Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.0341957712676926 + 0.106302633229405FindingFriends[t] + 0.211443525990832KnowingPeople[t] + 0.357643540447476Liked[t] + 0.606004881194799Celebrity[t] + 0.212601130536282Sum_friends[t] + 4.11173334192181e-05Day[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) | 0.0341957712676926 | 1.433361 | 0.0239 | 0.980999 | 0.490499 |
FindingFriends | 0.106302633229405 | 0.095939 | 1.108 | 0.269635 | 0.134818 |
KnowingPeople | 0.211443525990832 | 0.063848 | 3.3117 | 0.001164 | 0.000582 |
Liked | 0.357643540447476 | 0.097147 | 3.6815 | 0.000324 | 0.000162 |
Celebrity | 0.606004881194799 | 0.155956 | 3.8857 | 0.000153 | 7.7e-05 |
Sum_friends | 0.212601130536282 | 0.12044 | 1.7652 | 0.079577 | 0.039789 |
Day | 4.11173334192181e-05 | 0.062529 | 7e-04 | 0.999476 | 0.499738 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.713764529068043 |
R-squared | 0.509459802955726 |
Adjusted R-squared | 0.489706506430453 |
F-TEST (value) | 25.7911281949275 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.09777472945348 |
Sum Squared Residuals | 655.698163514507 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.2689634149291 | 1.73103658507088 |
2 | 12 | 10.8934082576081 | 1.10659174239192 |
3 | 15 | 12.9929114671135 | 2.00708853288647 |
4 | 12 | 11.0366204337489 | 0.963379566251083 |
5 | 10 | 10.8136052233086 | -0.813605223308552 |
6 | 12 | 9.11231142878019 | 2.88768857121981 |
7 | 15 | 16.7226937056585 | -1.72269370565849 |
8 | 9 | 10.2064468734908 | -1.20644687349084 |
9 | 12 | 12.5515114644146 | -0.551511464414603 |
10 | 11 | 7.58352523272901 | 3.41647476727099 |
11 | 11 | 13.2296887156437 | -2.22968871564375 |
12 | 11 | 11.9887013068642 | -0.98870130686419 |
13 | 15 | 12.4011701430192 | 2.59882985698077 |
14 | 7 | 11.4133414674605 | -4.41334146746052 |
15 | 11 | 11.5005748792709 | -0.500574879270867 |
16 | 11 | 10.6293339254725 | 0.3706660745275 |
17 | 10 | 11.9887013068642 | -1.98870130686419 |
18 | 14 | 14.3713480699243 | -0.371348069924296 |
19 | 10 | 8.53912417273657 | 1.46087582726343 |
20 | 6 | 9.25208777269557 | -3.25208777269557 |
21 | 11 | 8.75768443621435 | 2.24231556378565 |
22 | 15 | 14.4083070020142 | 0.591692997985793 |
23 | 11 | 11.8321241939143 | -0.832124193914347 |
24 | 12 | 9.57331501739721 | 2.42668498260279 |
25 | 14 | 12.9795589380721 | 1.02044106192787 |
26 | 15 | 14.5816751087031 | 0.418324891296903 |
27 | 9 | 14.4071493974688 | -5.40714939746876 |
28 | 13 | 12.7323469300252 | 0.267653069974799 |
29 | 13 | 13.0194521833768 | -0.0194521833768406 |
30 | 16 | 11.0702902952667 | 4.92970970473325 |
31 | 13 | 8.71182378612309 | 4.28817621387691 |
32 | 12 | 13.5867172878899 | -1.58671728788985 |
33 | 14 | 14.7272107657799 | -0.727210765779894 |
34 | 11 | 10.0748762086988 | 0.925123791301208 |
35 | 9 | 10.4191302386940 | -1.41913023869396 |
36 | 16 | 14.4378314206708 | 1.56216857932923 |
37 | 12 | 13.0628717674189 | -1.06287176741890 |
38 | 10 | 9.56920655594685 | 0.430793444053152 |
