Multiple Linear Regression - Estimated Regression Equation
Pop[t] = -1.14995038292072 + 0.0996782073881794Gender[t] + 0.0109330405479477Connected[t] -0.000911994364465981Separate[t] + 0.0367600498910606Learning[t] + 0.0289914646044682Software[t] + 0.0360988324179169Happiness[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.149950382920720.288831-3.98148.7e-054.4e-05
Gender0.09967820738817940.0553111.80210.0725960.036298
Connected0.01093304054794770.0078341.39560.1639250.081963
Separate-0.0009119943644659810.00817-0.11160.9112030.455601
Learning0.03676004989106060.0139782.62990.0090110.004506
Software0.02899146460446820.0149991.93290.0542570.027129
Happiness0.03609883241791690.0111393.24090.0013350.000667


Multiple Linear Regression - Regression Statistics
Multiple R0.44790472945712
R-squared0.200618646670056
Adjusted R-squared0.183550005673687
F-TEST (value)11.7536391276104
F-TEST (DF numerator)6
F-TEST (DF denominator)281
p-value9.325318295339e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.450430533542206
Sum Squared Residuals57.0114340187397


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
110.6944885787718530.305511421228147
210.9037784786031340.0962215213968659
310.7761993117438430.223800688256157
410.3174135850460040.682586414953996
510.7568184686320470.243181531367953
610.7235106852270910.276489314772909
710.8995667575735830.100433242426418
810.7512843126562080.248715687343792
910.7154182414344890.284581758565511
1010.6734009549666950.326599045033305
1110.7289889280090880.271011071990912
1210.9342456652527440.0657543347472557
1310.5306320528347420.469367947165258
1410.8261088475805050.173891152419495
1510.9863461718020510.0136538281979485
1610.5744930780565950.425506921943405
1710.5611543054039150.438845694596085
1811.02730630361918-0.0273063036191842
1910.7277530751386120.272246924861388
2010.7840409945361350.215959005463865
2110.7266569930148550.273343006985145
2210.5935257862630680.406474213736932
2310.9221742616267890.0778257383732112
2410.6589354424484750.341064557551525
2510.8337529532925670.166247046707433
2610.6954980470377740.304501952962226
2710.6673760370374120.332623962962588
2810.7394392777437940.260560722256206
2910.7579632083016990.242036791698301
3010.3933196827987430.606680317201257
3110.7372598984615920.262740101538408
3210.2583950291723510.741604970827649
3310.7442139950671990.255786004932801
3410.7652482713917830.234751728608217
3510.5623350923548280.437664907645172
3610.3179331704147850.682066829585215
3710.09224913978339130.907750860216609
3810.6175640227752420.382435977224758
3910.7302697704657380.269730229534262
4010.5499704879646450.450029512035355
4110.644946228260840.35505377173916
4210.7314749814854430.268525018514557
4310.9839756238132880.0160243761867116
4410.4403515557646070.559648444235393
4510.685685353872710.31431464612729
4610.4716758026375880.528324197362412
4710.7626278096769890.237372190323011
4810.6912996994417050.308700300558295
4910.8294085583545780.170591441645422
5010.568144433399770.43185556660023
5110.8365519575582750.163448042441725
5210.4824860820499960.517513917950004
5310.3559164311296620.644083568870338
5410.6850312443780340.314968755621966
5510.07970685600758620.920293143992414
5610.5524024943556280.447597505644372
5710.8587482896428370.141251710357163
5810.7133190517454420.286680948254558
5910.5252331682626330.474766831737367
6010.6126378685704410.387362131429559
6110.0853565015800050.914643498419995
6210.6398405444529590.360159455547041
6310.6806598596579840.319340140342016
6410.5956627416723660.404337258327634
6510.7707202375785790.229279762421421
6610.5617604569574960.438239543042504
6710.7760460405360.223953959464
6810.5671899833803750.432810016619625
6910.6701372914738820.329862708526118
7010.6765031045515510.323496895448448
7110.3375892303777080.662410769622292
7210.6651244234148010.334875576585199
7310.8949273116539090.105072688346091
7410.8371572777285880.162842722271412
7510.602492342812430.39750765718757
7610.6677865935066890.332213406493311
7710.8992365224759280.100763477524072
7810.6695311081382770.330468891861723
7910.4951636372295310.504836362770469
8010.6352914644562730.364708535543727
8110.6555490178201220.344450982179878
8210.7761813119397310.223818688060269
8310.7013559456321670.298644054367833
8410.6803666588937570.319633341106243
8510.6657054354037780.334294564596222
8610.5469837438709370.453016256129063
8710.7209523815193160.279047618480684
