Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.0422788742601457 + 0.107901800776091FindingFriends[t] + 0.211040385215400KnowingPeople[t] + 0.359974774820001Liked[t] + 0.606491671344046Celebrity[t] + 0.212457917682306SumFriends[t] -0.000685171025765t + 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) | 0.0422788742601457 | 1.428584 | 0.0296 | 0.97643 | 0.488215 |
FindingFriends | 0.107901800776091 | 0.096234 | 1.1212 | 0.263987 | 0.131993 |
KnowingPeople | 0.211040385215400 | 0.063872 | 3.3041 | 0.001193 | 0.000597 |
Liked | 0.359974774820001 | 0.097099 | 3.7073 | 0.000295 | 0.000147 |
Celebrity | 0.606491671344046 | 0.155924 | 3.8897 | 0.000151 | 7.5e-05 |
SumFriends | 0.212457917682306 | 0.120422 | 1.7643 | 0.079733 | 0.039867 |
t | -0.000685171025765 | 0.003797 | -0.1804 | 0.857055 | 0.428527 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.713839592799361 |
R-squared | 0.509566964247958 |
Adjusted R-squared | 0.489817982942506 |
F-TEST (value) | 25.8021898125601 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.09754558153579 |
Sum Squared Residuals | 655.55492252643 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 11.3229454283959 | 1.67705457160413 |
2 | 12 | 10.9486415703074 | 1.05135842969255 |
3 | 15 | 13.0502724167128 | 1.94972758328717 |
4 | 12 | 11.0839581726009 | 0.916041827399105 |
5 | 10 | 10.8578295118334 | -0.857829511833381 |
6 | 12 | 9.1619023834809 | 2.8380976165191 |
7 | 15 | 16.7857053211747 | -1.78570532117466 |
8 | 9 | 10.2512104788150 | -1.25121047881501 |
9 | 12 | 12.6009445409424 | -0.600944540942367 |
10 | 11 | 7.61481993870763 | 3.38518006129237 |
11 | 11 | 13.2668677888948 | -2.26686778889479 |
12 | 11 | 12.0338858299024 | -1.03388582990235 |
13 | 15 | 12.4389501733781 | 2.56104982662194 |
14 | 7 | 11.4588340496126 | -4.45883404961262 |
15 | 11 | 11.5509892346533 | -0.550989234653334 |
16 | 11 | 10.6678098810397 | 0.332190118960308 |
17 | 10 | 12.0304599747735 | -2.03045997477353 |
18 | 14 | 14.4183915607956 | -0.418391560795577 |
19 | 10 | 8.5716607062539 | 1.42833929374609 |
20 | 6 | 9.28139865219458 | -3.28139865219458 |
21 | 11 | 8.79386043692441 | 2.20613956307559 |
22 | 15 | 14.4511273880012 | 0.548872611998838 |
23 | 11 | 11.861083303085 | -0.861083303085009 |
24 | 12 | 9.60854411922348 | 2.39145588077652 |
25 | 14 | 13.0166570045667 | 0.983342995433302 |
26 | 15 | 14.6225330453379 | 0.37746695466205 |
27 | 9 | 14.4462840004054 | -5.44628400040543 |
28 | 13 | 12.7628107596925 | 0.237189240307485 |
29 | 13 | 13.0516032254223 | -0.0516032254222731 |
30 | 16 | 11.1078557204266 | 4.8921442795734 |
31 | 13 | 8.73151829892865 | 4.26848170107135 |
32 | 12 | 13.6164243273274 | -1.61642432732742 |
33 | 14 | 14.7639502251761 | -0.763950225176144 |
34 | 11 | 10.1010751407169 | 0.89892485928313 |
35 | 9 | 10.4451687788017 | -1.44516877880166 |
36 | 16 | 14.4695820104095 | 1.53041798959049 |
37 | 12 | 13.0980984111851 | -1.09809841118513 |
38 | 10 | 9.58194106326637 | 0.418058936733627 |
