Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = -0.230262856605776 + 0.124421759330556FindingFriends[t] + 0.242447469145869KnowingPeople[t] + 0.352480645391409Liked[t] + 0.633321617244387Celebrity[t] + 0.320786045997284B[t] -0.112460065107071`2B`[t] -0.0264621349487461`3B`[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) | -0.230262856605776 | 1.496946 | -0.1538 | 0.87796 | 0.43898 |
FindingFriends | 0.124421759330556 | 0.098238 | 1.2665 | 0.207313 | 0.103657 |
KnowingPeople | 0.242447469145869 | 0.061613 | 3.935 | 0.000128 | 6.4e-05 |
Liked | 0.352480645391409 | 0.097361 | 3.6203 | 0.000403 | 0.000202 |
Celebrity | 0.633321617244387 | 0.157559 | 4.0196 | 9.3e-05 | 4.6e-05 |
B | 0.320786045997284 | 0.227708 | 1.4088 | 0.161003 | 0.080501 |
`2B` | -0.112460065107071 | 0.211909 | -0.5307 | 0.596422 | 0.298211 |
`3B` | -0.0264621349487461 | 0.197252 | -0.1342 | 0.893463 | 0.446732 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.712454731757267 |
R-squared | 0.507591744803319 |
Adjusted R-squared | 0.484302165165638 |
F-TEST (value) | 21.7948006232827 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 148 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.10885387487063 |
Sum Squared Residuals | 658.19517050242 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 15 | 13.491883972223 | 1.50811602777696 |
2 | 12 | 10.9371487555508 | 1.06285124444918 |
3 | 9 | 10.5816936253995 | -1.58169362539954 |
4 | 10 | 11.9428237148048 | -1.94282371480476 |
5 | 13 | 13.1473958604014 | -0.147395860401417 |
6 | 16 | 15.2988036302277 | 0.701196369772291 |
7 | 14 | 12.892659363595 | 1.10734063640503 |
8 | 16 | 14.2732839081629 | 1.72671609183711 |
9 | 10 | 11.0390775405863 | -1.03907754058634 |
10 | 8 | 10.3179128675937 | -2.31791286759371 |
11 | 12 | 12.8106095672703 | -0.810609567270255 |
12 | 15 | 15.3967329281444 | -0.396732928144397 |
13 | 14 | 10.9911795589824 | 3.0088204410176 |
14 | 14 | 12.0185682924344 | 1.98143170756563 |
15 | 12 | 12.6206110036536 | -0.620611003653647 |
16 | 12 | 10.9502922223909 | 1.04970777760915 |
17 | 10 | 9.24910924654093 | 0.750890753459065 |
18 | 4 | 6.55027417147198 | -2.55027417147198 |
19 | 14 | 14.8774888868817 | -0.877488886881719 |
20 | 15 | 14.2451095320846 | 0.754890467915424 |
21 | 16 | 13.7125076083464 | 2.28749239165361 |
22 | 12 | 11.2019324287341 | 0.798067571265851 |
23 | 12 | 12.1330708614301 | -0.133070861430109 |
24 | 12 | 10.6903477407784 | 1.30965225922162 |
25 | 12 | 10.726314354624 | 1.27368564537604 |
26 | 12 | 12.4458643738576 | -0.445864373857619 |
27 | 11 | 7.88489077264321 | 3.11510922735679 |
28 | 11 | 13.9680223233188 | -2.96802232331881 |
29 | 11 | 11.7675713941754 | -0.767571394175375 |
30 | 11 | 11.4255678165932 | -0.425567816593165 |
31 | 11 | 11.1459749685375 | -0.145974968537523 |
32 | 11 | 9.05066684301322 | 1.94933315698678 |
33 | 15 | 14.5738881116516 | 0.426111888348367 |
34 | 15 | 14.9939274122875 | 0.00607258771248316 |
35 | 9 | 14.2177051346886 | -5.21770513468858 |
36 | 16 | 10.4190112478222 | 5.58098875217777 |
