Multiple Linear Regression - Estimated Regression Equation
learning[t] = + 2.48990404372805 + 0.426091612628586month[t] + 0.516843561342474software[t] + 0.045757829853616happiness[t] -0.0709397127583948depression[t] + 0.038589237638697belonging[t] -0.050854282587912belonging_final[t] + 0.104520106029249connected[t] -0.0166444792252037separate[t] -0.00808417941848365t_[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.489904043728054.9556140.50240.6160840.308042
month0.4260916126285860.5448930.7820.4354470.217723
software0.5168435613424740.0716237.216100
happiness0.0457578298536160.0769740.59450.553090.276545
depression-0.07093971275839480.057365-1.23660.2181280.109064
belonging0.0385892376386970.0449980.85760.3924770.196238
belonging_final-0.0508542825879120.064311-0.79080.430320.21516
connected0.1045201060292490.0473092.20930.0286490.014325
separate-0.01664447922520370.045099-0.36910.7125940.356297
t_-0.008084179418483650.005915-1.36670.1737260.086863


Multiple Linear Regression - Regression Statistics
Multiple R0.605198140049454
R-squared0.366264788719319
Adjusted R-squared0.328740993314542
F-TEST (value)9.76086733147174
F-TEST (DF numerator)9
F-TEST (DF denominator)152
p-value1.03371755599824e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.84856364710096
Sum Squared Residuals519.412508722245


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11316.3788268676057-3.37882686760566
21616.3059102952169-0.305910295216947
31916.52736581249632.47263418750373
41512.28257942107222.7174205789278
51415.7769882026356-1.77698820263559
61315.2123465462428-2.21234654624283
71915.27412439308923.72587560691083
81516.9058992756156-1.90589927561558
91416.1783919119273-2.17839191192733
101512.8864838046342.11351619536597
111615.48519927691380.514800723086201
121616.3341612361093-0.334161236109342
131615.65404587754470.345954122455302
141615.48521995100560.514780048994384
151717.5656675610663-0.56566756106631
161515.2477552505162-0.247755250516216
171514.83903734832160.160962651678373
182016.36787780214333.63212219785675
191815.61610036092322.38389963907678
201615.35592914689440.644070853105585
211615.42454258897460.575457411025432
221614.96980365254931.0301963474507
231916.49651322473382.50348677526623
241614.86942349104841.13057650895164
251714.98967493346532.01032506653465
261717.0565579852705-0.0565579852704987
271615.15289471725810.847105282741883
281516.1690820498718-1.16908204987177
291615.60703506344150.392964936558473
301414.1840649292735-0.18406492927352
311515.7392666272434-0.739266627243416
321212.4265864381265-0.426586438126476
331415.1992390180958-1.1992390180958
341615.59122237629370.408777623706298
351415.7363713107492-1.73637131074921
36713.1138336202915-6.11383362029154
371011.184319234823-1.184319234823
381415.8213010939847-1.82130109398466
391614.35495643378071.64504356621934
401614.69096507955361.30903492044643
411615.11140430431420.888595695685838
421415.5873052365559-1.58730523655593
432017.73913803911182.26086196088817
441414.2324917496016-0.23249174960162
451414.9306293540629-0.930629354062905
461115.6106829088904-4.61068290889042
471416.3558440897111-2.35584408971106
481514.96614475669380.0338552433061588
491615.17762767984890.822372320151106
501415.9820480706767-1.98204807067668
511616.4239632744075-0.423963274407492
521414.1168571148381-0.116857114838093
531214.6697001770435-2.66970017704347
541615.13751627485720.862483725142772
55911.6454614697847-2.64546146978468
561412.68541813949341.3145818605066
571615.95349478873150.0465052112685003
581615.02064875449330.979351245506657
591515.271060844441-0.271060844441
601614.09991557336391.90008442663611
611211.48421724052570.515782759474301
621615.85798772172350.14201227827653
631616.3573501019405-0.357350101940502
641414.2277979997142-0.227797999714248