39 | 13 | 12.9005803418968 | 0.0994196581031959 |
40 | 16 | 15.6457656901528 | 0.354234309847196 |
41 | 14 | 13.0085293330883 | 0.991470666911728 |
42 | 15 | 8.03147527897429 | 6.96852472102571 |
43 | 5 | 9.67129684307127 | -4.67129684307127 |
44 | 8 | 10.2675769107160 | -2.26757691071598 |
45 | 11 | 11.2702522296298 | -0.270252229629817 |
46 | 16 | 13.8636681233474 | 2.13633187665260 |
47 | 17 | 14.3468278861582 | 2.65317211384182 |
48 | 9 | 8.19992487189338 | 0.80007512810662 |
49 | 9 | 11.4402403544997 | -2.4402403544997 |
50 | 13 | 14.5029503562803 | -1.50295035628028 |
51 | 10 | 11.1008966234251 | -1.10089662342512 |
52 | 6 | 12.3794182702674 | -6.37941827026738 |
53 | 12 | 12.1178341636750 | -0.117834163675035 |
54 | 8 | 10.5189789233059 | -2.51897892330593 |
55 | 14 | 11.8629733151127 | 2.13702668488731 |
56 | 12 | 12.9198145161617 | -0.919814516161673 |
57 | 11 | 10.6774047739420 | 0.322595226058038 |
58 | 16 | 14.5986794211105 | 1.40132057888950 |
59 | 8 | 10.5491561624660 | -2.54915616246603 |
60 | 15 | 14.6052491925346 | 0.394750807465382 |
61 | 7 | 9.12280044459692 | -2.12280044459692 |
62 | 16 | 14.1996945896957 | 1.80030541030429 |
63 | 14 | 13.1511018693010 | 0.848898130699046 |
64 | 16 | 13.3909426982104 | 2.60905730178963 |
65 | 9 | 10.4370886011521 | -1.43708860115210 |
66 | 14 | 12.1724504684178 | 1.82754953158221 |
67 | 11 | 13.2652787997115 | -2.26527879971149 |
68 | 13 | 10.3324051225716 | 2.66759487742844 |
69 | 15 | 13.2018024620492 | 1.79819753795084 |
70 | 5 | 5.78687670633618 | -0.78687670633618 |
71 | 15 | 12.9095369507752 | 2.09046304922480 |
72 | 13 | 12.5932552776278 | 0.406744722372182 |
73 | 11 | 12.4225623102152 | -1.42256231021516 |
74 | 11 | 14.2019052867592 | -3.20190528675919 |
75 | 12 | 12.770847449127 | -0.770847449126987 |
76 | 12 | 13.4066291176173 | -1.40662911761730 |
77 | 12 | 12.3363389159882 | -0.336338915988176 |
78 | 12 | 11.9450791306866 | 0.0549208693134415 |
79 | 14 | 10.8618244224818 | 3.13817557751819 |
80 | 6 | 7.93369289619485 | -1.93369289619485 |
81 | 7 | 9.71700622789257 | -2.71700622789257 |
82 | 14 | 12.3979675769200 | 1.60203242308003 |
83 | 14 | 14.1642325913724 | -0.164232591372359 |
84 | 10 | 11.1622582431510 | -1.16225824315104 |
85 | 13 | 9.11060893737928 | 3.88939106262072 |
86 | 12 | 12.3021253599872 | -0.302125359987231 |
87 | 9 | 9.3085421542196 | -0.308542154219595 |
88 | 12 | 11.9157364811797 | 0.0842635188202862 |
89 | 16 | 14.7992546829366 | 1.20074531706335 |
90 | 10 | 10.44993449368 | -0.449934493680007 |
91 | 14 | 13.1007142321554 | 0.899285767844572 |
92 | 10 | 13.5856333596382 | -3.58563335963817 |
93 | 16 | 15.5048955088810 | 0.495104491118956 |
94 | 15 | 13.3895328228167 | 1.61046717718326 |
95 | 12 | 11.4750810803260 | 0.524918919673974 |
96 | 10 | 9.34533635521919 | 0.654663644780811 |
97 | 8 | 10.1063714494618 | -2.10637144946177 |
98 | 8 | 8.69927681792892 | -0.699276817928916 |
99 | 11 | 12.6492225563186 | -1.64922255631859 |
