Multiple Linear Regression - Estimated Regression Equation |
liked[t] = + 6.68487647585357 + 0.0804780908515764findingfriends[t] + 0.171089311176096knowingpeople[t] + 0.554952662162989celebrity[t] + 0.00330749834696466selectfbf[t] -0.00236012166624288selectsbf[t] + 0.00334213262966336`selecttbf `[t] + 0.00590218756718485t + 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) | 6.68487647585357 | 1.062645 | 6.2908 | 0 | 0 |
findingfriends | 0.0804780908515764 | 0.081404 | 0.9886 | 0.32446 | 0.16223 |
knowingpeople | 0.171089311176096 | 0.051901 | 3.2965 | 0.001226 | 0.000613 |
celebrity | 0.554952662162989 | 0.122991 | 4.5121 | 1.3e-05 | 6e-06 |
selectfbf | 0.00330749834696466 | 0.003029 | 1.092 | 0.276588 | 0.138294 |
selectsbf | -0.00236012166624288 | 0.003057 | -0.7719 | 0.441389 | 0.220695 |
`selecttbf ` | 0.00334213262966336 | 0.002762 | 1.21 | 0.228211 | 0.114105 |
t | 0.00590218756718485 | 0.003247 | 1.8178 | 0.071113 | 0.035557 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.610957784065894 |
R-squared | 0.373269413910707 |
Adjusted R-squared | 0.343626751055132 |
F-TEST (value) | 12.5923037255241 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 148 |
p-value | 1.30406796472471e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.76255186325910 |
Sum Squared Residuals | 459.775182460365 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 12.2412764510371 | 0.758723548962934 |
2 | 13 | 12.5492510452934 | 0.450748954706606 |
3 | 16 | 12.8901516541620 | 3.10984834583802 |
4 | 12 | 12.4095002419506 | -0.409500241950638 |
5 | 11 | 12.1954898338014 | -1.19548983380136 |
6 | 12 | 10.5485098561972 | 1.45149014380275 |
7 | 18 | 15.1400072724624 | 2.85999272753762 |
8 | 11 | 11.892234091914 | -0.892234091914003 |
9 | 14 | 12.5427878319715 | 1.45721216802846 |
10 | 9 | 10.4731134123434 | -1.47311341234342 |
11 | 14 | 13.6989839110600 | 0.301016088939982 |
12 | 12 | 13.3914843781074 | -1.39148437810740 |
13 | 11 | 13.5077253284476 | -2.50772532844755 |
14 | 12 | 13.0619744150281 | -1.06197441502812 |
15 | 13 | 12.4274437124940 | 0.57255628750597 |
16 | 11 | 12.4166973187797 | -1.41669731877966 |
17 | 12 | 12.9626491506296 | -0.962649150629632 |
18 | 16 | 13.5052119045738 | 2.49478809542624 |
19 | 9 | 11.4569226873542 | -2.45692268735425 |
20 | 11 | 11.2933506639583 | -0.293350663958290 |
21 | 13 | 10.1062435201726 | 2.89375647982743 |
22 | 15 | 14.2632373618389 | 0.736762638161104 |
23 | 10 | 13.1535936044104 | -3.15359360441045 |
24 | 11 | 11.1960564530903 | -0.196056453090276 |
25 | 13 | 13.8643356966233 | -0.864335696623336 |
26 | 16 | 14.119152223878 | 1.88084777612199 |
27 | 15 | 14.7006872971103 | 0.299312702889659 |
28 | 14 | 13.2155290369884 | 0.78447096301165 |
29 | 14 | 14.0035872018418 | -0.00358720184175349 |
30 | 14 | 11.6357662210824 | 2.36423377891761 |
31 | 8 | 11.34029577117 | -3.34029577117001 |
32 | 13 | 14.0929366237416 | -1.09293662374159 |
33 | 15 | 14.4012678820608 | 0.598732117939154 |
34 | 13 | 11.2922840338619 | 1.70771596613814 |
