Multiple Linear Regression - Estimated Regression Equation
KnowingPeople[t] = + 0.704773125332251 + 0.388112646909159Popularity[t] -0.072086130850391FindingFriends[t] + 0.267672517283153Liked[t] + 0.6695223593835Celebrity[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.7047731253322511.7973720.39210.6955280.347764
Popularity0.3881126469091590.0976943.97270.000115.5e-05
FindingFriends-0.0720861308503910.121313-0.59420.5532570.276628
Liked0.2676725172831530.1250022.14130.0338510.016926
Celebrity0.66952235938350.1998273.35050.0010190.00051


Multiple Linear Regression - Regression Statistics
Multiple R0.652918056368862
R-squared0.426301988332492
Adjusted R-squared0.411104690010174
F-TEST (value)28.0511693125379
F-TEST (DF numerator)4
F-TEST (DF denominator)151
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.65644680094332
Sum Squared Residuals1065.56315054255


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11214.1054959532972-2.10549595329718
2711.9425540742875-4.94255407428748
3118.955240504958682.04475949504132
41110.9500703879180.0499296120820082
51412.86601175576291.13398824423705
61615.09104482873950.908955171260549
71312.77019349283780.229806507162218
81314.5556997941731-1.55569979417314
9511.2177429052011-6.21774290520114
1089.10247289261583-1.10247289261583
111411.39653197048642.60346802951365
121515.1047820239306-0.104782023930638
13811.6988212913539-3.69882129135394
141312.9350377606570.0649622393430255
151211.65420955088590.345790449114081
161111.1288594532032-0.128859453203201
1789.34335315186784-1.34335315186784
1845.55213229606351-1.55213229606351
191514.71666937702150.283330622978522
201214.6308460509799-2.6308460509799
211413.81409130393930.185908696060746
22910.6549234802525-1.65492348025246
231610.72700961110295.27299038889714
241010.6549234802525-0.654923480252464
25811.324445839636-3.32444583963596
261410.92259599753563.07740400246438
2769.62863754931304-3.62863754931304
281612.37813098534623.62186901465381
291111.3381830348271-0.33818303482715
30711.4616832904095-4.46168329040952
31139.7314657987773.268534201223
3279.14402450712748-2.14402450712748
331414.4352596645471-0.435259664547138
341714.03340982244682.96659017755321
351512.10658378309222.89341621690782
36812.4750465851723-4.47504658517226
3789.84884580244664-1.84884580244664
38118.955240504958682.04475949504132
391614.15384995207281.8461500479272
401012.5293132335858-2.52931323358577
41510.8306524195813-5.83065241958131
4286.784681682670521.21531831732948
43811.4102691656775-3.41026916567754
441513.60476772231531.3952322776847
4567.93596456055805-1.93596456055805
461613.18509839777812.81490160222192
471614.56569473105671.43430526894327
481613.81409130393932.18590869606075
491912.71877936810586.2812206318942
501414.1538499520728-0.153849952072798
511511.33818303482713.66181696517285
521111.2760918408603-0.276091840860348
531413.10906240634530.890937593654738
541212.1381404607202-0.138140460720245
551511.99396819901953.00603180098054
561410.98468719150243.01531280849758
571313.6452971755376-0.645297175537633
581110.42472029023530.575279709764726
5988.75965411852592-0.759654118525917
601112.2202215284542-1.22022152845423
6199.68311180000138-0.683111800001383
621013.6452971755376-3.64529717553763
63410.8019482656348-6.80194826563478
641514.75128618060590.248713819394093
651713.96438381755283.03561618244723
661211.2355623876380.76443761236198
671210.65492348025251.34507651974754
681513.10995214097131.89004785902867
69137.777165369040015.22283463095999
701515.2461017619499-0.246101761949886
711412.62227897282941.3777210271706
72810.0396677692825-2.03966776928248
731511.53682954721633.46317045278372
741213.1236893361625-1.12368933616251
751410.30142763692773.69857236307227
761010.1570477729521-0.15704777295212
7779.71772860358581-2.71772860358581
781615.76362731407930.236372685920685
79128.302515466722733.69748453327727
801513.64529717553761.35470282446237
8178.88009424815192-1.88009424815192
8298.151333218483160.848666781516844
831510.20540177172774.79459822827226
84710.1195784456862-3.11957844568616
851512.77019349283782.22980650716222
861412.80766282010371.19233717989626
871413.97506088678760.0249391132124122
88810.5551553567449-2.55515535674487
8989.83796113093699-1.83796113093699
901412.4541669767791.54583302322099
91108.906886506183071.09311349381694
921210.23219402975891.76780597024112
93159.346205675549375.65379432445063
941211.59211835691910.407881643080883
951312.02858500260390.971414997396109
961210.21539670861131.78460329138868
97108.370859339265531.62914066073447
9887.777165369040010.222834630959986
99610.1086937741765-4.1086937741765
1001312.10067113345430.899328866545718
101711.444885969262-4.44488596926197
1021313.1583061397469-0.158306139746941
10344.31353783315534-0.31353783315534
1041412.56086991121381.43913008878617
1051311.71255848654511.28744151345488
1061311.61279036303751.38720963696247
