.58364711135212 | 3.41635288864788 |
11 | 11 | 13.2298367682844 | -2.2298367682844 |
12 | 11 | 11.9888567475975 | -0.98885674759747 |
13 | 15 | 12.4013110977103 | 2.59868890228966 |
14 | 7 | 11.4135057329903 | -4.41350573299035 |
15 | 11 | 11.5007484291092 | -0.500748429109222 |
16 | 11 | 10.6294848179095 | 0.370515182090483 |
17 | 10 | 11.9888567475975 | -1.98885674759747 |
18 | 14 | 14.3715315456393 | -0.371531545639309 |
19 | 10 | 8.53921788692282 | 1.46078211307718 |
20 | 6 | 9.25218577656882 | -3.25218577656881 |
21 | 11 | 8.75781063024621 | 2.24218936975379 |
22 | 15 | 14.4084391075052 | 0.591560892494816 |
23 | 11 | 11.8322160738016 | -0.832216073801606 |
24 | 12 | 9.57342804441975 | 2.42657195558025 |
25 | 14 | 12.9796800372762 | 1.02031996272380 |
26 | 15 | 14.5818169755027 | 0.418183024497282 |
27 | 9 | 14.407281701462 | -5.407281701462 |
28 | 13 | 12.7324653712750 | 0.267534628725014 |
29 | 13 | 13.0195730126929 | -0.0195730126929230 |
30 | 16 | 11.0704276862825 | 4.92957231371746 |
31 | 13 | 8.71190347918394 | 4.28809652081606 |
32 | 12 | 13.5868291919580 | -1.58682919195803 |
33 | 14 | 14.7273448889978 | -0.727344888997824 |
34 | 11 | 10.0749530981592 | 0.925046901840848 |
35 | 9 | 10.4191993880461 | -1.41919938804611 |
36 | 16 | 14.4379224354935 | 1.56207756450647 |
37 | 12 | 13.0629707176471 | -1.06297071764708 |
38 | 10 | 9.56924187628186 | 0.430758123718142 |
39 | 13 | 12.8745319037765 | 0.125468096223484 |
40 | 16 | 15.6141774512200 | 0.385822548779951 |
41 | 14 | 12.9819948493626 | 1.01800515063743 |
42 | 15 | 8.01302292625358 | 6.98697707374642 |
43 | 5 | 9.64283685923271 | -4.64283685923271 |
44 | 8 | 10.2465029586490 | -2.24650295864902 |
45 | 11 | 11.2482227003348 | -0.248222700334833 |
46 | 16 | 13.8393440835965 | 2.16065591640355 |
47 | 17 | 14.3258260355590 | 2.67417396444096 |
48 | 9 | 8.18274477923579 | 0.81725522076421 |
49 | 9 | 11.4204431622892 | -2.42044316228919 |
50 | 13 | 14.476679679139 | -1.47667967913900 |
51 | 10 | 11.0778519201601 | -1.07785192016008 |
52 | 6 | 12.3706595265429 | -6.37065952654285 |
53 | 12 | 12.0970011317840 | -0.0970011317839686 |
54 | 8 | 10.5001752563306 | -2.50017525633063 |
55 | 14 | 11.8444970772815 | 2.15550292271849 |
56 | 12 | 12.9063300438512 | -0.906330043851219 |
57 | 11 | 10.6693777933262 | 0.330622206673764 |
58 | 16 | 14.5829635444099 | 1.41703645559007 |
59 | 8 | 10.5326548350058 | -2.53265483500578 |
60 | 15 | 14.5880838033371 | 0.411916196662928 |
61 | 7 | 9.11131999865433 | -2.11131999865433 |
62 | 16 | 14.1865757870343 | 1.81342421296575 |
63 | 14 | 13.1488825742718 | 0.851117425728186 |
64 | 16 | 13.3772360378310 | 2.62276396216897 |
65 | 9 | 10.4319238475608 | -1.43192384756085 |
66 | 14 | 12.1633920216382 | 1.83660797836181 |
67 | 11 | 13.2598285751234 | -2.25982857512337 |
68 | 13 | 10.3244825762467 | 2.67551742375327 |
69 | 15 | 13.1945950913123 | 1.80540490868766 |
70 | 5 | 5.79379231622363 | -0.793792316223632 |
71 | 15 | 12.9063300438512 | 2.09366995614878 |
72 | 13 | 12.5885925055377 | 0.411407494462273 |
73 | 11 | 12.4170534821838 | -1.41705348218382 |
74 | 11 | 14.1988134419703 | -3.19881344197029 |
75 | 12 | 12.77054117632 | -0.770541176320009 |
76 | 12 | 13.4048805211757 | -1.40488052117575 |
77 | 12 | 12.3360884510353 | -0.33608845103527 |