35 | 11 | 12.5385402892615 | -1.53854028926154 |
36 | 15 | 14.0954218728495 | 0.90457812715049 |
37 | 15 | 13.4114761801123 | 1.58852381988771 |
38 | 9 | 12.1921086960505 | -3.19210869605046 |
39 | 13 | 14.1414892414009 | -1.14148924140091 |
40 | 16 | 14.9424633835402 | 1.05753661645984 |
41 | 13 | 13.6297203365311 | -0.62972033653109 |
42 | 11 | 10.5875055087326 | 0.4124944912674 |
43 | 12 | 11.5419595736635 | 0.458040426336511 |
44 | 12 | 12.1938177720423 | -0.193817772042343 |
45 | 12 | 12.94719430052 | -0.947194300519995 |
46 | 14 | 14.0009860746851 | -0.000986074685144223 |
47 | 14 | 13.6493363845900 | 0.350663615410032 |
48 | 8 | 11.4216993575606 | -3.42169935756063 |
49 | 13 | 13.0582006172276 | -0.0582006172276327 |
50 | 16 | 14.7287886262570 | 1.27121137374303 |
51 | 13 | 12.4327719919004 | 0.567228008099584 |
52 | 11 | 14.0025399921850 | -3.00253999218499 |
53 | 14 | 13.4747836359235 | 0.52521636407655 |
54 | 13 | 11.3181383597696 | 1.68186164023035 |
55 | 13 | 13.0546363292234 | -0.0546363292234351 |
56 | 13 | 13.3887952814912 | -0.388795281491164 |
57 | 12 | 12.5265099394571 | -0.52650993945706 |
58 | 16 | 14.7118736660021 | 1.28812633399790 |
59 | 15 | 10.9098399872551 | 4.09016001274485 |
60 | 15 | 15.3544473216950 | -0.354447321695035 |
61 | 12 | 11.0442194835685 | 0.95578051643149 |
62 | 14 | 14.2495576324261 | -0.249557632426077 |
63 | 12 | 14.3956537173204 | -2.39565371732038 |
64 | 15 | 14.1270905466143 | 0.872909453385653 |
65 | 12 | 11.8191166745717 | 0.180883325428266 |
66 | 13 | 13.1905657649825 | -0.190565764982453 |
67 | 12 | 14.0285792972029 | -2.02857929720291 |
68 | 12 | 12.2856431790989 | -0.285643179098895 |
69 | 13 | 14.0578624192014 | -1.05786241920144 |
70 | 5 | 10.1742054615072 | -5.17420546150722 |
71 | 13 | 13.3634865890547 | -0.363486589054693 |
72 | 13 | 13.2811376779636 | -0.281137677963601 |
73 | 14 | 13.1770608532435 | 0.822939146756533 |
74 | 17 | 13.7576458299441 | 3.24235417005586 |
75 | 13 | 13.8884682145868 | -0.888468214586758 |
76 | 13 | 14.5393126769409 | -1.5393126769409 |
77 | 12 | 13.73108124722 | -1.73108124722001 |
78 | 13 | 12.8078283904091 | 0.192171609590942 |
79 | 14 | 12.3862499975458 | 1.61375000245418 |
80 | 11 | 10.4543721653008 | 0.545627834699243 |
81 | 12 | 11.6639169019733 | 0.336083098026707 |
82 | 12 | 13.3317410554062 | -1.33174105540617 |
83 | 16 | 13.9750870526317 | 2.02491294736828 |
84 | 12 | 13.1091272321134 | -1.10912723211341 |
85 | 12 | 10.5463045392097 | 1.45369546079026 |
86 | 12 | 13.8069869235033 | -1.80698692350330 |
87 | 10 | 11.6616138613276 | -1.66161386132758 |
88 | 15 | 12.5853516984990 | 2.41464830150104 |
89 | 15 | 15.2872147832097 | -0.287214783209686 |
90 | 12 | 12.0979694998763 | -0.0979694998763433 |
91 | 16 | 13.2794291467672 | 2.72057085323277 |
92 | 15 | 13.9408797936226 | 1.05912020637738 |
93 | 16 | 15.2636191786083 | 0.73638082139174 |
94 | 13 | 14.9482687822939 | -1.94826878229385 |
95 | 12 | 12.6663420064809 | -0.666342006480869 |
