Multiple Linear Regression - Estimated Regression Equation
Intercept[t] = + 2.55290742861106 + 0.69169552328498Expect[t] + 0.216573604373535Critisism[t] -0.000708867555636805Concerns[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.552907428611060.6878763.71130.0002870.000143
Expect0.691695523284980.0850458.133300
Critisism0.2165736043735350.0908752.38320.0183740.009187
Concerns-0.0007088675556368050.034953-0.02030.9838450.491923


Multiple Linear Regression - Regression Statistics
Multiple R0.612388905419877
R-squared0.375020171481355
Adjusted R-squared0.362923787703574
F-TEST (value)31.0026681007118
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value8.88178419700125e-16
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.37504120899082
Sum Squared Residuals293.064440595554


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
15.57.84891146896424-2.34891146896424
23.56.51604121895583-3.01604121895583
38.56.128413600504032.37158639949597
456.17747752857748-1.17747752857748
566.51694548221924-0.516945482219236
665.736337381010630.263662618989368
75.54.88229019237550.617709807624496
85.57.12043729513623-1.62043729513623
965.833047502046260.166952497953739
106.55.783274706417170.716725293582827
1177.80268301111333-0.802683011113334
1287.450260045762340.549739954237658
135.57.10744315005017-1.60744315005017
1456.1760597934662-1.1760597934662
155.56.03379094875848-0.533790948758483
167.54.504625853079442.99537414692056
174.56.66701187003896-2.16701187003896
185.56.03308208120285-0.533082081202846
198.55.928339887970622.57166011202938
208.57.840209662588830.659790337411174
215.56.96001683674522-1.46001683674522
2297.984605109963461.01539489003654
2378.0518206517202-1.0518206517202
2456.80195751010572-1.80195751010572
255.56.22583258909529-0.725832589095292
267.56.430159506962521.06984049303748
277.55.581783258772491.91821674122751
286.56.66630300248332-0.166303002483325
2986.714658063001141.28534193699886
306.55.437426944774681.06257305522532
314.55.77595150177621-1.27595150177621
3299.2799878418732-0.279987841873201
3395.526852994546173.47314700545383
3466.17019345731334-0.170193457313338
358.56.474970229702152.02502977029785
364.56.16216138511674-1.66216138511674
374.56.20130116741127-1.70130116741127
3864.899537542795381.10046245720462
3998.23583021986040.764169780139596
4066.17090232486897-0.170902324868975
4197.399739249200791.60026075079921
4276.714658063001140.285341936998861
437.56.180312998800021.31968700119998
4485.090870315576562.90912968442344
4556.27347878205747-1.27347878205747
465.56.03166434609157-0.531664346091572
4776.966592040453720.0334079595462771
484.56.207680975412-1.707680975412
4966.70379052058199-0.703790520581991
508.56.072735335345252.42726466465475
512.55.18100523290368-2.68100523290368
5266.1760597934662-0.176059793466204
5366.26851670916801-0.268516709168012
5434.45481392407353-1.45481392407353
551210.80915293755221.19084706244776
5666.56297854436237-0.562978544362369
5766.36951916891429-0.369519168914286
5875.440262414997231.55973758500277
593.54.50746132330199-1.00746132330199
606.55.982600418018120.517399581981879
6166.4700081568127-0.470008156812695
626.55.630886320222770.869113679777235
6375.879275959897161.12072404010284
6446.52190755510869-2.52190755510869
655.54.753724360309480.746275639690521
664.55.66908270587707-1.16908270587707
675.56.79983090743881-1.29983090743881
686.56.225123721539650.274876278460345
6955.05192592898979-0.0519259289897912
705.56.27135217939056-0.771352179390559
7166.3117143010886-0.311714301088597
724.55.87714935723025-1.37714935723025
737.57.100867946341670.399132053658332
7497.744878143287651.25512185671235
757.55.871991888633031.62800811136697
7666.41291215654264-0.412912156542643
