Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 2.94270390531953 + 0.185263472328658Connected[t] + 0.0505286866563771Separate[t] -0.087130072775124Software[t] + 0.0597825118886497Happiness[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.942703905319530.24362412.078900
Connected0.1852634723286580.0955061.93980.0542650.027133
Separate0.05052868665637710.0897760.56280.5743860.287193
Software-0.0871300727751240.075564-1.15310.2507080.125354
Happiness0.05978251188864970.0715940.8350.4050270.202514


Multiple Linear Regression - Regression Statistics
Multiple R0.247547090880362
R-squared0.06127956220333
Adjusted R-squared0.0364127956391799
F-TEST (value)2.46431565781758
F-TEST (DF numerator)4
F-TEST (DF denominator)151
p-value0.0475045513703866
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.70860242857057
Sum Squared Residuals75.8197276681926


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
143.480907626840090.519092373159909
243.595385260501690.404614739498314
333.65691727393647-0.656917273936472
443.448472675837910.551527324162088
533.51750901295883-0.517509012958834
643.682515333276810.317484666723191
743.591218825385110.408781174614886
843.272463028741530.727536971258473
943.540690138728740.459309861271263
1023.67326150804454-1.67326150804454
1123.54069013872874-1.54069013872874
1243.568037699615210.431962300384789
1343.591218825385110.408781174614886
1443.18533295596640.814667044033597
1543.631986646620430.368013353379568
1633.42112511495144-0.421125114951438
1743.41937561340530.5806243865947
1843.531436313496460.468563686503536
1933.35959310151665-0.359593101516651
2023.03667086975649-1.03667086975649
2123.26320920350925-1.26320920350925
2243.678348898160240.321651101839762
2333.57729152484748-0.577291524847484
2443.595385260501690.404614739498315
2543.540690138728740.459309861271263
2633.59121882538511-0.591218825385114
2733.35542666640008-0.355426666400079
2823.48090762684009-1.48090762684009
2933.53143631349646-0.531436313496464
3043.831177419486720.168822580513280
3133.64591394715806-0.645913947158063
3233.42112511495144-0.421125114951438
3343.678348898160240.321651101839762
3423.53560274861304-1.53560274861304
3543.479158125293950.52084187470605
3633.59121882538511-0.591218825385114
3743.448472675837910.551527324162088
3823.54485657384531-1.54485657384531
3933.53143631349646-0.531436313496464
4043.776482297713770.223517702286228
4143.618566386271590.381433613728412
4233.67326150804454-0.673261508044537
4353.234112141076641.76588785892336
4433.35959310151665-0.359593101516651
4533.53560274861304-0.535602748613036
4643.716699785825120.283300214174878
4743.914141057145270.0858589428547271
4853.2998105896281.700189410372
4933.34442333962167-0.344423339621670
5043.540690138728740.459309861271263
5143.572204134731780.427795865268217
5223.03250443463992-1.03250443463992
5343.714950284278990.285049715721015
5443.272463028741530.727536971258473
5543.591218825385110.408781174614886
5633.48090762684009-0.480907626840087
5733.32299171539790-0.322991715397904
5833.77648229771377-0.776482297713772
5923.12380094253162-1.12380094253162
6043.678348898160240.321651101839762
6143.359593101516650.640406898483349
6243.776482297713770.223517702286228
6333.56387126449864-0.56387126449864
6443.863612370488900.136387629511104
6533.57220413473178-0.572204134731783
6643.618566386271590.381433613728412
6743.490161452072360.50983854792764
6843.586131435269410.413868564730587
6943.618566386271590.381433613728412
7043.151148503418090.84885149658191
7143.678348898160240.321651101839762
7243.765478970935360.234521029064638
7343.508255187726560.491744812273438
7423.35542666640008-1.35542666640008
7533.56803769961521-0.568037699615211
7643.540690138728740.459309861271263
7743.540690138728740.459309861271263
7833.4425567391752-0.442556739175203
7943.586131435269410.413868564730587
8043.39619448763540.603805512364602
8143.350339276284380.649660723715622
8233.61856638627159-0.618566386271588
8333.48090762684009-0.480907626840087
8433.5570343728368-0.557034372836801
8533.48799803571588-0.487998035715879
8643.568037699615210.431962300384789
8743.359593101516650.640406898483349
8823.65516777239034-1.65516777239034
8943.863612370488900.136387629511104
9033.41012178817303-0.410121788173028
9143.645913947158060.354086052841937
9233.38277422728655-0.382774227286554
9343.776482297713770.223517702286228
9433.59121882538511-0.591218825385114
9533.71495028427899-0.714950284278985
9643.544856573845310.455143426154692
9733.52167544807541-0.521675448075406
9843.359593101516650.640406898483349
9923.57729152484748-1.57729152484748
10043.753301171943870.246698828056131
10143.776482297713770.223517702286228
10243.776482297713770.223517702286228
10343.480907626840090.519092373159913
10443.595385260501690.404614739498315
10533.15114850341809-0.151148503418090
10643.693518660055220.306481339944781
10733.22485831584437-0.22485831584437
