Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 1.20820716919088 + 0.13002278384503FindingFriends[t] + 0.22210132830252KnowingPeople[t] + 0.337203746175027Liked[t] + 0.569203382109655Celebrity[t] + 0.234237609027133SumFriends1[t] -0.826628007906952Gender[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) | 1.20820716919088 | 1.484305 | 0.814 | 0.41695 | 0.208475 |
FindingFriends | 0.13002278384503 | 0.094558 | 1.3751 | 0.171176 | 0.085588 |
KnowingPeople | 0.22210132830252 | 0.0628 | 3.5367 | 0.00054 | 0.00027 |
Liked | 0.337203746175027 | 0.094831 | 3.5558 | 0.000505 | 0.000253 |
Celebrity | 0.569203382109655 | 0.15376 | 3.7019 | 0.000301 | 0.00015 |
SumFriends1 | 0.234237609027133 | 0.118517 | 1.9764 | 0.049955 | 0.024978 |
Gender | -0.826628007906952 | 0.344691 | -2.3982 | 0.017715 | 0.008857 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.72642302133931 |
R-squared | 0.527690405931731 |
Adjusted R-squared | 0.508671227647103 |
F-TEST (value) | 27.7451737417185 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.05842445387573 |
Sum Squared Residuals | 631.329573614728 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 10.9144000042562 | 2.08559999574375 |
2 | 12 | 11.1825664136952 | 0.817433586304789 |
3 | 15 | 13.1575031708228 | 1.84249682917716 |
4 | 12 | 11.2708715878465 | 0.729128412153506 |
5 | 10 | 10.3341632204075 | -0.33416322040745 |
6 | 12 | 8.6582265670914 | 3.3417734329086 |
7 | 15 | 16.9515039192188 | -1.95150391921877 |
8 | 9 | 10.6052595241431 | -1.60525952414306 |
9 | 12 | 12.9858875746571 | -0.985887574657101 |
10 | 11 | 7.8059710781831 | 3.1940289218169 |
11 | 11 | 12.5974718916322 | -1.59747189163215 |
12 | 11 | 12.3151076435645 | -1.31510764356453 |
13 | 15 | 12.8576595910017 | 2.14234040899832 |
14 | 7 | 11.066457376458 | -4.06645737645798 |
15 | 11 | 10.9630860272855 | 0.036913972714543 |
16 | 11 | 11.0494621807481 | -0.0494621807481023 |
17 | 10 | 12.3151076435645 | -2.31510764356453 |
18 | 14 | 13.8299147587499 | 0.170085241250129 |
19 | 10 | 8.9124239347379 | 1.0875760652621 |
20 | 6 | 8.68431494040592 | -2.68431494040592 |
21 | 11 | 9.09702419655577 | 1.90297580344423 |
22 | 15 | 13.839813066382 | 1.16018693361802 |
23 | 11 | 12.2983545165241 | -1.29835451652414 |
24 | 12 | 9.12446381205316 | 2.87553618794684 |
25 | 14 | 13.3064790939225 | 0.693520906077494 |
26 | 15 | 14.0398798063278 | 0.960120193672223 |
27 | 9 | 13.8276767856574 | -4.82767678565737 |
28 | 13 | 13.0349998213866 | -0.0349998213866353 |
29 | 13 | 12.4391227613801 | 0.560877238619896 |
30 | 16 | 11.4190419958148 | 4.58095800418515 |
31 | 13 | 9.13577395107463 | 3.86422604892537 |
32 | 12 | 13.0353827901869 | -1.03538279018689 |
33 | 14 | 15.0307014671611 | -1.03070146716109 |
34 | 11 | 9.50088149732562 | 1.49911850267438 |
35 | 9 | 10.8394971331702 | -1.8394971331702 |
36 | 16 | 13.9490499499045 | 2.0509500500955 |
37 | 12 | 13.3388551628142 | -1.33885516281423 |
38 | 10 | 9.0597223289444 | 0.9402776710556 |
