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Computing time2 seconds
R ServerBig Analytics Cloud Computing Center


Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 6.48873817201539 -0.0043601891744224t + 0.102753545911328Connected[t] + 0.531584117706552Software[t] -0.0888415627137956Depression[t] + 0.00750114279653472Belonging[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.488738172015392.1547973.01130.0030350.001518
t-0.00436018917442240.003212-1.35750.1765710.088286
Connected0.1027535459113280.043572.35840.0195940.009797
Software0.5315841177065520.068867.719800
Depression-0.08884156271379560.048702-1.82420.0700390.03502
Belonging0.007501142796534720.0143090.52420.6008750.300437


Multiple Linear Regression - Regression Statistics
Multiple R0.59822978169814
R-squared0.357878871710605
Adjusted R-squared0.337298066316714
F-TEST (value)17.3889633987228
F-TEST (DF numerator)5
F-TEST (DF denominator)156
p-value1.15907283770866e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.83674329912701
Sum Squared Residuals526.285647714524


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.407744593335-3.40774459333499
21616.0026724696306-0.00267246963064718
31916.78331929400842.2166807059916
41512.28263985961052.71736014038954
51415.5755653528605-1.57556535286054
61314.893782706495-1.89378270649502
71915.28766073932773.71233926067231
81517.0124891013679-2.01248910136792
91416.1943024745376-2.19430247453764
101512.85166872248692.14833127751308
111615.3654266665810.634573333418978
121616.2088821765113-0.20888217651127
131615.88565299651790.114347003482114
141615.44378894190710.556211058092917
151717.5521479112317-0.55214791123173
161515.2773824310716-0.277382431071634
171514.74838761767050.251612382329491
182016.37674230022823.62325769977181
191815.85236567485552.1476343251445
201615.34128209429120.658717905708795
211615.40589744886180.594102551138183
221615.22347917807910.776520821920881
231916.6453986001782.35460139982202
241615.20968224393330.790317756066727
251714.83921988320582.16078011679417
261717.2993795253287-0.299379525328656
271614.97881155686421.02118844313579
281516.3846529503511-1.38465295035108
291615.47347637364620.526523626353835
301414.5150304869219-0.51503048692188
311515.7184590026367-0.718459002636712
321212.4486690699981-0.448669069998093
331415.1067398164601-1.10673981646012
341615.8659605186060.134039481394023
351415.6089057760386-1.60890577603862
36713.1628222916882-6.16282229168815
371011.1925094521354-1.19250945213537
381415.8676704346622-1.8676704346622
391614.29605602810561.70394397189436
401614.85570911482341.14429088517656
411615.18320329416810.816796705831856
421415.4970440319004-1.4970440319004
432017.87397575704652.12602424295351
441414.3553826797295-0.355382679729478
451415.0533272439715-1.05332724397152
461115.8241974760747-4.82419747607474
471416.7870377729838-2.78703777298378
481515.1030699213774-0.103069921377371
491615.04410297628520.955897023714785
501416.1397013902917-2.13970139029172
511616.6483262953866-0.648326295386623
521414.1247576705481-0.124757670548136
531214.7981948947455-2.7981948947455
541615.87879102315890.12120897684107
55911.6902766314474-2.69027663144736
561412.73994158317731.26005841682272
571616.026749343758-0.026749343757963
581615.29771194674970.7022880532503
591515.5399613012248-0.539961301224762
601614.33179866056251.66820133943745
611211.64719114760180.352808852398237
621616.0135398430779-0.0135398430779227
631616.6613337056713-0.661333705671292
641414.3887488303023-0.388748830302271
651615.32807724487520.671922755124751
661716.33076755745620.669232442543799
671816.32267965646541.6773203435346
681814.60376165184813.39623834815193
691215.891914502903-3.89191450290301
701615.43270542414870.567294575851309
711013.6841086790028-3.68410867900277
721414.2800280397862-0.280028039786165