78 | 12 | 11.9507701054165 | 0.0492298945835183 |
79 | 14 | 10.8578274443328 | 3.14217255566723 |
80 | 6 | 7.93737979501417 | -1.93737979501417 |
81 | 7 | 9.71847999047212 | -2.71847999047212 |
82 | 14 | 12.4117099080028 | 1.58829009199725 |
83 | 14 | 14.1612461157759 | -0.161246115775900 |
84 | 10 | 11.1702430827371 | -1.17024308273712 |
85 | 13 | 9.11479221678387 | 3.88520778321613 |
86 | 12 | 12.3066051230469 | -0.306605123046929 |
87 | 9 | 9.32091315278133 | -0.320913152781326 |
88 | 12 | 11.9242830281150 | 0.0757169718850493 |
89 | 16 | 14.8018414513300 | 1.19815854866998 |
90 | 10 | 10.4602606066420 | -0.460260606641974 |
91 | 14 | 13.1017171241566 | 0.898282875843412 |
92 | 10 | 13.5909936858240 | -3.59099368582398 |
93 | 16 | 15.5078827488131 | 0.492117251186852 |
94 | 15 | 13.4037122779966 | 1.5962877220034 |
95 | 12 | 11.4891488642298 | 0.510851135770237 |
96 | 10 | 9.3596703964268 | 0.640329603573203 |
97 | 8 | 10.1222811445894 | -2.12228114458937 |
98 | 8 | 8.71607881018586 | -0.716078810185863 |
99 | 11 | 12.6649170753776 | -1.66491707537759 |
100 | 13 | 12.5591091775494 | 0.440890822450614 |
101 | 16 | 15.6130200451769 | 0.386979954823131 |
102 | 16 | 14.9387877249044 | 1.06121227509559 |
103 | 14 | 15.4034377281858 | -1.40343772818584 |
104 | 11 | 9.04723308375051 | 1.95276691624949 |
105 | 4 | 7.15683109806288 | -3.15683109806288 |
106 | 14 | 14.7389336167413 | -0.738933616741316 |
107 | 9 | 10.5284903411398 | -1.52849034113982 |
108 | 14 | 15.2258845291864 | -1.22588452918638 |
109 | 8 | 10.2494992093358 | -2.24949920933583 |
110 | 8 | 10.6827945285774 | -2.68279452857739 |
111 | 11 | 11.8843900526982 | -0.884390052698232 |
112 | 12 | 13.1604604648793 | -1.16046046487934 |
113 | 11 | 11.0755371080737 | -0.0755371080737139 |
114 | 14 | 13.2720987414673 | 0.727901258532688 |
115 | 15 | 14.4495111632370 | 0.550488836762983 |
116 | 16 | 13.4447843337284 | 2.55521566627157 |
117 | 16 | 12.913289147422 | 3.08671085257801 |
118 | 11 | 12.7851369918863 | -1.78513699188628 |
119 | 14 | 14.1877331930774 | -0.187733193077431 |
120 | 14 | 10.8819888724120 | 3.11801112758803 |
121 | 12 | 11.5585468419068 | 0.441453158093244 |
122 | 14 | 12.5463630437627 | 1.45363695623729 |
123 | 8 | 10.8854610905415 | -2.88546109054152 |
124 | 13 | 14.0814384906705 | -1.08143849067053 |
125 | 16 | 13.9751329511277 | 2.02486704887234 |
126 | 12 | 10.6157438743947 | 1.38425612560534 |
127 | 16 | 15.4783994208248 | 0.521600579175193 |
128 | 12 | 12.7670797953264 | -0.767079795326434 |
129 | 11 | 11.4614935437491 | -0.461493543749085 |
130 | 4 | 6.00799725042713 | -2.00799725042713 |
131 | 16 | 16.1162001466741 | -0.116200146674119 |
132 | 15 | 12.6642464739131 | 2.33575352608689 |
133 | 10 | 11.3605315783873 | -1.36053157838729 |
134 | 13 | 14.0185198189459 | -1.01851981894585 |
135 | 15 | 13.1270467954149 | 1.87295320458506 |
136 | 12 | 10.4990178502874 | 1.50098214971256 |
137 | 14 | 13.6562271696350 | 0.343772830364979 |
138 | 7 | 10.3811344201371 | -3.38113442013705 |
139 | 19 | 13.9075846552303 | 5.09241534476974 |
140 | 12 | 12.9450764503607 | -0.945076450360723 |
141 | 12 | 11.8728121620907 | 0.127187837909294 |
142 | 13 | 13.3384896313215 | -0.338489631321529 |
143 | 15 | 12.4165883518771 | 2.58341164812294 |
144 | 8 | 8.84468525889237 | -0.844685258892373 |