96 | 11 | 12.1232685518916 | -1.12326855189158 |
97 | 13 | 11.8348085235139 | 1.16519147648613 |
98 | 10 | 11.2414466685161 | -1.24144666851609 |
99 | 15 | 13.3183250160991 | 1.68167498390088 |
100 | 13 | 13.9733775621092 | -0.973377562109227 |
101 | 16 | 15.4806887212472 | 0.519311278752849 |
102 | 15 | 15.0685137262809 | -0.0685137262809203 |
103 | 18 | 14.6990371527316 | 3.30096284726836 |
104 | 13 | 10.7240782413135 | 2.27592175868646 |
105 | 10 | 10.4210863327862 | -0.421086332786162 |
106 | 16 | 15.0793533677046 | 0.920646632295382 |
107 | 13 | 11.5548791440735 | 1.44512085592652 |
108 | 15 | 15.4605022774142 | -0.460502277414208 |
109 | 14 | 11.9458435343159 | 2.05415646568413 |
110 | 15 | 11.6638998049924 | 3.33610019500760 |
111 | 14 | 13.3191355817355 | 0.680864418264513 |
112 | 13 | 14.764795042679 | -1.76479504267901 |
113 | 13 | 13.3016576607498 | -0.301657660749802 |
114 | 15 | 14.3561188776616 | 0.643881122338433 |
115 | 16 | 14.7803841209011 | 1.21961587909889 |
116 | 14 | 14.5997422003543 | -0.599742200354303 |
117 | 14 | 14.2562178902544 | -0.256217890254429 |
118 | 16 | 13.3053910537611 | 2.69460894623890 |
119 | 14 | 14.7100053530057 | -0.710005353005711 |
120 | 12 | 12.9242922224764 | -0.9242922224764 |
121 | 13 | 12.8091147825838 | 0.190885217416204 |
122 | 12 | 14.0030273251826 | -2.00302732518263 |
123 | 12 | 12.2735552407858 | -0.273555240785795 |
124 | 14 | 14.6227499100675 | -0.622749910067525 |
125 | 14 | 14.5826488947704 | -0.582648894770411 |
126 | 14 | 12.1955883774093 | 1.80441162259069 |
127 | 16 | 15.5201963586449 | 0.479803641355146 |
128 | 13 | 14.5858352055783 | -1.58583520557829 |
129 | 14 | 13.3054114132075 | 0.694588586792506 |
130 | 4 | 11.3423321021088 | -7.34233210210876 |
131 | 16 | 15.3978494898521 | 0.602150510147868 |
132 | 13 | 13.5934505145228 | -0.593450514522837 |
133 | 16 | 12.0869721191611 | 3.91302788083886 |
134 | 15 | 13.7336831868418 | 1.26631681315817 |
135 | 14 | 13.9975315233723 | 0.00246847662768872 |
136 | 13 | 12.1170819570579 | 0.882918042942112 |
137 | 14 | 14.5911438736323 | -0.591143873632276 |
138 | 12 | 12.3541344821222 | -0.354134482122223 |
139 | 15 | 14.4759550365291 | 0.524044963470921 |
140 | 14 | 13.7577560818821 | 0.242243918117944 |
141 | 13 | 13.3727877505990 | -0.372787750598957 |
142 | 14 | 14.3148335968670 | -0.314833596866979 |
143 | 16 | 13.7165697344689 | 2.28343026553106 |
144 | 6 | 12.3421935818361 | -6.34219358183612 |
145 | 13 | 12.9479737161740 | 0.0520262838259557 |
146 | 13 | 13.1810783373908 | -0.181078337390845 |
147 | 14 | 12.9163903113887 | 1.08360968861134 |
148 | 15 | 14.8777635333202 | 0.122236466679822 |
149 | 14 | 14.4494877870511 | -0.449487787051067 |
150 | 15 | 15.2846955848154 | -0.284695584815386 |
151 | 13 | 14.2434534268062 | -1.24345342680624 |
152 | 16 | 15.062457124864 | 0.93754287513601 |
153 | 12 | 12.0024567156971 | -0.00245671569706828 |
154 | 15 | 14.2068656799723 | 0.79313432002769 |
155 | 12 | 14.5793882744699 | -2.57938827446993 |