731816.55889482239941.44110517760059
741817.14205979145330.857940208546729
751615.68719276245470.312807237545341
761713.86111087682073.13888912317928
771616.2356180149673-0.235618014967272
781614.4969615589941.50303844100596
791314.8230396052857-1.82303960528567
801615.92630129584810.0736987041519198
811615.52077236751410.479227632485877
822015.64871192766864.35128807233139
831615.83523306404320.164766935956753
841515.7848575641432-0.784857564143163
851514.7276443849090.272355615090986
861614.24311777520821.75688222479175
871414.2059389122908-0.205938912290842
881615.3263980526140.673601947385977
891614.53198184970491.46801815029512
901514.43676318992380.563236810076243
911213.4542210486208-1.45422104862079
921716.83292845668060.167071543319435
931615.48127177822310.518728221776951
941515.0284735398697-0.0284735398697251
951315.1450582409372-2.14505824093723
961615.01622371274920.983776287250814
971615.87438840054090.125611599459098
981614.04990274745541.95009725254459
991615.86830543161290.131694568387099
1001414.3383451261999-0.338345126199857
1011617.0768426833196-1.07684268331961
1021614.81942379044181.18057620955817
1032017.28402649059592.71597350940412
1041514.68863549652960.311364503470424
1051614.44033589605251.55966410394754
1061315.3377973870606-2.33779738706061
1071715.89867175014621.10132824985382
1081615.72085867115410.279141328845914
1091614.63246876988921.36753123011082
1101212.3614637244714-0.361463724471403
1111614.83768479479571.16231520520432
1121615.85039568185960.149604318140379
1131714.81441893548352.18558106451646
1141314.0796353556272-1.0796353556272
1151214.6090268927126-2.60902689271257
1161816.45211361005071.54788638994926
1171415.4413364168867-1.44133641688671
1181413.09066903254920.909330967450789
1191314.9261727586418-1.92617275864176
1201615.5916390391750.408360960825011
1211314.2718858620621-1.27188586206212
1221615.37905352071570.620946479284291
1231315.9264235797104-2.92642357971037
1241617.0514879118242-1.05148791182416
1251515.8155013047669-0.815501304766881
1261616.7138091159621-0.713809115962115
1271515.2225939644488-0.222593964448826
1281715.96588421236541.03411578763455
1291513.73173321961531.26826678038474
1301214.7508549470802-2.75085494708019
1311614.07683198509631.92316801490371
1321013.3559619515763-3.35596195157628
1331613.9608201581182.03917984188203
1341213.6811946980885-1.68119469808855
1351415.5699890590442-1.56998905904416
1361514.93418715725780.0658128427422197
1371311.91445436859131.08554563140874
1381514.45686803989090.54313196010912
1391113.2647161387682-2.26471613876819
1401213.2301746852716-1.23017468527163
141813.2950485814273-5.29504858142732
1421612.92702380393723.07297619606275
1431513.11840867368761.88159132631242
1441716.49623860177310.503761398226868
1451614.4007852025151.59921479748498
1461013.9053098496951-3.9053098496951
1471815.55048546269412.44951453730593
1481315.2166954920001-2.21669549200006
1491615.09152138655590.908478613444067
1501313.0749346946924-0.0749346946924039
1511013.0275715603938-3.02757156039385
1521516.1345155907559-1.13451559075586
1531613.83251392280272.1674860771973
1541612.07713138107513.92286861892491
1551412.49154505992761.5084549400724
1561012.4380296268131-2.43802962681313
1571716.54951616034310.450483839656889
1581311.55124343282621.44875656717378
1591513.60092754438261.39907245561741
1601614.96267569034981.03732430965021
1611212.3584819918089-0.3584819918089
1621312.62479487793670.375205122063297


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.9623459951222680.07530800975546460.0376540048777323
100.9396614385389730.1206771229220540.0603385614610272
110.917472019153720.1650559616925610.0825279808462805
120.8633474365752670.2733051268494660.136652563424733
130.7947164568782680.4105670862434640.205283543121732
140.7149831630093130.5700336739813750.285016836990687