651615.20886306934040.791136930659618
661716.25110922801920.748890771980774
671816.33352787889971.66647212110025
681815.00238355278442.99761644721565
691216.0684499072232-4.06844990722316
701615.64939732408540.350602675914571
711013.7504385390616-3.75043853906156
721414.5353285963698-0.535328596369761
731816.74990771293061.25009228706944
741817.28319754649280.716802453507221
751615.96420889566090.0357911043390888
761714.1614829247982.83851707520201
771616.4688821690734-0.468882169073428
781614.65718373355881.34281626644118
791315.070248043394-2.07024804339396
801616.0860734170066-0.0860734170066234
811615.76337000195930.236629998040679
822016.70519918556723.29480081443276
831615.82361718295080.176382817049226
841516.1029768645233-1.10297686452325
851514.90360276431060.0963972356893793
861614.45681436507231.54318563492774
871414.391619240408-0.391619240407967
881615.4408969158330.55910308416699
891614.66829428132991.33170571867011
901514.39940605471280.600593945287229
911213.6410581200468-1.64105812004682
921716.92621316930660.073786830693395
931615.57311976407580.426880235924186
941515.3714538641445-0.371453864144486
951315.2991369494367-2.29913694943672
961615.2690336090770.730966390922985
971615.86029001397220.139709986027799
981614.28332380850991.71667619149012
991616.1362097248028-0.136209724802822
1001414.4267353641362-0.426735364136238
1011617.2555160085583-1.25551600855829
1021614.83883037957381.1611696204262
1032017.33419242504262.66580757495742
1041514.60795176339820.392048236601774
1051614.59701985051771.40298014948226
1061315.3472092933278-2.34720929332783
1071715.97156218079981.02843781920019
1081615.82047495108080.179525048919168
1091614.5342009465861.46579905341397
1101212.2792634412546-0.279263441254573
1111614.99095898664461.00904101335536
1121615.82931299482270.170687005177315
1131714.59818913281992.40181086718006
1141314.7933863179564-1.79338631795639
1151214.8059019429118-2.80590194291178
1161816.51276785264021.48723214735981
1171415.3604029518822-1.3604029518822
1181413.00159147829110.998408521708891
1191314.8696184515675-1.86961845156752
1201615.6079639246320.39203607536803
1211314.1818571767333-1.1818571767333
1221615.51517762706740.484822372932591
1231315.8755596745373-2.87555967453732
1241616.8804260180872-0.880426018087244
1251515.8270509217703-0.827050921770263
1261616.6486358954769-0.648635895476948
1271515.3226370478173-0.322637047817312
1281716.03757548604220.962424513957788
1291513.72902852242121.27097147757884
1301214.7990797750334-2.79907977503341
1311614.07407480953141.92592519046861
1321013.2686718893059-3.26867188930591
1331613.98437592728882.01562407271118
1341213.7719286881651-1.77192868816507
1351415.4477298780759-1.44772987807591
1361514.9234578088690.0765421911309641
1371312.13261430966360.867385690336352
1381514.23430515902140.765694840978573
1391113.0208209184329-2.02082091843295
1401213.1876454723548-1.18764547235481
141813.2413164840765-5.24131648407655
1421612.89894410991693.1010558900831
1431513.20296230118091.79703769881907
1441716.30512868650320.694871313496786
1451614.58835878766731.41164121233275
1461013.9593488956681-3.95934889566813
1471815.60013405027072.39986594972932
1481314.8840182996455-1.88401829964546
1491614.90071765148361.09928234851643
1501312.85704895999480.142951040005196
1511012.9363002932357-2.93630029323575
1521516.062265080782-1.06226508078198
1531613.83520431458032.16479568541969
1541611.42854939749524.57145060250483
1551412.26470144031851.73529855968155
1561012.2919503967349-2.29195039673492
1571716.40074150710520.599258492894832
1581311.42675573667471.57324426332525
1591513.48650313986661.51349686013335
1601614.76801283055021.23198716944981
1611212.3170633552789-0.317063355278913
1621312.73968234246390.260317657536092