10766.4518578454642-0.451857845464202
10878.44668772842351-1.44668772842351
109510.105841250495-5.10584125049497
1101415.4928946708398-1.4928946708398
1111311.82517407061781.17482592938216
1121615.01895869788910.98104130211094
1131613.30247840144772.69752159855228
11477.55784685053248-0.557846850532476
1151411.76002275069472.23997724930533
1161112.3820808459286-1.38208084592862
1171715.09104482873951.90895517126055
11859.74146073566059-4.74146073566059
1191014.8401696326038-4.84016963260385
120118.965235441842272.03476455815773
121108.844795312216261.15520468778374
12299.9982485814341-0.998248581434088
1231211.34817797171070.651822028289261
1241512.95183508180452.04816491819547
125711.6058555521103-4.6058555521103
1261313.3055385274041-0.305538527404088
127812.4088731039598-4.40887310395976
1281611.90508474702154.09491525297848
1291512.57766723236142.42233276763862
130611.5921183569191-5.59211835691912
13165.429314172832370.570685827167627
1321213.2303922705973-1.23039227059733
133810.6817157382836-2.6817157382836
1341112.8453397496445-1.84533974964454
1351313.4259786570301-0.425978657030095
1361411.73629061861992.2637093813801
1371412.64975336321181.35024663678822
138107.372937533334542.62706246666546
139411.1456567743508-7.14565677435075
1401613.49806478788052.50193521211951
1411215.4208085399894-3.42080853998941
1421515.0189586978891-0.01895869788906
1431213.4497107891049-1.44971078910487
1441412.5746071064051.42539289359498
145119.655637409619011.34436259038099
1461612.02552487664753.97447512335247
1471412.26857552722981.73142447277016
1481413.88617743478960.113822565210355
1491513.03786601012091.96213398987907
15098.906886506183060.093113493816936
1511513.81409130393931.18590869606075
1521415.6884810572726-1.68848105727256
1531511.99396819901953.00603180098054
1541011.4923502334115-1.49235023341152
1551415.6884810572726-1.68848105727256
15699.29499915309222-0.294999153092224


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.5315176023147180.9369647953705650.468482397685282
90.8139124393705410.3721751212589170.186087560629459
100.7202824420225330.5594351159549340.279717557977467
110.6579046309006640.6841907381986720.342095369099336
120.6820461984110080.6359076031779840.317953801588992
130.8396970073549280.3206059852901440.160302992645072
140.7776532517119270.4446934965761460.222346748288073
150.7086308527158970.5827382945682050.291369147284103
160.6267098517047330.7465802965905340.373290148295267
170.5514771622086860.8970456755826280.448522837791314
180.4685317784266220.9370635568532450.531468221573378
190.4033634869576460.8067269739152930.596636513042354
200.3581300583189990.7162601166379980.641869941681001
210.289663820442650.5793276408853010.71033617955735
220.2336596222511390.4673192445022790.76634037774886
230.4998969045902340.9997938091804680.500103095409766
240.4309986384187120.8619972768374250.569001361581288
250.4396816557945390.8793633115890770.560318344205461
260.4817293278124430.9634586556248870.518270672187557
270.4986788046798550.997357609359710.501321195320146
280.5698679224152260.8602641551695480.430132077584774
290.5153707536262730.9692584927474530.484629246373727
300.5482344008544440.9035311982911110.451765599145556
310.6248741592013820.7502516815972370.375125840798618
320.6317079683508810.7365840632982380.368292031649119
330.5743976004744950.851204799051010.425602399525505
340.5802947967360320.8394104065279360.419705203263968
350.5867811634013020.8264376731973960.413218836598698
360.6440655513578840.7118688972842320.355934448642116
370.6037170523939960.7925658952120080.396282947606004
380.6019845169062670.7960309661874650.398015483093733
390.5832037066769270.8335925866461460.416796293323073
400.5800668703650030.8398662592699950.419933129634997
410.6956763591349820.6086472817300370.304323640865018
420.656190427991850.68761914401630.34380957200815
430.6704737321132470.6590525357735060.329526267886753
440.6602851235959490.6794297528081030.339714876404051
450.626174174773560.747651650452880.37382582522644
460.619987988380260.7600240232394790.380012011619739
470.5798487540689950.840302491862010.420151245931005
480.5819429072407750.836114185518450.418057092759225
490.810423788880930.3791524222381390.189576211119069
500.7744664822591610.4510670354816780.225533517740839
510.8118140229228360.3763719541543290.188185977077164
520.7773125966845770.4453748066308460.222687403315423
530.747795868203260.5044082635934810.25220413179674
540.7067534563883610.5864930872232780.293246543611639
550.7182775483778230.5634449032443530.281722451622177
560.7364600495041340.5270799009917320.263539950495866
570.7003078380922540.5993843238154910.299692161907746
580.6587987413447570.6824025173104870.341201258655243
590.6162908958372430.7674182083255130.383709104162757
600.5820546940672270.8358906118655460.417945305932773
610.5368918574567610.9262162850864780.463108142543239