39 | 13 | 12.8744550267216 | 0.125544973278405 |
40 | 16 | 15.6140809728493 | 0.385919027150671 |
41 | 14 | 12.9819152644965 | 1.01808473550355 |
42 | 15 | 8.01295517132967 | 6.98704482867033 |
43 | 5 | 9.64274508912607 | -4.64274508912607 |
44 | 8 | 10.2464264893849 | -2.24642648938491 |
45 | 11 | 11.2481503303291 | -0.248150330329128 |
46 | 16 | 13.8392610529093 | 2.16073894709068 |
47 | 17 | 14.3257451257191 | 2.67425487428092 |
48 | 9 | 8.18268762601302 | 0.817312373986978 |
49 | 9 | 11.4203608324726 | -2.42036083247257 |
50 | 13 | 14.4765753332751 | -1.47657533327509 |
51 | 10 | 11.0777659260335 | -1.07776592603351 |
52 | 6 | 12.3706484532284 | -6.37064845322837 |
53 | 12 | 12.0969492540191 | -0.0969492540191498 |
54 | 8 | 10.5001278589498 | -2.50012785894983 |
55 | 14 | 11.8444507422556 | 2.15554925774437 |
56 | 12 | 12.9062946544691 | -0.906294654469062 |
57 | 11 | 10.6693505227775 | 0.330649477222532 |
58 | 16 | 14.5829108119929 | 1.41708918800714 |
59 | 8 | 10.5325907267437 | -2.53259072674373 |
60 | 15 | 14.5880342522578 | 0.41196574774217 |
61 | 7 | 9.111277176235 | -2.11127717623499 |
62 | 16 | 14.1865316307861 | 1.81346836921388 |
63 | 14 | 13.1488638365666 | 0.851136163433394 |
64 | 16 | 13.3771820944137 | 2.62281790558632 |
65 | 9 | 10.4318965090998 | -1.43189650909984 |
66 | 14 | 12.1633503700988 | 1.83664962990121 |
67 | 11 | 13.2598010239003 | -2.25980102390034 |
68 | 13 | 10.3244445431700 | 2.67555545682996 |
69 | 15 | 13.1945986296996 | 1.80540137030043 |
70 | 5 | 5.79384205280933 | -0.793842052809333 |
71 | 15 | 12.9063357718025 | 2.09366422819752 |
72 | 13 | 12.5885937485048 | 0.411406251495228 |
73 | 11 | 12.4170476037412 | -1.41704760374118 |
74 | 11 | 14.1988005181039 | -3.19880051810387 |
75 | 12 | 12.7705498372499 | -0.770549837249929 |
76 | 12 | 13.4048845511450 | -1.40488455114495 |
77 | 12 | 12.3360952367413 | -0.336095236741251 |
78 | 12 | 11.9507820850509 | 0.0492179149491302 |
79 | 14 | 10.8578125167307 | 3.14218748326928 |
80 | 6 | 7.93738395048076 | -1.93738395048076 |
81 | 7 | 9.71848077930866 | -2.71848077930866 |
82 | 14 | 12.4117404204119 | 1.58825957958805 |
83 | 14 | 14.1612266178126 | -0.161226617812591 |
84 | 10 | 11.1702556285443 | -1.17025562854426 |
85 | 13 | 9.11479110720476 | 3.88520889279524 |
86 | 12 | 12.3066119354181 | -0.306611935418104 |
87 | 9 | 9.32097683904484 | -0.320976839044838 |
88 | 12 | 11.9243194675319 | 0.0756805324681113 |
89 | 16 | 14.8018752220064 | 1.1981247779936 |
90 | 10 | 10.4603085764669 | -0.460308576466903 |
91 | 14 | 13.1017348961010 | 0.89826510389905 |
92 | 10 | 13.5910230641623 | -3.59102306416225 |
93 | 16 | 15.5079058275427 | 0.492094172457290 |
94 | 15 | 13.4037639280104 | 1.59623607198961 |
95 | 12 | 11.4892005096434 | 0.510799490356635 |
96 | 10 | 9.35972075164915 | 0.640279248350845 |
97 | 8 | 10.1223314553596 | -2.12233145535963 |
98 | 8 | 8.71613369831802 | -0.716133698318018 |
99 | 11 | 12.6649526787338 | -1.66495267873379 |
100 | 13 | 12.5591515645150 | 0.440848435484956 |