156 | 14 | 12.0809652568081 | 1.91903474319191 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.614183251547004 | 0.771633496905992 | 0.385816748452996 |
12 | 0.457004356795727 | 0.914008713591454 | 0.542995643204273 |
13 | 0.423487303203681 | 0.846974606407362 | 0.576512696796319 |
14 | 0.518839327700192 | 0.962321344599616 | 0.481160672299808 |
15 | 0.408997650337011 | 0.817995300674023 | 0.591002349662989 |
16 | 0.312380412120605 | 0.624760824241209 | 0.687619587879395 |
17 | 0.231212437541904 | 0.462424875083808 | 0.768787562458096 |
18 | 0.312357243297686 | 0.624714486595372 | 0.687642756702314 |
19 | 0.252483372581924 | 0.504966745163848 | 0.747516627418076 |
20 | 0.276824932888765 | 0.55364986577753 | 0.723175067111235 |
21 | 0.737028280539688 | 0.525943438920624 | 0.262971719460312 |
22 | 0.689393732298444 | 0.621212535403111 | 0.310606267701556 |
23 | 0.75943098865341 | 0.481138022693179 | 0.240569011346590 |
24 | 0.698155808438477 | 0.603688383123046 | 0.301844191561523 |
25 | 0.632257905215796 | 0.735484189568408 | 0.367742094784204 |
26 | 0.67556684137588 | 0.64886631724824 | 0.32443315862412 |
27 | 0.614276576169619 | 0.771446847660761 | 0.385723423830381 |
28 | 0.563799888417966 | 0.872400223164068 | 0.436200111582034 |
29 | 0.501138558576353 | 0.997722882847294 | 0.498861441423647 |
30 | 0.521191951726215 | 0.95761609654757 | 0.478808048273785 |
31 | 0.701839794095751 | 0.596320411808497 | 0.298160205904249 |
32 | 0.665012059003457 | 0.669975881993085 | 0.334987940996543 |
33 | 0.632665535022916 | 0.734668929954167 | 0.367334464977083 |
34 | 0.677499959830684 | 0.645000080338631 | 0.322500040169316 |
35 | 0.641879201811494 | 0.716241596377011 | 0.358120798188506 |
36 | 0.607649647537517 | 0.784700704924966 | 0.392350352462483 |
37 | 0.602129748988718 | 0.795740502022563 | 0.397870251011282 |
38 | 0.661267635283085 | 0.67746472943383 | 0.338732364716915 |
39 | 0.613158769937377 | 0.773682460125245 | 0.386841230062623 |
40 | 0.577193041853473 | 0.845613916293054 | 0.422806958146527 |
41 | 0.528373732389966 | 0.943252535220069 | 0.471626267610034 |
42 | 0.51867836921461 | 0.96264326157078 | 0.48132163078539 |
43 | 0.475525896604225 | 0.95105179320845 | 0.524474103395775 |
44 | 0.424205051963235 | 0.84841010392647 | 0.575794948036765 |
45 | 0.381884302402740 | 0.763768604805481 | 0.61811569759726 |
46 | 0.331471297647056 | 0.662942595294112 | 0.668528702352944 |
47 | 0.287496774834937 | 0.574993549669874 | 0.712503225165063 |
48 | 0.390877900479821 | 0.781755800959642 | 0.609122099520179 |
49 | 0.341986307604583 | 0.683972615209165 | 0.658013692395417 |
50 | 0.328636372419606 | 0.657272744839212 | 0.671363627580394 |
51 | 0.298990946490515 | 0.59798189298103 | 0.701009053509485 |
52 | 0.364461527091621 | 0.728923054183243 | 0.635538472908379 |
53 | 0.331278010359398 | 0.662556020718796 | 0.668721989640602 |
54 | 0.332067148306613 | 0.664134296613227 | 0.667932851693387 |
55 | 0.287461438525094 | 0.574922877050188 | 0.712538561474906 |