10843.678348898160240.321651101839762
10933.27246302874153-0.272463028741527
11023.299810589628-1.29981058962800
11133.50825518772656-0.508255187726562
11223.71495028427899-1.71495028427899
11343.410121788173030.589878211826972
11443.618566386271590.381433613728412
11543.705696459046710.294303540953288
11613.80382985860025-2.80382985860025
11743.776482297713770.223517702286228
11843.544856573845310.455143426154692
11943.540690138728740.459309861271263
12033.67834889816024-0.678348898160238
12143.568037699615210.431962300384789
12243.591218825385110.408781174614886
12333.23411214107664-0.234112141076643
12443.493085425831580.50691457416842
12543.716699785825120.283300214174878
12643.682515333276810.317484666723191
12743.716699785825120.283300214174878
12843.540690138728740.459309861271263
12933.41012178817303-0.410121788173028
13033.15114850341809-0.151148503418090
13143.656917273936470.343082726063528
13243.765478970935360.234521029064638
13343.544856573845310.455143426154692
13443.508255187726560.491744812273438
13543.803829858600250.196170141399754
13643.595385260501690.404614739498315
13743.678348898160240.321651101839762
13843.146982068301520.853017931698481
13943.827010984370150.172989015629851
14033.38277422728655-0.382774227286554
14133.40595535305646-0.405955353056456
14243.627820211503860.372179788496139
14343.531436313496460.468563686503536
14423.27246302874153-1.27246302874153
14543.595385260501690.404614739498315
14643.622732821388160.37726717861184
14743.359593101516650.640406898483349
14853.295644154511431.70435584548857
14943.591218825385110.408781174614886
15043.803829858600250.196170141399754
15143.753301171943870.246698828056131
15243.863612370488900.136387629511104
15343.359593101516650.640406898483349
15443.678348898160240.321651101839762
15543.531436313496460.468563686503536
15643.595385260501690.404614739498315


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.1100674221466740.2201348442933480.889932577853326
90.07990123669564540.1598024733912910.920098763304355
100.6843700049198340.6312599901603320.315629995080166
110.9352893129081330.1294213741837350.0647106870918674
120.9131755041402660.1736489917194680.086824495859734
130.8821628889763070.2356742220473850.117837111023693
140.8376377561292370.3247244877415250.162362243870763
150.8033606271365870.3932787457268260.196639372863413
160.7679253906140610.4641492187718780.232074609385939
170.7027733917024110.5944532165951780.297226608297589
180.6617948773828450.676410245234310.338205122617155
190.6787148368880120.6425703262239760.321285163111988
200.840597188360440.318805623279120.15940281163956
210.863870479127270.2722590417454590.136129520872729
220.8254962400645960.3490075198708090.174503759935404
230.840363108336910.3192737833261790.159636891663090
240.816017153851090.3679656922978190.183982846148910
250.7766584228207790.4466831543584430.223341577179221
260.7644249904405220.4711500191189570.235575009559478
270.7213134545345520.5573730909308960.278686545465448
280.847748419700030.304503160599940.15225158029997
290.8192647332018460.3614705335963080.180735266798154
300.779775183683330.440449632633340.22022481631667
310.752892260767760.4942154784644790.247107739232240
320.7116526715204990.5766946569590020.288347328479501
330.6711593894492070.6576812211015860.328840610550793
340.7806513208996570.4386973582006850.219348679100343
350.7500051367379480.4999897265241040.249994863262052
360.7307491623281060.5385016753437870.269250837671894
370.7506751916136020.4986496167727960.249324808386398
380.8683567175482980.2632865649034030.131643282451702
390.8494348221801310.3011303556397380.150565177819869
400.8188623527297070.3622752945405870.181137647270293
410.7981807021665280.4036385956669430.201819297833472
420.7791984598120530.4416030803758940.220801540187947
430.912128423703680.1757431525926390.0878715762963194
440.8950243514296240.2099512971407520.104975648570376
450.8818338169869950.2363323660260100.118166183013005
460.8690319349771040.2619361300457920.130968065022896
470.8400875871112520.3198248257774950.159912412888748
480.9492905376785960.1014189246428080.0507094623214039
490.9456403880590080.1087192238819840.054359611940992
500.9366085487543920.1267829024912150.0633914512456076
510.9273533777469860.1452932445060280.0726466222530141
520.94424538153660.1115092369268010.0557546184634006
530.9326200552164030.1347598895671930.0673799447835967
540.9332116201696760.1335767596606480.0667883798303242
550.9227685648583270.1544628702833470.0772314351416733
560.9129894325906560.1740211348186870.0870105674093437
570.8978158917959130.2043682164081730.102184108204087
580.9005654465316480.1988691069367030.0994345534683515
590.930441184711390.1391176305772200.0695588152886102
600.9172094730641780.1655810538716430.0827905269358216
610.9133917464312670.1732165071374670.0866082535687335
620.895158339024650.2096833219506990.104841660975349