100 | 13 | 12.5460234721373 | 0.453976527862662 |
101 | 16 | 15.6025527251142 | 0.397447274885767 |
102 | 16 | 14.9277138096138 | 1.07228619038624 |
103 | 14 | 15.40097191064 | -1.40097191064001 |
104 | 11 | 9.02930394347526 | 1.97069605652474 |
105 | 4 | 7.13116239143005 | -3.13116239143005 |
106 | 14 | 14.7316815286915 | -0.731681528691532 |
107 | 9 | 10.5059486593727 | -1.50594865937267 |
108 | 14 | 15.2097347363448 | -1.20973473634482 |
109 | 8 | 10.2285968715611 | -2.22859687156112 |
110 | 8 | 10.6596323591557 | -2.65963235915573 |
111 | 11 | 11.8622906426285 | -0.862290642628484 |
112 | 12 | 13.1319315935648 | -1.13193159356483 |
113 | 11 | 11.0555809548939 | -0.0555809548938764 |
114 | 14 | 13.2535455624828 | 0.746454437517184 |
115 | 15 | 14.4332022877703 | 0.56679771222969 |
116 | 16 | 13.4202548654152 | 2.57974513458479 |
117 | 16 | 12.8900977421186 | 3.10990225788139 |
118 | 11 | 12.7680356448051 | -1.76803564480507 |
119 | 14 | 14.1620573736940 | -0.162057373694014 |
120 | 14 | 10.8500426008709 | 3.14995739912905 |
121 | 12 | 11.5296919231236 | 0.470308076876418 |
122 | 14 | 12.5117833887074 | 1.48821661129263 |
123 | 8 | 10.8522396851944 | -2.85223968519437 |
124 | 13 | 14.0540754016590 | -1.05407540165897 |
125 | 16 | 13.9454884298571 | 2.05451157014288 |
126 | 12 | 10.5891164498195 | 1.41088355018051 |
127 | 16 | 15.4535526772360 | 0.546447322764025 |
128 | 12 | 12.7336264712306 | -0.733626471230597 |
129 | 11 | 11.4245311098640 | -0.42453110986404 |
130 | 4 | 5.94852914306801 | -1.94852914306801 |
131 | 16 | 16.0881857461798 | -0.0881857461798333 |
132 | 15 | 12.6272365837522 | 2.37276341624783 |
133 | 10 | 11.3323168190482 | -1.33231681904819 |
134 | 13 | 13.9879527607243 | -0.98795276072434 |
135 | 15 | 13.0916401138041 | 1.90835988619594 |
136 | 12 | 10.4613773667263 | 1.53862263327370 |
137 | 14 | 13.6169066590895 | 0.383093340910459 |
138 | 7 | 10.3377021193723 | -3.33770211937232 |
139 | 19 | 13.8709549749518 | 5.1290450250482 |
140 | 12 | 12.9018752063590 | -0.901875206359016 |
141 | 12 | 11.8273324073292 | 0.172667592670824 |
142 | 13 | 13.2978843018391 | -0.297884301839101 |
143 | 15 | 12.3792495024006 | 2.62075049759937 |
144 | 8 | 8.78114102917261 | -0.781141029172615 |
145 | 12 | 10.8787091303921 | 1.12129086960788 |
146 | 10 | 10.7202088738558 | -0.72020887385583 |
147 | 8 | 11.2092665463915 | -3.20926654639153 |
148 | 10 | 14.6134096734128 | -4.6134096734128 |
149 | 15 | 13.8197249919958 | 1.18027500800424 |
150 | 16 | 14.0183644453457 | 1.98163555465434 |
151 | 13 | 13.2207100056067 | -0.220710005606677 |
152 | 16 | 15.0409721154632 | 0.959027884536796 |
153 | 9 | 9.7693949660099 | -0.769394966009893 |
154 | 14 | 13.0117526523669 | 0.988247347633058 |
155 | 14 | 13.0984994811350 | 0.901500518865017 |
156 | 12 | 10.1213022656799 | 1.87869773432008 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.0769249686088593 | 0.153849937217719 | 0.92307503139114 |
11 | 0.113426184645691 | 0.226852369291381 | 0.886573815354309 |