39 | 13 | 13.1885925908021 | -0.188592590802089 |
40 | 16 | 15.9163226951233 | 0.0836773048767376 |
41 | 14 | 12.5041236474648 | 1.49587635253522 |
42 | 15 | 8.3133798206832 | 6.6866201793168 |
43 | 5 | 10.097024254836 | -5.09702425483596 |
44 | 8 | 9.76371115026359 | -1.76371115026359 |
45 | 11 | 11.5187808748119 | -0.518780874811944 |
46 | 16 | 13.2805079919044 | 2.71949200809557 |
47 | 17 | 14.8183575463599 | 2.18164245364009 |
48 | 9 | 7.81234437870639 | 1.18765562129361 |
49 | 9 | 11.7067113340331 | -2.70671133403313 |
50 | 13 | 14.7744292697772 | -1.77442926977724 |
51 | 10 | 11.3197034199244 | -1.31970341992444 |
52 | 6 | 11.8838504601847 | -5.88385046018467 |
53 | 12 | 11.5815474651734 | 0.418452534826633 |
54 | 8 | 10.0209726327057 | -2.02097263270574 |
55 | 14 | 11.3622302221188 | 2.63776977788124 |
56 | 12 | 13.3221020357738 | -1.32210203577383 |
57 | 11 | 11.0087338561127 | -0.0087338561126512 |
58 | 16 | 14.8528361362964 | 1.14716386370359 |
59 | 8 | 10.1053908426236 | -2.10539084262362 |
60 | 15 | 14.7550329576197 | 0.244967042380292 |
61 | 7 | 8.64609028636679 | -1.64609028636679 |
62 | 16 | 13.7418689875745 | 2.2581310124255 |
63 | 14 | 13.4676123094225 | 0.532387690577533 |
64 | 16 | 13.628762474125 | 2.37123752587499 |
65 | 9 | 10.7138044864615 | -1.71380448646145 |
66 | 14 | 12.5273106642349 | 1.47268933576506 |
67 | 11 | 12.8453601669219 | -1.84536016692193 |
68 | 13 | 9.79663333131071 | 3.20336666868929 |
69 | 15 | 13.5649892643989 | 1.43501073560114 |
70 | 5 | 5.55657615356619 | -0.556576153566193 |
71 | 15 | 13.3221020357738 | 1.67789796422617 |
72 | 13 | 12.9957858822892 | 0.00421411771079032 |
73 | 11 | 11.9321361801072 | -0.932136180107215 |
74 | 11 | 13.5291408664244 | -2.52914086642436 |
75 | 12 | 13.0828423684063 | -1.08284236840628 |
76 | 12 | 13.7749543119768 | -1.77495431197677 |
77 | 12 | 12.7764686392346 | -0.7764686392346 |
78 | 12 | 12.241457137882 | -0.241457137881956 |
79 | 14 | 11.1848043867877 | 2.81519561321228 |
80 | 6 | 8.35634611841115 | -2.35634611841115 |
81 | 7 | 9.22742994920106 | -2.22742994920106 |
82 | 14 | 12.6818864241808 | 1.31811357581921 |
83 | 14 | 14.4465777190789 | -0.446577719078915 |
84 | 10 | 11.4858586937648 | -1.48585869376482 |
85 | 13 | 8.68249912854063 | 4.31750087145937 |
86 | 12 | 11.8406037478051 | 0.159396252194869 |
87 | 9 | 8.87933861033563 | 0.120661389664373 |
88 | 12 | 12.1074015807548 | -0.107401580754807 |
89 | 16 | 15.0014068473715 | 0.998593152628547 |
90 | 10 | 10.0100850400153 | -0.0100850400153331 |
91 | 14 | 13.3117985161171 | 0.68820148388291 |
92 | 10 | 13.8751363638768 | -3.87513636387676 |
93 | 16 | 15.8121078699412 | 0.18789213005884 |
94 | 15 | 13.7370100725892 | 1.26298992741077 |
95 | 12 | 11.02349107873 | 0.976508921269972 |
96 | 10 | 9.70471793020837 | 0.29528206979163 |
97 | 8 | 10.2132505633696 | -2.21325056336964 |
98 | 8 | 8.34807946761351 | -0.348079467613512 |
99 | 11 | 12.0771003416004 | -1.07710034160045 |
100 | 13 | 12.8865489987667 | 0.113451001233307 |
