Multiple Linear Regression - Estimated Regression Equation
depression[t] = + 6.58797994876194 + 0.488652503217881month[t] -0.0166948282146893extrinsic[t] + 0.0320052694405513intrinsic[t] + 0.0230697145628817amotivation[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.587979948761944.1208921.59870.1119030.055951
month0.4886525032178810.3374651.4480.1496080.074804
extrinsic-0.01669482821468930.02658-0.62810.5308480.265424
intrinsic0.03200526944055130.036050.88780.3759990.188
amotivation0.02306971456288170.0981060.23520.8143980.407199


Multiple Linear Regression - Regression Statistics
Multiple R0.136456050689232
R-squared0.0186202537697023
Adjusted R-squared-0.00638305186673827
F-TEST (value)0.74471168094528
F-TEST (DF numerator)4
F-TEST (DF denominator)157
p-value0.562917785991773
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.17624994716511
Sum Squared Residuals1583.90450511802


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11211.95921499213030.0407850078697264
21112.1790165328989-1.17901653289887
31412.10967655151061.89032344848936
41212.353385145235-0.35338514523502
52112.61219607473718.38780392526291
61212.4239835925127-0.423983592512665
72212.55053809893739.44946190106272
81112.4772530620307-1.47725306203074
91012.1631590430771-2.16315904307707
101312.25833751300580.741662486994162
111012.7425697155806-2.74256971558059
12812.4322899144456-4.43228991444563
131512.32650121285342.67349878714658
141412.22633224356531.77366775643471
151012.3377406774616-2.33774067746156
161412.4327061253421.56729387465802
171412.94567642813451.05432357186548
181112.3224302362357-1.3224302362357
191012.6270903050666-2.62709030506659
201312.67205345265170.327946547348294
21712.1080018747249-5.10800187472487
221412.6615254053371.33847459466297
231212.5379142473403-0.537914247340314
241412.41836386020861.5816361397914
251112.8324187430022-1.83241874300223
26911.9285941096785-2.92859410967853
271111.9285941096785-0.928594109678534
281512.287491824122.71250817588003
291411.97305886201852.02694113798147
301312.30288444969460.697115550305403
31912.314041729954-3.31404172995398
321512.19017381315832.80982618684175
331012.0751878812892-2.0751878812892
341112.7643091607829-1.76430916078294
351313.0280333218958-0.028033321895784
36812.7224050769724-4.72240507697242
372013.38147567273076.61852432726932
381212.7970745008678-0.797074500867788
391012.8876349455829-2.88763494558289
401012.8040786201607-2.80407862016069
41913.1362518543179-4.13625185431788
421412.92232680465231.07767319534766
43812.8849920927047-4.88499209270466
441412.58226345945851.41773654054146
451112.4673310975405-1.46733109754048
461313.2269333035322-0.226933303532228
47912.6517293619462-3.65172936194619
481113.2557535880988-2.25575358809877
491512.72635013249072.27364986750927
501113.3688031677829-2.36880316778288
511012.6870018006095-2.68700180060951
521412.72052229473851.27947770526152
531813.14996980310674.85003019689326
541412.51733339783581.48266660216421
551112.7539941355166-1.75399413551662
561212.8368390436454-0.836839043645359
571312.76230045744960.237699542550418
58912.7316795749979-3.73167957499786
591013.156054399658-3.15605439965799
601512.50571125332922.49428874667077
612012.69967430555737.30032569444269
621212.9086088558635-0.908608855863481
631212.5466520776474-0.546652077647447
641412.66213148816141.33786851183855
651312.74852893870970.251471061290277
661113.0489634954257-2.04896349542572
671712.71527503658014.28472496341989
681212.6468210469356-0.646821046935584
691312.91817364368590.0818263563141436
701413.13319279054330.866807209456715
711312.93209969792290.067900302077109
721512.7873837919462.212616208054
731312.61141777057270.388582229427328
741012.7310016887023-2.73100168870232
751112.8856213256494-1.88562132564936
761912.74740622712016.25259377287993