37 | 13 | 8.28020398702681 | 4.71979601297319 |
38 | 9 | 10.7569459460289 | -1.75694594602893 |
39 | 16 | 14.2005413024848 | 1.79945869751516 |
40 | 12 | 13.0951983771543 | -1.09519837715433 |
41 | 15 | 8.40813430102473 | 6.59186569897527 |
42 | 5 | 9.36799568762837 | -4.36799568762837 |
43 | 11 | 11.2035196131437 | -0.203519613143663 |
44 | 17 | 13.5179977469146 | 3.4820022530854 |
45 | 9 | 8.1924977151737 | 0.807502284826293 |
46 | 13 | 15.2231498834182 | -2.22314988341823 |
47 | 16 | 14.0693903133762 | 1.93060968662382 |
48 | 16 | 13.7641564355338 | 2.23584356446622 |
49 | 14 | 13.7340583201942 | 0.265941679805817 |
50 | 16 | 13.4808582483541 | 2.51914175164585 |
51 | 11 | 13.2499937867094 | -2.24999378670944 |
52 | 11 | 11.741251443332 | -0.741251443331996 |
53 | 11 | 13.7720367233744 | -2.7720367233744 |
54 | 12 | 12.6262885060021 | -0.626288506002134 |
55 | 12 | 13.463552232045 | -1.46355223204504 |
56 | 12 | 12.3861863945427 | -0.386186394542674 |
57 | 14 | 13.911677470597 | 0.0883225294030302 |
58 | 10 | 11.345114504323 | -1.34511450432298 |
59 | 9 | 9.02358910698186 | -0.0235891069818569 |
60 | 12 | 11.6489693212987 | 0.351030678701326 |
61 | 10 | 10.4042439780149 | -0.404243978014899 |
62 | 14 | 13.4191231789983 | 0.580876821001678 |
63 | 8 | 10.3134434748435 | -2.31344347484351 |
64 | 16 | 14.3685890289679 | 1.63141097103211 |
65 | 14 | 15.5859836000602 | -1.58598360006016 |
66 | 14 | 10.7843382045065 | 3.21566179549352 |
67 | 12 | 11.1752426790701 | 0.824757320929883 |
68 | 14 | 13.3972872070574 | 0.602712792942648 |
69 | 7 | 10.4318878855802 | -3.43188788558019 |
70 | 19 | 14.5157617037739 | 4.48423829622612 |
71 | 15 | 12.7771153487457 | 2.22288465125434 |
72 | 8 | 11.3037151302295 | -3.30371513022951 |
73 | 10 | 14.6807010008753 | -4.68070100087534 |
74 | 13 | 13.27157181747 | -0.271571817470007 |
75 | 13 | 11.5050974657061 | 1.49490253429386 |
76 | 10 | 10.7766485247344 | -0.776648524734444 |
77 | 12 | 9.41044918180933 | 2.58955081819067 |
78 | 15 | 16.6511419410771 | -1.65114194107707 |
79 | 7 | 11.1576034824981 | -4.15760348249814 |
80 | 14 | 14.1882464279985 | -0.188246427998494 |
81 | 10 | 8.72298490349312 | 1.27701509650688 |
82 | 6 | 9.87486234129855 | -3.87486234129855 |
83 | 11 | 11.6748290542446 | -0.674829054244613 |
84 | 12 | 9.78715606944545 | 2.21284393055455 |
85 | 14 | 14.1315864589884 | -0.131586458988351 |
86 | 12 | 13.5195849313241 | -1.51958493132412 |
87 | 14 | 14.2121394899803 | -0.212139489980343 |
88 | 11 | 10.3228757222102 | 0.67712427778976 |
89 | 10 | 9.23998915261697 | 0.760010847383033 |
90 | 13 | 12.7494348226226 | 0.250565177377419 |
91 | 8 | 10.2994432662147 | -2.29944326621474 |
92 | 9 | 12.3323261542906 | -3.3323261542906 |
93 | 6 | 12.4117877982193 | -6.4117877982193 |
94 | 12 | 12.5942910528103 | -0.594291052810268 |
95 | 14 | 12.287893589898 | 1.712106410102 |
96 | 11 | 10.9786087825745 | 0.0213912174254614 |
97 | 8 | 10.0902419679002 | -2.09024196790019 |
98 | 7 | 9.6528966509552 | -2.6528966509552 |
