Multiple Linear Regression - Estimated Regression Equation |
aantalVrienden[t] = + 1.23744674639409 + 0.0963613878771712Popularity[t] -0.0644187764141667FindingFriends[t] + 0.128803686232339KnowingPeople[t] -0.0747737175493632Liked[t] + 0.0387444743481176`Celebrity `[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) | 1.23744674639409 | 0.952871 | 1.2987 | 0.196056 | 0.098028 |
Popularity | 0.0963613878771712 | 0.054404 | 1.7712 | 0.078554 | 0.039277 |
FindingFriends | -0.0644187764141667 | 0.064356 | -1.001 | 0.318451 | 0.159225 |
KnowingPeople | 0.128803686232339 | 0.043121 | 2.987 | 0.003291 | 0.001646 |
Liked | -0.0747737175493632 | 0.067234 | -1.1121 | 0.267856 | 0.133928 |
`Celebrity ` | 0.0387444743481176 | 0.109749 | 0.353 | 0.724563 | 0.362281 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.404565543716048 |
R-squared | 0.163673279162262 |
Adjusted R-squared | 0.135795721801004 |
F-TEST (value) | 5.8711485027638 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 150 |
p-value | 5.51936533799147e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.40758944238227 |
Sum Squared Residuals | 297.196205745903 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 2.60012739756854 | -0.600127397568545 |
2 | 1 | 1.87285161740772 | -0.872851617407716 |
3 | 0 | 2.62041140049695 | -2.62041140049695 |
4 | 3 | 2.05082245231536 | 0.94917754768464 |
5 | 3 | 2.21612120204511 | 0.783878797954886 |
6 | 1 | 1.74133270002851 | -0.741332700028511 |
7 | 3 | 2.87031132978131 | 0.129688670218689 |
8 | 1 | 2.08098147322383 | -1.08098147322383 |
9 | 4 | 2.53215554290427 | 1.46784445709573 |
10 | 0 | 2.16574591140021 | -2.16574591140021 |
11 | 3 | 3.22182191108718 | -0.221821911087177 |
12 | 2 | 2.27641948012504 | -0.276419480125044 |
13 | 4 | 3.40633148241083 | 0.593668517589166 |
14 | 3 | 1.81345111332413 | 1.18654888667587 |
15 | 1 | 1.55759346481799 | -0.557593464817993 |
16 | 1 | 2.53131162144285 | -1.53131162144285 |
17 | 2 | 2.18005809224787 | -0.180058092247873 |
18 | 3 | 2.84604229490263 | 0.153957705097374 |
19 | 1 | 1.87609432768454 | -0.87609432768454 |
20 | 1 | 1.85638381919847 | -0.856383819198472 |
21 | 2 | 1.72470944949636 | 0.275290550503643 |
22 | 3 | 2.92711818844494 | 0.0728818115550605 |
23 | 4 | 2.96685596221917 | 1.03314403778083 |
24 | 2 | 1.85485089192599 | 0.145149108074011 |
25 | 1 | 3.00594467113655 | -2.00594467113655 |
26 | 2 | 3.20001105524447 | -1.20001105524447 |
27 | 2 | 2.47775354741425 | -0.47775354741425 |
28 | 4 | 2.92493651078623 | 1.07506348921377 |
29 | 2 | 2.89926220872018 | -0.899262208720176 |
30 | 3 | 2.14477897701892 | 0.855221022981077 |
31 | 3 | 2.43317467151192 | 0.566825328488078 |
32 | 3 | 2.85200023632632 | 0.147999763673682 |
33 | 4 | 2.7663380241536 | 1.23366197584640 |
34 | 2 | 1.99542086083910 | 0.00457913916090297 |
35 | 2 | 2.08098147322383 | -0.0809814732238296 |
36 | 4 | 3.24234247443867 | 0.75765752556133 |
37 | 3 | 2.01965602912179 | 0.980343970878213 |
38 | 4 | 2.30131759392166 | 1.69868240607834 |