56 | 0.246238663686031 | 0.492477327372062 | 0.753761336313969 |
57 | 0.209732743895579 | 0.419465487791159 | 0.79026725610442 |
58 | 0.206324929283367 | 0.412649858566733 | 0.793675070716633 |
59 | 0.381049200011986 | 0.762098400023972 | 0.618950799988014 |
60 | 0.335170618204117 | 0.670341236408235 | 0.664829381795883 |
61 | 0.302112272343655 | 0.604224544687311 | 0.697887727656345 |
62 | 0.263969812211942 | 0.527939624423884 | 0.736030187788058 |
63 | 0.314302389624287 | 0.628604779248574 | 0.685697610375713 |
64 | 0.287036858674757 | 0.574073717349515 | 0.712963141325243 |
65 | 0.249827130785926 | 0.499654261571853 | 0.750172869214074 |
66 | 0.214417744569918 | 0.428835489139835 | 0.785582255430082 |
67 | 0.220307346768124 | 0.440614693536248 | 0.779692653231876 |
68 | 0.186467072710080 | 0.372934145420159 | 0.81353292728992 |
69 | 0.164031220643572 | 0.328062441287143 | 0.835968779356429 |
70 | 0.454932838727764 | 0.909865677455529 | 0.545067161272236 |
71 | 0.409812775317801 | 0.819625550635603 | 0.590187224682199 |
72 | 0.36639894805875 | 0.7327978961175 | 0.63360105194125 |
73 | 0.337584577940799 | 0.675169155881597 | 0.662415422059201 |
74 | 0.457991320705653 | 0.915982641411306 | 0.542008679294347 |
75 | 0.419977311007081 | 0.839954622014162 | 0.580022688992919 |
76 | 0.407903753309977 | 0.815807506619955 | 0.592096246690023 |
77 | 0.413785803975965 | 0.82757160795193 | 0.586214196024035 |
78 | 0.368424788697396 | 0.736849577394792 | 0.631575211302604 |
79 | 0.367035237739052 | 0.734070475478104 | 0.632964762260948 |
80 | 0.331861000674946 | 0.663722001349893 | 0.668138999325054 |
81 | 0.295336120486016 | 0.590672240972032 | 0.704663879513984 |
82 | 0.272097884900502 | 0.544195769801003 | 0.727902115099498 |
83 | 0.281398798744628 | 0.562797597489256 | 0.718601201255372 |
84 | 0.259392943494830 | 0.518785886989660 | 0.74060705650517 |
85 | 0.242219490767259 | 0.484438981534517 | 0.757780509232741 |
86 | 0.257697519815525 | 0.51539503963105 | 0.742302480184475 |
87 | 0.275922905341536 | 0.551845810683073 | 0.724077094658464 |
88 | 0.305551735700861 | 0.611103471401723 | 0.694448264299139 |
89 | 0.267357535021409 | 0.534715070042818 | 0.732642464978591 |
90 | 0.234571133084293 | 0.469142266168587 | 0.765428866915707 |
91 | 0.270146250926026 | 0.540292501852051 | 0.729853749073974 |
92 | 0.240633529899204 | 0.481267059798409 | 0.759366470100796 |
93 | 0.208060289400303 | 0.416120578800606 | 0.791939710599697 |
94 | 0.218902808932398 | 0.437805617864796 | 0.781097191067602 |
95 | 0.194339437185819 | 0.388678874371639 | 0.80566056281418 |
96 | 0.199074517383941 | 0.398149034767882 | 0.800925482616059 |
97 | 0.183268095915686 | 0.366536191831371 | 0.816731904084314 |
98 | 0.217515388165898 | 0.435030776331796 | 0.782484611834102 |
99 | 0.228412157091936 | 0.456824314183872 | 0.771587842908064 |
100 | 0.248770574210544 | 0.497541148421088 | 0.751229425789456 |
101 | 0.212932283141011 | 0.425864566282021 | 0.78706771685899 |
