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
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.9580981983113750.3273852.92650.0039580.001979
Friends0.4974663638514510.0594288.370900
Known-0.1318194345137080.046904-2.81040.0056040.002802
Nfriends0.3034892084549950.0645114.70446e-063e-06
Before-0.03351654642916360.062163-0.53920.5905640.295282


Multiple Linear Regression - Regression Statistics
Multiple R0.70337646006034
R-squared0.494738444567015
Adjusted R-squared0.481354032502565
F-TEST (value)36.9637786243207
F-TEST (DF numerator)4
F-TEST (DF denominator)151
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.563332541287094
Sum Squared Residuals47.9188763630193


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
132.362615236575070.637384763424932
232.659770652031650.340229347968354
343.764215432793090.235784567206915
432.99677640691580.00322359308419623
532.465793496635190.534206503364812
632.356281443576650.64371855642335
733.36875712925196-0.36875712925196
821.898665419152780.101334580847222
932.396131783004230.603868216995772
1033.22427010874142-0.224270108741423
1133.10365983920171-0.103659839201708
1232.963259860486640.0367401395133602
1333.23060390173984-0.230603901739837
1421.865148872723610.134851127276386
1532.564096384719730.435903615280266
1632.362615236575060.637384763424935
1722.30045751569232-0.300457515692317
1833.23060390173984-0.230603901739837
1922.29412372269390-0.294123722693903
2011.69835447075791-0.698354470757908
2122.52161742451952-0.521617424519523
2233.53409311019483-0.534093110194832
2332.202154627607770.797845372392228
2432.791590086545350.208409913454647
2532.699620991459220.300379008540777
2633.06526792079697-0.0652679207969651
2723.00311019991422-1.00311019991422
2832.733137537888390.266862462111613
2933.23060390173984-0.230603901739837
3043.157237015883100.842762984116904
3133.15723701588310-0.157237015883096
3233.03662674634338-0.0366267463433812
3333.50057656376567-0.500576563765668
3432.659770652031650.340229347968355
3522.03048485366649-0.0304848536664862
3633.19708735531067-0.197087355310674
3732.831440425972930.168559574027069
3832.532826589493520.467173410506484
3933.19708735531067-0.197087355310674
4043.534093110194830.465906889805168
4133.32890678982438-0.328906789824382
4233.01908378837097-0.0190837883709731
4312.12878774175103-1.12878774175103
4421.898665419152780.101334580847222
4532.963259860486640.0367401395133602
4643.665912544708540.33408745529146
4743.728070265591290.271929734408712
4822.26060717626474-0.260607176264739
4912.52795121751794-1.52795121751794
5032.699620991459220.300379008540777
5132.59761293114890.402387068851102
5212.50564383606277-1.50564383606277
5332.831440425972930.168559574027069
5422.29412372269390-0.294123722693903
5533.28905645039680-0.289056450396804
5632.396131783004230.603868216995772
5722.42964832943339-0.429648329433392
5843.230603901739840.769396098260163
5911.32783216944459-0.327832169444586
6033.83758231864983-0.837582318649827
6122.16230428818019-0.162304288180195
6243.197087355310670.802912644689326
6333.40227367568112-0.402273675681123
6443.632395998279380.367604001720624
6532.195820834609360.804179165390642
6633.19708735531067-0.197087355310674
6732.202154627607770.797845372392228
6833.46072622433809-0.46072622433809
6933.32890678982438-0.328906789824382
7011.45965160395829-0.459651603958294
7133.19708735531067-0.197087355310674
7233.19708735531067-0.197087355310674
7332.699620991459220.300379008540777
7423.07014329277254-1.07014329277254
7532.864956972402100.135043027597905
7633.00311019991422-0.00311019991421758
7732.831440425972930.168559574027069
7822.86495697240210-0.864956972402095
7933.15723701588310-0.157237015883096
8021.493168150387460.506831849612542
8122.65977065203165-0.659770652031645
8233.23060390173984-0.230603901739837
8332.831440425972930.168559574027069
8422.26431234849052-0.26431234849052
8523.25553990396764-1.25553990396764
8632.831440425972930.168559574027069
8722.12878774175103-0.128787741751031
8832.864956972402100.135043027597905
8943.534093110194830.465906889805168
9022.52795121751794-0.527951217517937
9133.32890678982438-0.328906789824382
9222.69962099145922-0.699620991459223
9343.500576563765670.499423436234332
9433.23060390173984-0.230603901739837
9532.659770652031650.340229347968355
9632.162304288180190.837695711819805
9732.167179660155770.832820339844226
9822.26060717626474-0.260607176264739
9932.26918772046610.7308122795339
10042.963259860486641.03674013951336
10143.534093110194830.465906889805168
10243.632395998279380.367604001720624
10332.534285010516350.465714989483649
10432.555133970948690.444866029051314
10511.52668469681662-0.526684696816621
10643.233232522512470.76676747748753
10712.39613178300423-1.39613178300423
10833.53409311019483-0.534093110194832
10922.06400140009565-0.0640014000956498
11021.932181965581940.0678180344180585