39 | 2 | 2.84519837344121 | -0.845198373441206 |
40 | 5 | 3.20631323123742 | 1.79368676876258 |
41 | 3 | 2.74833729867187 | 0.251662701328128 |
42 | 1 | 2.04083953798721 | -1.04083953798721 |
43 | 1 | 1.00235034187815 | -0.00235034187814842 |
44 | 1 | 1.84546145797912 | -0.845461457979123 |
45 | 2 | 1.95442719784219 | 0.0455728021578049 |
46 | 3 | 2.96944960763914 | 0.0305503923608648 |
47 | 9 | 3.24592941928475 | 5.75407058071525 |
48 | 0 | 1.46802786546773 | -1.46802786546773 |
49 | 0 | 2.16340097511973 | -2.16340097511973 |
50 | 2 | 2.81406581684363 | -0.814065816843627 |
51 | 2 | 1.33246225730448 | 0.667537742695522 |
52 | 3 | 2.57785733246040 | 0.422142667539595 |
53 | 1 | 2.31329264478771 | -1.31329264478771 |
54 | 2 | 1.44866159155092 | 0.551338408449084 |
55 | 0 | 2.64517404790959 | -2.64517404790959 |
56 | 5 | 2.71009251121592 | 2.28990748878408 |
57 | 2 | 2.52099054690365 | -0.520990546903648 |
58 | 4 | 3.29640630971764 | 0.70359369028236 |
59 | 3 | 1.54365135663480 | 1.45634864336520 |
60 | 0 | 3.09466634902540 | -3.09466634902540 |
61 | 0 | 1.38832944687499 | -1.38832944687499 |
62 | 4 | 3.25269741557387 | 0.747302584426133 |
63 | 1 | 3.78918946285777 | -2.78918946285777 |
64 | 1 | 2.98473510197399 | -1.98473510197399 |
65 | 4 | 1.59419012810339 | 2.40580987189661 |
66 | 2 | 2.70959282432375 | -0.709592824323754 |
67 | 4 | 2.7916342250544 | 1.20836577494560 |
68 | 1 | 1.91518303660192 | -0.915183036601915 |
69 | 4 | 2.84469868654904 | 1.15530131345096 |
70 | 2 | 1.03622592186039 | 0.963774078139615 |
71 | 5 | 2.99917667484743 | 2.00082332515257 |
72 | 4 | 2.61323143644658 | 1.38676856355342 |
73 | 4 | 2.15254634709237 | 1.84745365290763 |
74 | 4 | 2.67547460956024 | 1.32452539043976 |
75 | 4 | 2.55564838951352 | 1.44435161048648 |
76 | 3 | 2.81322189538221 | 0.186778104617794 |
77 | 3 | 2.65602867593695 | 0.343971324063053 |
78 | 3 | 2.77454515422608 | 0.225454845773921 |
79 | 2 | 1.95205620126458 | 0.0479437987354192 |
80 | 1 | 1.07038992973439 | -0.0703899297343883 |
81 | 1 | 1.29827023499077 | -0.29827023499077 |
82 | 5 | 3.20962367470624 | 1.79037632529376 |
83 | 4 | 2.58843492243795 | 1.41156507756205 |
84 | 2 | 2.27015117072809 | -0.270151170728089 |
85 | 3 | 1.58008671544100 | 1.41991328455900 |
86 | 2 | 2.43716577782039 | -0.437165777820387 |
87 | 2 | 1.83376290849034 | 0.166237091509656 |
88 | 2 | 2.43180912307684 | -0.431809123076842 |
89 | 2 | 3.06222405067023 | -1.06222405067023 |
90 | 3 | 1.90938054750113 | 1.09061945249887 |
91 | 2 | 2.20202386374093 | -0.202023863740933 |
92 | 3 | 2.27776308847863 | 0.722236911521373 |
93 | 4 | 3.14189445482326 | 0.858105545176742 |
94 | 3 | 3.35994729807439 | -0.359947298074392 |
95 | 3 | 2.39845517006826 | 0.601544829931735 |
96 | 0 | 1.79093180240399 | -1.79093180240399 |
97 | 1 | 1.33302967738863 | -0.333029677388631 |
98 | 2 | 1.44101580720438 | 0.558984192795617 |
99 | 2 | 2.65744001748252 | -0.65744001748252 |
100 | 3 | 2.39436853833002 | 0.605631461669977 |
101 | 4 | 3.33511691746976 | 0.664883082530237 |