150.6361741067564630.7276517864870740.363825893243537
160.6383395576190420.7233208847619150.361660442380958
170.5581850845892680.8836298308214640.441814915410732
180.7848852487578270.4302295024843460.215114751242173
190.7614043763501410.4771912472997170.238595623649859
200.7102580299997230.5794839400005530.289741970000277
210.641983258836190.716033482327620.35801674116381
220.5882095966175960.8235808067648080.411790403382404
230.5651096785403310.8697806429193390.434890321459669
240.5273542018645450.945291596270910.472645798135455
250.4744005340711150.948801068142230.525599465928885
260.4240561111590090.8481122223180180.575943888840991
270.3772117488053840.7544234976107690.622788251194616
280.4262432189348610.8524864378697230.573756781065139
290.373608283285840.7472165665716810.62639171671416
300.3882278230756660.7764556461513310.611772176924334
310.3445402132713450.6890804265426910.655459786728655
320.3441905849265270.6883811698530550.655809415073473
330.3435747094369170.6871494188738340.656425290563083
340.2896616867080990.5793233734161980.710338313291901
350.2886455485675280.5772910971350560.711354451432472
360.7963532569671690.4072934860656630.203646743032831
370.7755858055746950.4488283888506090.224414194425305
380.7593830478945080.4812339042109850.240616952105492
390.7953276023910040.4093447952179920.204672397608996
400.7811183032389860.4377633935220280.218881696761014
410.751812045829560.4963759083408810.248187954170441
420.7281528529729640.5436942940540720.271847147027036
430.7491673228508220.5016653542983560.250832677149178
440.7077454736986810.5845090526026370.292254526301319
450.6750381462019990.6499237075960020.324961853798001
460.8579341043655730.2841317912688540.142065895634427
470.8709676418164090.2580647163671810.129032358183591
480.8475526143415920.3048947713168160.152447385658408
490.8347642456566310.3304715086867390.165235754343369
500.8285533708668280.3428932582663450.171446629133172
510.8001116577624770.3997766844750450.199888342237523
520.7673020149584860.4653959700830280.232697985041514
530.786912778513280.426174442973440.21308722148672
540.7593150372663260.4813699254673480.240684962733674
550.7829895676215180.4340208647569640.217010432378482
560.7780794203529450.443841159294110.221920579647055
570.7439952491852310.5120095016295380.256004750814769
580.734940074176570.530119851646860.26505992582343
590.6990651318338390.6018697363323210.300934868166161
600.7056929977762770.5886140044474460.294307002223723
610.6678805308887050.664238938222590.332119469111295
620.6262127494736650.747574501052670.373787250526335
630.5858172818895520.8283654362208960.414182718110448
640.5444103425605720.9111793148788550.455589657439428
650.5114538809160090.9770922381679820.488546119083991
660.479884926569260.9597698531385210.52011507343074
670.4745628125877260.9491256251754520.525437187412274
680.5980354889646780.8039290220706450.401964511035323
690.7348225724727360.5303548550545270.265177427527264
700.7006066509437980.5987866981124050.299393349056202
710.8100378500702060.3799242998595870.189962149929794
720.7807873661987440.4384252676025120.219212633801256
730.7684969713195950.463006057360810.231503028680405
740.7432903691405680.5134192617188630.256709630859432
750.7066747355571650.586650528885670.293325264442835
760.7656946844255890.4686106311488220.234305315574411
770.7297181887622760.5405636224754490.270281811237724
780.7126814957728330.5746370084543340.287318504227167
790.7160079856207670.5679840287584660.283992014379233
800.6829716237181360.6340567525637280.317028376281864
810.6437093304508030.7125813390983950.356290669549197
820.8051679529853330.3896640940293350.194832047014667
830.772185933768990.4556281324620190.22781406623101
840.7442240950204270.5115518099591460.255775904979573
850.7065128500059190.5869742999881610.29348714999408
860.6961619082782610.6076761834434780.303838091721739