101 | 16 | 15.9041864143986 | 0.0958135856013505 |
102 | 16 | 15.2528027954636 | 0.747197204536387 |
103 | 14 | 14.8701180411858 | -0.87011804118579 |
104 | 11 | 9.35204770590541 | 1.64795229409459 |
105 | 4 | 6.72250374906121 | -2.72250374906121 |
106 | 14 | 14.9444884570536 | -0.944488457053594 |
107 | 9 | 10.9188932847477 | -1.91889328474767 |
108 | 14 | 15.4577457847011 | -1.45774578470111 |
109 | 8 | 10.5655204845659 | -2.56552048456591 |
110 | 8 | 10.859757933013 | -2.85975793301298 |
111 | 11 | 12.1481299053903 | -1.14812990539026 |
112 | 12 | 13.355591340652 | -1.35559134065204 |
113 | 11 | 11.2954308584752 | -0.295430858475215 |
114 | 14 | 13.5366839296675 | 0.463316070332479 |
115 | 15 | 13.862836939797 | 1.137163060203 |
116 | 16 | 13.7600339460042 | 2.23996605399575 |
117 | 16 | 13.1873439027679 | 2.81265609723212 |
118 | 11 | 12.1709906354501 | -1.17099063545013 |
119 | 14 | 13.7540052682991 | 0.245994731700887 |
120 | 14 | 10.4421514158958 | 3.55784858410424 |
121 | 12 | 11.9702435628499 | 0.0297564371500984 |
122 | 14 | 12.1339977202426 | 1.86600227975737 |
123 | 8 | 10.4785602580696 | -2.4785602580696 |
124 | 13 | 13.649790443117 | -0.64979044311701 |
125 | 16 | 13.519767659272 | 2.48023234072802 |
126 | 12 | 10.8413298942381 | 1.15867010576193 |
127 | 16 | 15.7028709864186 | 0.297129013581357 |
128 | 12 | 13.0722414848954 | -1.07224148489537 |
129 | 11 | 11.6781192901223 | -0.678119290122291 |
130 | 4 | 6.37999791499802 | -2.37999791499802 |
131 | 16 | 16.4055838135 | -0.405583813500041 |
132 | 15 | 12.9786275432242 | 2.02137245677582 |
133 | 10 | 11.6249742701106 | -1.62497427011064 |
134 | 13 | 14.3936921020432 | -1.39369210204317 |
135 | 15 | 12.6070897846127 | 2.39291021538733 |
136 | 12 | 10.8354643598881 | 1.16453564011192 |
137 | 14 | 13.1555072663998 | 0.844492733600183 |
138 | 7 | 10.8174625448135 | -3.81746254481347 |
139 | 19 | 14.2151241952997 | 4.78487580470031 |
140 | 12 | 13.2950453890767 | -1.2950453890767 |
141 | 12 | 11.4335228662537 | 0.566477133746267 |
142 | 13 | 12.8291911129152 | 0.170808887084805 |
143 | 15 | 12.7233446308986 | 2.27665536910138 |
144 | 8 | 8.54741632547693 | -0.547416325476926 |
145 | 12 | 11.2918032972177 | 0.70819670278227 |
146 | 10 | 10.9933872664398 | -0.993387266439819 |
147 | 8 | 10.6931421519633 | -2.69314215196329 |
148 | 10 | 14.2470397569821 | -4.2470397569821 |
149 | 15 | 13.3776085947023 | 1.62239140529766 |
150 | 16 | 14.2187517565572 | 1.78124824344282 |
151 | 13 | 13.5478309253338 | -0.547830925333838 |
152 | 16 | 15.3557689326115 | 0.644231067388492 |
153 | 9 | 10.1340002208409 | -1.13400022084089 |
154 | 14 | 12.4621466347951 | 1.53785336520488 |
155 | 14 | 12.7274736638015 | 1.27252633619849 |
156 | 12 | 10.5826788236309 | 1.41732117636906 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.0962270946751361 | 0.192454189350272 | 0.903772905324864 |
11 | 0.158513422504586 | 0.317026845009173 | 0.841486577495414 |
12 | 0.0848783075361489 | 0.169756615072298 | 0.915121692463851 |
