Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis[t] = + 0.184485190409027 -0.0406205923836389Treatment[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.1844851904090270.0557273.31050.0011630.000582
Treatment-0.04062059238363890.019607-2.07170.039980.01999


Multiple Linear Regression - Regression Statistics
Multiple R0.165716049118418
R-squared0.0274618089354179
Adjusted R-squared0.0210635313626245
F-TEST (value)4.29206276579664
F-TEST (DF numerator)1
F-TEST (DF denominator)152
p-value0.0399804472617082
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.266076165543606
Sum Squared Residuals10.761071932299


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.143864598025388-0.143864598025388
200.103244005641749-0.103244005641749
300.103244005641749-0.103244005641749
400.103244005641749-0.103244005641749
500.103244005641749-0.103244005641749
600.103244005641749-0.103244005641749
700.103244005641749-0.103244005641749
800.143864598025388-0.143864598025388
900.103244005641749-0.103244005641749
1000.103244005641749-0.103244005641749
1100.143864598025388-0.143864598025388
1200.103244005641749-0.103244005641749
1300.103244005641749-0.103244005641749
1400.143864598025388-0.143864598025388
1500.103244005641749-0.103244005641749
1600.143864598025388-0.143864598025388
1710.1438645980253880.856135401974612
1800.143864598025388-0.143864598025388
1900.103244005641749-0.103244005641749
2010.1438645980253880.856135401974612
2100.103244005641749-0.103244005641749
2200.103244005641749-0.103244005641749
2300.103244005641749-0.103244005641749
2400.103244005641749-0.103244005641749
2500.143864598025388-0.143864598025388
2600.103244005641749-0.103244005641749
2700.103244005641749-0.103244005641749
2800.103244005641749-0.103244005641749
2900.103244005641749-0.103244005641749
3000.103244005641749-0.103244005641749
3100.103244005641749-0.103244005641749
3200.103244005641749-0.103244005641749
3300.103244005641749-0.103244005641749
3400.143864598025388-0.143864598025388
3500.103244005641749-0.103244005641749
3600.103244005641749-0.103244005641749
3700.143864598025388-0.143864598025388
3800.103244005641749-0.103244005641749
3900.103244005641749-0.103244005641749
4000.143864598025388-0.143864598025388
4110.1032440056417490.896755994358251
4200.103244005641749-0.103244005641749
4300.103244005641749-0.103244005641749
4400.143864598025388-0.143864598025388
4500.103244005641749-0.103244005641749
4600.103244005641749-0.103244005641749
4700.103244005641749-0.103244005641749
4800.103244005641749-0.103244005641749
4900.103244005641749-0.103244005641749
5000.103244005641749-0.103244005641749
5100.143864598025388-0.143864598025388
5210.1438645980253880.856135401974612
5300.103244005641749-0.103244005641749
5410.1032440056417490.896755994358251
5500.103244005641749-0.103244005641749
5600.143864598025388-0.143864598025388
5700.103244005641749-0.103244005641749
5800.103244005641749-0.103244005641749
5900.103244005641749-0.103244005641749
6010.1438645980253880.856135401974612
6100.143864598025388-0.143864598025388
6200.103244005641749-0.103244005641749
6300.103244005641749-0.103244005641749
6400.143864598025388-0.143864598025388
6500.103244005641749-0.103244005641749
6600.103244005641749-0.103244005641749
6710.1438645980253880.856135401974612
6800.103244005641749-0.103244005641749
6900.103244005641749-0.103244005641749
7000.103244005641749-0.103244005641749
7100.103244005641749-0.103244005641749
7200.103244005641749-0.103244005641749
7300.103244005641749-0.103244005641749
7400.103244005641749-0.103244005641749
7500.103244005641749-0.103244005641749
7600.143864598025388-0.143864598025388
7700.103244005641749-0.103244005641749
7800.103244005641749-0.103244005641749
7910.1438645980253880.856135401974612
8000.143864598025388-0.143864598025388
8100.103244005641749-0.103244005641749
8200.103244005641749-0.103244005641749
8300.103244005641749-0.103244005641749
8410.1032440056417490.896755994358251
8500.103244005641749-0.103244005641749
8600.103244005641749-0.103244005641749
8700.0220028208744711-0.0220028208744711
8800.06262341325811-0.06262341325811
8900.0220028208744711-0.0220028208744711
9000.0220028208744711-0.0220028208744711
9100.0220028208744711-0.0220028208744711
9200.06262341325811-0.06262341325811
9300.0220028208744711-0.0220028208744711
9400.0220028208744711-0.0220028208744711
9500.06262341325811-0.06262341325811
9600.0220028208744711-0.0220028208744711
9700.06262341325811-0.06262341325811
9800.0220028208744711-0.0220028208744711
9900.0220028208744711-0.0220028208744711
10000.0220028208744711-0.0220028208744711
10100.0220028208744711-0.0220028208744711
10200.0220028208744711-0.0220028208744711
10300.0220028208744711-0.0220028208744711
10400.0220028208744711-0.0220028208744711
10500.06262341325811-0.06262341325811
10600.0220028208744711-0.0220028208744711
