Multiple Linear Regression - Estimated Regression Equation |
Popularity[t] = + 0.958098198311375 + 0.497466363851451Friends[t] -0.131819434513708Known[t] + 0.303489208454995Nfriends[t] -0.0335165464291636Before[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) | 0.958098198311375 | 0.327385 | 2.9265 | 0.003958 | 0.001979 |
Friends | 0.497466363851451 | 0.059428 | 8.3709 | 0 | 0 |
Known | -0.131819434513708 | 0.046904 | -2.8104 | 0.005604 | 0.002802 |
Nfriends | 0.303489208454995 | 0.064511 | 4.7044 | 6e-06 | 3e-06 |
Before | -0.0335165464291636 | 0.062163 | -0.5392 | 0.590564 | 0.295282 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.70337646006034 |
R-squared | 0.494738444567015 |
Adjusted R-squared | 0.481354032502565 |
F-TEST (value) | 36.9637786243207 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 151 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.563332541287094 |
Sum Squared Residuals | 47.9188763630193 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3 | 2.36261523657507 | 0.637384763424932 |
2 | 3 | 2.65977065203165 | 0.340229347968354 |
3 | 4 | 3.76421543279309 | 0.235784567206915 |
4 | 3 | 2.9967764069158 | 0.00322359308419623 |
5 | 3 | 2.46579349663519 | 0.534206503364812 |
6 | 3 | 2.35628144357665 | 0.64371855642335 |
7 | 3 | 3.36875712925196 | -0.36875712925196 |
8 | 2 | 1.89866541915278 | 0.101334580847222 |
9 | 3 | 2.39613178300423 | 0.603868216995772 |
10 | 3 | 3.22427010874142 | -0.224270108741423 |
11 | 3 | 3.10365983920171 | -0.103659839201708 |
12 | 3 | 2.96325986048664 | 0.0367401395133602 |
13 | 3 | 3.23060390173984 | -0.230603901739837 |
14 | 2 | 1.86514887272361 | 0.134851127276386 |
15 | 3 | 2.56409638471973 | 0.435903615280266 |
16 | 3 | 2.36261523657506 | 0.637384763424935 |
17 | 2 | 2.30045751569232 | -0.300457515692317 |
18 | 3 | 3.23060390173984 | -0.230603901739837 |
19 | 2 | 2.29412372269390 | -0.294123722693903 |
20 | 1 | 1.69835447075791 | -0.698354470757908 |
21 | 2 | 2.52161742451952 | -0.521617424519523 |
22 | 3 | 3.53409311019483 | -0.534093110194832 |
23 | 3 | 2.20215462760777 | 0.797845372392228 |
24 | 3 | 2.79159008654535 | 0.208409913454647 |
25 | 3 | 2.69962099145922 | 0.300379008540777 |
26 | 3 | 3.06526792079697 | -0.0652679207969651 |
27 | 2 | 3.00311019991422 | -1.00311019991422 |
28 | 3 | 2.73313753788839 | 0.266862462111613 |
29 | 3 | 3.23060390173984 | -0.230603901739837 |
30 | 4 | 3.15723701588310 | 0.842762984116904 |
31 | 3 | 3.15723701588310 | -0.157237015883096 |
32 | 3 | 3.03662674634338 | -0.0366267463433812 |
33 | 3 | 3.50057656376567 | -0.500576563765668 |
34 | 3 | 2.65977065203165 | 0.340229347968355 |
35 | 2 | 2.03048485366649 | -0.0304848536664862 |
36 | 3 | 3.19708735531067 | -0.197087355310674 |
37 | 3 | 2.83144042597293 | 0.168559574027069 |
38 | 3 | 2.53282658949352 | 0.467173410506484 |
39 | 3 | 3.19708735531067 | -0.197087355310674 |
40 | 4 | 3.53409311019483 | 0.465906889805168 |
41 | 3 | 3.32890678982438 | -0.328906789824382 |
42 | 3 | 3.01908378837097 | -0.0190837883709731 |