102 | 0.185098109330496 | 0.370196218660992 | 0.814901890669504 |
103 | 0.210122691609742 | 0.420245383219484 | 0.789877308390258 |
104 | 0.204251649476032 | 0.408503298952065 | 0.795748350523968 |
105 | 0.182476204697326 | 0.364952409394653 | 0.817523795302674 |
106 | 0.154547609643945 | 0.30909521928789 | 0.845452390356055 |
107 | 0.134546527078346 | 0.269093054156691 | 0.865453472921655 |
108 | 0.110116738341792 | 0.220233476683584 | 0.889883261658208 |
109 | 0.111958448277658 | 0.223916896555317 | 0.888041551722342 |
110 | 0.340131954969683 | 0.680263909939367 | 0.659868045030317 |
111 | 0.318159515191705 | 0.63631903038341 | 0.681840484808295 |
112 | 0.310535262972548 | 0.621070525945096 | 0.689464737027452 |
113 | 0.277659468026099 | 0.555318936052198 | 0.722340531973901 |
114 | 0.235438326244052 | 0.470876652488105 | 0.764561673755948 |
115 | 0.204146615117632 | 0.408293230235265 | 0.795853384882368 |
116 | 0.170974072692954 | 0.341948145385909 | 0.829025927307046 |
117 | 0.139273778367050 | 0.278547556734099 | 0.86072622163295 |
118 | 0.171380838770516 | 0.342761677541031 | 0.828619161229484 |
119 | 0.150019750296178 | 0.300039500592357 | 0.849980249703822 |
120 | 0.124217470941768 | 0.248434941883536 | 0.875782529058232 |
121 | 0.097909927372255 | 0.19581985474451 | 0.902090072627745 |
122 | 0.0919249210132654 | 0.183849842026531 | 0.908075078986735 |
123 | 0.0705726563710108 | 0.141145312742022 | 0.92942734362899 |
124 | 0.0633689080904404 | 0.126737816180881 | 0.93663109190956 |
125 | 0.0530501968955802 | 0.106100393791160 | 0.94694980310442 |
126 | 0.0526621157411015 | 0.105324231482203 | 0.947337884258898 |
127 | 0.0377844618074192 | 0.0755689236148384 | 0.962215538192581 |
128 | 0.046259995195456 | 0.092519990390912 | 0.953740004804544 |
129 | 0.0602030153845756 | 0.120406030769151 | 0.939796984615424 |
130 | 0.322348276296455 | 0.644696552592911 | 0.677651723703545 |
131 | 0.264270569673596 | 0.528541139347192 | 0.735729430326404 |
132 | 0.209553802727002 | 0.419107605454003 | 0.790446197272998 |
133 | 0.388494368269311 | 0.776988736538621 | 0.611505631730689 |
134 | 0.362987501582569 | 0.725975003165138 | 0.637012498417431 |
135 | 0.303624538910124 | 0.607249077820249 | 0.696375461089876 |
136 | 0.282805992019736 | 0.565611984039472 | 0.717194007980264 |
137 | 0.215645392194042 | 0.431290784388085 | 0.784354607805958 |
138 | 0.158051546998318 | 0.316103093996637 | 0.841948453001682 |
139 | 0.130211236414436 | 0.260422472828871 | 0.869788763585564 |
140 | 0.100507098063979 | 0.201014196127958 | 0.899492901936021 |
141 | 0.072707013649217 | 0.145414027298434 | 0.927292986350783 |
142 | 0.0486336146706985 | 0.097267229341397 | 0.951366385329302 |
143 | 0.147018009191066 | 0.294036018382132 | 0.852981990808934 |
144 | 0.591898819402207 | 0.816202361195586 | 0.408101180597793 |
145 | 0.428247259168519 | 0.856494518337038 | 0.571752740831481 |
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 | 0 | 0 | OK |
10% type I error level | 3 | 0.0222222222222222 | OK |