10700.0220028208744711-0.0220028208744711
10800.06262341325811-0.06262341325811
10900.0220028208744711-0.0220028208744711
11000.0220028208744711-0.0220028208744711
11100.06262341325811-0.06262341325811
11200.06262341325811-0.06262341325811
11300.0220028208744711-0.0220028208744711
11400.06262341325811-0.06262341325811
11500.0220028208744711-0.0220028208744711
11600.0220028208744711-0.0220028208744711
11700.0220028208744711-0.0220028208744711
11800.0220028208744711-0.0220028208744711
11900.0220028208744711-0.0220028208744711
12000.0220028208744711-0.0220028208744711
12100.0220028208744711-0.0220028208744711
12200.0220028208744711-0.0220028208744711
12300.06262341325811-0.06262341325811
12400.0220028208744711-0.0220028208744711
12500.0220028208744711-0.0220028208744711
12600.06262341325811-0.06262341325811
12700.0220028208744711-0.0220028208744711
12800.0220028208744711-0.0220028208744711
12900.0220028208744711-0.0220028208744711
13000.0220028208744711-0.0220028208744711
13100.0220028208744711-0.0220028208744711
13200.0220028208744711-0.0220028208744711
13300.0220028208744711-0.0220028208744711
13400.0220028208744711-0.0220028208744711
13500.0220028208744711-0.0220028208744711
13600.0220028208744711-0.0220028208744711
13700.0220028208744711-0.0220028208744711
13800.06262341325811-0.06262341325811
13900.06262341325811-0.06262341325811
14000.0220028208744711-0.0220028208744711
14110.02200282087447110.977997179125529
14200.06262341325811-0.06262341325811
14300.0220028208744711-0.0220028208744711
14400.0220028208744711-0.0220028208744711
14500.0220028208744711-0.0220028208744711
14600.06262341325811-0.06262341325811
14700.06262341325811-0.06262341325811
14800.06262341325811-0.06262341325811
14900.0220028208744711-0.0220028208744711
15000.0220028208744711-0.0220028208744711
15100.0220028208744711-0.0220028208744711
15210.02200282087447110.977997179125529
15310.02200282087447110.977997179125529
15400.0220028208744711-0.0220028208744711


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
5001
6001
7001
8001
9001
10001
11001
12001
13001
14001
15001
16001
170.2866545973474380.5733091946948760.713345402652562
180.2453761942929360.4907523885858710.754623805707064
190.1889033442234460.3778066884468930.811096655776554
200.7432643297530940.5134713404938120.256735670246906
210.6852197178452290.6295605643095420.314780282154771
220.6232651605903250.753469678819350.376734839409675
230.5589973606854040.8820052786291920.441002639314596
240.4941218076841270.9882436153682530.505878192315873
250.4758240210903350.951648042180670.524175978909665
260.4135532514187620.8271065028375240.586446748581238
270.3541602150335940.7083204300671890.645839784966406
280.2988065439047970.5976130878095950.701193456095203
290.2483544668721740.4967089337443480.751645533127826
300.2033485442826270.4066970885652530.796651455717374
310.1640268915720150.3280537831440310.835973108427985
320.1303556883030.2607113766060.869644311697
330.1020791850732420.2041583701464830.897920814926758
340.09398162396986540.1879632479397310.906018376030135
350.07241374914406750.1448274982881350.927586250855932
360.05501747332583470.1100349466516690.944982526674165
370.04886516504853440.09773033009706890.951134834951466
380.03651682762670440.07303365525340880.963483172373296
390.02692990157682540.05385980315365090.973070098423175
400.02314811109363920.04629622218727840.976851888906361
410.4289748735338320.8579497470676630.571025126466168
420.3812185813692910.7624371627385820.618781418630709
430.3355609601447410.6711219202894810.664439039855259
440.3078270107078390.6156540214156780.692172989292161
450.2670185103803190.5340370207606380.732981489619681
460.2294326704184180.4588653408368360.770567329581582
470.1952807226112050.390561445222410.804719277388795
480.1646563550348560.3293127100697130.835343644965144
490.1375468448695720.2750936897391450.862453155130428
500.113848296806010.227696593612020.88615170319399
510.1008544076047910.2017088152095820.899145592395209
520.4348459977654680.8696919955309360.565154002234532
530.3913618946024480.7827237892048960.608638105397552
540.8581493106383630.2837013787232740.141850689361637
550.832453624799030.335092750401940.16754637520097
560.8161040548983570.3677918902032870.183895945101643
570.7865868268568570.4268263462862860.213413173143143
580.7547292618137750.4905414763724510.245270738186225
590.7207595843535190.5584808312929610.279240415646481
600.9383832476796540.1232335046406910.0616167523203455
610.9312412625337460.1375174749325070.0687587374662536
620.9161201726404610.1677596547190790.0838798273595393
630.8987607860681670.2024784278636660.101239213931833
640.888619893446420.222760213107160.11138010655358
650.8679901790666540.2640196418666930.132009820933346
660.8451114447751980.3097771104496030.154888555224802