43 | 1 | 2.12878774175103 | -1.12878774175103 |
44 | 2 | 1.89866541915278 | 0.101334580847222 |
45 | 3 | 2.96325986048664 | 0.0367401395133602 |
46 | 4 | 3.66591254470854 | 0.33408745529146 |
47 | 4 | 3.72807026559129 | 0.271929734408712 |
48 | 2 | 2.26060717626474 | -0.260607176264739 |
49 | 1 | 2.52795121751794 | -1.52795121751794 |
50 | 3 | 2.69962099145922 | 0.300379008540777 |
51 | 3 | 2.5976129311489 | 0.402387068851102 |
52 | 1 | 2.50564383606277 | -1.50564383606277 |
53 | 3 | 2.83144042597293 | 0.168559574027069 |
54 | 2 | 2.29412372269390 | -0.294123722693903 |
55 | 3 | 3.28905645039680 | -0.289056450396804 |
56 | 3 | 2.39613178300423 | 0.603868216995772 |
57 | 2 | 2.42964832943339 | -0.429648329433392 |
58 | 4 | 3.23060390173984 | 0.769396098260163 |
59 | 1 | 1.32783216944459 | -0.327832169444586 |
60 | 3 | 3.83758231864983 | -0.837582318649827 |
61 | 2 | 2.16230428818019 | -0.162304288180195 |
62 | 4 | 3.19708735531067 | 0.802912644689326 |
63 | 3 | 3.40227367568112 | -0.402273675681123 |
64 | 4 | 3.63239599827938 | 0.367604001720624 |
65 | 3 | 2.19582083460936 | 0.804179165390642 |
66 | 3 | 3.19708735531067 | -0.197087355310674 |
67 | 3 | 2.20215462760777 | 0.797845372392228 |
68 | 3 | 3.46072622433809 | -0.46072622433809 |
69 | 3 | 3.32890678982438 | -0.328906789824382 |
70 | 1 | 1.45965160395829 | -0.459651603958294 |
71 | 3 | 3.19708735531067 | -0.197087355310674 |
72 | 3 | 3.19708735531067 | -0.197087355310674 |
73 | 3 | 2.69962099145922 | 0.300379008540777 |
74 | 2 | 3.07014329277254 | -1.07014329277254 |
75 | 3 | 2.86495697240210 | 0.135043027597905 |
76 | 3 | 3.00311019991422 | -0.00311019991421758 |
77 | 3 | 2.83144042597293 | 0.168559574027069 |
78 | 2 | 2.86495697240210 | -0.864956972402095 |
79 | 3 | 3.15723701588310 | -0.157237015883096 |
80 | 2 | 1.49316815038746 | 0.506831849612542 |
81 | 2 | 2.65977065203165 | -0.659770652031645 |
82 | 3 | 3.23060390173984 | -0.230603901739837 |
83 | 3 | 2.83144042597293 | 0.168559574027069 |
84 | 2 | 2.26431234849052 | -0.26431234849052 |
85 | 2 | 3.25553990396764 | -1.25553990396764 |
86 | 3 | 2.83144042597293 | 0.168559574027069 |
87 | 2 | 2.12878774175103 | -0.128787741751031 |
88 | 3 | 2.86495697240210 | 0.135043027597905 |
89 | 4 | 3.53409311019483 | 0.465906889805168 |
90 | 2 | 2.52795121751794 | -0.527951217517937 |
91 | 3 | 3.32890678982438 | -0.328906789824382 |
92 | 2 | 2.69962099145922 | -0.699620991459223 |
93 | 4 | 3.50057656376567 | 0.499423436234332 |
94 | 3 | 3.23060390173984 | -0.230603901739837 |
95 | 3 | 2.65977065203165 | 0.340229347968355 |
96 | 3 | 2.16230428818019 | 0.837695711819805 |
97 | 3 | 2.16717966015577 | 0.832820339844226 |
98 | 2 | 2.26060717626474 | -0.260607176264739 |
99 | 3 | 2.2691877204661 | 0.7308122795339 |
100 | 4 | 2.96325986048664 | 1.03674013951336 |
101 | 4 | 3.53409311019483 | 0.465906889805168 |
102 | 4 | 3.63239599827938 | 0.367604001720624 |
103 | 3 | 2.53428501051635 | 0.465714989483649 |
104 | 3 | 2.55513397094869 | 0.444866029051314 |