776.55.244676436882241.25532356311776
7876.664885267372050.335114732627949
7956.22441485398402-1.22441485398402
806.55.968702009668650.531297990331346
816.57.11027862027272-0.610278620272718
825.56.17889526368875-0.678895263688751
836.56.324708446174660.175291553825344
8486.964465437786811.03553456221319
8545.38033094450463-1.38033094450463
8685.976025214309622.02397478569038
875.55.284329691024640.215670308975362
884.56.03237321364721-1.53237321364721
8988.73123089747475-0.731230897474754
9065.87218728434080.127812715659203
9176.562269676806730.437730323193268
9245.0981543868407-1.0981543868407
934.55.04393299017002-0.543932990170015
947.55.676405910518031.82359408948197
955.56.91823697993591-1.41823697993591
9610.58.187475159342592.31252484065741
9777.14638753663693-0.146387536636935
9898.09001703737450.909982962625501
9965.87998482745280.120015172547199
1006.56.37164577158120.128354228418803
1017.57.110987487828350.389012512171645
10265.337842220139680.662157779860318
1039.56.964465437786812.53553456221319
1047.56.86988191941810.630118080581906
1055.57.10673428249453-1.60673428249453
1065.55.472826993583260.0271730064167366
10755.97744294942089-0.977442949420892
1086.57.15438047545671-0.654380475456711
1097.57.55074903366075-0.0507490336607508
11065.429629401662680.570370598337322
11165.589815330969090.41018466903091
11288.03953537418977-0.0395353741897737
1134.57.36083399599085-2.86083399599085
11497.550749033660751.44925096633925
11546.78187360475788-2.78187360475788
1166.55.046059592836931.45394040716307
1178.56.223705986428382.27629401357162
1184.55.43742694477468-0.937426944774683
1197.56.86330671570960.636693284290408
12044.88725226526496-0.887252265264962
1213.55.32039947401203-1.82039947401203
12265.637461523931270.362538476068732
12377.40848018895303-0.40848018895303
12435.34351316058478-2.34351316058478
12545.8799848274528-1.8799848274528
1268.56.273478782057472.22652121794253
12754.65181763729980.348182362700204
1285.56.2741876496131-0.774187649613106
12976.52403415777560.475965842224396
1305.56.89795876358571-1.39795876358571
1316.57.40848018895303-0.90848018895303
13266.07651420220803-0.0765142022080275
1335.55.09370578579910.406294214200897
1344.54.69666749341625-0.196667493416252
13566.32258184350774-0.322581843507745
136107.253256332536082.74674366746392
13765.477984462180490.522015537819508
1386.56.52190755510869-0.0219075551086936
13966.47284362703524-0.472843627035242
14068.10017571223801-2.10017571223801
1414.57.1015768138973-2.6015768138973
1427.57.448842310651070.0511576893489317
1431210.61427582699291.38572417300712
1443.55.28503855858028-1.78503855858028
1458.57.360125128435221.13987487156478
1465.56.01493046751956-0.514930467519559
1478.57.149223006859481.35077699314052
1485.55.92621328530371-0.426213285303706
14966.42874177185125-0.428741771851249
15077.05696148686545-0.0569614868654453
1515.56.61861767614432-1.11861767614432
15286.654726592508541.34527340749146
15310.56.795343173020393.70465682697961
15475.678532513184941.32146748681506
155107.997046649824832.00295335017517
1566.55.43388260699651.0661173930035
1575.56.65614432761981-1.15614432761981
1587.57.060505824643630.43949417535637
1599.59.57086620591255-0.0708662059125495


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.6786423832152410.6427152335695180.321357616784759
80.653821856162520.692356287674960.34617814383748
90.5258284156204280.9483431687591430.474171584379572
100.4058960068081180.8117920136162360.594103993191882
110.4815939465572140.9631878931144280.518406053442786
120.7360188641730780.5279622716538450.263981135826922
130.6695527852608650.660894429478270.330447214739135
140.6220506810657160.7558986378685690.377949318934284
150.5428156157821980.9143687684356050.457184384217802