99 | 9 | 9.51567349294914 | -0.515673492949142 |
100 | 14 | 13.0133699034522 | 0.986630096547774 |
101 | 13 | 10.3563063703008 | 2.64369362969918 |
102 | 15 | 12.6314091128073 | 2.36859088719273 |
103 | 5 | 5.66587982304402 | -0.66587982304402 |
104 | 15 | 12.0036531402711 | 2.99634685972888 |
105 | 13 | 12.0510117654604 | 0.948988234539627 |
106 | 12 | 11.6393226582965 | 0.360677341703525 |
107 | 6 | 8.18219945002766 | -2.18219945002766 |
108 | 7 | 10.0437707990537 | -3.04377079905372 |
109 | 13 | 9.56712633551216 | 3.43287366448784 |
110 | 16 | 15.5279957748933 | 0.472004225106696 |
111 | 10 | 13.264872914157 | -3.26487291415702 |
112 | 16 | 15.5356854546653 | 0.464314545334663 |
113 | 15 | 13.5960783825856 | 1.40392161741439 |
114 | 8 | 8.80344751540832 | -0.803447515408321 |
115 | 11 | 12.9339795991712 | -1.93397959917119 |
116 | 13 | 12.4673002205128 | 0.532699779487186 |
117 | 16 | 15.0815428533205 | 0.918457146679522 |
118 | 11 | 8.5165588542973 | 2.48344114570271 |
119 | 14 | 14.379035770312 | -0.379035770311963 |
120 | 9 | 10.1101658692283 | -1.11016586922833 |
121 | 8 | 10.1606632502643 | -2.16066325026429 |
122 | 8 | 11.2847849228642 | -3.28478492286419 |
123 | 11 | 12.0080673388279 | -1.00806733882794 |
124 | 12 | 13.1924028358116 | -1.19240283581159 |
125 | 11 | 11.8712206598241 | -0.871220659824114 |
126 | 14 | 13.8225407845919 | 0.177459215408067 |
127 | 11 | 12.962784084254 | -1.962784084254 |
128 | 14 | 12.6222378141733 | 1.3777621858267 |
129 | 13 | 13.7321286558768 | -0.732128655876788 |
130 | 12 | 11.027146172828 | 0.972853827172018 |
131 | 4 | 6.48379112945435 | -2.48379112945435 |
132 | 15 | 12.4299242193354 | 2.5700757806646 |
133 | 10 | 11.3488926688192 | -1.34889266881919 |
134 | 13 | 13.1412815596335 | -0.141281559633466 |
135 | 15 | 13.0963498233057 | 1.90365017669425 |
136 | 12 | 12.5095564264436 | -0.509556426443611 |
137 | 13 | 13.7125076083464 | -0.712507608346393 |
138 | 8 | 8.08659976948447 | -0.0865997694844746 |
139 | 10 | 10.7127258498808 | -0.712725849880818 |
140 | 15 | 14.0729807873076 | 0.927019212692424 |
141 | 16 | 14.4134904388305 | 1.58650956116952 |
142 | 16 | 15.2932379855195 | 0.706762014480532 |
143 | 14 | 13.0104637507877 | 0.989536249212332 |
144 | 14 | 12.883124558233 | 1.11687544176698 |
145 | 12 | 10.0066709266034 | 1.9933290733966 |
146 | 15 | 12.0614311878917 | 2.93856881210832 |
147 | 13 | 12.2342507728338 | 0.765749227166247 |
148 | 16 | 13.5880858490158 | 2.41191415098416 |
149 | 14 | 13.6077068965462 | 0.392293103453768 |
150 | 8 | 10.0834579320176 | -2.08345793201762 |
151 | 16 | 13.634169031495 | 2.36583096850502 |
152 | 16 | 15.6576499986692 | 0.342350001330761 |
153 | 12 | 13.1692283209965 | -1.1692283209965 |
154 | 11 | 11.290923031199 | -0.290923031199022 |
155 | 16 | 15.3633260876207 | 0.636673912379299 |
156 | 9 | 10.0834579320176 | -1.08345793201761 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.278421260652547 | 0.556842521305095 | 0.721578739347453 |
12 | 0.243165025991499 | 0.486330051982998 | 0.756834974008501 |