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.735533505378640.5289329892427210.26446649462136
140.710005394965790.5799892100684190.28999460503421
150.588050605192610.8238987896147810.41194939480739
160.474892767529030.949785535058060.52510723247097
170.3964016414960110.7928032829920210.603598358503989
180.5516918906088760.8966162187822470.448308109391124
190.4657871307780590.9315742615561170.534212869221941
200.377124790505630.7542495810112610.62287520949437
210.3065446028026020.6130892056052040.693455397197398
220.2986371104425480.5972742208850960.701362889557452
230.4251399281801850.850279856360370.574860071819815
240.4976604969113160.9953209938226310.502339503088684
250.4433339366447360.8866678732894710.556666063355264
260.3750269376612030.7500538753224050.624973062338797
270.3461448836053090.6922897672106180.653855116394691
280.4494409732139190.8988819464278390.550559026786081
290.3918253808327790.7836507616655580.608174619167221
300.5014112211954520.9971775576090960.498588778804548
310.4503936386738150.900787277347630.549606361326185
320.4129253482037420.8258506964074830.587074651796258
330.4007730519912960.8015461039825920.599226948008704
340.3690938213379050.738187642675810.630906178662095
350.3204460881372620.6408921762745240.679553911862738
360.8641363822577750.271727235484450.135863617742225
370.8372820494603490.3254359010793020.162717950539651
380.81874510187940.36250979624120.1812548981206
390.8491000681732060.3017998636535880.150899931826794
400.8369836020040220.3260327959919570.163016397995978
410.8099303265657220.3801393468685560.190069673434278
420.7816301199991840.4367397600016320.218369880000816
430.8115826442573380.3768347114853250.188417355742663
440.7722943749117690.4554112501764620.227705625088231
450.7430767634719170.5138464730561670.256923236528083
460.8769931317814550.246013736437090.123006868218545
470.8995319915275260.2009360169449480.100468008472474
480.8776660644307970.2446678711384060.122333935569203
490.8746143818556430.2507712362887150.125385618144357
500.8670230546278140.2659538907443720.132976945372186
510.8396665626981070.3206668746037850.160333437301893
520.8097031511201880.3805936977596230.190296848879812
530.8221550675779630.3556898648440740.177844932422037
540.792152841224330.4156943175513410.20784715877567
550.8116166961333510.3767666077332980.188383303866649
560.7907385012275210.4185229975449570.209261498772479
570.754439376158460.4911212476830790.24556062384154
580.7391863963484020.5216272073031950.260813603651598
590.7107007902620070.5785984194759850.289299209737993
600.7139555932565330.5720888134869330.286044406743467
610.6800055783346290.6399888433307420.319994421665371
620.6458566709972160.7082866580055690.354143329002784
630.6206869665882850.758626066823430.379313033411715
640.5864779465800240.8270441068399520.413522053419976
650.5502715135788010.8994569728423990.449728486421199
660.5026492885403330.9947014229193340.497350711459667
670.4775906825915640.9551813651831270.522409317408436
680.5155177227165320.9689645545669360.484482277283468
690.7377405605526630.5245188788946740.262259439447337
700.6979542356694230.6040915286611530.302045764330576
710.828940174554920.3421196508901590.17105982544508
720.7991085657459240.4017828685081520.200891434254076
730.7874901106934370.4250197786131250.212509889306563
740.7655949498637370.4688101002725260.234405050136263
750.7282560762828020.5434878474343970.271743923717198
760.7600403285998820.4799193428002360.239959671400118
770.7242349842415150.551530031516970.275765015758485
780.7010477977571670.5979044044856660.298952202242833
790.7183254970581010.5633490058837970.281674502941899
800.6770514653868830.6458970692262350.322948534613117
810.6370022816255530.7259954367488940.362997718374447