105 | 1 | 1.52668469681662 | -0.526684696816621 |
106 | 4 | 3.23323252251247 | 0.76676747748753 |
107 | 1 | 2.39613178300423 | -1.39613178300423 |
108 | 3 | 3.53409311019483 | -0.534093110194832 |
109 | 2 | 2.06400140009565 | -0.0640014000956498 |
110 | 2 | 1.93218196558194 | 0.0678180344180585 |
111 | 3 | 2.73313753788839 | 0.266862462111613 |
112 | 3 | 2.90480731182967 | 0.095192688170327 |
113 | 2 | 3.09507929500035 | -1.09507929500035 |
114 | 3 | 3.19708735531067 | -0.197087355310674 |
115 | 3 | 3.50057656376567 | -0.500576563765668 |
116 | 4 | 2.86008160042652 | 1.13991839957348 |
117 | 4 | 3.46072622433809 | 0.53927377566191 |
118 | 3 | 2.46579349663519 | 0.534206503364811 |
119 | 3 | 2.69962099145922 | 0.300379008540777 |
120 | 3 | 3.02541758136939 | -0.0254175813693874 |
121 | 3 | 2.52795121751794 | 0.472048782482063 |
122 | 3 | 2.92711469328484 | 0.0728853067151573 |
123 | 1 | 2.16230428818019 | -1.16230428818019 |
124 | 2 | 3.46706001733650 | -1.46706001733650 |
125 | 4 | 3.19708735531067 | 0.802912644689326 |
126 | 3 | 2.79159008654535 | 0.208409913454647 |
127 | 4 | 3.50057656376567 | 0.499423436234332 |
128 | 3 | 2.69962099145922 | 0.300379008540777 |
129 | 2 | 2.59498431037626 | -0.594984310376264 |
130 | 1 | 1.49316815038746 | -0.493168150387458 |
131 | 4 | 3.50057656376567 | 0.499423436234332 |
132 | 3 | 3.36242333625355 | -0.362423336253546 |
133 | 3 | 2.16230428818019 | 0.837695711819805 |
134 | 3 | 2.49443467108877 | 0.505565328911227 |
135 | 4 | 3.19708735531067 | 0.802912644689326 |
136 | 3 | 2.65977065203165 | 0.340229347968355 |
137 | 3 | 3.23060390173984 | -0.230603901739837 |
138 | 1 | 1.89866541915278 | -0.898665419152778 |
139 | 4 | 3.82637315367583 | 0.173626846324168 |
140 | 2 | 2.69962099145922 | -0.699620991459223 |
141 | 2 | 2.89359814685568 | -0.89359814685568 |
142 | 3 | 2.69962099145922 | 0.300379008540777 |
143 | 3 | 2.89359814685568 | 0.106401853144321 |
144 | 2 | 2.03048485366649 | -0.0304848536664862 |
145 | 3 | 2.52795121751794 | 0.472048782482063 |
146 | 3 | 3.06156274857118 | -0.0615627485711845 |
147 | 2 | 2.16230428818019 | -0.162304288180195 |
148 | 2 | 2.66610444503006 | -0.666104445030059 |
149 | 3 | 3.23060390173984 | -0.230603901739837 |
150 | 4 | 3.63239599827938 | 0.367604001720624 |
151 | 4 | 3.16844618085709 | 0.83155381914291 |
152 | 4 | 3.50057656376567 | 0.499423436234332 |
153 | 2 | 2.03048485366649 | -0.0304848536664862 |
154 | 3 | 3.23060390173984 | -0.230603901739837 |
155 | 3 | 3.23060390173984 | -0.230603901739837 |
156 | 3 | 2.09264257454923 | 0.907357425450766 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.0130345641773373 | 0.0260691283546747 | 0.986965435822663 |
9 | 0.0511455987174925 | 0.102291197434985 | 0.948854401282508 |
10 | 0.0181952465942219 | 0.0363904931884438 | 0.981804753405778 |
11 | 0.0418584506914566 | 0.0837169013829133 | 0.958141549308543 |
12 | 0.0267434372452707 | 0.0534868744905414 | 0.97325656275473 |
13 | 0.0126915348669953 | 0.0253830697339907 | 0.987308465133005 |
