Multiple Linear Regression - Estimated Regression Equation
Doubts[t] = + 7.37200247283272 + 0.246240482864769Concern[t] -0.112243025930271Expectations[t] + 0.144715731741287Criticism[t] -0.191116446549504Standards[t] + 0.107741225800187Organization[t] + 0.000776734503210637Time[t] + 0.000750661646830256t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.372002472832721.6890274.36462.4e-051.2e-05
Concern0.2462404828647690.0400736.144800
Expectations-0.1122430259302710.073895-1.5190.1308630.065432
Criticism0.1447157317412870.0927011.56110.1205920.060296
Standards-0.1911164465495040.056737-3.36850.0009590.00048
Organization0.1077412258001870.0577121.86690.063860.03193
Time0.0007767345032106370.0004791.62130.1070490.053525
t0.0007506616468302560.0044430.1690.8660540.433027


Multiple Linear Regression - Regression Statistics
Multiple R0.503046862684808
R-squared0.253056146057028
Adjusted R-squared0.218429609781526
F-TEST (value)7.30815649719095
F-TEST (DF numerator)7
F-TEST (DF denominator)151
p-value1.51923045033087e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.47584311691768
Sum Squared Residuals925.599670077885


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11412.18346016966211.81653983033794
21111.7291264973210-0.729126497321018
367.98610924770742-1.98610924770742
41210.86062632970471.13937367029531
589.8033961448324-1.80339614483241
61010.2304044517430-0.230404451742978
7109.668227149569260.331772850430744
8119.653400244468391.34659975553161
91610.74592086420025.25407913579983
10119.9700490993181.02995090068200
111312.33269669162680.667303308373247
121212.8998673640540-0.89986736405405
13812.8855005989489-4.88550059894887
141210.57108918027301.42891081972697
15119.10992252559261.89007747440740
1647.21077097461015-3.21077097461015
17910.9171899258221-1.91718992582208
1889.7456502414804-1.7456502414804
1989.9171569427426-1.91715694274260
201412.65728660843301.34271339156703
211512.17245680812042.82754319187957
221613.59422677486382.4057732251362
23911.6190846241025-2.61908462410249
241414.3115767091764-0.311576709176407
251111.3330084563338-0.333008456333843
2689.28093981183246-1.28093981183246
2799.4967210399075-0.496721039907497
28911.5518815219408-2.55188152194075
29910.4032374192336-1.40323741923359
3099.40547456644657-0.405474566446572
311011.7507809092979-1.75078090929788
321611.68286884648784.31713115351218
33119.078111523764471.92188847623553
3489.9229267634327-1.92292676343270
3598.768217826437920.231782173562084
361613.23258844977792.76741155022207
371112.5957102683807-1.59571026838072
38169.532584554266566.46741544573344
391212.5847062949031-0.58470629490306
401210.39393636938791.60606363061212
411412.40956723996431.59043276003568
42910.4190090367503-1.41900903675034
431010.5891299496888-0.589129949688844
4498.389143578357630.610856421642369
451010.0403672891197-0.0403672891196706
461210.19781955407361.80218044592644
471411.47558519531412.52441480468592
481412.03896561623851.9610343837615
491012.2465516266846-2.24655162668464
501410.05589399906383.94410600093617
511612.13620126301933.86379873698067
52910.3922362374602-1.39223623746017
531011.4773855068891-1.47738550688911
5469.0177119797914-3.0177119797914
55811.1789000945013-3.17890009450128
561312.40171502088240.598284979117642
571010.7898717002451-0.789871700245069
5888.96283140188007-0.962831401880073
5979.25694746175693-2.25694746175693
60159.908062639274575.09193736072543
6199.81897485537058-0.818974855370582
621010.2099365775581-0.209936577558119
631210.11421167659091.88578832340906
641310.48438476455862.51561523544141
65108.502204813264921.49779518673508
661111.7625765806314-0.762576580631354
67813.5289794575842-5.52897945758425
6899.10633997104052-0.106339971040520
69138.579603971686424.42039602831358
701110.39031390857270.609686091427253
71812.8045536740804-4.80455367408039
72910.9704608563897-1.97046085638975
73912.2017089885203-3.20170898852031
741512.30875672215992.69124327784007
75911.0628672224010-2.06286722240102
761011.5301917475851-1.53019174758505
77148.865522093851835.13447790614817
781210.8646320993441.13536790065601
791211.08047855029790.91952144970213
801111.5483834247285-0.54838342472852
811411.49268314540942.50731685459055
82611.5282694894414-5.52826948944138
831211.29674817596790.703251824032116
84810.0126283691346-2.01262836913456
851412.41821617781821.58178382218176
861110.89470512632730.105294873672674
87109.897092806781640.102907193218359
881410.18484045789543.81515954210463
891211.89780100944620.102198990553771
901011.0066486559064-1.0066486559064
911412.92606782188761.07393217811242
9259.00942414101454-4.00942414101454
931110.42806747737860.571932522621375
941010.3728681357444-0.372868135744375
95911.4076989366278-2.40769893662784
961011.2631304881262-1.26313048812616
971615.07583827431300.924161725686956
981312.71127589699520.288724103004823
99910.9036759588938-1.90367595889379
1001011.3479025178351-1.34790251783514