771312.65139041879840.348609581201579
781713.00525389712983.99474610287016
791312.94048820420460.0595117957953838
80912.6606649168239-3.66066491682386
811112.6760575423985-1.67605754239848
821012.6976606856238-2.69766068562377
83912.680210703365-3.68021070336496
841212.9070163634265-0.907016363426477
851212.869889756927-0.869889756926971
861312.74845658756130.251543412438692
871312.98855906891520.0114409310848485
881213.0820092921072-1.08200929210716
891512.86288563763412.13711436236593
902212.93390029580819.06609970419193
911312.2418276401190.758172359880965
921512.35046730003772.64953269996234
931313.0018558902075-0.00185589020748068
941512.70944719882792.29055280117214
951013.1543310695214-3.15433106952139
961113.0722413154368-2.07224131543678
971612.66351587515033.33648412484973
981112.6664927545761-1.66649275457611
991112.8624694267377-1.86246942673772
1001013.1936075979315-3.19360759793149
1011013.5111482771584-3.51114827715836
1021612.99906396610953.00093603389047
1031213.2750681190714-1.27506811907141
1041113.3233520058303-2.32335200583029
1051613.18555803479752.81444196520247
1061913.27804499849725.72195500150276
1071113.3014536562079-2.30145365620789
1081613.11621805340932.8837819465907
1091513.31634788653741.68365211346261
1102413.180020486842210.8199795131578
1111413.8298165845750.170183415424958
1121513.51475438952891.48524561047111
1131112.9503638684543-1.95036386845429
1141513.21915579667511.78084420332491
1151213.4012885989484-1.40128859894843
1161013.1056078217459-3.10560782174586
1171413.79046825269380.209531747306174
1181313.5366478225511-0.536647822551126
119913.2141652973157-4.21416529731573
1201513.54633853147291.45366146852708
1211513.16671874894971.83328125105028
1221413.38639436861890.613605631381079
1231113.5884556373318-2.58845563733179
124812.7800948471336-4.78009484713363
1251113.56269933314-2.56269933314001
1261113.2851799554897-2.28517995548972
127813.1591724976611-5.15917249766105
1281013.5113563826065-3.51135638260653
1291113.1410110981088-2.14101109810877
1301313.1160099479611-0.116009947961121
1311113.242225511238-2.24222551123797
1322013.1977607588986.80223924110203
1331013.4839204850288-3.48392048502882
1341513.35112192995561.6488780700444
1351213.3283425051897-1.32834250518966
1361413.10526887859810.894731121401904
1372313.63370907471389.36629092528616
1381413.56504697962110.434953020378861
1391613.36928332950792.63071667049212
1401113.2722993450937-2.27229934509375
1411213.4208781222402-1.42087812224019
1421013.5275041622253-3.52750416222528
1431413.8458821798450.154117820154974
1441212.9281314922843-0.928131492284295
1451213.3154618947937-1.31546189479368
1461113.1270850438717-2.12708504387174
1471213.5686530919917-1.56865309199168
1481313.0508231275394-0.0508231275393683
1491113.1020838937241-2.10208389372409
1501913.04209567810995.95790432189012
1511213.3547280423261-1.35472804232614
1521713.6658451818543.33415481814602
153913.0478462481135-4.04784624811354
1541213.6169369787506-1.61693697875056
1551913.32473639281915.67526360718088
1561813.14461721047934.85538278952069
1571513.40980302632961.59019697367043
1581413.80329529313880.196704706861201
1591113.4905083934254-2.49050839342536
160913.169071312031-4.16907131203102
1611812.85434806013265.14565193986736
1621612.8655053403923.13449465960798


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.9146086588793130.1707826822413730.0853913411206867
90.8576720307091670.2846559385816670.142327969290833
100.8094516749980280.3810966500039450.190548325001972
110.9655332155267440.06893356894651250.0344667844732563
120.975176164935590.04964767012881980.0248238350644099
130.9588706125300430.08225877493991470.0411293874699573
140.935619677022140.128760645955720.06438032297786
150.9109842808517810.1780314382964390.0890157191482195
160.8732638887368160.2534722225263680.126736111263184