870.6560099354117810.6879801291764380.343990064588219
880.6160871471570880.7678257056858230.383912852842912
890.595847441264430.808305117471140.40415255873557
900.5584992131325770.8830015737348450.441500786867423
910.5470884905327870.9058230189344260.452911509467213
920.5057309005684710.9885381988630590.494269099431529
930.4617212268456140.9234424536912290.538278773154386
940.4155006792109370.8310013584218740.584499320789063
950.4457328341466280.8914656682932550.554267165853372
960.4082349530708970.8164699061417940.591765046929103
970.3655720569920320.7311441139840650.634427943007968
980.3595031910147030.7190063820294070.640496808985297
990.3160526971028680.6321053942057370.683947302897132
1000.2806391708924940.5612783417849870.719360829107506
1010.2551303998781540.5102607997563090.744869600121846
1020.2328621196390940.4657242392781880.767137880360906
1030.2820531723331920.5641063446663840.717946827666808
1040.2431090403789320.4862180807578630.756890959621068
1050.2353929482513620.4707858965027230.764607051748639
1060.2485302338404810.4970604676809620.751469766159519
1070.2273019080900640.4546038161801290.772698091909936
1080.202809513790380.4056190275807590.79719048620962
1090.1996433505711770.3992867011423530.800356649428823
1100.1964050740395950.392810148079190.803594925960405
1110.1815186734819380.3630373469638770.818481326518062
1120.1581882951246750.3163765902493490.841811704875325
1130.1817130937557330.3634261875114660.818286906244267
1140.1554203491044790.3108406982089570.844579650895521
1150.16331014783640.32662029567280.8366898521636
1160.1743907916313590.3487815832627180.825609208368641
1170.1515338864853950.3030677729707890.848466113514605
1180.1401412732890240.2802825465780480.859858726710976
1190.1357018310883810.2714036621767630.864298168911618
1200.1435185367665120.2870370735330240.856481463233488
1210.1199588207465970.2399176414931930.880041179253403
1220.1133222844982530.2266445689965050.886677715501747
1230.1168394398036430.2336788796072860.883160560196357
1240.09543279333855790.1908655866771160.904567206661442
1250.07524603863148340.1504920772629670.924753961368517
1260.05806026589670710.1161205317934140.941939734103293
1270.04361586556092180.08723173112184370.956384134439078
1280.04567020525133470.09134041050266950.954329794748665
1290.0443321045742720.0886642091485440.955667895425728
1300.04382000307945580.08764000615891150.956179996920544
1310.04805266150746530.09610532301493060.951947338492535
1320.05779491699530460.1155898339906090.942205083004695
1330.1216630307028360.2433260614056710.878336969297164
1340.1225847474698840.2451694949397680.877415252530116
1350.09723413956982820.1944682791396560.902765860430172
1360.07888350105177160.1577670021035430.921116498948228
1370.07140684818032370.1428136963606470.928593151819676
1380.06642619417055440.1328523883411090.933573805829446
1390.06998666730431820.1399733346086360.930013332695682
1400.05117567984567080.1023513596913420.948824320154329
1410.5708933499717980.8582133000564050.429106650028202
1420.5222644296013030.9554711407973940.477735570398697
1430.4776570911977740.9553141823955470.522342908802226
1440.3955624533552510.7911249067105030.604437546644749
1450.3275169466536010.6550338933072030.672483053346399
1460.3532455911669560.7064911823339120.646754408833044
1470.4001049263573170.8002098527146340.599895073642683
1480.5695905465864020.8608189068271960.430409453413598
1490.4619532457898210.9239064915796430.538046754210179
1500.3757562734500360.7515125469000720.624243726549964
1510.7877292928025530.4245414143948940.212270707197447
1520.7684007103720.4631985792560010.231599289628
1530.6199340085379890.7601319829240220.380065991462011


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level60.0413793103448276OK












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