160.5929661882908650.8140676234182690.407033811709135
170.605199738370850.7896005232583010.39480026162915
180.5413673099140120.9172653801719750.458632690085988
190.6690081212191360.6619837575617270.330991878780864
200.7489406761632120.5021186476735760.251059323836788
210.7447197216356740.5105605567286520.255280278364326
220.7857699205484940.4284601589030120.214230079451506
230.7581565497273560.4836869005452880.241843450272644
240.7987056135666650.402588772866670.201294386433335
250.7600334058168110.4799331883663770.239966594183189
260.754378528829260.491242942341480.24562147117074
270.7542818411823140.4914363176353730.245718158817686
280.7040790927289960.5918418145420070.295920907271004
290.718676655457170.5626466890856590.281323344542829
300.6746098240349230.6507803519301530.325390175965077
310.709556978713350.5808860425733010.29044302128665
320.714348754875490.5713024902490210.285651245124511
330.8619782429110440.2760435141779130.138021757088956
340.8319405210741220.3361189578517550.168059478925878
350.8708062834833350.2583874330333310.129193716516665
360.8880853365903650.2238293268192710.111914663409635
370.895963232868620.2080735342627610.10403676713138
380.8767074741297530.2465850517404940.123292525870247
390.8864807801361290.2270384397277430.113519219863871
400.8595602952092350.280879409581530.140439704790765
410.8824312030806270.2351375938387460.117568796919373
420.8565863664593630.2868272670812740.143413633540637
430.8449353308364980.3101293383270040.155064669163502
440.9029768878496920.1940462243006170.0970231121503083
450.9042778086938620.1914443826122750.0957221913061377
460.8885532196232240.2228935607535520.111446780376776
470.8627663837695570.2744672324608860.137233616230443
480.876208172050720.2475836558985590.12379182794928
490.8540820911677040.2918358176645910.145917908832296
500.89890658127460.20218683745080.1010934187254
510.955539645502410.08892070899518160.0444603544975908
520.9436319524671190.1127360950657630.0563680475328813
530.9291059111023280.1417881777953440.0708940888976721
540.9442615504429450.1114768991141110.0557384495570553
550.949120531919440.1017589361611210.0508794680805603
560.9373776369937330.1252447260125330.0626223630062665
570.9223978659881640.1552042680236720.077602134011836
580.9238637856595340.1522724286809310.0761362143404655
590.9218536173794470.1562927652411060.0781463826205531
600.9057609360067420.1884781279865160.094239063993258
610.886626889945710.2267462201085790.113373110054289
620.8721339935864720.2557320128270560.127866006413528
630.8627872966040660.2744254067918680.137212703395934
640.9140560715449820.1718878569100360.085943928455018
650.9017031692533760.1965936614932480.0982968307466241
660.8948535504471660.2102928991056690.105146449552834
670.8936121463162330.2127757073675350.106387853683767
680.8718760810078120.2562478379843750.128123918992188
690.851296143114190.297407713771620.14870385688581
700.8311861890626170.3376276218747670.168813810937383
710.8039061511365420.3921876977269160.196093848863458
720.8024207013430370.3951585973139260.197579298656963
730.7765092251609750.446981549678050.223490774839025
740.7722031544297940.4555936911404130.227796845570206
750.7857315696090930.4285368607818150.214268430390907
760.7563356915446150.487328616910770.243664308455385
770.7565082366014690.4869835267970610.243491763398531
780.7227290692610440.5545418614779130.277270930738956
790.7135395062304840.5729209875390320.286460493769516
800.6784529202591840.6430941594816330.321547079740816
810.6442748350899480.7114503298201040.355725164910052
820.6117773174770340.7764453650459320.388222682522966
830.5686706860187950.862658627962410.431329313981205
840.5516700095615420.8966599808769160.448329990438458
850.5525995998085930.8948008003828140.447400400191407