145 | 12 | 10.9230609281438 | 1.07693907185619 |
146 | 10 | 10.7601143818466 | -0.760114381846583 |
147 | 8 | 11.2512297881576 | -3.25122978815761 |
148 | 10 | 14.6517017577584 | -4.65170175775841 |
149 | 15 | 13.8676700055416 | 1.13232999445839 |
150 | 16 | 14.0600608351602 | 1.93993916483983 |
151 | 13 | 13.2702490596877 | -0.270249059687716 |
152 | 16 | 15.0838396709568 | 0.916160329043213 |
153 | 9 | 9.82245988079266 | -0.822459880792662 |
154 | 14 | 13.0606450684248 | 0.939354931575244 |
155 | 14 | 13.1546804416237 | 0.845319558376316 |
156 | 12 | 10.1738452409605 | 1.82615475903955 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.113043399422145 | 0.226086798844289 | 0.886956600577856 |
10 | 0.0501338279117769 | 0.100267655823554 | 0.949866172088223 |
11 | 0.0726791202759016 | 0.145358240551803 | 0.927320879724098 |
12 | 0.0362939892148767 | 0.0725879784297535 | 0.963706010785123 |
13 | 0.455723219571891 | 0.911446439143783 | 0.544276780428109 |
14 | 0.76911689565418 | 0.461766208691640 | 0.230883104345820 |
15 | 0.690843322338694 | 0.618313355322612 | 0.309156677661306 |
16 | 0.602492647173724 | 0.795014705652552 | 0.397507352826276 |
17 | 0.546776085151918 | 0.906447829696164 | 0.453223914848082 |
18 | 0.460483749436226 | 0.920967498872452 | 0.539516250563774 |
19 | 0.383961884720282 | 0.767923769440564 | 0.616038115279718 |
20 | 0.681648999560028 | 0.636702000879943 | 0.318351000439972 |
21 | 0.622480475370067 | 0.755039049259867 | 0.377519524629933 |
22 | 0.591384359560492 | 0.817231280879017 | 0.408615640439508 |
23 | 0.5217220838681 | 0.956555832263801 | 0.478277916131900 |
24 | 0.505471724232079 | 0.989056551535841 | 0.494528275767921 |
25 | 0.466600374283114 | 0.933200748566229 | 0.533399625716886 |
26 | 0.405702343192011 | 0.811404686384022 | 0.594297656807989 |
27 | 0.665652538596127 | 0.668694922807745 | 0.334347461403873 |
28 | 0.609240659024031 | 0.781518681951937 | 0.390759340975969 |
29 | 0.54821780570686 | 0.90356438858628 | 0.45178219429314 |
30 | 0.696729243596925 | 0.60654151280615 | 0.303270756403075 |
31 | 0.796779695025199 | 0.406440609949603 | 0.203220304974801 |
32 | 0.759015830700385 | 0.481968338599230 | 0.240984169299615 |
33 | 0.712632486930885 | 0.57473502613823 | 0.287367513069115 |
34 | 0.670862179082851 | 0.658275641834298 | 0.329137820917149 |
35 | 0.660485468173782 | 0.679029063652437 | 0.339514531826218 |
36 | 0.662086475116607 | 0.675827049766786 | 0.337913524883393 |
37 | 0.631567039740653 | 0.736865920518695 | 0.368432960259347 |
38 | 0.581458293971188 | 0.837083412057624 | 0.418541706028812 |
39 | 0.534260918670243 | 0.931478162659513 | 0.465739081329757 |
40 | 0.493752920990991 | 0.987505841981983 | 0.506247079009009 |
41 | 0.461026226065895 | 0.92205245213179 | 0.538973773934105 |
42 | 0.786974579954076 | 0.426050840091848 | 0.213025420045924 |
43 | 0.944150764127681 | 0.111698471744638 | 0.0558492358723188 |
44 | 0.950160257918895 | 0.0996794841622107 | 0.0498397420811053 |
45 | 0.936085569397635 | 0.127828861204730 | 0.0639144306023652 |
46 | 0.94292613685323 | 0.114147726293540 | 0.0570738631467698 |
47 | 0.941015504220451 | 0.117968991559097 | 0.0589844957795486 |
48 | 0.928614456995934 | 0.142771086008132 | 0.0713855430040658 |
49 | 0.928216744769153 | 0.143566510461695 | 0.0717832552308476 |