170.8537148194100340.2925703611799320.146285180589966
180.8102515015353080.3794969969293850.189748498464692
190.7921824188370990.4156351623258030.207817581162902
200.7368861005509420.5262277988981160.263113899449058
210.8669256278943170.2661487442113670.133074372105683
220.825975721700510.3480485565989790.17402427829949
230.7896850937117380.4206298125765240.210314906288262
240.7534317072025130.4931365855949740.246568292797487
250.7317456062035830.5365087875928340.268254393796417
260.6938629895990750.612274020801850.306137010400925
270.6364181341025020.7271637317949970.363581865897498
280.6122730360882710.7754539278234580.387726963911729
290.5795306193579320.8409387612841350.420469380642068
300.525425841549210.949148316901580.47457415845079
310.5023703120893810.9952593758212380.497629687910619
320.5060743503580730.9878512992838540.493925649641927
330.5196048916440470.9607902167119070.480395108355954
340.4627749992183030.9255499984366060.537225000781697
350.4116768181341090.8233536362682180.588323181865891
360.4019632073009470.8039264146018940.598036792699053
370.594909354495940.8101812910081210.40509064550406
380.5401715334273530.9196569331452940.459828466572647
390.5015803223364740.9968393553270520.498419677663526
400.464233656904390.928467313808780.53576634309561
410.4771507954790950.954301590958190.522849204520905
420.4456246037575650.891249207515130.554375396242435
430.4679113460726940.9358226921453870.532088653927306
440.4860170173657170.9720340347314340.513982982634283
450.4413793085279180.8827586170558360.558620691472082
460.390612032881630.781224065763260.60938796711837
470.3907070903683770.7814141807367550.609292909631623
480.3552160325143430.7104320650286860.644783967485657
490.3675921401318350.7351842802636690.632407859868165
500.3429167977263750.685833595452750.657083202273625
510.3140805146190830.6281610292381650.685919485380918
520.2857091001228510.5714182002457020.714290899877149
530.3768472514158740.7536945028317480.623152748584126
540.3459279580651820.6918559161303650.654072041934818
550.3090598247053750.618119649410750.690940175294625
560.2679389123706040.5358778247412070.732061087629396
570.2311852420611880.4623704841223770.768814757938812
580.2363352073415960.4726704146831910.763664792658404
590.2389181025551510.4778362051103020.761081897444849
600.2519052570836940.5038105141673880.748094742916306
610.4667592252723310.9335184505446620.533240774727669
620.4215106966982090.8430213933964180.578489303301791
630.3782061442179220.7564122884358440.621793855782078
640.3466228215558240.6932456431116490.653377178444176
650.3249270315277610.6498540630555210.675072968472239
660.2964252269037990.5928504538075970.703574773096202
670.3508650611659630.7017301223319270.649134938834037
680.3096222052865590.6192444105731180.690377794713441
690.2699785231977650.539957046395530.730021476802235
700.2370208739003420.4740417478006840.762979126099658
710.202943621891630.4058872437832590.79705637810837
720.1893047865401170.3786095730802330.810695213459883
730.1600740586951580.3201481173903170.839925941304842
740.155657763958960.3113155279179190.84434223604104
750.1392873335219680.2785746670439360.860712666478032
760.2294932307142070.4589864614284140.770506769285793
770.1962811439601850.392562287920370.803718856039815
780.2191565176058650.4383130352117310.780843482394135
790.1877172275006710.3754344550013430.812282772499329
800.1957325614672070.3914651229344140.804267438532793
810.1736084146868130.3472168293736270.826391585313187
820.1634457184291930.3268914368583870.836554281570807
830.1737061809967940.3474123619935880.826293819003206
840.1480857410740150.2961714821480310.851914258925984
850.1266818858423310.2533637716846620.873318114157669
860.1069738987058050.213947797411610.893026101294195
870.08803600257749450.1760720051549890.911963997422505