14 | 0.0118779676398048 | 0.0237559352796096 | 0.988122032360195 |
15 | 0.0056184730760953 | 0.0112369461521906 | 0.994381526923905 |
16 | 0.00385138810622494 | 0.00770277621244988 | 0.996148611893775 |
17 | 0.0105001230074836 | 0.0210002460149673 | 0.989499876992516 |
18 | 0.00597221991731835 | 0.0119444398346367 | 0.994027780082682 |
19 | 0.0131755992924072 | 0.0263511985848143 | 0.986824400707593 |
20 | 0.0219538412285344 | 0.0439076824570688 | 0.978046158771466 |
21 | 0.0315872447784621 | 0.0631744895569241 | 0.968412755221538 |
22 | 0.0299623331868863 | 0.0599246663737727 | 0.970037666813114 |
23 | 0.0543582667613231 | 0.108716533522646 | 0.945641733238677 |
24 | 0.0369105692914719 | 0.0738211385829437 | 0.963089430708528 |
25 | 0.0252796233103352 | 0.0505592466206703 | 0.974720376689665 |
26 | 0.0183354495334467 | 0.0366708990668935 | 0.981664550466553 |
27 | 0.0631720560470741 | 0.126344112094148 | 0.936827943952926 |
28 | 0.053787975641766 | 0.107575951283532 | 0.946212024358234 |
29 | 0.0388934611019506 | 0.0777869222039013 | 0.96110653889805 |
30 | 0.0488691777188672 | 0.0977383554377343 | 0.951130822281133 |
31 | 0.0424135748192401 | 0.0848271496384801 | 0.95758642518076 |
32 | 0.0314091696571541 | 0.0628183393143083 | 0.968590830342846 |
33 | 0.0295596986852998 | 0.0591193973705995 | 0.9704403013147 |
34 | 0.0216279477892319 | 0.0432558955784639 | 0.978372052210768 |
35 | 0.0155908746072287 | 0.0311817492144574 | 0.984409125392771 |
36 | 0.0116691826435618 | 0.0233383652871236 | 0.988330817356438 |
37 | 0.00798592720306734 | 0.0159718544061347 | 0.992014072796933 |
38 | 0.0112663578019954 | 0.0225327156039909 | 0.988733642198005 |
39 | 0.00807309530779549 | 0.0161461906155910 | 0.991926904692205 |
40 | 0.0104343776014087 | 0.0208687552028173 | 0.989565622398591 |
41 | 0.00853496459356752 | 0.0170699291871350 | 0.991465035406432 |
42 | 0.00585783486999089 | 0.0117156697399818 | 0.994142165130009 |
43 | 0.0391553314178993 | 0.0783106628357987 | 0.9608446685821 |
44 | 0.0288556076751749 | 0.0577112153503499 | 0.971144392324825 |
45 | 0.0209036815831272 | 0.0418073631662545 | 0.979096318416873 |
46 | 0.0188545259450987 | 0.0377090518901973 | 0.981145474054901 |
47 | 0.0146138797390726 | 0.0292277594781452 | 0.985386120260927 |
48 | 0.0117102849300912 | 0.0234205698601824 | 0.98828971506991 |
49 | 0.104062058418541 | 0.208124116837081 | 0.89593794158146 |
50 | 0.0882930218951066 | 0.176586043790213 | 0.911706978104893 |
51 | 0.0798359871953379 | 0.159671974390676 | 0.920164012804662 |
52 | 0.252164377405133 | 0.504328754810266 | 0.747835622594867 |
53 | 0.217616979056440 | 0.435233958112881 | 0.78238302094356 |
54 | 0.191746828073266 | 0.383493656146532 | 0.808253171926734 |
55 | 0.171225062454845 | 0.342450124909690 | 0.828774937545155 |
56 | 0.172769888345656 | 0.345539776691312 | 0.827230111654344 |
57 | 0.161665021301576 | 0.323330042603151 | 0.838334978698424 |
58 | 0.190451085913222 | 0.380902171826443 | 0.809548914086778 |
59 | 0.169398223363954 | 0.338796446727907 | 0.830601776636046 |