102 | 4 | 3.08786448614028 | 0.912135513859718 |
103 | 1 | 2.76084590302608 | -1.76084590302608 |
104 | 2 | 1.44142777496563 | 0.558572225034369 |
105 | 2 | 0.823671051893065 | 1.17632894810694 |
106 | 3 | 2.15067525960883 | 0.849324740391165 |
107 | 3 | 2.02152711660532 | 0.97847288339468 |
108 | 3 | 2.99830496114822 | 0.00169503885177585 |
109 | 1 | 1.72158832494645 | -0.721588324946446 |
110 | 1 | 1.75001172475536 | -0.750011724755362 |
111 | 1 | 2.34576880973887 | -1.34576880973887 |
112 | 1 | 3.10964147538699 | -2.10964147538699 |
113 | 0 | 1.68643101764633 | -1.68643101764633 |
114 | 1 | 2.59878986357315 | -1.59878986357315 |
115 | 3 | 2.53031832201673 | 0.469681677983268 |
116 | 3 | 3.05950881952336 | -0.0595088195233563 |
117 | 0 | 2.99509004310919 | -2.99509004310919 |
118 | 2 | 1.59091355123058 | 0.409086448769424 |
119 | 5 | 2.93117095358719 | 2.06882904641281 |
120 | 2 | 2.68123715770683 | -0.681237157706828 |
121 | 3 | 2.34932188798896 | 0.650678112011044 |
122 | 3 | 3.2351963769843 | -0.235196376984300 |
123 | 5 | 1.71665777174678 | 3.28334222825322 |
124 | 4 | 2.77039078929585 | 1.22960921070415 |
125 | 4 | 3.12389372934153 | 0.876106270658472 |
126 | 0 | 1.54047052739368 | -1.54047052739368 |
127 | 3 | 2.9230315567067 | 0.0769684432933017 |
128 | 0 | 2.81322189538221 | -2.81322189538221 |
129 | 2 | 2.21699899010253 | -0.216998990102528 |
130 | 0 | 1.73624723117849 | -1.73624723117849 |
131 | 6 | 2.9230315567067 | 3.0769684432933 |
132 | 3 | 2.78031377673087 | 0.219686223269129 |
133 | 1 | 1.41706321465717 | -0.41706321465717 |
134 | 6 | 2.18040232681713 | 3.81959767318287 |
135 | 2 | 2.76992496899968 | -0.76992496899968 |
136 | 1 | 1.96291082929194 | -0.96291082929194 |
137 | 3 | 2.99558973000135 | 0.00441026999864769 |
138 | 1 | 2.03234787803668 | -1.03234787803668 |
139 | 2 | 3.33820417542368 | -1.33820417542368 |
140 | 4 | 2.69973757008072 | 1.30026242991928 |
141 | 1 | 2.92895540933248 | -1.92895540933248 |
142 | 2 | 2.70600587947768 | -0.706005879477676 |
143 | 0 | 2.67169227143706 | -2.67169227143706 |
144 | 5 | 2.35852253968947 | 2.64147746031053 |
145 | 2 | 2.09171451552428 | -0.0917145155242786 |
146 | 1 | 1.13923979465797 | -0.139239794657973 |
147 | 1 | 1.41263234834967 | -0.412632348349671 |
148 | 4 | 2.27769535528664 | 1.72230464471336 |
149 | 3 | 3.22075480411086 | -0.220754804110862 |
150 | 0 | 2.74019790179138 | -2.74019790179138 |
151 | 3 | 2.62633547532465 | 0.373664524675354 |
152 | 3 | 3.01309076859092 | -0.0130907685909193 |
153 | 0 | 1.81301915962396 | -1.81301915962396 |
154 | 2 | 2.59882373016914 | -0.598823730169140 |
155 | 5 | 3.01633347886774 | 1.98366652113226 |
156 | 2 | 2.13267431192519 | -0.132674311925186 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.823424077388543 | 0.353151845222913 | 0.176575922611457 |
10 | 0.779558805018398 | 0.440882389963204 | 0.220441194981602 |
11 | 0.669069552909064 | 0.661860894181873 | 0.330930447090936 |
12 | 0.567046412813674 | 0.865907174372652 | 0.432953587186326 |