1011010.8964411413978-0.89644114139782
10279.47698287532637-2.47698287532637
10399.63410104368921-0.634101043689212
104810.2274354051664-2.22743540516638
1051412.78375018590601.21624981409404
1061411.67685256683052.32314743316949
107811.0409974668779-3.04099746687787
108911.5048553779584-2.50485537795842
1091411.76226470677752.23773529322248
1101410.74546449335693.25453550664308
11189.81482863846308-1.81482863846308
112813.5957407940626-5.59574079406258
113811.3570136310421-3.35701363104209
11478.51540641828066-1.51540641828066
11567.38974117664732-1.38974117664732
11689.38061343658819-1.38061343658819
11768.2954819242119-2.29548192421190
118119.882949317753681.11705068224632
1191411.81473064911652.18526935088353
1201111.1190391304871-0.119039130487054
1211112.0269338103830-1.02693381038302
122119.216532469198371.78346753080163
1231410.37514378668233.6248562133177
124810.3750239515906-2.37502395159064
1252011.45070460739498.54929539260508
1261110.28995221441520.710047785584832
12789.15846684277333-1.15846684277333
1281110.70715383781400.292846162186044
1291010.6145568450023-0.614556845002299
1301413.60880468897510.391195311024858
1311110.50996039191540.490039608084616
132910.6584532813280-1.65845328132801
13399.70305356253355-0.703053562533552
134810.1840622050912-2.18406220509122
1351012.0332842234449-2.03328422344490
1361310.66677241950242.33322758049756
1371310.29806276697322.70193723302678
138129.331789741649442.66821025835056
139810.3257955333565-2.32579553335650
1401310.96851032545892.03148967454110
1411412.46394934133821.53605065866184
1421211.64235801168210.357641988317876
1431410.8480906288263.15190937117401
1441511.29710376343193.70289623656807
1451314.1486057103926-1.14860571039262
1461611.78975592886894.21024407113107
147911.9371046681444-2.93710466814438
148910.4734556020534-1.47345560205345
149911.0791517421074-2.07915174210738
150811.3491347681088-3.34913476810879
151710.0224993475039-3.02249934750387
1521611.92102912897024.07897087102981
1531113.2274887277504-2.22748872775040
15499.9950294252709-0.9950294252709
155119.759655061331771.24034493866823
15699.8524503972167-0.852450397216694
1571412.49931079624071.50068920375927
1581311.01987373256591.98012626743408
1591614.27279313245081.72720686754919


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.3204326073753530.6408652147507060.679567392624647
120.1935141710419890.3870283420839790.80648582895801
130.8379448510243020.3241102979513960.162055148975698
140.8205878536940020.3588242926119950.179412146305998
150.7853479177986520.4293041644026960.214652082201348
160.7842430211402150.4315139577195690.215756978859784
170.7081170771753940.5837658456492130.291882922824606
180.6853511225399590.6292977549200820.314648877460041
190.6056321113102440.7887357773795130.394367888689756
200.6810979027679410.6378041944641180.318902097232059
210.6870663282876680.6258673434246640.312933671712332
220.6723764544035280.6552470911929440.327623545596472
230.6481451338978870.7037097322042250.351854866102113
240.5980726613422010.8038546773155980.401927338657799
250.5281737323489020.9436525353021960.471826267651098
260.4577688607607470.9155377215214940.542231139239253
270.3879551745653970.7759103491307950.612044825434603
280.3616560167363440.7233120334726890.638343983263656
290.3031297967037670.6062595934075340.696870203296233
300.253564103276060.507128206552120.74643589672394
310.2154950502048490.4309901004096990.78450494979515
320.3247068143943730.6494136287887450.675293185605627
330.2950686174662050.590137234932410.704931382533795
340.2668203713444310.5336407426888620.733179628655569
350.2182767964080350.4365535928160690.781723203591965
360.1861745255211950.3723490510423910.813825474478805
370.1573916545140990.3147833090281990.8426083454859
380.3736011694098190.7472023388196380.626398830590181
390.4017666608684050.803533321736810.598233339131595
400.3787251640057740.7574503280115490.621274835994226
410.3590314646157450.718062929231490.640968535384255
420.3208534430737320.6417068861474640.679146556926268
430.2768069729459490.5536139458918990.72319302705405
440.2365515763983010.4731031527966010.7634484236017
450.1967290904049250.393458180809850.803270909595075
460.1700875783969440.3401751567938890.829912421603056
470.1697931743421430.3395863486842860.830206825657857
480.1670265412722590.3340530825445170.832973458727741
490.1663451013831630.3326902027663260.833654898616837
500.1846577189560650.369315437912130.815342281043935
510.2470504165386270.4941008330772540.752949583461373
520.231795051027020.463590102054040.76820494897298
530.2102030848938550.420406169787710.789796915106145
540.2360834299117460.4721668598234910.763916570088254
550.2531352138819970.5062704277639940.746864786118003
560.2161741244182290.4323482488364590.78382587558177
570.183178292879220.366356585758440.81682170712078
580.1583483446582170.3166966893164330.841651655341783
590.1548026394428180.3096052788856370.845197360557182
