Multiple Linear Regression - Estimated Regression Equation
Celebrity[t] = + 0.228869730297837 + 0.152948770159782Popularity[t] + 0.104099951420784KnowingPeople[t] + 0.146565226481132Liked[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.2288697302978370.5179490.44190.6592070.329603
Popularity0.1529487701597820.0381344.01099.5e-054.7e-05
KnowingPeople0.1040999514207840.0307093.38980.0008910.000446
Liked0.1465652264811320.0481743.04240.0027660.001383


Multiple Linear Regression - Regression Statistics
Multiple R0.677006667554951
R-squared0.45833802791386
Adjusted R-squared0.447647331096371
F-TEST (value)42.8726055689874
F-TEST (DF numerator)3
F-TEST (DF denominator)152
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.04086140973719
Sum Squared Residuals164.675656090573


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
135.57995100652068-2.57995100652068
254.80240252783620.197597472163795
366.11734432344208-0.117344323442084
464.551737349934291.44826265006571
554.411574437395950.588425562604054
634.55173734993429-1.55173734993429
786.826874582087481.17312541791252
844.36272561865695-0.362725618656947
945.57356746284204-1.57356746284204
1043.854992948910330.145007051089670
1165.628818595523830.371181404476174
1264.815188385457641.18481161454236
1355.80091799671956-0.80091799671956
1444.3074932562393-0.307493256239298
1564.545353806255641.45464619374436
1644.87682306181808-0.87682306181808
1764.662239615297861.33776038470214
1866.27669540754465-0.276695407544653
1943.806144130171330.193855869828669
2043.695679405336030.304320594663967
2124.54535380625564-2.54535380625564
2276.178978999802520.82102100019748
2354.938457738178520.0615422618214848
2444.40517212345316-0.405172123453159
2565.836999728101260.163000271898742
2666.637844080546-0.637844080546003
2775.365386330264611.63461366973539
2855.72651623300182-0.726516233001823
2965.726516233001820.273483766998176
3045.56076283495647-1.56076283495647
3144.22252516559033-0.22252516559033
3275.427002236360911.57299776363909
3376.026030229642740.973969770357262
3444.64945375767642-0.649453757676424
3544.36272561865695-0.362725618656947
3666.54012767280387-0.54012767280387
3765.303732883640040.696267116359962
3853.910244081592111.08975591840789
3965.579951006520690.420048993479308
4076.6866928992850.313307100714998
4165.628799825259690.37120017474031
4234.65581853109094-1.65581853109094
4333.5851959102366-0.585195910236598
4444.25224212355751-0.252242123557513
4564.502888531195291.49711146880471
4676.081262592060390.918737407939613
4756.44241126506174-1.44241126506174
4843.402530182109630.597469817890367
4954.75995602304000.240043976960005
5066.22784658880565-0.227846588805655
5164.184205133254291.81579486674571
5264.320279113860741.67972088613926
5355.36536756000047-0.365367560000474
5444.19060744719708-0.190607447197077
5555.62879982525969-0.62879982525969
5655.42700223636091-0.427002236360909
5744.91928833687843-0.919288336878428
5866.686692899285-0.686692899285002
5924.69193780300091-2.69193780300091
6086.28307895122331.71692104877670
6133.89109345055616-0.891093450556163
6266.39356244632274-0.393562446322738
6366.10683430730326-0.106834307303261
6466.3319277699623-0.331927769962302
6553.988791088034161.01120891196584
6655.62879982525969-0.62879982525969
6765.231588191140780.768411808859221
6854.704686120094070.295313879905927
6965.781748595419470.218251404580527
7022.14283951918554-0.142839519185540
7155.88584854684026-0.885848546840256
7255.47585105509991-0.475851055099908
7355.10831883841991-0.108318838419907
7465.860314372125650.139685627874346
7565.218802333519340.781197666480658
7665.531102187781690.468897812218307
7755.28043700987978-0.280437009879777
7855.32290228494013-0.322902284940125
7945.2548652946369-1.25486529463690
8023.38337955107368-1.38337955107368
8143.786993499135380.213006500864621
8265.482234598778560.517765401221442
8366.06849550470309-0.0684955047030857
8454.662239615297860.337760384702139
8534.49648621725251-1.49648621725251
8665.072237107038210.92776289296179
8743.903860537913460.096139462086536
8855.40783283506082-0.407832835060822
8986.33192776996231.66807223003770
9044.45403971245629-0.454039712456294
9165.756195650440730.243804349559266
9265.310135197582820.689864802417176
9376.6866928992850.313307100714998
9466.09404844968182-0.094048449681824
9554.968137155617430.0318628443825739
9644.20337453455438-0.203374534554378
9763.774207641513942.22579235848606
9833.6468118163329-0.646811816332898
9955.56718391916339-0.567183919163391
10065.267651152258340.73234884774166
10176.790792850705790.209207149294215
10276.436027721383090.563972278616914
10366.77802576334848-0.778025763348484
10434.33715390341407-1.33715390341407
10522.72271688143142-0.722716881431417
10685.756195650440732.24380434955927
10734.65585607161921-1.65585607161921
10886.130130181063521.86986981893648
10934.54537257651978-1.54537257651978