13 | 0.340402699310737 | 0.680805398621474 | 0.659597300689263 |
14 | 0.24231903021654 | 0.484638060433081 | 0.75768096978346 |
15 | 0.172023412594869 | 0.344046825189738 | 0.82797658740513 |
16 | 0.225399465298308 | 0.450798930596616 | 0.774600534701692 |
17 | 0.200202027696511 | 0.400404055393022 | 0.799797972303489 |
18 | 0.238353042709908 | 0.476706085419816 | 0.761646957290092 |
19 | 0.188746560137054 | 0.377493120274108 | 0.811253439862946 |
20 | 0.132423261546035 | 0.264846523092071 | 0.867576738453965 |
21 | 0.128196861409589 | 0.256393722819178 | 0.87180313859041 |
22 | 0.0875986554203562 | 0.175197310840712 | 0.912401344579644 |
23 | 0.058857955590838 | 0.117715911181676 | 0.941142044409162 |
24 | 0.0489893135629982 | 0.0979786271259964 | 0.951010686437002 |
25 | 0.0406557334935989 | 0.0813114669871979 | 0.959344266506401 |
26 | 0.0312871709448228 | 0.0625743418896455 | 0.968712829055177 |
27 | 0.0377271357966171 | 0.0754542715932342 | 0.962272864203383 |
28 | 0.150414273741897 | 0.300828547483794 | 0.849585726258103 |
29 | 0.11589754910054 | 0.231795098201081 | 0.88410245089946 |
30 | 0.0879928018067442 | 0.175985603613488 | 0.912007198193256 |
31 | 0.0632808887263191 | 0.126561777452638 | 0.936719111273681 |
32 | 0.0566723790201146 | 0.113344758040229 | 0.943327620979885 |
33 | 0.0400338942403278 | 0.0800677884806555 | 0.959966105759672 |
34 | 0.027682660567898 | 0.055365321135796 | 0.972317339432102 |
35 | 0.122371121515857 | 0.244742243031714 | 0.877628878484143 |
36 | 0.3737568948493 | 0.7475137896986 | 0.6262431051507 |
37 | 0.560487171914822 | 0.879025656170356 | 0.439512828085178 |
38 | 0.520428689016783 | 0.959142621966435 | 0.479571310983217 |
39 | 0.534904408973812 | 0.930191182052376 | 0.465095591026188 |
40 | 0.517030017231408 | 0.965939965537184 | 0.482969982768592 |
41 | 0.813644298127953 | 0.372711403744094 | 0.186355701872047 |
42 | 0.89822317354294 | 0.203553652914122 | 0.101776826457061 |
43 | 0.873255315019678 | 0.253489369960644 | 0.126744684980322 |
44 | 0.912918538609392 | 0.174162922781216 | 0.087081461390608 |
45 | 0.896279156826332 | 0.207441686347337 | 0.103720843173668 |
46 | 0.894286834534033 | 0.211426330931934 | 0.105713165465967 |
47 | 0.88770733908206 | 0.22458532183588 | 0.11229266091794 |
48 | 0.892626770141081 | 0.214746459717838 | 0.107373229858919 |
49 | 0.867200459684644 | 0.265599080630712 | 0.132799540315356 |
50 | 0.872120263685181 | 0.255759472629638 | 0.127879736314819 |
51 | 0.874670232969107 | 0.250659534061786 | 0.125329767030893 |
52 | 0.854896503257863 | 0.290206993484273 | 0.145103496742137 |
53 | 0.88461301242717 | 0.230773975145659 | 0.11538698757283 |
54 | 0.867745099959383 | 0.264509800081235 | 0.132254900040617 |
55 | 0.849756665007716 | 0.300486669984568 | 0.150243334992284 |
56 | 0.819837792562262 | 0.360324414875475 | 0.180162207437738 |
57 | 0.785494664972331 | 0.429010670055338 | 0.214505335027669 |
58 | 0.771072702225105 | 0.457854595549789 | 0.228927297774895 |