60 | 0.200139060608901 | 0.400278121217801 | 0.7998609393911 |
61 | 0.169851493376705 | 0.33970298675341 | 0.830148506623295 |
62 | 0.201095276254838 | 0.402190552509675 | 0.798904723745162 |
63 | 0.183991177239672 | 0.367982354479343 | 0.816008822760328 |
64 | 0.167899639711387 | 0.335799279422775 | 0.832100360288613 |
65 | 0.207331483651165 | 0.414662967302329 | 0.792668516348835 |
66 | 0.179400171646909 | 0.358800343293817 | 0.820599828353092 |
67 | 0.215769514301506 | 0.431539028603012 | 0.784230485698494 |
68 | 0.203368503082949 | 0.406737006165898 | 0.796631496917051 |
69 | 0.181614115942875 | 0.363228231885751 | 0.818385884057125 |
70 | 0.172515711659917 | 0.345031423319834 | 0.827484288340083 |
71 | 0.147466147000028 | 0.294932294000056 | 0.852533852999972 |
72 | 0.124879659099005 | 0.24975931819801 | 0.875120340900995 |
73 | 0.108233074959875 | 0.216466149919749 | 0.891766925040125 |
74 | 0.17632247628762 | 0.35264495257524 | 0.82367752371238 |
75 | 0.149843958105749 | 0.299687916211497 | 0.850156041894251 |
76 | 0.125937295533086 | 0.251874591066171 | 0.874062704466914 |
77 | 0.105316787815026 | 0.210633575630053 | 0.894683212184973 |
78 | 0.139200936405623 | 0.278401872811246 | 0.860799063594377 |
79 | 0.117064502375354 | 0.234129004750708 | 0.882935497624646 |
80 | 0.113333838586868 | 0.226667677173736 | 0.886666161413132 |
81 | 0.121577367121563 | 0.243154734243125 | 0.878422632878437 |
82 | 0.103619552760358 | 0.207239105520716 | 0.896380447239642 |
83 | 0.0858299206140278 | 0.171659841228056 | 0.914170079385972 |
84 | 0.0731915726662953 | 0.146383145332591 | 0.926808427333705 |
85 | 0.156862934671143 | 0.313725869342285 | 0.843137065328857 |
86 | 0.132905444127504 | 0.265810888255007 | 0.867094555872496 |
87 | 0.110116414554418 | 0.220232829108837 | 0.889883585445582 |
88 | 0.0908035804795388 | 0.181607160959078 | 0.90919641952046 |
89 | 0.0844839207359597 | 0.168967841471919 | 0.91551607926404 |
90 | 0.0821671620517223 | 0.164334324103445 | 0.917832837948278 |
91 | 0.0718542641570665 | 0.143708528314133 | 0.928145735842933 |
92 | 0.0809217612050825 | 0.161843522410165 | 0.919078238794917 |
93 | 0.0766484672768176 | 0.153296934553635 | 0.923351532723182 |
94 | 0.0640949806455766 | 0.128189961291153 | 0.935905019354423 |
95 | 0.0545866849004882 | 0.109173369800976 | 0.945413315099512 |
96 | 0.0705038145260872 | 0.141007629052174 | 0.929496185473913 |
97 | 0.0852199126460257 | 0.170439825292051 | 0.914780087353974 |
98 | 0.0711067054598074 | 0.142213410919615 | 0.928893294540193 |
99 | 0.084662125288868 | 0.169324250577736 | 0.915337874711132 |
100 | 0.132673581684995 | 0.26534716336999 | 0.867326418315005 |
101 | 0.124064700191129 | 0.248129400382258 | 0.87593529980887 |
102 | 0.109397177623049 | 0.218794355246097 | 0.890602822376951 |
103 | 0.102099755370371 | 0.204199510740743 | 0.897900244629628 |
104 | 0.094497329875615 | 0.18899465975123 | 0.905502670124385 |
105 | 0.0874684581904226 | 0.174936916380845 | 0.912531541809577 |