620.5841500919511620.8316998160976760.415849908048838
630.8039974884039130.3920050231921740.196002511596087
640.7694633581160710.4610732837678580.230536641883929
650.7744961646971850.451007670605630.225503835302815
660.7429369158286950.514126168342610.257063084171305
670.7142029704454630.5715940591090730.285797029554537
680.6923965932958330.6152068134083340.307603406704167
690.8025772362501450.3948455274997110.197422763749855
700.7689881895687340.4620236208625330.231011810431266
710.7393777566228040.5212444867543910.260622243377195
720.7240882930074180.5518234139851630.275911706992582
730.7606445665366280.4787108669267430.239355433463372
740.7288307103164290.5423385793671430.271169289683571
750.76437047943030.47125904113940.2356295205697
760.7286923448381090.5426153103237830.271307655161891
770.7301771651491840.5396456697016330.269822834850816
780.6993176706533940.6013646586932120.300682329346606
790.7654787294998770.4690425410002450.234521270500123
800.7390006218627280.5219987562745450.260999378137272
810.7234688404645860.5530623190708280.276531159535414
820.6905903630257620.6188192739484760.309409636974238
830.7821307465547530.4357385068904930.217869253445247
840.7977442862727760.4045114274544470.202255713727224
850.7898901240736590.4202197518526820.210109875926341
860.7621859646283670.4756280707432660.237814035371633
870.7268709278540690.5462581442918630.273129072145931
880.7477373932042460.5045252135915090.252262606795754
890.7803363765726140.4393272468547720.219663623427386
900.755832027870520.4883359442589590.24416797212948
910.7276070120400020.5447859759199970.272392987959998
920.7167402859731810.5665194280536380.283259714026819
930.8776258546301270.2447482907397450.122374145369873
940.8557872157481430.2884255685037130.144212784251857
950.8322429685780950.335514062843810.167757031421905
960.808881187923660.382237624152680.19111881207634
970.8026560150062720.3946879699874560.197343984993728
980.783198604699080.4336027906018390.216801395300919
990.8428328839172360.3143342321655290.157167116082764
1000.814556684888760.3708866302224790.185443315111239
1010.8815302496232830.2369395007534340.118469750376717
1020.8555509171602460.2888981656795080.144449082839754
1030.8257680407657120.3484639184685760.174231959234288
1040.7964329340377160.4071341319245680.203567065962284
1050.7709514863157430.4580970273685140.229048513684257
1060.737544946377030.5249101072459390.26245505362297
1070.7033760280250470.5932479439499060.296623971974953
1080.6705825107127490.6588349785745030.329417489287251
1090.8601212468949540.2797575062100930.139878753105046
1100.8403819215316120.3192361569367770.159618078468388
1110.8731243615243160.2537512769513680.126875638475684
1120.853925905970440.292148188059120.14607409402956
1130.8339723250865820.3320553498268370.166027674913418
1140.7987578185682790.4024843628634420.201242181431721
1150.787682390084740.4246352198305180.212317609915259
1160.7529080171853120.4941839656293750.247091982814688
1170.7382311062526230.5235377874947550.261768893747377
1180.9306930904328110.1386138191343770.0693069095671885
1190.9326985137608330.1346029724783350.0673014862391673
1200.9207882909128930.1584234181742140.0792117090871072
1210.9147960760202150.170407847959570.0852039239797852
1220.8899046028827230.2201907942345550.110095397117277
1230.8683648774367040.2632702451265920.131635122563296
1240.8772558137655860.2454883724688290.122744186234414
1250.8954690211218690.2090619577562630.104530978878132
1260.8642699454314380.2714601091371230.135730054568562
1270.8497554095704970.3004891808590060.150244590429503
1280.8448254288461480.3103491423077030.155174571153852
1290.8918895460963210.2162209078073580.108110453903679
1300.9669168369636120.0661663260727760.033083163036388
1310.9535894148230930.09282117035381360.0464105851769068
1320.9601976647151520.07960467056969530.0398023352848476
1330.9434043068786090.1131913862427830.0565956931213915
1340.918792014353090.1624159712938180.081207985646909
1350.8930002015858370.2139995968283250.106999798414163
1360.892528530529650.2149429389406980.107471469470349
1370.8895202074815310.2209595850369380.110479792518469
1380.8524268257903290.2951463484193410.147573174209671
1390.986561788596730.02687642280654060.0134382114032703
1400.9848939494333260.03021210113334850.0151060505666742
1410.9940319286642840.01193614267143180.00596807133571591
1420.9882554367419530.02348912651609430.0117445632580471
1430.9781534096626980.04369318067460390.021846590337302
1440.960587505775670.07882498844866110.0394124942243306
1450.930492432340450.1390151353190980.0695075676595491
1460.9186516114802950.162696777039410.0813483885197051
1470.9298171996738930.1403656006522140.070182800326107
1480.908698685482330.1826026290353380.0913013145176692


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level50.0354609929078014OK
10% type I error level90.0638297872340425OK