59 | 0.740060088652615 | 0.519879822694771 | 0.259939911347385 |
60 | 0.709634905609525 | 0.58073018878095 | 0.290365094390475 |
61 | 0.680576514681772 | 0.638846970636455 | 0.319423485318228 |
62 | 0.640613845532357 | 0.718772308935287 | 0.359386154467643 |
63 | 0.694965523440861 | 0.610068953118277 | 0.305034476559139 |
64 | 0.68558346471922 | 0.62883307056156 | 0.31441653528078 |
65 | 0.671367525481204 | 0.657264949037592 | 0.328632474518796 |
66 | 0.708627115620209 | 0.582745768759582 | 0.291372884379791 |
67 | 0.670197310717299 | 0.659605378565403 | 0.329802689282701 |
68 | 0.627572647575878 | 0.744854704848244 | 0.372427352424122 |
69 | 0.721110574401578 | 0.557778851196844 | 0.278889425598422 |
70 | 0.844328161008697 | 0.311343677982606 | 0.155671838991303 |
71 | 0.841665787871415 | 0.316668424257169 | 0.158334212128585 |
72 | 0.886143556797143 | 0.227712886405714 | 0.113856443202857 |
73 | 0.956040114776127 | 0.0879197704477451 | 0.0439598852238725 |
74 | 0.943824604985614 | 0.112350790028772 | 0.0561753950143859 |
75 | 0.934451786926458 | 0.131096426147084 | 0.0655482130735418 |
76 | 0.92094312841886 | 0.158113743162281 | 0.0790568715811406 |
77 | 0.929745646561179 | 0.140508706877642 | 0.0702543534388212 |
78 | 0.926266008015845 | 0.14746798396831 | 0.0737339919841548 |
79 | 0.970700153256484 | 0.058599693487032 | 0.029299846743516 |
80 | 0.96185337481892 | 0.0762932503621622 | 0.0381466251810811 |
81 | 0.95595008611046 | 0.08809982777908 | 0.04404991388954 |
82 | 0.974520694231625 | 0.0509586115367505 | 0.0254793057683752 |
83 | 0.967651559843673 | 0.0646968803126544 | 0.0323484401563272 |
84 | 0.970220602559886 | 0.0595587948802272 | 0.0297793974401136 |
85 | 0.961050752214448 | 0.0778984955711033 | 0.0389492477855516 |
86 | 0.95549300354478 | 0.0890139929104407 | 0.0445069964552204 |
87 | 0.944724543140143 | 0.110550913719715 | 0.0552754568598574 |
88 | 0.940113866150486 | 0.119772267699029 | 0.0598861338495143 |
89 | 0.93868220227428 | 0.122635595451439 | 0.0613177977257194 |
90 | 0.922777024708427 | 0.154445950583147 | 0.0772229752915733 |
91 | 0.926858315955152 | 0.146283368089695 | 0.0731416840448477 |
92 | 0.963278630177781 | 0.0734427396444373 | 0.0367213698222187 |
93 | 0.998646106901068 | 0.00270778619786366 | 0.00135389309893183 |
94 | 0.99805935422726 | 0.00388129154548086 | 0.00194064577274043 |
95 | 0.997705543037296 | 0.00458891392540901 | 0.0022944569627045 |
96 | 0.996643252945297 | 0.00671349410940579 | 0.00335674705470289 |
97 | 0.996762336755827 | 0.00647532648834534 | 0.00323766324417267 |
98 | 0.997377415797993 | 0.00524516840401351 | 0.00262258420200675 |
99 | 0.996587267030572 | 0.00682546593885586 | 0.00341273296942793 |
100 | 0.995123571391032 | 0.00975285721793627 | 0.00487642860896813 |
101 | 0.997806197365337 | 0.00438760526932628 | 0.00219380263466314 |
102 | 0.997448261947552 | 0.00510347610489697 | 0.00255173805244849 |
103 | 0.99687547831858 | 0.00624904336283957 | 0.00312452168141978 |
104 | 0.99717935090869 | 0.00564129818262045 | 0.00282064909131023 |