820.7594136913479290.4811726173041420.240586308652071
830.7220399025181190.5559201949637610.277960097481881
840.6950093186778780.6099813626442440.304990681322122
850.6524719647381260.6950560705237480.347528035261874
860.6354438971953870.7291122056092270.364556102804613
870.590655044841710.818689910316580.40934495515829
880.5469882384382050.9060235231235910.453011761561796
890.5205129403332540.9589741193334910.479487059666746
900.4820665742804140.9641331485608280.517933425719586
910.4724475608413370.9448951216826740.527552439158663
920.4294804735048230.8589609470096470.570519526495177
930.387161079921050.77432215984210.61283892007895
940.3438819328017860.6877638656035720.656118067198214
950.3694995505650840.7389991011301680.630500449434916
960.3336422645228130.6672845290456270.666357735477187
970.292102065928990.584204131857980.70789793407101
980.2873947386017110.5747894772034220.712605261398289
990.2471583630460660.4943167260921310.752841636953934
1000.2135445628999910.4270891257999820.786455437100009
1010.1906669348082410.3813338696164830.809333065191759
1020.1740737106959370.3481474213918730.825926289304063
1030.2174769070496640.4349538140993280.782523092950336
1040.1838046187875890.3676092375751780.816195381212411
1050.1788101285518330.3576202571036650.821189871448167
1060.1865777485104220.3731554970208440.813422251489578
1070.1682083365360450.3364166730720910.831791663463955
1080.1470988040439370.2941976080878730.852901195956063
1090.1455335163188140.2910670326376280.854466483681186
1100.1398040682903460.2796081365806920.860195931709654
1110.12772169155680.25544338311360.8722783084432
1120.109277373127510.2185547462550190.89072262687249
1130.1570879264690380.3141758529380760.842912073530962
1140.1398917737375090.2797835474750190.860108226262491
1150.1556220999184480.3112441998368960.844377900081552
1160.165829764602070.3316595292041390.83417023539793
1170.1397241505762150.279448301152430.860275849423785
1180.145086941919560.290173883839120.85491305808044
1190.1289949500622840.2579899001245690.871005049937716
1200.1460500739840080.2921001479680160.853949926015992
1210.1186253663879210.2372507327758420.881374633612079
1220.1051317210614290.2102634421228570.894868278938571
1230.09731848641399860.1946369728279970.902681513586001
1240.07514021907376530.1502804381475310.924859780926235
1250.05706902327124330.1141380465424870.942930976728757
1260.04280688436283080.08561376872566160.957193115637169
1270.03122417603825150.06244835207650310.968775823961748
1280.03167137674228460.06334275348456920.968328623257715
1290.03403036404971080.06806072809942160.965969635950289
1300.03238921188501120.06477842377002240.967610788114989
1310.04107038971685020.08214077943370040.95892961028315
1320.04022806292886780.08045612585773560.959771937071132
1330.1201763484596820.2403526969193630.879823651540318
1340.1258922131933580.2517844263867160.874107786806642
1350.1007775456756390.2015550913512780.899222454324361
1360.07983241892178050.1596648378435610.920167581078219
1370.05810116791840830.1162023358368170.941898832081592
1380.06214185981476570.1242837196295310.937858140185234
1390.05511692398371750.1102338479674350.944883076016283
1400.03676952909193680.07353905818387360.963230470908063
1410.5318345598758610.9363308802482780.468165440124139
1420.4744710899933190.9489421799866380.525528910006681
1430.4122233510926270.8244467021852530.587776648907373
1440.319893967713640.6397879354272790.68010603228636
1450.2388034548004380.4776069096008760.761196545199562
1460.2395795245431220.4791590490862450.760420475456878
1470.2901787890938830.5803575781877660.709821210906117
1480.6484585831213660.7030828337572690.351541416878634
1490.5985945979525440.8028108040949120.401405402047456


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 level80.0583941605839416OK