11132.733137537888390.266862462111613
11232.904807311829670.095192688170327
11323.09507929500035-1.09507929500035
11433.19708735531067-0.197087355310674
11533.50057656376567-0.500576563765668
11642.860081600426521.13991839957348
11743.460726224338090.53927377566191
11832.465793496635190.534206503364811
11932.699620991459220.300379008540777
12033.02541758136939-0.0254175813693874
12132.527951217517940.472048782482063
12232.927114693284840.0728853067151573
12312.16230428818019-1.16230428818019
12423.46706001733650-1.46706001733650
12543.197087355310670.802912644689326
12632.791590086545350.208409913454647
12743.500576563765670.499423436234332
12832.699620991459220.300379008540777
12922.59498431037626-0.594984310376264
13011.49316815038746-0.493168150387458
13143.500576563765670.499423436234332
13233.36242333625355-0.362423336253546
13332.162304288180190.837695711819805
13432.494434671088770.505565328911227
13543.197087355310670.802912644689326
13632.659770652031650.340229347968355
13733.23060390173984-0.230603901739837
13811.89866541915278-0.898665419152778
13943.826373153675830.173626846324168
14022.69962099145922-0.699620991459223
14122.89359814685568-0.89359814685568
14232.699620991459220.300379008540777
14332.893598146855680.106401853144321
14422.03048485366649-0.0304848536664862
14532.527951217517940.472048782482063
14633.06156274857118-0.0615627485711845
14722.16230428818019-0.162304288180195
14822.66610444503006-0.666104445030059
14933.23060390173984-0.230603901739837
15043.632395998279380.367604001720624
15143.168446180857090.83155381914291
15243.500576563765670.499423436234332
15322.03048485366649-0.0304848536664862
15433.23060390173984-0.230603901739837
15533.23060390173984-0.230603901739837
15632.092642574549230.907357425450766


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.01303456417733730.02606912835467470.986965435822663
90.05114559871749250.1022911974349850.948854401282508
100.01819524659422190.03639049318844380.981804753405778
110.04185845069145660.08371690138291330.958141549308543
120.02674343724527070.05348687449054140.97325656275473
130.01269153486699530.02538306973399070.987308465133005
140.01187796763980480.02375593527960960.988122032360195
150.00561847307609530.01123694615219060.994381526923905
160.003851388106224940.007702776212449880.996148611893775
170.01050012300748360.02100024601496730.989499876992516
180.005972219917318350.01194443983463670.994027780082682
190.01317559929240720.02635119858481430.986824400707593
200.02195384122853440.04390768245706880.978046158771466
210.03158724477846210.06317448955692410.968412755221538
220.02996233318688630.05992466637377270.970037666813114
230.05435826676132310.1087165335226460.945641733238677
240.03691056929147190.07382113858294370.963089430708528
250.02527962331033520.05055924662067030.974720376689665
260.01833544953344670.03667089906689350.981664550466553
270.06317205604707410.1263441120941480.936827943952926
280.0537879756417660.1075759512835320.946212024358234
290.03889346110195060.07778692220390130.96110653889805
300.04886917771886720.09773835543773430.951130822281133
310.04241357481924010.08482714963848010.95758642518076
320.03140916965715410.06281833931430830.968590830342846
330.02955969868529980.05911939737059950.9704403013147
340.02162794778923190.04325589557846390.978372052210768
350.01559087460722870.03118174921445740.984409125392771
360.01166918264356180.02333836528712360.988330817356438
370.007985927203067340.01597185440613470.992014072796933
380.01126635780199540.02253271560399090.988733642198005
390.008073095307795490.01614619061559100.991926904692205
400.01043437760140870.02086875520281730.989565622398591
410.008534964593567520.01706992918713500.991465035406432
420.005857834869990890.01171566973998180.994142165130009
430.03915533141789930.07831066283579870.9608446685821
440.02885560767517490.05771121535034990.971144392324825
450.02090368158312720.04180736316625450.979096318416873
460.01885452594509870.03770905189019730.981145474054901
470.01461387973907260.02922775947814520.985386120260927
480.01171028493009120.02342056986018240.98828971506991
490.1040620584185410.2081241168370810.89593794158146
500.08829302189510660.1765860437902130.911706978104893
510.07983598719533790.1596719743906760.920164012804662
520.2521643774051330.5043287548102660.747835622594867
530.2176169790564400.4352339581128810.78238302094356
540.1917468280732660.3834936561465320.808253171926734
550.1712250624548450.3424501249096900.828774937545155
560.1727698883456560.3455397766913120.827230111654344
570.1616650213015760.3233300426031510.838334978698424
580.1904510859132220.3809021718264430.809548914086778
590.1693982233639540.3387964467279070.830601776636046
600.2001390606089010.4002781212178010.7998609393911
610.1698514933767050.339702986753410.830148506623295
620.2010952762548380.4021905525096750.798904723745162