106 | 0.100980966338088 | 0.201961932676176 | 0.899019033661912 |
107 | 0.255149349050986 | 0.510298698101972 | 0.744850650949014 |
108 | 0.246252488092018 | 0.492504976184036 | 0.753747511907982 |
109 | 0.208046907186204 | 0.416093814372408 | 0.791953092813796 |
110 | 0.174733339724503 | 0.349466679449006 | 0.825266660275497 |
111 | 0.151967291057837 | 0.303934582115673 | 0.848032708942163 |
112 | 0.126830773926791 | 0.253661547853582 | 0.873169226073209 |
113 | 0.218430201508319 | 0.436860403016637 | 0.781569798491681 |
114 | 0.188610508393755 | 0.377221016787511 | 0.811389491606245 |
115 | 0.185346674123028 | 0.370693348246055 | 0.814653325876972 |
116 | 0.278854387363616 | 0.557708774727233 | 0.721145612636384 |
117 | 0.255448639213784 | 0.510897278427567 | 0.744551360786216 |
118 | 0.248447117609912 | 0.496894235219824 | 0.751552882390088 |
119 | 0.220344057660368 | 0.440688115320737 | 0.779655942339632 |
120 | 0.183137395980538 | 0.366274791961077 | 0.816862604019462 |
121 | 0.170282485354689 | 0.340564970709378 | 0.829717514645311 |
122 | 0.136673116004531 | 0.273346232009062 | 0.863326883995469 |
123 | 0.240670222069715 | 0.48134044413943 | 0.759329777930285 |
124 | 0.661402894116437 | 0.677194211767126 | 0.338597105883563 |
125 | 0.692017043530283 | 0.615965912939433 | 0.307982956469717 |
126 | 0.636082656856576 | 0.727834686286848 | 0.363917343143424 |
127 | 0.595702039689826 | 0.808595920620347 | 0.404297960310174 |
128 | 0.548858117692151 | 0.902283764615697 | 0.451141882307849 |
129 | 0.521270584223325 | 0.95745883155335 | 0.478729415776675 |
130 | 0.524303716790688 | 0.951392566418623 | 0.475696283209312 |
131 | 0.504860348542961 | 0.990279302914077 | 0.495139651457038 |
132 | 0.503771329173895 | 0.99245734165221 | 0.496228670826105 |
133 | 0.532008497688945 | 0.93598300462211 | 0.467991502311055 |
134 | 0.525040244192402 | 0.949919511615196 | 0.474959755807598 |
135 | 0.626912695534294 | 0.746174608931413 | 0.373087304465706 |
136 | 0.556831111729454 | 0.886337776541092 | 0.443168888270546 |
137 | 0.502124426389272 | 0.995751147221456 | 0.497875573610728 |
138 | 0.556665576696273 | 0.886668846607454 | 0.443334423303727 |
139 | 0.479477560303249 | 0.958955120606499 | 0.520522439696751 |
140 | 0.52930781912552 | 0.94138436174896 | 0.47069218087448 |
141 | 0.65523197694526 | 0.68953604610948 | 0.34476802305474 |
142 | 0.578544245704204 | 0.842911508591592 | 0.421455754295796 |
143 | 0.474561586421573 | 0.949123172843147 | 0.525438413578427 |
144 | 0.373298829128348 | 0.746597658256696 | 0.626701170871652 |
145 | 0.307731591341489 | 0.615463182682978 | 0.692268408658511 |
146 | 0.211731891571751 | 0.423463783143501 | 0.78826810842825 |
147 | 0.20825812868739 | 0.41651625737478 | 0.79174187131261 |
148 | 0.294657157979445 | 0.589314315958891 | 0.705342842020555 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 1 | 0.00709219858156028 | OK |
5% type I error level | 24 | 0.170212765957447 | NOK |
10% type I error level | 37 | 0.262411347517730 | NOK |