12 | 0.0702391813723468 | 0.140478362744694 | 0.929760818627653 |
13 | 0.563585063487147 | 0.872829873025706 | 0.436414936512853 |
14 | 0.729368248847453 | 0.541263502305095 | 0.270631751152547 |
15 | 0.659434130151593 | 0.681131739696815 | 0.340565869848407 |
16 | 0.569035574025244 | 0.861928851949511 | 0.430964425974756 |
17 | 0.482636716513075 | 0.96527343302615 | 0.517363283486925 |
18 | 0.461884833940402 | 0.923769667880804 | 0.538115166059598 |
19 | 0.404155708708348 | 0.808311417416696 | 0.595844291291652 |
20 | 0.531143257840978 | 0.937713484318044 | 0.468856742159022 |
21 | 0.548434713400161 | 0.903130573199679 | 0.451565286599839 |
22 | 0.588785918961769 | 0.822428162076462 | 0.411214081038231 |
23 | 0.526538933373726 | 0.946922133252549 | 0.473461066626274 |
24 | 0.541207332809878 | 0.917585334380243 | 0.458792667190122 |
25 | 0.516147883834627 | 0.967704232330745 | 0.483852116165373 |
26 | 0.456570764409287 | 0.913141528818573 | 0.543429235590713 |
27 | 0.680681521294078 | 0.638636957411844 | 0.319318478705922 |
28 | 0.63386565451101 | 0.732268690977981 | 0.366134345488991 |
29 | 0.578273166433521 | 0.843453667132957 | 0.421726833566479 |
30 | 0.730829355354567 | 0.538341289290866 | 0.269170644645433 |
31 | 0.81176230026992 | 0.376475399460159 | 0.188237699730080 |
32 | 0.776586940498692 | 0.446826119002616 | 0.223413059501308 |
33 | 0.730261683521193 | 0.539476632957615 | 0.269738316478807 |
34 | 0.695603717588639 | 0.608792564822722 | 0.304396282411361 |
35 | 0.691579099149864 | 0.616841801700272 | 0.308420900850136 |
36 | 0.688288492493393 | 0.623423015013214 | 0.311711507506607 |
37 | 0.661300765282161 | 0.677398469435679 | 0.338699234717839 |
38 | 0.612418860063075 | 0.77516227987385 | 0.387581139936925 |
39 | 0.563166573043847 | 0.873666853912307 | 0.436833426956153 |
40 | 0.520027354588786 | 0.959945290822427 | 0.479972645411214 |
41 | 0.481142698296269 | 0.962285396592538 | 0.518857301703731 |
42 | 0.770009333350157 | 0.459981333299687 | 0.229990666649843 |
43 | 0.95101905559329 | 0.0979618888134217 | 0.0489809444067109 |
44 | 0.95524941073423 | 0.0895011785315403 | 0.0447505892657701 |
45 | 0.941838204057146 | 0.116323591885708 | 0.0581617959428539 |
46 | 0.949683263770228 | 0.100633472459545 | 0.0503167362297724 |
47 | 0.949267860635503 | 0.101464278728994 | 0.0507321393644971 |
48 | 0.93855244317928 | 0.122895113641442 | 0.0614475568207209 |
49 | 0.936241146295479 | 0.127517707409043 | 0.0637588537045214 |
50 | 0.924519038763673 | 0.150961922472653 | 0.0754809612363267 |
51 | 0.917067898726457 | 0.165864202547086 | 0.0829321012735431 |
52 | 0.986884755219867 | 0.0262304895602666 | 0.0131152447801333 |
53 | 0.982764290324557 | 0.034471419350885 | 0.0172357096754425 |
54 | 0.986455017393267 | 0.0270899652134659 | 0.0135449826067330 |
55 | 0.991156863376892 | 0.0176862732462161 | 0.00884313662310807 |
56 | 0.988355336411087 | 0.0232893271778255 | 0.0116446635889127 |
57 | 0.984322083168263 | 0.0313558336634737 | 0.0156779168317368 |