50 | 0.917211581742264 | 0.165576836515471 | 0.0827884182577357 |
51 | 0.911008943171923 | 0.177982113656155 | 0.0889910568280774 |
52 | 0.988136800506383 | 0.0237263989872342 | 0.0118631994936171 |
53 | 0.983915640787094 | 0.0321687184258113 | 0.0160843592129057 |
54 | 0.989114188181053 | 0.0217716236378930 | 0.0108858118189465 |
55 | 0.991604992732137 | 0.0167900145357257 | 0.00839500726786285 |
56 | 0.98927481761204 | 0.0214503647759218 | 0.0107251823879609 |
57 | 0.98551004684779 | 0.0289799063044212 | 0.0144899531522106 |
58 | 0.983099824833785 | 0.0338003503324295 | 0.0169001751662147 |
59 | 0.989731760158278 | 0.0205364796834450 | 0.0102682398417225 |
60 | 0.987916792330477 | 0.0241664153390456 | 0.0120832076695228 |
61 | 0.988395472840583 | 0.0232090543188331 | 0.0116045271594166 |
62 | 0.988181561011165 | 0.023636877977669 | 0.0118184389888345 |
63 | 0.986195084184616 | 0.0276098316307688 | 0.0138049158153844 |
64 | 0.988838717434339 | 0.0223225651313223 | 0.0111612825656612 |
65 | 0.987927903805505 | 0.0241441923889896 | 0.0120720961944948 |
66 | 0.987047186436876 | 0.0259056271262485 | 0.0129528135631242 |
67 | 0.987689908526173 | 0.0246201829476538 | 0.0123100914738269 |
68 | 0.990035502882632 | 0.0199289942347356 | 0.00996449711736778 |
69 | 0.989337132793422 | 0.0213257344131551 | 0.0106628672065776 |
70 | 0.986218965835914 | 0.0275620683281719 | 0.0137810341640860 |
71 | 0.986490148403316 | 0.0270197031933689 | 0.0135098515966845 |
72 | 0.98204295712047 | 0.0359140857590597 | 0.0179570428795298 |
73 | 0.979098961086386 | 0.0418020778272285 | 0.0209010389136143 |
74 | 0.98622213946454 | 0.0275557210709192 | 0.0137778605354596 |
75 | 0.982088938972489 | 0.0358221220550231 | 0.0179110610275116 |
76 | 0.979375419819198 | 0.0412491603616045 | 0.0206245801808022 |
77 | 0.973063896771346 | 0.0538722064573077 | 0.0269361032286539 |
78 | 0.96481254668653 | 0.0703749066269418 | 0.0351874533134709 |
79 | 0.976797177525917 | 0.0464056449481659 | 0.0232028224740829 |
80 | 0.975833657037132 | 0.0483326859257354 | 0.0241663429628677 |
81 | 0.979696646575212 | 0.0406067068495758 | 0.0203033534247879 |
82 | 0.978950843585816 | 0.042098312828369 | 0.0210491564141845 |
83 | 0.972115647307748 | 0.0557687053845046 | 0.0278843526922523 |
84 | 0.966159185542055 | 0.0676816289158901 | 0.0338408144579451 |
85 | 0.988749360656196 | 0.0225012786876074 | 0.0112506393438037 |
86 | 0.985000968457257 | 0.0299980630854862 | 0.0149990315427431 |
87 | 0.980084627098881 | 0.0398307458022371 | 0.0199153729011185 |
88 | 0.974186201770184 | 0.0516275964596325 | 0.0258137982298163 |
89 | 0.968542688000701 | 0.0629146239985973 | 0.0314573119992987 |
90 | 0.959702745600729 | 0.0805945087985417 | 0.0402972543992709 |
91 | 0.951827757817031 | 0.096344484365938 | 0.048172242182969 |
92 | 0.972877397905895 | 0.0542452041882106 | 0.0271226020941053 |
93 | 0.964832510425725 | 0.070334979148549 | 0.0351674895742745 |
94 | 0.960013484371968 | 0.0799730312560636 | 0.0399865156280318 |
95 | 0.94984346280624 | 0.100313074387521 | 0.0501565371937606 |
96 | 0.937707896342723 | 0.124584207314553 | 0.0622921036572765 |
97 | 0.932666328999002 | 0.134667342001995 | 0.0673336710009975 |
98 | 0.91641256679677 | 0.167174866406461 | 0.0835874332032303 |
99 | 0.911165381803443 | 0.177669236393114 | 0.0888346181965571 |