880.07539485862777160.1507897172555430.924605141372228
890.06564476441126770.1312895288225350.934355235588732
900.2294849824816920.4589699649633830.770515017518308
910.1990908846896930.3981817693793850.800909115310307
920.1887516392077210.3775032784154420.811248360792279
930.1594649135916820.3189298271833650.840535086408318
940.1496534542341310.2993069084682630.850346545765869
950.1424957629362880.2849915258725760.857504237063712
960.1263661867716440.2527323735432870.873633813228356
970.1337373214373740.2674746428747480.866262678562626
980.1127068585790430.2254137171580870.887293141420957
990.09528881126296370.1905776225259270.904711188737036
1000.1011504761665560.2023009523331120.898849523833444
1010.09870865164454350.1974173032890870.901291348355456
1020.1015545499117610.2031090998235220.898445450088239
1030.08644589856135120.1728917971227020.913554101438649
1040.07859952147710520.157199042954210.921400478522895
1050.07645338902633740.1529067780526750.923546610973663
1060.1163267252966480.2326534505932950.883673274703352
1070.1027529229507120.2055058459014240.897247077049288
1080.09644912628737420.1928982525747480.903550873712626
1090.08330723515217850.1666144703043570.916692764847821
1100.4294934074098910.8589868148197820.570506592590109
1110.3827089258915860.7654178517831720.617291074108414
1120.3482063481097290.6964126962194590.651793651890271
1130.3151721883313660.6303443766627320.684827811668634
1140.2882483408913690.5764966817827380.711751659108631
1150.2559148377768090.5118296755536180.744085162223191
1160.2414434878788090.4828869757576180.758556512121191
1170.2040009535905560.4080019071811120.795999046409444
1180.1704472172641770.3408944345283550.829552782735823
1190.1824805558751270.3649611117502540.817519444124873
1200.1596198760705190.3192397521410380.840380123929481
1210.1368502644308580.2737005288617160.863149735569142
1220.1100483083524710.2200966167049410.889951691647529
1230.0950976668174540.1901953336349080.904902333182546
1240.1497851478706770.2995702957413540.850214852129323
1250.1314010018421340.2628020036842670.868598998157866
1260.116401875993150.23280375198630.88359812400685
1270.1778625048471430.3557250096942850.822137495152857
1280.1711050012682740.3422100025365490.828894998731726
1290.1481910302122920.2963820604245830.851808969787708
1300.1187015898376090.2374031796752180.881298410162391
1310.1069845074091140.2139690148182290.893015492590886
1320.1738698985012890.3477397970025780.826130101498711
1330.1935798400006290.3871596800012580.806420159999371
1340.1638047061816860.3276094123633720.836195293818314
1350.1332826183743180.2665652367486350.866717381625682
1360.1030746616458350.206149323291670.896925338354165
1370.4032642584896240.8065285169792470.596735741510376
1380.3404569116309980.6809138232619960.659543088369002
1390.3429744070861340.6859488141722690.657025592913866
1400.3084593785487150.6169187570974310.691540621451285
1410.2754287853329290.5508575706658590.724571214667071
1420.2723146391613760.5446292783227510.727685360838624
1430.2126560232677080.4253120465354150.787343976732292
1440.1780186502800390.3560373005600780.821981349719961
1450.1346356518182960.2692713036365910.865364348181704
1460.1391422291277990.2782844582555970.860857770872201
1470.1082525689538410.2165051379076830.891747431046159
1480.07444479322783380.1488895864556680.925555206772166
1490.06512636016128620.1302527203225720.934873639838714
1500.08734917608542230.1746983521708450.912650823914578
1510.06971378768946150.1394275753789230.930286212310539
1520.05489520534198840.1097904106839770.945104794658012
1530.1513506832052920.3027013664105840.848649316794708
1540.08326790798649350.1665358159729870.916732092013506


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level10.00680272108843537OK
10% type I error level30.0204081632653061OK