630.887519385982870.2249612280342600.112480614017130
640.8644886125398060.2710227749203880.135511387460194
650.8553455261384970.2893089477230070.144654473861503
660.8361878405954470.3276243188091060.163812159404553
670.8198839431254190.3602321137491630.180116056874581
680.8034731287807720.3930537424384560.196526871219228
690.7791818655568770.4416362688862450.220818134443123
700.7915685974910590.4168628050178820.208431402508941
710.764211884239090.471576231521820.23578811576091
720.7367227995001350.526554400999730.263277200499865
730.7161127185922030.5677745628155940.283887281407797
740.8165565496758820.3668869006482370.183443450324118
750.8069868343572730.3860263312854540.193013165642727
760.7862541886184230.4274916227631550.213745811381577
770.7641807883855320.4716384232289360.235819211614468
780.740937941789340.5181241164213210.259062058210660
790.715245880993070.569508238013860.28475411900693
800.713468484362880.5730630312742410.286531515637121
810.7018404311965020.5963191376069960.298159568803498
820.6965009477257740.6069981045484520.303499052274226
830.6865942903008230.6268114193983530.313405709699177
840.6672991260340750.6654017479318490.332700873965925
850.6496085553231190.7007828893537620.350391444676881
860.6203814788266370.7592370423467250.379618521173363
870.612287512936280.775424974127440.38771248706372
880.7824527512094850.4350944975810300.217547248790515
890.7482203791852910.5035592416294180.251779620814709
900.7274317427201230.5451365145597550.272568257279877
910.6938560488708890.6122879022582220.306143951129111
920.6686463958565950.662707208286810.331353604143405
930.6277383042156070.7445233915687860.372261695784393
940.6262869044476980.7474261911046040.373713095552302
950.6137330561785410.7725338876429180.386266943821459
960.59044293465090.81911413069820.4095570653491
970.5622548933271490.8754902133457010.437745106672851
980.5535245078069810.8929509843860370.446475492193019
990.7191680583510710.5616638832978580.280831941648929
1000.6802624052136060.6394751895727880.319737594786394
1010.6380562176413280.7238875647173440.361943782358672
1020.5936156439488240.8127687121023520.406384356051176
1030.5602106362202620.8795787275594760.439789363779738
1040.5264965583574520.9470068832850960.473503441642548
1050.4778833450334890.9557666900669780.522116654966511
1060.4339447708630130.8678895417260250.566055229136987
1070.3951482298348620.7902964596697230.604851770165138
1080.3542073434825380.7084146869650750.645792656517462
1090.3243880811066250.648776162213250.675611918893375
1100.4841321602467920.9682643204935840.515867839753208
1110.4892128777633610.9784257555267220.510787122236639
1120.7158471643759380.5683056712481230.284152835624062
1130.6914762780637120.6170474438725750.308523721936288
1140.6522097010411880.6955805979176230.347790298958812
1150.6116374437346080.7767251125307840.388362556265392
1160.9988124921919530.002375015616094530.00118750780804726
1170.9981484275544670.003703144891065320.00185157244553266
1180.9971870807659230.005625838468153960.00281291923407698
1190.9957441837315650.008511632536870240.00425581626843512
1200.9975424833855260.004915033228947080.00245751661447354
1210.996216654435610.007566691128778810.00378334556438941
1220.9941980205979230.01160395880415450.00580197940207724
1230.992689747084670.01462050583066070.00731025291533033
1240.989971683172690.02005663365461830.0100283168273091
1250.984914828557990.03017034288401920.0150851714420096
1260.9780986920903860.04380261581922730.0219013079096137
1270.9682312217129650.06353755657406990.0317687782870350
1280.9547981326546330.09040373469073450.0452018673453672
1290.9525735942279030.0948528115441940.047426405772097
1300.9438315222263330.1123369555473340.0561684777736671
1310.9209411576335830.1581176847328350.0790588423664175
1320.8904309971403960.2191380057192090.109569002859604
1330.8543737635501980.2912524728996040.145626236449802
1340.811983471732010.3760330565359810.188016528267991
1350.7554973998177560.4890052003644880.244502600182244
1360.6922697070896830.6154605858206340.307730292910317
1370.6189835901650470.7620328196699060.381016409834953
1380.6000236530801470.7999526938397050.399976346919853
1390.5212195796287380.9575608407425230.478780420371262
1400.5030459599259150.993908080148170.496954040074085
1410.6126601382587530.7746797234824940.387339861741247
1420.5172131191281320.9655737617437350.482786880871868
1430.4189835536073870.8379671072147750.581016446392613
1440.9946876317006980.01062473659860420.00531236829930212
1450.9852496146235040.0295007707529910.0147503853764955
1460.9715343893442330.05693122131153340.0284656106557667
1470.9354816039092090.1290367921815820.064518396090791
14813.89377133056926e-451.94688566528463e-45


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.049645390070922NOK
5% type I error level140.099290780141844NOK
10% type I error level180.127659574468085NOK