100 | 0.891111336645835 | 0.217777326708331 | 0.108888663354165 |
101 | 0.866946162597843 | 0.266107674804315 | 0.133053837402158 |
102 | 0.843851140390287 | 0.312297719219425 | 0.156148859609713 |
103 | 0.856407399097918 | 0.287185201804164 | 0.143592600902082 |
104 | 0.897096078383827 | 0.205807843232346 | 0.102903921616173 |
105 | 0.89919148777778 | 0.201617024444439 | 0.100808512222220 |
106 | 0.876914501482186 | 0.246170997035629 | 0.123085498517814 |
107 | 0.856253129727054 | 0.287493740545892 | 0.143746870272946 |
108 | 0.85173782760369 | 0.296524344792621 | 0.148262172396310 |
109 | 0.849240676022668 | 0.301518647954664 | 0.150759323977332 |
110 | 0.873884020699292 | 0.252231958601417 | 0.126115979300708 |
111 | 0.862099121874637 | 0.275801756250726 | 0.137900878125363 |
112 | 0.902424696230432 | 0.195150607539136 | 0.097575303769568 |
113 | 0.876528722266006 | 0.246942555467988 | 0.123471277733994 |
114 | 0.848691047338282 | 0.302617905323436 | 0.151308952661718 |
115 | 0.813930187457869 | 0.372139625084263 | 0.186069812542131 |
116 | 0.812809256857317 | 0.374381486285366 | 0.187190743142683 |
117 | 0.825383224190319 | 0.349233551619362 | 0.174616775809681 |
118 | 0.814932503182843 | 0.370134993634314 | 0.185067496817157 |
119 | 0.77335508183685 | 0.453289836326299 | 0.226644918163149 |
120 | 0.834561940220552 | 0.330876119558896 | 0.165438059779448 |
121 | 0.804605728069574 | 0.390788543860852 | 0.195394271930426 |
122 | 0.777411502658302 | 0.445176994683396 | 0.222588497341698 |
123 | 0.775776866225366 | 0.448446267549267 | 0.224223133774634 |
124 | 0.734242845611249 | 0.531514308777503 | 0.265757154388751 |
125 | 0.730358805270345 | 0.539282389459311 | 0.269641194729655 |
126 | 0.713783863286044 | 0.572432273427912 | 0.286216136713956 |
127 | 0.658185458685668 | 0.683629082628665 | 0.341814541314332 |
128 | 0.627021379630045 | 0.745957240739911 | 0.372978620369955 |
129 | 0.64415478841531 | 0.71169042316938 | 0.35584521158469 |
130 | 0.638798730395771 | 0.722402539208457 | 0.361201269604229 |
131 | 0.573070752088402 | 0.853858495823196 | 0.426929247911598 |
132 | 0.560025620009999 | 0.879948759980003 | 0.439974379990001 |
133 | 0.527713477627487 | 0.944573044745026 | 0.472286522372513 |
134 | 0.460117286236233 | 0.920234572472466 | 0.539882713763767 |
135 | 0.43375822299254 | 0.86751644598508 | 0.56624177700746 |
136 | 0.428314954748377 | 0.856629909496753 | 0.571685045251623 |
137 | 0.355929452694262 | 0.711858905388523 | 0.644070547305738 |
138 | 0.440052178741233 | 0.880104357482467 | 0.559947821258767 |
139 | 0.789116061544987 | 0.421767876910026 | 0.210883938455013 |
140 | 0.811338309789578 | 0.377323380420843 | 0.188661690210422 |
141 | 0.768312391354073 | 0.463375217291854 | 0.231687608645927 |
142 | 0.68483083624476 | 0.630338327510479 | 0.315169163755239 |
143 | 0.642263362748481 | 0.715473274503038 | 0.357736637251519 |
144 | 0.527945014239736 | 0.944109971520527 | 0.472054985760264 |
145 | 0.508045768189991 | 0.983908463620018 | 0.491954231810009 |
146 | 0.672796693169096 | 0.654406613661808 | 0.327203306830904 |
147 | 0.571448072484721 | 0.857103855030559 | 0.428551927515279 |
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 | 32 | 0.230215827338130 | NOK |
10% type I error level | 45 | 0.323741007194245 | NOK |