11044.58783785158012-0.587837851580125
11155.21241878984069-0.212418789840691
11275.531102187781691.46889781221831
11364.545353806255641.45464619374436
11465.921930278221950.0780697217780461
11576.117344323442080.882655676557916
11666.18536254348117-0.185362543481170
11766.18536254348117-0.185362543481170
11865.089149437119820.91085056288018
11965.983564954582390.0164350454176105
12045.37813464735777-1.37813464735777
12145.21880233351934-1.21880233351934
12255.79453445304091-0.79453445304091
12344.14814217213673-0.148142172136729
12465.830616184422610.169383815577393
12566.28946249490195-0.289462494901954
12654.740767851475770.259232148524229
12786.478492996443431.52150700355657
12865.531102187781690.468897812218307
12955.00421888699912-0.00421888699912362
13042.051525425386191.94847457461381
13186.478492996443431.52150700355657
13265.677648643998690.322351356001311
13344.93620066696004-0.936200666960037
13465.56078160522060.439218394779396
13565.92831382190060.0716861780993956
13644.90650247925699-0.90650247925699
13765.983564954582390.0164350454176105
13834.41159320766008-1.41159320766008
13966.89487403186243-0.894874031862433
14055.57356746284204-0.573567462842041
14145.63520213920248-1.63520213920248
14265.726516233001820.273483766998176
14346.32554422628365-2.32554422628365
14443.372850764670720.627149235329278
14545.01060243067777-1.01060243067777
14664.080105181833511.91989481816649
14754.337172673678210.662827326321791
14865.518335100424390.481664899575608
14966.24061367616296-0.240613676162956
15086.123727867120731.87627213287926
15175.371751103679121.62824889632088
15276.582592947864220.417407052135782
15344.30109094229651-0.301090942296511
15465.817830326801170.18216967319883
15565.586334550199340.413665449800658
15625.26126760857969-3.26126760857969


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.8221137404802690.3557725190394620.177886259519731
80.7876969304940680.4246061390118640.212303069505932
90.796973039787850.40605392042430.20302696021215
100.8448140932469480.3103718135061040.155185906753052
110.8212516565789760.3574966868420480.178748343421024
120.8525676418121290.2948647163757420.147432358187871
130.8824584438334060.2350831123331870.117541556166594
140.8403965041719150.3192069916561690.159603495828085
150.8242417141577150.3515165716845700.175758285842285
160.7706842694072450.4586314611855100.229315730592755
170.7954316992255570.4091366015488860.204568300774443
180.7368446288720180.5263107422559630.263155371127982
190.6721784361735320.6556431276529360.327821563826468
200.6066951972655790.7866096054688430.393304802734421
210.915701752562440.1685964948751200.0842982474375602
220.9114210691146240.1771578617707510.0885789308853757
230.8881560564264520.2236878871470950.111843943573548
240.8562573785713090.2874852428573830.143742621428691
250.8222783049557570.3554433900884870.177721695044243
260.7870121991613940.4259756016772130.212987800838606
270.8108518132661090.3782963734677820.189148186733891
280.7821745216313780.4356509567372450.217825478368622
290.7394207239644480.5211585520711030.260579276035552
300.7516868231284820.4966263537430350.248313176871518
310.7156072281141190.5687855437717620.284392771885881
320.7734952706740630.4530094586518740.226504729325937
330.7698893291419310.4602213417161380.230110670858069
340.7433563575380040.5132872849239920.256643642461996
350.7057471083721620.5885057832556760.294252891627838
360.661174617926960.677650764146080.33882538207304
370.6257571407125440.7484857185749120.374242859287456
380.6402198569603940.7195602860792120.359780143039606
390.5986828967650330.8026342064699340.401317103234967
400.5547857190861810.8904285618276380.445214280913819
410.5132010081231320.9735979837537350.486798991876868
420.5441722839482940.9116554321034110.455827716051706
430.545316496839820.909367006320360.45468350316018
440.5014425321071380.9971149357857240.498557467892862
450.5635192659201590.8729614681596820.436480734079841
460.5633296137153860.8733407725692290.436670386284614
470.5920840114950370.8158319770099270.407915988504963
480.5614468840416350.8771062319167290.438553115958365
490.5135177035294270.9729645929411450.486482296470573
500.468267970331780.936535940663560.53173202966822
510.5490353784297320.9019292431405350.450964621570268
520.6044720842469550.791055831506090.395527915753045
530.5646484153401490.8707031693197020.435351584659851
540.5286046457345260.9427907085309480.471395354265474
550.4941428395916740.9882856791833480.505857160408326
560.4539972198761390.9079944397522790.546002780123861
570.4460584876827760.8921169753655510.553941512317224
580.4131173933512790.8262347867025590.586882606648721
590.7090564358943350.5818871282113310.290943564105665
600.7811549339559870.4376901320880250.218845066044013
610.7728713815784420.4542572368431150.227128618421558
620.7401144311962940.5197711376074130.259885568803706