630.1839911772396720.3679823544793430.816008822760328
640.1678996397113870.3357992794227750.832100360288613
650.2073314836511650.4146629673023290.792668516348835
660.1794001716469090.3588003432938170.820599828353092
670.2157695143015060.4315390286030120.784230485698494
680.2033685030829490.4067370061658980.796631496917051
690.1816141159428750.3632282318857510.818385884057125
700.1725157116599170.3450314233198340.827484288340083
710.1474661470000280.2949322940000560.852533852999972
720.1248796590990050.249759318198010.875120340900995
730.1082330749598750.2164661499197490.891766925040125
740.176322476287620.352644952575240.82367752371238
750.1498439581057490.2996879162114970.850156041894251
760.1259372955330860.2518745910661710.874062704466914
770.1053167878150260.2106335756300530.894683212184973
780.1392009364056230.2784018728112460.860799063594377
790.1170645023753540.2341290047507080.882935497624646
800.1133338385868680.2266676771737360.886666161413132
810.1215773671215630.2431547342431250.878422632878437
820.1036195527603580.2072391055207160.896380447239642
830.08582992061402780.1716598412280560.914170079385972
840.07319157266629530.1463831453325910.926808427333705
850.1568629346711430.3137258693422850.843137065328857
860.1329054441275040.2658108882550070.867094555872496
870.1101164145544180.2202328291088370.889883585445582
880.09080358047953880.1816071609590780.90919641952046
890.08448392073595970.1689678414719190.91551607926404
900.08216716205172230.1643343241034450.917832837948278
910.07185426415706650.1437085283141330.928145735842933
920.08092176120508250.1618435224101650.919078238794917
930.07664846727681760.1532969345536350.923351532723182
940.06409498064557660.1281899612911530.935905019354423
950.05458668490048820.1091733698009760.945413315099512
960.07050381452608720.1410076290521740.929496185473913
970.08521991264602570.1704398252920510.914780087353974
980.07110670545980740.1422134109196150.928893294540193
990.0846621252888680.1693242505777360.915337874711132
1000.1326735816849950.265347163369990.867326418315005
1010.1240647001911290.2481294003822580.87593529980887
1020.1093971776230490.2187943552460970.890602822376951
1030.1020997553703710.2041995107407430.897900244629628
1040.0944973298756150.188994659751230.905502670124385
1050.08746845819042260.1749369163808450.912531541809577
1060.1009809663380880.2019619326761760.899019033661912
1070.2551493490509860.5102986981019720.744850650949014
1080.2462524880920180.4925049761840360.753747511907982
1090.2080469071862040.4160938143724080.791953092813796
1100.1747333397245030.3494666794490060.825266660275497
1110.1519672910578370.3039345821156730.848032708942163
1120.1268307739267910.2536615478535820.873169226073209
1130.2184302015083190.4368604030166370.781569798491681
1140.1886105083937550.3772210167875110.811389491606245
1150.1853466741230280.3706933482460550.814653325876972
1160.2788543873636160.5577087747272330.721145612636384
1170.2554486392137840.5108972784275670.744551360786216
1180.2484471176099120.4968942352198240.751552882390088
1190.2203440576603680.4406881153207370.779655942339632
1200.1831373959805380.3662747919610770.816862604019462
1210.1702824853546890.3405649707093780.829717514645311
1220.1366731160045310.2733462320090620.863326883995469
1230.2406702220697150.481340444139430.759329777930285
1240.6614028941164370.6771942117671260.338597105883563
1250.6920170435302830.6159659129394330.307982956469717
1260.6360826568565760.7278346862868480.363917343143424
1270.5957020396898260.8085959206203470.404297960310174
1280.5488581176921510.9022837646156970.451141882307849
1290.5212705842233250.957458831553350.478729415776675
1300.5243037167906880.9513925664186230.475696283209312
1310.5048603485429610.9902793029140770.495139651457038
1320.5037713291738950.992457341652210.496228670826105
1330.5320084976889450.935983004622110.467991502311055
1340.5250402441924020.9499195116151960.474959755807598
1350.6269126955342940.7461746089314130.373087304465706
1360.5568311117294540.8863377765410920.443168888270546
1370.5021244263892720.9957511472214560.497875573610728
1380.5566655766962730.8866688466074540.443334423303727
1390.4794775603032490.9589551206064990.520522439696751
1400.529307819125520.941384361748960.47069218087448
1410.655231976945260.689536046109480.34476802305474
1420.5785442457042040.8429115085915920.421455754295796
1430.4745615864215730.9491231728431470.525438413578427
1440.3732988291283480.7465976582566960.626701170871652
1450.3077315913414890.6154631826829780.692268408658511
1460.2117318915717510.4234637831435010.78826810842825
1470.208258128687390.416516257374780.79174187131261
1480.2946571579794450.5893143159588910.705342842020555


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level10.00709219858156028OK
5% type I error level240.170212765957447NOK
10% type I error level370.262411347517730NOK