101 | 16 | 15.6130467203041 | 0.386953279695863 |
102 | 16 | 14.9388187611044 | 1.06118123889560 |
103 | 14 | 15.4034334280837 | -1.40343342808366 |
104 | 11 | 9.04726936799056 | 1.95273063200944 |
105 | 4 | 7.15689033946251 | -3.15689033946251 |
106 | 14 | 14.7389510554856 | -0.73895105548564 |
107 | 9 | 10.5285727718053 | -1.52857277180526 |
108 | 14 | 15.2259609958669 | -1.22596099586693 |
109 | 8 | 10.2495705251893 | -2.24957052518934 |
110 | 8 | 10.6828675211526 | -2.68286752115256 |
111 | 11 | 11.8844673395606 | -0.884467339560597 |
112 | 12 | 13.1605588730164 | -1.16055887301641 |
113 | 11 | 11.0756151862763 | -0.0756151862762893 |
114 | 14 | 13.2721645536525 | 0.727835446347487 |
115 | 15 | 14.4495717103765 | 0.550428289623481 |
116 | 16 | 13.4448641670390 | 2.55513583296097 |
117 | 16 | 12.9133634086596 | 3.08663659134041 |
118 | 11 | 12.7851915946821 | -1.78519159468211 |
119 | 14 | 14.1878125873318 | -0.18781258733183 |
120 | 14 | 10.8820791412365 | 3.11792085876346 |
121 | 12 | 11.5586264454497 | 0.441373554550302 |
122 | 14 | 12.5464592569309 | 1.45354074306906 |
123 | 8 | 10.8855519548729 | -2.88555195487289 |
124 | 13 | 14.0815140900250 | -1.08151409002495 |
125 | 16 | 13.9752114567955 | 2.02478854320445 |
126 | 12 | 10.6158103195381 | 1.38418968046187 |
127 | 16 | 15.4784636435530 | 0.521536356447018 |
128 | 12 | 12.7671633942029 | -0.767163394202944 |
129 | 11 | 11.4615761516564 | -0.461576151656406 |
130 | 4 | 6.00815950095096 | -2.00815950095096 |
131 | 16 | 16.1162670351618 | -0.116267035161828 |
132 | 15 | 12.6643335746099 | 2.33566642539011 |
133 | 10 | 11.3605807017562 | -1.36058070175623 |
134 | 13 | 14.0185857875817 | -1.01858578758166 |
135 | 15 | 13.1271221437413 | 1.87287785625868 |
136 | 12 | 10.4990936064046 | 1.50090639359536 |
137 | 14 | 13.6563076930299 | 0.343692306970139 |
138 | 7 | 10.3812604060591 | -3.38126040605911 |
139 | 19 | 13.9076938535039 | 5.09230614649612 |
140 | 12 | 12.9451989004845 | -0.945198900484526 |
141 | 12 | 11.8729367724445 | 0.127063227555525 |
142 | 13 | 13.3386067870656 | -0.338606787065571 |
143 | 15 | 12.4166818444984 | 2.58331815550164 |
144 | 8 | 8.84487272228288 | -0.84487272228288 |
145 | 12 | 10.9231793802652 | 1.07682061973483 |
146 | 10 | 10.7602294894029 | -0.7602294894029 |
147 | 8 | 11.2513396193895 | -3.2513396193895 |
148 | 10 | 14.6518040142647 | -4.65180401426466 |
149 | 15 | 13.8677923363541 | 1.13220766364589 |
150 | 16 | 14.0602118941818 | 1.93978810581817 |
151 | 13 | 13.2704618078049 | -0.270461807804946 |
152 | 16 | 15.0840256403493 | 0.915974359650727 |
153 | 9 | 9.82283412352541 | -0.82283412352541 |
154 | 14 | 13.0610047130731 | 0.938995286926912 |
155 | 14 | 13.1550671685506 | 0.844932831449423 |
156 | 12 | 10.174200755085 | 1.82579924491501 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.128079867154562 | 0.256159734309124 | 0.871920132845438 |
11 | 0.148704773894552 | 0.297409547789104 | 0.851295226105448 |
