Multiple Linear Regression - Estimated Regression Equation
Difference[t] = -0.479003249542286 + 0.114896982380482Weeks[t] + 0.102581298492572Treatment[t] + 0.00222142412628218t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.4790032495422860.197456-2.42590.0164590.008229
Weeks0.1148969823804820.0416372.75950.0065110.003256
Treatment0.1025812984925720.0481572.13010.0347910.017396
t0.002221424126282180.0009312.38610.0182770.009139


Multiple Linear Regression - Regression Statistics
Multiple R0.269184308316193
R-squared0.0724601918436672
Adjusted R-squared0.0539093956805404
F-TEST (value)3.9060421561688
F-TEST (DF numerator)3
F-TEST (DF denominator)150
p-value0.0101146237437044
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.261574307446178
Sum Squared Residuals10.2631677473921


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.0853874025984966-0.0853874025984966
20-0.01497247176779380.0149724717677938
30-0.01275104764151130.0127510476415113
40-0.01052962351522930.0105296235152293
50-0.008308199388947120.00830819938894712
60-0.006086775262664940.00608677526266494
70-0.003865351136382770.00386535113638277
800.100937371482472-0.100937371482472
900.000577497116181585-0.000577497116181585
1000.00279892124246377-0.00279892124246377
1100.107601643861318-0.107601643861318
1200.00724176949502811-0.00724176949502811
1300.00946319362131029-0.00946319362131029
1400.114265916240165-0.114265916240165
1500.0139060418738746-0.0139060418738746
1600.118708764492729-0.118708764492729
1710.1209301886190120.879069811380988
1800.123151612745294-0.123151612745294
1900.0227917383790033-0.0227917383790033
2010.1275944609978580.872405539002142
2100.0272345866315677-0.0272345866315677
2200.0294560107578499-0.0294560107578499
2300.031677434884132-0.031677434884132
2400.0338988590104142-0.0338988590104142
2500.138701581629269-0.138701581629269
2600.0383417072629786-0.0383417072629786
2700.0405631313892608-0.0405631313892608
2800.0427845555155429-0.0427845555155429
2900.0450059796418251-0.0450059796418251
3000.0472274037681073-0.0472274037681073
3100.0494488278943895-0.0494488278943895
3200.0516702520206716-0.0516702520206716
3300.0538916761469538-0.0538916761469538
3400.158694398765808-0.158694398765808
3500.0583345243995182-0.0583345243995182
3600.0605559485258003-0.0605559485258003
3700.165358671144655-0.165358671144655
3800.0649987967783647-0.0649987967783647
3900.0672202209046469-0.0672202209046469
4000.172022943523502-0.172022943523502
4110.07166306915721120.928336930842789
4200.0738844932834934-0.0738844932834934
4300.0761059174097756-0.0761059174097756
4400.18090864002863-0.18090864002863
4500.0805487656623399-0.0805487656623399
4600.0827701897886221-0.0827701897886221
4700.0849916139149043-0.0849916139149043
4800.0872130380411864-0.0872130380411864
4900.0894344621674686-0.0894344621674686
5000.0916558862937508-0.0916558862937508
5100.196458608912605-0.196458608912605
5210.1986800330388880.801319966961112
5300.0983201586725973-0.0983201586725973
5410.100541582798880.89945841720112
5500.102763006925162-0.102763006925162
5600.207565729544016-0.207565729544016
5700.107205855177726-0.107205855177726
5800.109427279304008-0.109427279304008
5900.11164870343029-0.11164870343029
6010.2164514260491450.783548573950855
6100.218672850175427-0.218672850175427
6200.118312975809137-0.118312975809137
6300.120534399935419-0.120534399935419
6400.225337122554274-0.225337122554274
6500.124977248187983-0.124977248187983
6600.127198672314266-0.127198672314266
6710.232001394933120.76799860506688
6800.13164152056683-0.13164152056683
6900.133862944693112-0.133862944693112
7000.136084368819394-0.136084368819394
7100.138305792945677-0.138305792945677
7200.140527217071959-0.140527217071959
7300.142748641198241-0.142748641198241
7400.144970065324523-0.144970065324523
7500.147191489450805-0.147191489450805
7600.25199421206966-0.25199421206966
7700.15163433770337-0.15163433770337
7800.153855761829652-0.153855761829652
7910.2586584844485060.741341515551494
8000.260879908574789-0.260879908574789
8100.160520034208498-0.160520034208498
8200.16274145833478-0.16274145833478
8300.164962882461063-0.164962882461063
8410.1671843065873450.832815693412655
8500.169405730713627-0.169405730713627
8600.171627154839909-0.171627154839909
870-0.05594538579477250.0559453857947725
8800.0488573368240822-0.0488573368240822
890-0.05150253754220810.0515025375422081
900-0.0492811134159260.049281113415926
910-0.04705968928964380.0470596892896438
9200.0577430333292109-0.0577430333292109
930-0.04261684103707940.0426168410370794
940-0.04039541691079730.0403954169107973
9500.0644073057080574-0.0644073057080574
960-0.03595256865823290.0359525686582329
9700.0688501539606217-0.0688501539606217
980-0.03150972040566850.0315097204056685
990-0.02928829627938640.0292882962793864
1000-0.02706687215310420.0270668721531042
1010-0.0248454480268220.024845448026822
1020-0.02262402390053980.0226240239005398
1030-0.02040259977425770.0204025997742577
1040-0.01818117564797550.0181811756479755
10500.0866215469708791-0.0866215469708791
1060-0.01373832739541110.0137383273954111
1070-0.0115169032691290.011516903269129
10800.0932858193497257-0.0932858193497257
1090-0.007074055016564610.00707405501656461
1100-0.004852630890282430.00485263089028243
11100.0999500917285722-0.0999500917285722
11200.102171515854854-0.102171515854854
11300.0018116414885641-0.0018116414885641
11400.106614364107419-0.106614364107419
11500.00625448974112845-0.00625448974112845
11600.00847591386741062-0.00847591386741062
11700.0106973379936928-0.0106973379936928
11800.012918762119975-0.012918762119975
11900.0151401862462572-0.0151401862462572
12000.0173616103725393-0.0173616103725393
12100.0195830344988215-0.0195830344988215
12200.0218044586251037-0.0218044586251037
12300.126607181243958-0.126607181243958
12400.026247306877668-0.026247306877668
12500.0284687310039502-0.0284687310039502
12600.133271453622805-0.133271453622805
12700.0329115792565146-0.0329115792565146
12800.0351330033827967-0.0351330033827967
12900.0373544275090789-0.0373544275090789
13000.0395758516353611-0.0395758516353611
13100.0417972757616433-0.0417972757616433
13200.0440186998879254-0.0440186998879254
13300.0462401240142076-0.0462401240142076
13400.0484615481404898-0.0484615481404898
13500.050682972266772-0.050682972266772
13600.0529043963930541-0.0529043963930541
13700.0551258205193363-0.0551258205193363
13800.159928543138191-0.159928543138191
13900.162149967264473-0.162149967264473
14000.0617900928981828-0.0617900928981828
14110.06401151702446490.935988482975535
14200.16881423964332-0.16881423964332
14300.0684543652770294-0.0684543652770294
14400.0706757894033116-0.0706757894033116
14500.0728972135295937-0.0728972135295937
14600.177699936148448-0.177699936148448
14700.179921360274731-0.179921360274731
14800.182142784401013-0.182142784401013
14900.0817829100347224-0.0817829100347224
15000.0840043341610046-0.0840043341610046
15100.0862257582872868-0.0862257582872868
15210.08844718241356890.911552817586431
15310.09066860653985110.909331393460149
15400.0928900306661333-0.0928900306661333