13 | 0.479019865716255 | 0.95803973143251 | 0.520980134283745 |
14 | 0.374756154570611 | 0.749512309141222 | 0.625243845429389 |
15 | 0.287705019789696 | 0.575410039579392 | 0.712294980210304 |
16 | 0.346736042703464 | 0.693472085406929 | 0.653263957296536 |
17 | 0.27095320817101 | 0.54190641634202 | 0.72904679182899 |
18 | 0.206173982555963 | 0.412347965111926 | 0.793826017444037 |
19 | 0.151127594575210 | 0.302255189150421 | 0.84887240542479 |
20 | 0.111174452398303 | 0.222348904796607 | 0.888825547601697 |
21 | 0.120511046024351 | 0.241022092048702 | 0.87948895397565 |
22 | 0.086682972595214 | 0.173365945190428 | 0.913317027404786 |
23 | 0.0721858795610002 | 0.144371759122000 | 0.927814120439 |
24 | 0.0566115656029318 | 0.113223131205864 | 0.943388434397068 |
25 | 0.0922420831151372 | 0.184484166230274 | 0.907757916884863 |
26 | 0.0790147212447404 | 0.158029442489481 | 0.92098527875526 |
27 | 0.0608405245197584 | 0.121681049039517 | 0.939159475480242 |
28 | 0.070161026251631 | 0.140322052503262 | 0.929838973748369 |
29 | 0.0530431082628118 | 0.106086216525624 | 0.946956891737188 |
30 | 0.0566770340867932 | 0.113354068173586 | 0.943322965913207 |
31 | 0.0482350841547162 | 0.0964701683094325 | 0.951764915845284 |
32 | 0.0354339088985067 | 0.0708678177970135 | 0.964566091101493 |
33 | 0.0383616078256309 | 0.0767232156512617 | 0.961638392174369 |
34 | 0.0279949412641024 | 0.0559898825282048 | 0.972005058735898 |
35 | 0.0191843314270802 | 0.0383686628541603 | 0.98081566857292 |
36 | 0.0151572131955214 | 0.0303144263910428 | 0.984842786804479 |
37 | 0.0139171902508264 | 0.0278343805016528 | 0.986082809749174 |
38 | 0.0226754715010825 | 0.0453509430021651 | 0.977324528498917 |
39 | 0.018269702396486 | 0.036539404792972 | 0.981730297603514 |
40 | 0.0249505061453837 | 0.0499010122907675 | 0.975049493854616 |
41 | 0.0176349038050622 | 0.0352698076101244 | 0.982365096194938 |
42 | 0.0143428749163864 | 0.0286857498327729 | 0.985657125083613 |
43 | 0.00989061470398532 | 0.0197812294079706 | 0.990109385296015 |
44 | 0.00750662762500499 | 0.01501325525001 | 0.992493372374995 |
45 | 0.00503272134329713 | 0.0100654426865943 | 0.994967278656703 |
46 | 0.00331425660317317 | 0.00662851320634633 | 0.996685743396827 |
47 | 0.280093398649187 | 0.560186797298373 | 0.719906601350813 |
48 | 0.273114327912538 | 0.546228655825076 | 0.726885672087462 |
49 | 0.319013743287547 | 0.638027486575095 | 0.680986256712453 |
50 | 0.294867926711249 | 0.589735853422498 | 0.705132073288751 |
51 | 0.279753925315252 | 0.559507850630504 | 0.720246074684748 |
52 | 0.250741173073287 | 0.501482346146573 | 0.749258826926713 |
53 | 0.244573689296539 | 0.489147378593079 | 0.75542631070346 |
54 | 0.224077669703087 | 0.448155339406175 | 0.775922330296913 |
55 | 0.343198277551388 | 0.686396555102776 | 0.656801722448612 |
56 | 0.416253738484122 | 0.832507476968243 | 0.583746261515878 |
57 | 0.374167660864889 | 0.748335321729778 | 0.625832339135111 |
58 | 0.336326506580966 | 0.672653013161932 | 0.663673493419034 |