58 | 0.98250729027616 | 0.0349854194476782 | 0.0174927097238391 |
59 | 0.98798338166841 | 0.0240332366631784 | 0.0120166183315892 |
60 | 0.987072194460296 | 0.0258556110794081 | 0.0129278055397041 |
61 | 0.98688232031371 | 0.0262353593725817 | 0.0131176796862908 |
62 | 0.987456880225994 | 0.0250862395480124 | 0.0125431197740062 |
63 | 0.986031796729663 | 0.0279364065406739 | 0.0139682032703370 |
64 | 0.98895101497247 | 0.0220979700550612 | 0.0110489850275306 |
65 | 0.987593675966376 | 0.024812648067247 | 0.0124063240336235 |
66 | 0.987014291123916 | 0.0259714177521671 | 0.0129857088760836 |
67 | 0.987387948101294 | 0.0252241037974117 | 0.0126120518987058 |
68 | 0.990003657441651 | 0.0199926851166972 | 0.0099963425583486 |
69 | 0.989465938306517 | 0.0210681233869652 | 0.0105340616934826 |
70 | 0.9862727032158 | 0.0274545935684006 | 0.0137272967842003 |
71 | 0.986849246248584 | 0.0263015075028313 | 0.0131507537514156 |
72 | 0.982617473989787 | 0.0347650520204252 | 0.0173825260102126 |
73 | 0.979414301896697 | 0.0411713962066070 | 0.0205856981033035 |
74 | 0.985678538657707 | 0.0286429226845863 | 0.0143214613422931 |
75 | 0.981128602605813 | 0.037742794788374 | 0.018871397394187 |
76 | 0.977786351747742 | 0.0444272965045168 | 0.0222136482522584 |
77 | 0.971043897750517 | 0.0579122044989662 | 0.0289561022494831 |
78 | 0.962237263653105 | 0.07552547269379 | 0.037762736346895 |
79 | 0.976027939675934 | 0.0479441206481321 | 0.0239720603240660 |
80 | 0.973996470491219 | 0.0520070590175623 | 0.0260035295087812 |
81 | 0.976806498669516 | 0.046387002660967 | 0.0231935013304835 |
82 | 0.976399240281436 | 0.0472015194371282 | 0.0236007597185641 |
83 | 0.968838090293502 | 0.0623238194129967 | 0.0311619097064984 |
84 | 0.961553386056901 | 0.0768932278861977 | 0.0384466139430989 |
85 | 0.987956146651313 | 0.0240877066973731 | 0.0120438533486866 |
86 | 0.983772162882018 | 0.0324556742359639 | 0.0162278371179820 |
87 | 0.978493102166136 | 0.0430137956677281 | 0.0215068978338641 |
88 | 0.972304214559655 | 0.0553915708806898 | 0.0276957854403449 |
89 | 0.967407048323728 | 0.0651859033525439 | 0.0325929516762719 |
90 | 0.958365347811157 | 0.083269304377686 | 0.041634652188843 |
91 | 0.951978662874677 | 0.0960426742506467 | 0.0480213371253233 |
92 | 0.969609837576824 | 0.0607803248463525 | 0.0303901624231762 |
93 | 0.96121643984532 | 0.0775671203093583 | 0.0387835601546791 |
94 | 0.957914140750117 | 0.0841717184997668 | 0.0420858592498834 |
95 | 0.948718490038674 | 0.102563019922651 | 0.0512815099613255 |
96 | 0.938664577157452 | 0.122670845685097 | 0.0613354228425485 |
97 | 0.931685955640147 | 0.136628088719707 | 0.0683140443598535 |
98 | 0.915502826190057 | 0.168994347619887 | 0.0844971738099434 |
99 | 0.906208124037952 | 0.187583751924096 | 0.093791875962048 |
100 | 0.888552545908263 | 0.222894908183475 | 0.111447454091737 |
101 | 0.864314528118522 | 0.271370943762955 | 0.135685471881478 |
102 | 0.846373604381371 | 0.307252791237257 | 0.153626395618629 |