13 | 0.547274797878723 | 0.905450404242554 | 0.452725202121277 |
14 | 0.731376472127616 | 0.537247055744767 | 0.268623527872384 |
15 | 0.661440236129214 | 0.677119527741571 | 0.338559763870786 |
16 | 0.571096652931859 | 0.857806694136283 | 0.428903347068141 |
17 | 0.525732208776657 | 0.948535582446685 | 0.474267791223343 |
18 | 0.456898807746363 | 0.913797615492726 | 0.543101192253637 |
19 | 0.371762263003001 | 0.743524526006003 | 0.628237736996999 |
20 | 0.580526452614637 | 0.838947094770726 | 0.419473547385363 |
21 | 0.530711683936478 | 0.938576632127044 | 0.469288316063522 |
22 | 0.56071401883134 | 0.878571962337321 | 0.43928598116866 |
23 | 0.487329389452165 | 0.97465877890433 | 0.512670610547835 |
24 | 0.520411320415281 | 0.959177359169438 | 0.479588679584719 |
25 | 0.472525185968624 | 0.945050371937249 | 0.527474814031376 |
26 | 0.427849488651726 | 0.855698977303452 | 0.572150511348274 |
27 | 0.62045344990518 | 0.75909310018964 | 0.37954655009482 |
28 | 0.554310535433592 | 0.891378929132816 | 0.445689464566408 |
29 | 0.505566927658783 | 0.988866144682434 | 0.494433072341217 |
30 | 0.608792035935091 | 0.782415928129819 | 0.391207964064909 |
31 | 0.709810508697153 | 0.580378982605693 | 0.290189491302847 |
32 | 0.661795882070729 | 0.676408235858542 | 0.338204117929271 |
33 | 0.609387996685509 | 0.781224006628982 | 0.390612003314491 |
34 | 0.559097539316249 | 0.881804921367502 | 0.440902460683751 |
35 | 0.576787094893256 | 0.846425810213487 | 0.423212905106744 |
36 | 0.617372086536679 | 0.765255826926643 | 0.382627913463321 |
37 | 0.60582178129877 | 0.78835643740246 | 0.39417821870123 |
38 | 0.555444744846082 | 0.889110510307837 | 0.444555255153919 |
39 | 0.500846867098365 | 0.99830626580327 | 0.499153132901635 |
40 | 0.448892523475987 | 0.897785046951973 | 0.551107476524013 |
41 | 0.443543222724492 | 0.887086445448984 | 0.556456777275508 |
42 | 0.745259958250294 | 0.509480083499413 | 0.254740041749706 |
43 | 0.945827216756754 | 0.108345566486493 | 0.0541727832432463 |
44 | 0.943809745531333 | 0.112380508937334 | 0.0561902544686671 |
45 | 0.929856331772331 | 0.140287336455339 | 0.0701436682276695 |
46 | 0.949055631287192 | 0.101888737425616 | 0.050944368712808 |
47 | 0.942879827014544 | 0.114240345970913 | 0.0571201729854563 |
48 | 0.936290637042583 | 0.127418725914835 | 0.0637093629574174 |
49 | 0.941615448767885 | 0.116769102464229 | 0.0583845512321145 |
50 | 0.934939782091486 | 0.130120435817028 | 0.0650602179085142 |
51 | 0.932919410652801 | 0.134161178694397 | 0.0670805893471987 |
52 | 0.98909520350951 | 0.0218095929809798 | 0.0109047964904899 |
53 | 0.985409101041828 | 0.0291817979163445 | 0.0145908989581722 |
54 | 0.987985442394307 | 0.0240291152113868 | 0.0120145576056934 |
55 | 0.992376010161727 | 0.0152479796765452 | 0.00762398983827259 |
56 | 0.990822700731965 | 0.0183545985360697 | 0.00917729926803487 |
57 | 0.987506942913421 | 0.0249861141731577 | 0.0124930570865789 |