12 | 0.0779372660984226 | 0.155874532196845 | 0.922062733901577 |
13 | 0.566237799252258 | 0.867524401495485 | 0.433762200747742 |
14 | 0.833055446551984 | 0.333889106896031 | 0.166944553448016 |
15 | 0.763198982970391 | 0.473602034059217 | 0.236801017029609 |
16 | 0.68026238252849 | 0.63947523494302 | 0.31973761747151 |
17 | 0.62377927399084 | 0.75244145201832 | 0.37622072600916 |
18 | 0.536276733406086 | 0.927446533187828 | 0.463723266593914 |
19 | 0.451020282283459 | 0.902040564566918 | 0.548979717716541 |
20 | 0.631854791922907 | 0.736290416154187 | 0.368145208077093 |
21 | 0.60074943380197 | 0.79850113239606 | 0.39925056619803 |
22 | 0.639619034877265 | 0.72076193024547 | 0.360380965122735 |
23 | 0.575053590561901 | 0.849892818876198 | 0.424946409438099 |
24 | 0.561079106335497 | 0.877841787329006 | 0.438920893664503 |
25 | 0.514013716193205 | 0.97197256761359 | 0.485986283806795 |
26 | 0.44602143502875 | 0.8920428700575 | 0.55397856497125 |
27 | 0.705620085007535 | 0.58875982998493 | 0.294379914992465 |
28 | 0.651861572192064 | 0.696276855615872 | 0.348138427807936 |
29 | 0.592036994137575 | 0.81592601172485 | 0.407963005862425 |
30 | 0.726888331102834 | 0.546223337794331 | 0.273111668897166 |
31 | 0.810341760501073 | 0.379316478997855 | 0.189658239498928 |
32 | 0.774144088144499 | 0.451711823711002 | 0.225855911855501 |
33 | 0.727292089994434 | 0.545415820011131 | 0.272707910005566 |
34 | 0.696904985842906 | 0.606190028314187 | 0.303095014157094 |
35 | 0.693027474314328 | 0.613945051371344 | 0.306972525685672 |
36 | 0.689741424513968 | 0.620517150972063 | 0.310258575486032 |
37 | 0.66319201393369 | 0.67361597213262 | 0.33680798606631 |
38 | 0.614488850293377 | 0.771022299413246 | 0.385511149706623 |
39 | 0.565758375552833 | 0.868483248894333 | 0.434241624447167 |
40 | 0.522458123954239 | 0.955083752091523 | 0.477541876045761 |
41 | 0.483866201385057 | 0.967732402770115 | 0.516133798614943 |
42 | 0.784511647238391 | 0.430976705523218 | 0.215488352761609 |
43 | 0.95211140483037 | 0.0957771903392612 | 0.0478885951696306 |
44 | 0.956332597632802 | 0.0873348047343958 | 0.0436674023671979 |
45 | 0.943297702913536 | 0.113404594172929 | 0.0567022970864644 |
46 | 0.950826279850052 | 0.0983474402998962 | 0.0491737201499481 |
47 | 0.95068812849458 | 0.0986237430108407 | 0.0493118715054203 |
48 | 0.940243280498854 | 0.119513439002291 | 0.0597567195011456 |
49 | 0.937808849747203 | 0.124382300505594 | 0.0621911502527971 |
50 | 0.92607799714878 | 0.147844005702439 | 0.0739220028512195 |
51 | 0.919333692181 | 0.161332615638000 | 0.0806663078189998 |
52 | 0.98658497260755 | 0.0268300547849002 | 0.0134150273924501 |
53 | 0.982593876497837 | 0.0348122470043256 | 0.0174061235021628 |
54 | 0.985632879267855 | 0.0287342414642890 | 0.0143671207321445 |
55 | 0.991124744881208 | 0.0177505102375837 | 0.00887525511879184 |
56 | 0.988204763276293 | 0.0235904734474131 | 0.0117952367237066 |
57 | 0.984202348923762 | 0.0315953021524765 | 0.0157976510762383 |