600.2482174600585790.4964349201171580.751782539941421
610.2114974772311500.4229949544622990.78850252276885
620.1780273734662120.3560547469324240.821972626533788
630.1730799666080470.3461599332160940.826920033391953
640.1807424640546430.3614849281092850.819257535945357
650.1583743209035490.3167486418070980.84162567909645
660.1316088847827230.2632177695654450.868391115217277
670.257495083954970.514990167909940.74250491604503
680.2203662721328680.4407325442657350.779633727867132
690.3240036073389520.6480072146779040.675996392661048
700.2871020974684460.5742041949368930.712897902531553
710.4167211303237420.8334422606474840.583278869676258
720.4174932412080760.8349864824161510.582506758791924
730.4225878301127120.8451756602254250.577412169887288
740.4625460159315660.9250920318631310.537453984068434
750.4347100121081210.8694200242162420.565289987891879
760.4004957432539370.8009914865078750.599504256746062
770.5897441237994220.8205117524011550.410255876200578
780.560563310831190.878873378337620.43943668916881
790.5233754405809440.9532491188381120.476624559419056
800.4766481055791090.9532962111582180.523351894420891
810.4822027763124220.9644055526248440.517797223687578
820.6505881278503540.6988237442992920.349411872149646
830.6126544157907540.7746911684184910.387345584209246
840.585845396566670.8283092068666610.414154603433331
850.5620318331751670.8759363336496660.437968166824833
860.5202279460742370.9595441078515250.479772053925763
870.4763998627855020.9527997255710030.523600137214498
880.5765311541396460.8469376917207080.423468845860354
890.5324607731595420.9350784536809150.467539226840458
900.4899273244343270.9798546488686540.510072675565673
910.4603145831793470.9206291663586950.539685416820653
920.5064400208099370.9871199583801260.493559979190063
930.472142260543570.944284521087140.52785773945643
940.4306246926261630.8612493852523260.569375307373837
950.4112892373292930.8225784746585860.588710762670707
960.3669170684299770.7338341368599540.633082931570023
970.3530284766776610.7060569533553210.646971523322339
980.3134251207948560.6268502415897130.686574879205143
990.2843840312625960.5687680625251930.715615968737404
1000.2478986165910040.4957972331820080.752101383408996
1010.2111131646227650.4222263292455300.788886835377235
1020.1944807652737160.3889615305474310.805519234726284
1030.1621883831874410.3243767663748830.837811616812559
1040.1461509662671200.2923019325342400.85384903373288
1050.1288083622543560.2576167245087120.871191637745644
1060.1358255600331860.2716511200663720.864174439966814
1070.134839615749290.269679231498580.86516038425071
1080.1288994477032200.2577988954064410.87110055229678
1090.1286923445368060.2573846890736110.871307655463194
1100.1690079854073830.3380159708147650.830992014592617
1110.1432436485190620.2864872970381230.856756351480938
1120.2993493908245460.5986987816490920.700650609175454
1130.3827495901722320.7654991803444650.617250409827768
1140.3514716574334640.7029433148669290.648528342566536
1150.3406236687865280.6812473375730550.659376331213472
1160.2999778204211480.5999556408422950.700022179578852
1170.3007749821086670.6015499642173340.699225017891333
1180.2627109896107030.5254219792214070.737289010389297
1190.2385129836369450.477025967273890.761487016363055
1200.1979825930025820.3959651860051650.802017406997418
1210.1889458467158920.3778916934317850.811054153284108
1220.1683711400298510.3367422800597020.83162885997015
1230.1741868844067680.3483737688135370.825813115593232
1240.1882003940888420.3764007881776850.811799605911158
1250.7343472534054690.5313054931890620.265652746594531
1260.6951935082597180.6096129834805630.304806491740282
1270.6394749396361110.7210501207277780.360525060363889
1280.5775164227470.8449671545060.422483577253
1290.5123487845308040.9753024309383930.487651215469196
1300.4499309984285780.8998619968571560.550069001571422
1310.3927132939458550.7854265878917110.607286706054145
1320.338930841221450.67786168244290.66106915877855
1330.2785618766095880.5571237532191770.721438123390412
1340.2437850797807720.4875701595615450.756214920219228
1350.2378485700929950.475697140185990.762151429907005
1360.2027804648023160.4055609296046320.797219535197684
1370.2189495807604200.4378991615208390.78105041923958
1380.2369032896769960.4738065793539920.763096710323004
1390.2285321341370170.4570642682740340.771467865862983
1400.1749468959603840.3498937919207670.825053104039617
1410.1268082131930470.2536164263860940.873191786806953
1420.09133362535390540.1826672507078110.908666374646095
1430.1209166309238120.2418332618476250.879083369076188
1440.1319735812173820.2639471624347640.868026418782618
1450.1101588667377370.2203177334754750.889841133262263
1460.3063150293443640.6126300586887280.693684970655636
1470.2029418450686560.4058836901373120.797058154931344
1480.1401024783599680.2802049567199350.859897521640032


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 level00OK