670.9768703581896170.04625928362076520.0231296418103826
680.9703258370122090.05934832597558220.0296741629877911
690.9623667183191510.07526656336169720.0376332816808486
700.9528156629243770.09436867415124630.0471843370756232
710.9415070178663660.1169859642672690.0584929821336344
720.9282970211682470.1434059576635060.0717029788317529
730.9130750886430860.1738498227138280.0869249113569142
740.8957757682985820.2084484634028370.104224231701418
750.8763908977920170.2472182044159660.123609102207983
760.8680810816247120.2638378367505750.131918918375288
770.8467870051581560.3064259896836890.153212994841844
780.8240728472651060.3518543054697880.175927152734894
790.9744093972713050.05118120545739080.0255906027286954
800.970508534839770.05898293032045960.0294914651602298
810.9624254626070980.07514907478580350.0375745373929017
820.9527914252123470.09441714957530660.0472085747876533
830.9415724636472870.1168550727054260.058427536352713
840.9992672371090020.00146552578199550.000732762890997749
850.9989150140573310.002169971885338650.00108498594266932
860.998418807190440.003162385619119590.00158119280955979
870.9981138085980410.003772382803917620.00188619140195881
880.9973055051389210.005388989722157770.00269449486107889
890.9965387238685520.006922552262895050.00346127613144752
900.9954435050440060.00911298991198840.0045564949559942
910.9939423985769960.01211520284600870.00605760142300434
920.991534135940610.01693172811877930.00846586405938966
930.988825620265820.02234875946836010.0111743797341801
940.9852964314430960.02940713711380840.0147035685569042
950.9800948207913760.03981035841724830.0199051792086242
960.9742274179063590.05154516418728230.0257725820936412
970.965905707441160.0681885851176810.0340942925588405
980.9566533183123460.08669336337530820.0433466816876541
990.945354233367820.109291533264360.05464576663218
1000.9317311197907690.1365377604184610.0682688802092307
1010.9155161815958750.168967636808250.084483818404125
1020.8964655187949390.2070689624101220.103534481205061
1030.8743749623249520.2512500753500960.125625037675048
1040.8490965077256120.3018069845487750.150903492274388
1050.8174261653114020.3651476693771960.182573834688598
1060.7852274981128610.4295450037742780.214772501887139
1070.7498589923976420.5002820152047160.250141007602358
1080.7072539789984550.585492042003090.292746021001545
1090.6658931726611360.6682136546777290.334106827338864
1100.6223318163775440.7553363672449110.377668183622456
1110.5718212212837380.8563575574325250.428178778716262
1120.5198257864978320.9603484270043360.480174213502168
1130.4725462521967240.9450925043934480.527453747803276
1140.4200900218586760.8401800437173510.579909978141324
1150.3740201945010560.7480403890021130.625979805498944
1160.3296293034621820.6592586069243640.670370696537818
1170.2874871079611710.5749742159223410.71251289203883
1180.2480726471664070.4961452943328130.751927352833593
1190.2117577129478170.4235154258956350.788242287052183
1200.1787974468650840.3575948937301670.821202553134917
1210.1493283659268710.2986567318537420.850671634073129
1220.1233734505331360.2467469010662710.876626549466864
1230.09680581775151270.1936116355030250.903194182248487
1240.0778522469725090.1557044939450180.922147753027491
1250.06193901464878180.1238780292975640.938060985351218
1260.04605427649975420.09210855299950850.953945723500246
1270.03561299965799330.07122599931598660.964387000342007
1280.02726490799845960.05452981599691910.97273509200154
1290.02068816997025450.04137633994050890.979311830029746
1300.01558111613408440.03116223226816880.984418883865916
1310.01167063626254640.02334127252509270.988329363737454
1320.008717119403773320.01743423880754660.991282880596227
1330.006516408057287350.01303281611457470.993483591942713
1340.004899418444880880.009798836889761770.995100581555119
1350.003730187882887940.007460375765775880.996269812117112
1360.002903202692911160.005806405385822310.997096797307089
1370.00234107075028530.004682141500570590.997658929249715
1380.001338503989994260.002677007979988510.998661496010006
1390.0007349385260375340.001469877052075070.999265061473962
1400.0005960320512853590.001192064102570720.999403967948715
1410.0154701583357210.0309403166714420.984529841664279
1420.009083061521000450.01816612304200090.990916938479
1430.006680045773562090.01336009154712420.993319954226438
1440.005178348224578020.0103566964491560.994821651775422
1450.004453127461884580.008906254923769160.995546872538115
1460.002126407889019140.004252815778038270.997873592110981
1470.0009187058946585450.001837411789317090.999081294105341
1480.0003504075746410380.0007008151492820760.999649592425359
1490.0002877654975556250.000575530995111250.999712234502444


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level310.213793103448276NOK
5% type I error level470.324137931034483NOK
10% type I error level630.43448275862069NOK