58 | 0.982591731177798 | 0.0348165376444048 | 0.0174082688222024 |
59 | 0.988060945528115 | 0.0238781089437693 | 0.0119390544718847 |
60 | 0.987076700614869 | 0.0258465987702622 | 0.0129232993851311 |
61 | 0.986673693462526 | 0.0266526130749479 | 0.0133263065374740 |
62 | 0.987367399357383 | 0.0252652012852341 | 0.0126326006426171 |
63 | 0.985850536502448 | 0.0282989269951039 | 0.0141494634975520 |
64 | 0.989104555393154 | 0.0217908892136916 | 0.0108954446068458 |
65 | 0.98776173114636 | 0.0244765377072806 | 0.0122382688536403 |
66 | 0.987381458938028 | 0.0252370821239431 | 0.0126185410619716 |
67 | 0.987446398928657 | 0.0251072021426865 | 0.0125536010713433 |
68 | 0.990360199865787 | 0.0192796002684264 | 0.0096398001342132 |
69 | 0.98995578139262 | 0.0200884372147610 | 0.0100442186073805 |
70 | 0.98686062692741 | 0.026278746145182 | 0.013139373072591 |
71 | 0.98746388178776 | 0.0250722364244817 | 0.0125361182122409 |
72 | 0.983371608934805 | 0.0332567821303891 | 0.0166283910651946 |
73 | 0.980298626596252 | 0.0394027468074963 | 0.0197013734037482 |
74 | 0.9861815553876 | 0.0276368892248014 | 0.0138184446124007 |
75 | 0.981739541944851 | 0.0365209161102975 | 0.0182604580551487 |
76 | 0.978303224777073 | 0.0433935504458542 | 0.0216967752229271 |
77 | 0.971565821428782 | 0.0568683571424353 | 0.0284341785712176 |
78 | 0.962942949352355 | 0.0741141012952905 | 0.0370570506476452 |
79 | 0.976970462191356 | 0.046059075617288 | 0.023029537808644 |
80 | 0.974956288094458 | 0.0500874238110844 | 0.0250437119055422 |
81 | 0.977416042029847 | 0.0451679159403056 | 0.0225839579701528 |
82 | 0.977358642351664 | 0.0452827152966729 | 0.0226413576483364 |
83 | 0.970057249538305 | 0.0598855009233898 | 0.0299427504616949 |
84 | 0.962736771992479 | 0.0745264560150421 | 0.0372632280075211 |
85 | 0.988826932582823 | 0.0223461348343531 | 0.0111730674171766 |
86 | 0.984892181994422 | 0.0302156360111567 | 0.0151078180055783 |
87 | 0.979832142454912 | 0.0403357150901754 | 0.0201678575450877 |
88 | 0.974004111737015 | 0.0519917765259692 | 0.0259958882629846 |
89 | 0.969317300147167 | 0.0613653997056654 | 0.0306826998528327 |
90 | 0.9604921571153 | 0.0790156857694 | 0.0395078428847 |
91 | 0.953781361713128 | 0.0924372765737438 | 0.0462186382868719 |
92 | 0.971591777283056 | 0.0568164454338878 | 0.0284082227169439 |
93 | 0.963663791262621 | 0.0726724174747576 | 0.0363362087373788 |
94 | 0.960409418749607 | 0.0791811625007853 | 0.0395905812503926 |
95 | 0.95115765513406 | 0.0976846897318783 | 0.0488423448659391 |
96 | 0.940429892070924 | 0.119140215858152 | 0.0595701079290762 |
97 | 0.933728131967063 | 0.132543736065874 | 0.0662718680329369 |
98 | 0.917146318373977 | 0.165707363252046 | 0.082853681626023 |
99 | 0.908064004375226 | 0.183871991249547 | 0.0919359956247737 |
100 | 0.888924852861152 | 0.222150294277696 | 0.111075147138848 |
101 | 0.864636295194498 | 0.270727409611004 | 0.135363704805502 |
102 | 0.843986922667751 | 0.312026154664498 | 0.156013077332249 |
103 | 0.849693407506405 | 0.300613184987189 | 0.150306592493595 |