58 | 0.984610718822133 | 0.030778562355734 | 0.015389281177867 |
59 | 0.988691355743158 | 0.0226172885136843 | 0.0113086442568422 |
60 | 0.985798671642666 | 0.0284026567146683 | 0.0142013283573342 |
61 | 0.984597379814971 | 0.0308052403700581 | 0.0154026201850291 |
62 | 0.986749098934412 | 0.0265018021311769 | 0.0132509010655884 |
63 | 0.9835094853631 | 0.0329810292737996 | 0.0164905146368998 |
64 | 0.985089189086 | 0.0298216218279987 | 0.0149108109139994 |
65 | 0.985262943361636 | 0.0294741132767272 | 0.0147370566383636 |
66 | 0.98287346096849 | 0.034253078063018 | 0.017126539031509 |
67 | 0.981832567282567 | 0.0363348654348666 | 0.0181674327174333 |
68 | 0.988269824071966 | 0.0234603518560679 | 0.011730175928034 |
69 | 0.986375138862374 | 0.0272497222752519 | 0.013624861137626 |
70 | 0.981932339942387 | 0.0361353201152255 | 0.0180676600576128 |
71 | 0.980376815717004 | 0.0392463685659923 | 0.0196231842829962 |
72 | 0.973946546652014 | 0.0521069066959713 | 0.0260534533479856 |
73 | 0.967635729473137 | 0.0647285410537269 | 0.0323642705268634 |
74 | 0.972811061506486 | 0.0543778769870289 | 0.0271889384935145 |
75 | 0.96675911651519 | 0.0664817669696205 | 0.0332408834848103 |
76 | 0.964634896063897 | 0.0707302078722064 | 0.0353651039361032 |
77 | 0.956048282660142 | 0.087903434679716 | 0.043951717339858 |
78 | 0.944249072463948 | 0.111501855072104 | 0.0557509275360518 |
79 | 0.957677623668074 | 0.0846447526638524 | 0.0423223763319262 |
80 | 0.961409191412147 | 0.0771816171757063 | 0.0385908085878532 |
81 | 0.962985254042566 | 0.0740294919148676 | 0.0370147459574338 |
82 | 0.96045991615534 | 0.0790801676893211 | 0.0395400838446606 |
83 | 0.949462513812665 | 0.10107497237467 | 0.0505374861873351 |
84 | 0.942638331885743 | 0.114723336228515 | 0.0573616681142574 |
85 | 0.9836002246263 | 0.0327995507473996 | 0.0163997753736998 |
86 | 0.97832894348899 | 0.0433421130220202 | 0.0216710565110101 |
87 | 0.971685250357934 | 0.0566294992841315 | 0.0283147496420657 |
88 | 0.964098806830494 | 0.0718023863390119 | 0.035901193169506 |
89 | 0.955566506355347 | 0.0888669872893066 | 0.0444334936446533 |
90 | 0.943841690483464 | 0.112316619033073 | 0.0561583095165364 |
91 | 0.932578471524869 | 0.134843056950262 | 0.067421528475131 |
92 | 0.966749959730395 | 0.0665000805392107 | 0.0332500402696053 |
93 | 0.957052284028588 | 0.0858954319428232 | 0.0429477159714116 |
94 | 0.948725396600532 | 0.102549206798936 | 0.0512746033994682 |
95 | 0.939577001085103 | 0.120845997829793 | 0.0604229989148967 |
96 | 0.924125647721338 | 0.151748704557324 | 0.0758743522786622 |
97 | 0.92063762443319 | 0.158724751133619 | 0.0793623755668096 |
98 | 0.90163133884764 | 0.19673732230472 | 0.09836866115236 |
99 | 0.885807511039503 | 0.228384977920995 | 0.114192488960497 |
100 | 0.859948553064329 | 0.280102893871342 | 0.140051446935671 |
101 | 0.83188215266148 | 0.33623569467704 | 0.16811784733852 |
102 | 0.80104957815426 | 0.397900843691481 | 0.19895042184574 |
103 | 0.803477604496927 | 0.393044791006147 | 0.196522395503073 |