59 | 0.347413974149647 | 0.694827948299293 | 0.652586025850353 |
60 | 0.529018510972793 | 0.941962978054415 | 0.470981489027207 |
61 | 0.522215471612316 | 0.955569056775368 | 0.477784528387684 |
62 | 0.484477390212855 | 0.96895478042571 | 0.515522609787145 |
63 | 0.627223491327932 | 0.745553017344137 | 0.372776508672069 |
64 | 0.670699094655675 | 0.658601810688651 | 0.329300905344325 |
65 | 0.749808671404105 | 0.50038265719179 | 0.250191328595895 |
66 | 0.719285445424593 | 0.561429109150813 | 0.280714554575407 |
67 | 0.711884075423549 | 0.576231849152901 | 0.288115924576451 |
68 | 0.68582266017054 | 0.62835467965892 | 0.31417733982946 |
69 | 0.672605347562828 | 0.654789304874344 | 0.327394652437172 |
70 | 0.652446805704855 | 0.69510638859029 | 0.347553194295145 |
71 | 0.692800845612182 | 0.614398308775636 | 0.307199154387818 |
72 | 0.689479521064806 | 0.621040957870388 | 0.310520478935194 |
73 | 0.715517903080208 | 0.568964193839583 | 0.284482096919792 |
74 | 0.710891207035444 | 0.578217585929111 | 0.289108792964556 |
75 | 0.712123738296976 | 0.575752523406049 | 0.287876261703024 |
76 | 0.671119268069892 | 0.657761463860216 | 0.328880731930108 |
77 | 0.62938014031476 | 0.74123971937048 | 0.37061985968524 |
78 | 0.586462835193943 | 0.827074329612115 | 0.413537164806057 |
79 | 0.540412461109037 | 0.919175077781926 | 0.459587538890963 |
80 | 0.493609007191321 | 0.987218014382643 | 0.506390992808679 |
81 | 0.449623048546083 | 0.899246097092166 | 0.550376951453917 |
82 | 0.496750877399050 | 0.993501754798101 | 0.503249122600950 |
83 | 0.499881960301622 | 0.999763920603244 | 0.500118039698378 |
84 | 0.454013042751727 | 0.908026085503454 | 0.545986957248273 |
85 | 0.458831424595288 | 0.917662849190577 | 0.541168575404712 |
86 | 0.42048946558042 | 0.84097893116084 | 0.57951053441958 |
87 | 0.375106016383693 | 0.750212032767387 | 0.624893983616307 |
88 | 0.339815312583316 | 0.679630625166632 | 0.660184687416684 |
89 | 0.317605270795698 | 0.635210541591395 | 0.682394729204302 |
90 | 0.301375532035861 | 0.602751064071723 | 0.698624467964139 |
91 | 0.262190976640837 | 0.524381953281673 | 0.737809023359163 |
92 | 0.231925335330222 | 0.463850670660444 | 0.768074664669778 |
93 | 0.210134637498360 | 0.420269274996721 | 0.78986536250164 |
94 | 0.178699460247986 | 0.357398920495971 | 0.821300539752014 |
95 | 0.154962215358259 | 0.309924430716517 | 0.845037784641741 |
96 | 0.174949130576766 | 0.349898261153532 | 0.825050869423234 |
97 | 0.145879452836730 | 0.291758905673460 | 0.85412054716327 |
98 | 0.121770155316752 | 0.243540310633503 | 0.878229844683248 |
99 | 0.102914811691459 | 0.205829623382919 | 0.89708518830854 |
100 | 0.085618208759545 | 0.17123641751909 | 0.914381791240455 |
101 | 0.0739969623266601 | 0.147993924653320 | 0.92600303767334 |
102 | 0.0653874844420825 | 0.130774968884165 | 0.934612515557917 |
103 | 0.0784162067591467 | 0.156832413518293 | 0.921583793240853 |
104 | 0.0711355937313735 | 0.142271187462747 | 0.928864406268627 |
105 | 0.0672666472245792 | 0.134533294449158 | 0.93273335277542 |