630.7009237858936190.5981524282127620.299076214106381
640.6625511466811840.6748977066376330.337448853318816
650.6584079613947590.6831840772104820.341592038605241
660.6292795683713070.7414408632573860.370720431628693
670.6090652934527360.7818694130945280.390934706547264
680.5690838768512030.8618322462975950.430916123148797
690.525978221300060.948043557399880.47402177869994
700.4821231685265740.9642463370531470.517876831473426
710.4684125536199720.9368251072399430.531587446380028
720.4312762196652970.8625524393305930.568723780334703
730.3861741032788980.7723482065577960.613825896721102
740.3451284426344270.6902568852688530.654871557365573
750.3267658970784240.6535317941568490.673234102921576
760.2950344336436580.5900688672873150.704965566356343
770.2585518346562220.5171036693124430.741448165343778
780.2252358331965720.4504716663931440.774764166803428
790.2469271877190250.493854375438050.753072812280975
800.2774576925468650.5549153850937290.722542307453135
810.2416443968028270.4832887936056540.758355603197173
820.2146893253967570.4293786507935150.785310674603243
830.1823883488471100.3647766976942190.81761165115289
840.1563143353082820.3126286706165640.843685664691718
850.2137258502685480.4274517005370970.786274149731451
860.2058263710429550.4116527420859100.794173628957045
870.1742363315878950.3484726631757890.825763668412105
880.1493352013703960.2986704027407910.850664798629604
890.1944989856379800.3889979712759600.80550101436202
900.1704122468006220.3408244936012440.829587753199378
910.1450640606490000.2901281212980010.854935939351
920.1387573438059960.2775146876119910.861242656194004
930.1169654488910130.2339308977820270.883034551108987
940.09545934240420260.1909186848084050.904540657595797
950.07704131205902420.1540826241180480.922958687940976
960.0631249398554770.1262498797109540.936875060144523
970.1240197972800390.2480395945600780.875980202719961
980.1117496437018360.2234992874036720.888250356298164
990.09481762645912750.1896352529182550.905182373540872
1000.08286973051357040.1657394610271410.91713026948643
1010.0671841108672240.1343682217344480.932815889132776
1020.05632755699366390.1126551139873280.943672443006336
1030.04769623602098020.09539247204196040.95230376397902
1040.06874374868675940.1374874973735190.93125625131324
1050.06267402537851190.1253480507570240.937325974621488
1060.1226491367776560.2452982735553120.877350863222344
1070.1532709627057690.3065419254115370.846729037294231
1080.2490834248214040.4981668496428070.750916575178596
1090.2799401559556150.5598803119112290.720059844044385
1100.2475378999739660.4950757999479320.752462100026034
1110.2094293748421920.4188587496843840.790570625157808
1120.2751926204520290.5503852409040580.724807379547971
1130.2817405365342060.5634810730684110.718259463465794
1140.2399393527321130.4798787054642250.760060647267887
1150.22644881951630.45289763903260.7735511804837
1160.1895289799822800.3790579599645590.81047102001772
1170.1564420470824850.312884094164970.843557952917515
1180.1458203250246060.2916406500492110.854179674975394
1190.1185349278834350.2370698557668690.881465072116565
1200.1561007013234390.3122014026468780.84389929867656
1210.1660420001711090.3320840003422170.833957999828891
1220.1493922130484370.2987844260968740.850607786951563
1230.1191554447450060.2383108894900120.880844555254994
1240.0968772126074620.1937544252149240.903122787392538
1250.07648060189610120.1529612037922020.923519398103899
1260.05957015767307770.1191403153461550.940429842326922
1270.08286495975812890.1657299195162580.917135040241871
1280.0731521736488540.1463043472977080.926847826351146
1290.05416443062094180.1083288612418840.945835569379058
1300.0628624478447040.1257248956894080.937137552155296
1310.09083891193310970.1816778238662190.90916108806689
1320.06755593593083510.1351118718616700.932444064069165
1330.05896605979173830.1179321195834770.941033940208262
1340.04438749362882990.08877498725765980.95561250637117
1350.0307295241418230.0614590482836460.969270475858177
1360.03222235848909820.06444471697819630.967777641510902
1370.02288138423272180.04576276846544350.977118615767278
1380.01911941512507580.03823883025015150.980880584874924
1390.01591231828666240.03182463657332480.984087681713338
1400.009942432893280270.01988486578656050.99005756710672
1410.009399832305682450.01879966461136490.990600167694317
1420.005794678513418870.01158935702683770.994205321486581
1430.02116628388285770.04233256776571540.978833716117142
1440.01439392587000690.02878785174001370.985606074129993
1450.01585702710195890.03171405420391770.98414297289804
1460.01533420277393720.03066840554787440.984665797226063
1470.01389218381796490.02778436763592970.986107816182035
1480.0565764686022170.1131529372044340.943423531397783
1490.02654758661214630.05309517322429260.973452413387854


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level110.0769230769230769NOK
10% type I error level160.111888111888112NOK