103 | 0.846247427016688 | 0.307505145966624 | 0.153752572983312 |
104 | 0.897430054103697 | 0.205139891792605 | 0.102569945896302 |
105 | 0.894070534691886 | 0.211858930616228 | 0.105929465308114 |
106 | 0.868575815953268 | 0.262848368093464 | 0.131424184046732 |
107 | 0.842584208671341 | 0.314831582657317 | 0.157415791328659 |
108 | 0.830949136612741 | 0.338101726774517 | 0.169050863387259 |
109 | 0.821470409629004 | 0.357059180741992 | 0.178529590370996 |
110 | 0.844533336245618 | 0.310933327508765 | 0.155466663754382 |
111 | 0.831661380692579 | 0.336677238614843 | 0.168338619307421 |
112 | 0.885029484518534 | 0.229941030962932 | 0.114970515481466 |
113 | 0.855881744120244 | 0.288236511759512 | 0.144118255879756 |
114 | 0.829589290619283 | 0.340821418761434 | 0.170410709380717 |
115 | 0.793546722535682 | 0.412906554928636 | 0.206453277464318 |
116 | 0.7883451801048 | 0.4233096397904 | 0.2116548198952 |
117 | 0.799437937318468 | 0.401124125363064 | 0.200562062681532 |
118 | 0.792579079137657 | 0.414841841724686 | 0.207420920862343 |
119 | 0.748848610315745 | 0.502302779368509 | 0.251151389684255 |
120 | 0.807636564006685 | 0.384726871986629 | 0.192363435993315 |
121 | 0.77458882903606 | 0.450822341927881 | 0.225411170963941 |
122 | 0.748018263896552 | 0.503963472206895 | 0.251981736103448 |
123 | 0.740448390473104 | 0.519103219053793 | 0.259551609526896 |
124 | 0.69444469286775 | 0.611110614264501 | 0.305555307132251 |
125 | 0.69320485591071 | 0.61359028817858 | 0.30679514408929 |
126 | 0.685370216057684 | 0.629259567884633 | 0.314629783942316 |
127 | 0.624961492118192 | 0.750077015763616 | 0.375038507881808 |
128 | 0.58135224128217 | 0.837295517435661 | 0.418647758717830 |
129 | 0.595087862938056 | 0.809824274123888 | 0.404912137061944 |
130 | 0.600866750520333 | 0.798266498959334 | 0.399133249479667 |
131 | 0.537688209587014 | 0.924623580825971 | 0.462311790412986 |
132 | 0.506754389074648 | 0.986491221850704 | 0.493245610925352 |
133 | 0.488649664102352 | 0.977299328204704 | 0.511350335897648 |
134 | 0.414580966842154 | 0.829161933684309 | 0.585419033157846 |
135 | 0.37427737609642 | 0.74855475219284 | 0.62572262390358 |
136 | 0.366185057788308 | 0.732370115576617 | 0.633814942211692 |
137 | 0.293944941019253 | 0.587889882038507 | 0.706055058980747 |
138 | 0.369583689153775 | 0.73916737830755 | 0.630416310846225 |
139 | 0.760652911928199 | 0.478694176143602 | 0.239347088071801 |
140 | 0.742262861666488 | 0.515474276667025 | 0.257737138333512 |
141 | 0.692243638858141 | 0.615512722283719 | 0.307756361141860 |
142 | 0.605101613287318 | 0.789796773425363 | 0.394898386712682 |
143 | 0.532565670799797 | 0.934868658400407 | 0.467434329200204 |
144 | 0.407376376806561 | 0.814752753613123 | 0.592623623193439 |
145 | 0.467845343159032 | 0.935690686318063 | 0.532154656840968 |
146 | 0.721255047136129 | 0.557489905727742 | 0.278744952863871 |
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 | 45 | 0.328467153284672 | NOK |