105 | 0.99614043922677 | 0.00771912154645812 | 0.00385956077322906 |
106 | 0.994364964157094 | 0.0112700716858111 | 0.00563503584290557 |
107 | 0.994139251349308 | 0.0117214973013842 | 0.00586074865069211 |
108 | 0.996474394277624 | 0.0070512114447528 | 0.0035256057223764 |
109 | 0.999277791187466 | 0.00144441762506721 | 0.000722208812533603 |
110 | 0.998855423266196 | 0.00228915346760724 | 0.00114457673380362 |
111 | 0.999655671363472 | 0.000688657273055331 | 0.000344328636527666 |
112 | 0.999423892540623 | 0.00115221491875376 | 0.000576107459376878 |
113 | 0.99921438240574 | 0.00157123518851871 | 0.000785617594259357 |
114 | 0.998809515748649 | 0.00238096850270297 | 0.00119048425135148 |
115 | 0.99855803560656 | 0.00288392878688165 | 0.00144196439344082 |
116 | 0.997646129931326 | 0.00470774013734799 | 0.002353870068674 |
117 | 0.99630133835073 | 0.00739732329854145 | 0.00369866164927073 |
118 | 0.999289178200081 | 0.00142164359983752 | 0.000710821799918762 |
119 | 0.998784286710906 | 0.00243142657818889 | 0.00121571328909444 |
120 | 0.998021364937406 | 0.00395727012518797 | 0.00197863506259398 |
121 | 0.997818657841193 | 0.00436268431761358 | 0.00218134215880679 |
122 | 0.998143297920036 | 0.00371340415992797 | 0.00185670207996399 |
123 | 0.996892066885061 | 0.00621586622987765 | 0.00310793311493883 |
124 | 0.997095153708944 | 0.00580969258211283 | 0.00290484629105642 |
125 | 0.995099234647272 | 0.0098015307054561 | 0.00490076535272805 |
126 | 0.991869305650795 | 0.0162613886984101 | 0.00813069434920504 |
127 | 0.991103946270788 | 0.0177921074584247 | 0.00889605372921235 |
128 | 0.985789319237864 | 0.0284213615242713 | 0.0142106807621356 |
129 | 0.985470522534924 | 0.0290589549301515 | 0.0145294774650757 |
130 | 0.991327197730366 | 0.0173456045392688 | 0.00867280226963438 |
131 | 0.986936033949425 | 0.026127932101151 | 0.0130639660505755 |
132 | 0.989511061310252 | 0.0209778773794963 | 0.0104889386897482 |
133 | 0.984475486082136 | 0.031049027835728 | 0.015524513917864 |
134 | 0.97448738110143 | 0.0510252377971418 | 0.0255126188985709 |
135 | 0.965164484876915 | 0.0696710302461698 | 0.0348355151230849 |
136 | 0.96100292175584 | 0.077994156488319 | 0.0389970782441595 |
137 | 0.957689713724243 | 0.0846205725515135 | 0.0423102862757567 |
138 | 0.928645075055457 | 0.142709849889087 | 0.0713549249445434 |
139 | 0.925939586285273 | 0.148120827429453 | 0.0740604137147266 |
140 | 0.902695588179466 | 0.194608823641067 | 0.0973044118205335 |
141 | 0.994764278955234 | 0.0104714420895321 | 0.00523572104476607 |
142 | 0.999627542867431 | 0.00074491426513816 | 0.00037245713256908 |
143 | 0.9986023083136 | 0.00279538337279913 | 0.00139769168639956 |
144 | 0.997075684397921 | 0.00584863120415692 | 0.00292431560207846 |
145 | 0.985514198442917 | 0.0289716031141653 | 0.0144858015570826 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 34 | 0.251851851851852 | NOK |
5% type I error level | 46 | 0.340740740740741 | NOK |
10% type I error level | 66 | 0.488888888888889 | NOK |