106 | 0.0562074949918657 | 0.112414989983731 | 0.943792505008134 |
107 | 0.05300553960122 | 0.10601107920244 | 0.94699446039878 |
108 | 0.0407642727190769 | 0.0815285454381539 | 0.959235727280923 |
109 | 0.0323700866819935 | 0.0647401733639869 | 0.967629913318007 |
110 | 0.0263692788287341 | 0.0527385576574681 | 0.973630721171266 |
111 | 0.0230768076688220 | 0.0461536153376441 | 0.976923192331178 |
112 | 0.0300107363081931 | 0.0600214726163862 | 0.969989263691807 |
113 | 0.0325355142536972 | 0.0650710285073944 | 0.967464485746303 |
114 | 0.0344331900406653 | 0.0688663800813306 | 0.965566809959335 |
115 | 0.0261456833140087 | 0.0522913666280173 | 0.97385431668599 |
116 | 0.0193072405001016 | 0.0386144810002033 | 0.980692759499898 |
117 | 0.0454427284426175 | 0.0908854568852351 | 0.954557271557382 |
118 | 0.0345139106609013 | 0.0690278213218026 | 0.965486089339099 |
119 | 0.0417655369171298 | 0.0835310738342597 | 0.95823446308287 |
120 | 0.0317078346309632 | 0.0634156692619263 | 0.968292165369037 |
121 | 0.0253882623695584 | 0.0507765247391168 | 0.974611737630442 |
122 | 0.0181572412929428 | 0.0363144825858856 | 0.981842758707057 |
123 | 0.0688480718455644 | 0.137696143691129 | 0.931151928154436 |
124 | 0.058103616706906 | 0.116207233413812 | 0.941896383293094 |
125 | 0.048101331393813 | 0.096202662787626 | 0.951898668606187 |
126 | 0.0433184624238062 | 0.0866369248476124 | 0.956681537576194 |
127 | 0.0314250609684691 | 0.0628501219369382 | 0.96857493903153 |
128 | 0.0871117733525593 | 0.174223546705119 | 0.91288822664744 |
129 | 0.071738838786184 | 0.143477677572368 | 0.928261161213816 |
130 | 0.100757277121648 | 0.201514554243295 | 0.899242722878352 |
131 | 0.220658046981573 | 0.441316093963146 | 0.779341953018427 |
132 | 0.176006552745457 | 0.352013105490913 | 0.823993447254543 |
133 | 0.144433056744624 | 0.288866113489247 | 0.855566943255377 |
134 | 0.648128139348192 | 0.703743721303616 | 0.351871860651808 |
135 | 0.578449798343733 | 0.843100403312533 | 0.421550201656267 |
136 | 0.504323713130948 | 0.991352573738104 | 0.495676286869052 |
137 | 0.423922180417731 | 0.847844360835462 | 0.576077819582269 |
138 | 0.454673154362546 | 0.909346308725093 | 0.545326845637454 |
139 | 0.377477668616922 | 0.754955337233844 | 0.622522331383078 |
140 | 0.438541786088808 | 0.877083572177616 | 0.561458213911192 |
141 | 0.582436238778361 | 0.835127522443278 | 0.417563761221639 |
142 | 0.522075426310623 | 0.955849147378754 | 0.477924573689377 |
143 | 0.605257612551543 | 0.789484774896915 | 0.394742387448458 |
144 | 0.504689182743459 | 0.990621634513082 | 0.495310817256541 |
145 | 0.378941510294071 | 0.757883020588142 | 0.621058489705929 |
146 | 0.43291719183645 | 0.8658343836729 | 0.56708280816355 |
147 | 0.339734261822437 | 0.679468523644874 | 0.660265738177563 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 1 | 0.00719424460431655 | OK |
5% type I error level | 15 | 0.107913669064748 | NOK |
10% type I error level | 34 | 0.244604316546763 | NOK |