8810.642945375638540.35705462436146
8910.4324124990673030.567587500932697
9010.5715442155705930.428455784429407
9110.843211103178640.15678889682136
9210.7725333344818670.227466665518133
9310.6787312572671040.321268742732896
9410.5344892146942910.465510785305709
9510.7989413717049680.201058628295032
9610.7205663491152760.279433650884724
9710.6585800518952050.341419948104795
9810.7733028335766790.226697166423321
9910.5131129482811170.486887051718883
10010.940073021992810.0599269780071896
10110.562905212518160.43709478748184
10211.05722777828324-0.0572277782832425
10310.4417650880207060.558234911979294
10410.7234997775104350.276500222489565
10510.4088551349329370.591144865067063
10610.8836633046214840.116336695378516
10710.7402773591103060.259722640889694
10810.4797745071343780.520225492865622
10910.3865939798248150.613406020175185
11010.724252092293390.27574790770661
11110.6496847267430730.350315273256928
11210.6753051332887820.324694866711218
11310.7040567446095960.295943255390404
11410.8415395542742830.158460445725717
11510.6709517801548680.329048219845132
11610.5369274976804740.463072502319526
11710.5807687728772010.419231227122799
11810.7737935955301230.226206404469877
11910.4070689119242560.592931088075744
12010.7344617255791510.265538274420849
12110.696876295181460.30312370481854
12210.8551183278800970.144881672119903
12310.7848177333878820.215182266612118
12410.7508738561833750.249126143816625
12510.7022499243015090.297750075698491
12610.9527209382647550.0472790617352452
12710.7758881111755040.224111888824496
12810.6037976252288840.396202374771116
12910.5171713663208020.482828633679198
13010.1383870340799140.861612965920086
13110.7148806562615970.285119343738403
13210.4193910765505210.580608923449479
13310.623937091500860.37606290849914
13410.7500169277384720.249983072261528
13510.2720018630246530.727998136975347
13610.565543705819090.43445629418091
13710.3371615895930170.662838410406983
13810.5159112370510140.484088762948986
13910.2916226229841510.708377377015849
14010.6301523149714130.369847685028587
14110.5342022905252650.465797709474735
14210.8109757092154720.189024290784528
14310.6165473988578160.383452601142184
14410.5358911555199460.464108844480054
14510.8911125307450540.108887469254946
14610.4336726601191160.566327339880884
14710.5408794518407530.459120548159247
14810.2672155383797940.732784461620206
14910.4777376549038550.522262345096145
15010.7727463456529390.227253654347061
15110.613782508243650.38621749175635
15210.4921120383302390.507887961669761
15310.4056374639694760.594362536030524
15410.3510633744305610.648936625569439
15510.423054420577980.57694557942202
15610.7758881111755040.224111888824496
15710.6686191137738110.331380886226189
15810.3711676406955560.628832359304444
15900.250313477205393-0.250313477205393
16000.343697989968854-0.343697989968854
16100.843792015171172-0.843792015171172
16200.488187141473269-0.488187141473269
16300.0817021316394842-0.0817021316394842
16400.48687548246517-0.48687548246517
16500.396631132672739-0.396631132672739
16600.437463132846634-0.437463132846634
16700.372445785660468-0.372445785660468
16800.209465370367055-0.209465370367055
16900.823213184905595-0.823213184905595
17000.32230921328749-0.32230921328749
17100.247051663930037-0.247051663930037
17200.684380934621547-0.684380934621547
17300.507578792305278-0.507578792305278
17400.322096318003874-0.322096318003874
17500.285910771731677-0.285910771731677
17600.642516919361595-0.642516919361595
17700.43057051053426-0.43057051053426
17800.751927514434228-0.751927514434228
17900.252940363184867-0.252940363184867
18000.830937480210813-0.830937480210813
18100.641003315708747-0.641003315708747
18200.384278167386037-0.384278167386037
18300.67209651982452-0.67209651982452
18400.661841881061573-0.661841881061573
18500.533387917731734-0.533387917731734
18600.207224532682633-0.207224532682633
18700.113480145913926-0.113480145913926
18800.526378755206565-0.526378755206565
18900.770145618072259-0.770145618072259
19000.339066786749296-0.339066786749296
19100.602794517663595-0.602794517663595
19200.579679083236099-0.579679083236099
19300.55240064413817-0.55240064413817
19400.647647011347257-0.647647011347257
19500.718216398425918-0.718216398425918
19600.245098680392576-0.245098680392576
19700.411628867855573-0.411628867855573
19800.431120590084331-0.431120590084331
19900.472465051757526-0.472465051757526
20000.450892171425858-0.450892171425858
20100.6043253056283-0.6043253056283