860.6095892798388880.7808214403222240.390410720161112
870.5658138219723260.8683723560553490.434186178027674
880.5725406133832070.8549187732335860.427459386616793
890.5484536026250140.9030927947499720.451546397374986
900.5054002392217630.9891995215564750.494599760778237
910.4638143793247860.9276287586495720.536185620675214
920.4428424208459640.8856848416919280.557157579154036
930.4029424764284670.8058849528569350.597057523571533
940.4379422054077730.8758844108155470.562057794592227
950.4359065069039410.8718130138078820.564093493096059
960.5113013605902010.9773972788195970.488698639409798
970.470380888061230.940761776122460.52961911193877
980.440727704743270.881455409486540.55927229525673
990.3959989755061790.7919979510123570.604001024493821
1000.3520421069275310.7040842138550620.647957893072469
1010.3129663242698750.6259326485397510.687033675730125
1020.2833827867945620.5667655735891240.716617213205438
1030.3954947619885650.790989523977130.604505238011435
1040.3662586181530940.7325172363061870.633741381846906
1050.3886262722927580.7772525445855160.611373727707242
1060.3468825511660040.6937651023320090.653117448833996
1070.3194562219338910.6389124438677820.680543778066109
1080.2914379313018890.5828758626037780.708562068698111
1090.2522828487403670.5045656974807330.747717151259633
1100.2193425117777830.4386850235555660.780657488222217
1110.1920763886278530.3841527772557050.807923611372147
1120.1629593927763670.3259187855527330.837040607223633
1130.2711844305149940.5423688610299870.728815569485006
1140.2631813611255680.5263627222511350.736818638874432
1150.3680858107336660.7361716214673320.631914189266334
1160.4010653717388430.8021307434776860.598934628261157
1170.4967860488077080.9935720976154170.503213951192292
1180.4580672500914820.9161345001829640.541932749908518
1190.4207816662498270.8415633324996540.579218333750173
1200.3839282270597320.7678564541194640.616071772940268
1210.4458007606507040.8916015213014080.554199239349296
1220.4026800373504040.8053600747008070.597319962649596
1230.3522445557503840.7044891115007680.647755444249616
1240.3924910206433420.7849820412866840.607508979356658
1250.4252667145061830.8505334290123650.574733285493817
1260.5286705699077880.9426588601844240.471329430092212
1270.5046917885224530.9906164229550940.495308211477547
1280.4519309375707870.9038618751415750.548069062429213
1290.4134345133407910.8268690266815830.586565486659209
1300.4875210969725520.9750421939451030.512478903027448
1310.4436882252455190.8873764504910380.556311774754481
1320.3855279855325350.771055971065070.614472014467465
1330.3715356740184030.7430713480368050.628464325981597
1340.3141217341764720.6282434683529440.685878265823528
1350.2578091153958110.5156182307916210.742190884604189
1360.3644973753281760.7289947506563510.635502624671824
1370.3056544165024670.6113088330049340.694345583497533
1380.2489341833785910.4978683667571810.751065816621409
1390.1977861204739860.3955722409479730.802213879526014
1400.24099755655910.4819951131181990.7590024434409
1410.5548562159629870.8902875680740260.445143784037013
1420.4928715947378310.9857431894756620.507128405262169
1430.4266822336438540.8533644672877070.573317766356146
1440.4886319108760810.9772638217521620.511368089123919
1450.4665703393839420.9331406787678840.533429660616058
1460.4955347641078090.9910695282156190.504465235892191
1470.4006969380585380.8013938761170750.599303061941462
1480.3237590556659060.6475181113318120.676240944334094
1490.2296412028564090.4592824057128180.770358797143591
1500.1705471287823440.3410942575646870.829452871217656
1510.1501689385346060.3003378770692110.849831061465394
1520.08183239906844310.1636647981368860.918167600931557


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 level10.00684931506849315OK