104 | 0.898955280253977 | 0.202089439492047 | 0.101044719746023 |
105 | 0.89668656819555 | 0.206626863608902 | 0.103313431804451 |
106 | 0.872463442863565 | 0.255073114272870 | 0.127536557136435 |
107 | 0.847684038967963 | 0.304631922064074 | 0.152315961032037 |
108 | 0.840121853234237 | 0.319756293531526 | 0.159878146765763 |
109 | 0.830526839947247 | 0.338946320105506 | 0.169473160052753 |
110 | 0.848534971040357 | 0.302930057919286 | 0.151465028959643 |
111 | 0.832573636327333 | 0.334852727345334 | 0.167426363672667 |
112 | 0.875924106553221 | 0.248151786893558 | 0.124075893446779 |
113 | 0.845739256879454 | 0.308521486241091 | 0.154260743120546 |
114 | 0.815756589203797 | 0.368486821592406 | 0.184243410796203 |
115 | 0.777487948425372 | 0.445024103149257 | 0.222512051574628 |
116 | 0.781167428419542 | 0.437665143160916 | 0.218832571580458 |
117 | 0.799776585613042 | 0.400446828773916 | 0.200223414386958 |
118 | 0.785412141312459 | 0.429175717375082 | 0.214587858687541 |
119 | 0.739529139064996 | 0.520941721870007 | 0.260470860935004 |
120 | 0.811410086224054 | 0.377179827551893 | 0.188589913775946 |
121 | 0.780572793346612 | 0.438854413306777 | 0.219427206653388 |
122 | 0.754757734574798 | 0.490484530850405 | 0.245242265425202 |
123 | 0.746039563795274 | 0.507920872409452 | 0.253960436204726 |
124 | 0.699331152701279 | 0.601337694597443 | 0.300668847298721 |
125 | 0.700103667502263 | 0.599792664995473 | 0.299896332497737 |
126 | 0.68713561496015 | 0.625728770079701 | 0.312864385039851 |
127 | 0.627867839390222 | 0.744264321219555 | 0.372132160609778 |
128 | 0.590287770921604 | 0.819424458156792 | 0.409712229078396 |
129 | 0.594142841031002 | 0.811714317937997 | 0.405857158968998 |
130 | 0.585586085035124 | 0.828827829929752 | 0.414413914964876 |
131 | 0.517099397344465 | 0.96580120531107 | 0.482900602655535 |
132 | 0.501211851611816 | 0.997576296776368 | 0.498788148388184 |
133 | 0.468678804538642 | 0.937357609077284 | 0.531321195461358 |
134 | 0.398534551495579 | 0.797069102991158 | 0.601465448504421 |
135 | 0.370425734924566 | 0.740851469849131 | 0.629574265075434 |
136 | 0.367127678584287 | 0.734255357168574 | 0.632872321415713 |
137 | 0.294820146990136 | 0.589640293980272 | 0.705179853009864 |
138 | 0.366272950938823 | 0.732545901877646 | 0.633727049061177 |
139 | 0.732867165495646 | 0.534265669008707 | 0.267132834504354 |
140 | 0.745324383451238 | 0.509351233097523 | 0.254675616548762 |
141 | 0.694316230160992 | 0.611367539678016 | 0.305683769839008 |
142 | 0.59806828235943 | 0.80386343528114 | 0.40193171764057 |
143 | 0.532759158396127 | 0.934481683207745 | 0.467240841603873 |
144 | 0.410260787972307 | 0.820521575944614 | 0.589739212027693 |
145 | 0.387764349515841 | 0.775528699031683 | 0.612235650484159 |
146 | 0.566723446609808 | 0.866553106780384 | 0.433276553390192 |
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 | 31 | 0.226277372262774 | NOK |
10% type I error level | 48 | 0.35036496350365 | NOK |