104 | 0.849391900444286 | 0.301216199111428 | 0.150608099555714 |
105 | 0.844105445813626 | 0.311789108372748 | 0.155894554186374 |
106 | 0.816222072873568 | 0.367555854252865 | 0.183777927126432 |
107 | 0.797073209347 | 0.405853581306002 | 0.202926790653001 |
108 | 0.799330084731244 | 0.401339830537511 | 0.200669915268756 |
109 | 0.80527849876542 | 0.389443002469159 | 0.19472150123458 |
110 | 0.837045964018044 | 0.325908071963912 | 0.162954035981956 |
111 | 0.826735592272983 | 0.346528815454034 | 0.173264407727017 |
112 | 0.881759003450685 | 0.236481993098629 | 0.118240996549314 |
113 | 0.851938913286024 | 0.296122173427952 | 0.148061086713976 |
114 | 0.82029664001168 | 0.35940671997664 | 0.17970335998832 |
115 | 0.786758563580733 | 0.426482872838533 | 0.213241436419267 |
116 | 0.77362091751375 | 0.452758164972498 | 0.226379082486249 |
117 | 0.777939507822761 | 0.444120984354478 | 0.222060492177239 |
118 | 0.748450541615614 | 0.503098916768772 | 0.251549458384386 |
119 | 0.699105183690561 | 0.601789632618878 | 0.300894816309439 |
120 | 0.79933743904695 | 0.401325121906102 | 0.200662560953051 |
121 | 0.758779670269408 | 0.482440659461185 | 0.241220329730593 |
122 | 0.736827236628351 | 0.526345526743297 | 0.263172763371649 |
123 | 0.718018407167582 | 0.563963185664837 | 0.281981592832418 |
124 | 0.666346677710072 | 0.667306644579856 | 0.333653322289928 |
125 | 0.681648392005328 | 0.636703215989344 | 0.318351607994672 |
126 | 0.665750582347491 | 0.668498835305018 | 0.334249417652509 |
127 | 0.609522734727258 | 0.780954530545483 | 0.390477265272742 |
128 | 0.605045705885128 | 0.789908588229744 | 0.394954294114872 |
129 | 0.622744273738877 | 0.754511452522247 | 0.377255726261123 |
130 | 0.664947101562755 | 0.670105796874489 | 0.335052898437245 |
131 | 0.611114409446637 | 0.777771181106726 | 0.388885590553363 |
132 | 0.566465870478368 | 0.867068259043264 | 0.433534129521632 |
133 | 0.525330257776233 | 0.949339484447533 | 0.474669742223767 |
134 | 0.453143846118363 | 0.906287692236726 | 0.546856153881637 |
135 | 0.478494562169608 | 0.956989124339217 | 0.521505437830392 |
136 | 0.456953122147726 | 0.913906244295453 | 0.543046877852274 |
137 | 0.375401186531926 | 0.750802373063852 | 0.624598813468074 |
138 | 0.595048600382258 | 0.809902799235485 | 0.404951399617742 |
139 | 0.81917890474313 | 0.36164219051374 | 0.18082109525687 |
140 | 0.932127224604827 | 0.135745550790346 | 0.0678727753951728 |
141 | 0.887937693564784 | 0.224124612870433 | 0.112062306435216 |
142 | 0.825663205307197 | 0.348673589385606 | 0.174336794692803 |
143 | 0.788988434294927 | 0.422023131410145 | 0.211011565705073 |
144 | 0.674416781361919 | 0.651166437276163 | 0.325583218638081 |
145 | 0.586104121587404 | 0.827791756825192 | 0.413895878412596 |
146 | 0.670704586498716 | 0.658590827002568 | 0.329295413501284 |
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 | 22 | 0.160583941605839 | NOK |
10% type I error level | 37 | 0.27007299270073 | NOK |