20200.70040875126072-0.70040875126072
20300.711091014917346-0.711091014917346
20400.713513931333934-0.713513931333934
20500.37710327905729-0.37710327905729
20600.610573894779388-0.610573894779388
20700.405263054777903-0.405263054777903
20800.624776020141651-0.624776020141651
20900.43173315001158-0.43173315001158
21000.293177803235625-0.293177803235625
21100.633609970996995-0.633609970996995
21200.479412724098452-0.479412724098452
21300.836105469695193-0.836105469695193
21400.655047595815946-0.655047595815946
21500.210322298811958-0.210322298811958
21600.748530313867686-0.748530313867686
21700.425475602664566-0.425475602664566
21800.61481002398672-0.61481002398672
21900.54162099068552-0.54162099068552
22000.403316320804444-0.403316320804444
22100.312363830322977-0.312363830322977
22200.650223214862701-0.650223214862701
22300.388582015699777-0.388582015699777
22400.145751571267342-0.145751571267342
22500.288984129683221-0.288984129683221
22600.451304462225137-0.451304462225137
22700.158588806028389-0.158588806028389
22800.472491178374297-0.472491178374297
22900.904732896840505-0.904732896840505
23000.637643996749912-0.637643996749912
23100.306729602950388-0.306729602950388
2320-0.0186127373745780.018612737374578
23300.514078274235144-0.514078274235144
23400.535560872749256-0.535560872749256
23500.194840194158337-0.194840194158337
23600.222296196754434-0.222296196754434
23700.249603602186355-0.249603602186355
23800.018399791955783-0.018399791955783
23900.287625647455674-0.287625647455674
24000.205327462339014-0.205327462339014
24100.412835813205281-0.412835813205281
24200.448040798732323-0.448040798732323
24300.172344352932323-0.172344352932323
24400.296311557832986-0.296311557832986
24500.306749352975515-0.306749352975515
24600.221481708073448-0.221481708073448
24700.396663683554191-0.396663683554191
24800.599703144016926-0.599703144016926
24900.388697537078381-0.388697537078381
25000.458409979821127-0.458409979821127
25100.45991011004405-0.45991011004405
25200.330930168862774-0.330930168862774
25300.661511761851375-0.661511761851375
2540-0.09997266973153250.0999726697315325
25500.593250601193965-0.593250601193965
25600.480857820183835-0.480857820183835
25700.114532069834777-0.114532069834777
25800.418871507072752-0.418871507072752
25900.422586332472314-0.422586332472314
26000.398916128560068-0.398916128560068
26100.321091201411459-0.321091201411459
26200.32003234421282-0.32003234421282
26300.644775772741141-0.644775772741141
26400.0766759219289464-0.0766759219289464
26500.31479312333121-0.31479312333121
26600.432192379917764-0.432192379917764
26700.624482903482855-0.624482903482855
26800.257917899458499-0.257917899458499
26900.704895641468363-0.704895641468363
27000.618904473416653-0.618904473416653
27100.133289477084691-0.133289477084691
27200.256821949113209-0.256821949113209
27300.558007865837684-0.558007865837684
2740-0.02797000037164650.0279700003716465
27500.516419051537847-0.516419051537847
2760-0.1023804267544010.102380426754401
27700.47711162154668-0.47711162154668
27800.579212729460436-0.579212729460436
27900.683531114155112-0.683531114155112
28000.284111207071538-0.284111207071538
28100.714774192382191-0.714774192382191
28200.636230448602801-0.636230448602801
28300.290122476870217-0.290122476870217
2840-0.06771232679545210.0677123267954521
28500.705636233042407-0.705636233042407
28600.416912278722114-0.416912278722114
28700.623791044158941-0.623791044158941
28800.615545154457818-0.615545154457818


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
101.11110105889153e-482.22220211778305e-481
111.06991453149447e-672.13982906298894e-671
121.16078501347172e-782.32157002694344e-781
133.75955680746915e-1067.5191136149383e-1061
142.08379073501777e-1084.16758147003553e-1081
157.22329676823318e-1241.44465935364664e-1231
16001
171.96001330388058e-1663.92002660776115e-1661
187.9224583230376e-1721.58449166460752e-1711
193.39325344696583e-1866.78650689393167e-1861
203.11121968977211e-2116.22243937954423e-2111
213.81831657140507e-2457.63663314281015e-2451
221.26810792211861e-2352.53621584423722e-2351
232.81099847535037e-2475.62199695070075e-2471
248.78304411960806e-2661.75660882392161e-2651
257.35956275524374e-2851.47191255104875e-2841
26001
278.42768016228596e-3151.68553603245719e-3141
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Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2691NOK
5% type I error level2691NOK
10% type I error level2691NOK