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
7001
8001
9001
10001
11001
12001
13001
14001
15001
16001
170.3440363213628460.6880726427256910.655963678637154
180.332122332344740.6642446646894810.66787766765526
190.2734414325200520.5468828650401050.726558567479948
200.7453440908674140.5093118182651720.254655909132586
210.7123846644872260.5752306710255490.287615335512774
220.6690703123713910.6618593752572180.330929687628609
230.6187585437344370.7624829125311250.381241456265563
240.5637321741275010.8725356517449980.436267825872499
250.5820866281135750.8358267437728510.417913371886425
260.521190518625030.9576189627499390.47880948137497
270.459694093737210.9193881874744190.54030590626279
280.3992731992715130.7985463985430270.600726800728487
290.3414203864468830.6828407728937660.658579613553117
300.2873718085822230.5747436171644450.712628191417777
310.2380564954495120.4761129908990230.761943504550488
320.1940750666887660.3881501333775320.805924933311234
330.1557079622761950.3114159245523910.844292037723805
340.1506213630410380.3012427260820770.849378636958962
350.1185112019730170.2370224039460350.881488798026983
360.09180093163833620.1836018632766720.908199068361664
370.08254010490899960.1650802098179990.917459895091
380.0626543531211050.125308706242210.937345646878895
390.04685627445146560.09371254890293110.953143725548534
400.03972763555680490.07945527111360980.960272364443195
410.51570807181770.9685838563646010.4842919281823
420.4667744358124090.9335488716248180.533225564187591
430.4181712064163120.8363424128326240.581828793583688
440.3938546479336580.7877092958673170.606145352066342
450.3468231861659680.6936463723319370.653176813834032
460.3021432052801920.6042864105603850.697856794719808
470.260388973027370.5207779460547410.73961102697263
480.2219914705462390.4439829410924770.778008529453762
490.1872318693799160.3744637387598320.812768130620084
500.1562451792065760.3124903584131510.843754820793424
510.1395346430388810.2790692860777620.860465356961119
520.4957145830850710.9914291661701420.504285416914929
530.4508440054702680.9016880109405360.549155994529732
540.87744374702660.24511250594680.1225562529734
550.8564384035391370.2871231929217260.143561596460863
560.850552264894980.298895470210040.14944773510502
570.8256173441921870.3487653116156260.174382655807813
580.797997319530080.4040053609398410.20200268046992
590.767797347216180.4644053055676410.23220265278382
600.9492352090478960.1015295819042080.0507647909521039
610.947633657335480.1047326853290390.0523663426645195
620.9361575124129570.1276849751740870.0638424875870433
630.9227485746687470.1545028506625050.0772514253312526
640.9181086894210860.1637826211578280.0818913105789142
650.9018099349207220.1963801301585550.0981900650792777
660.8833694816443260.2332610367113490.116630518355674
670.985106845726550.02978630854689980.0148931542734499
680.9809792201210520.03804155975789580.0190207798789479
690.9759254342085080.04814913158298390.024074565791492
700.9698275889108240.06034482217835160.0301724110891758
710.962586900546990.07482619890602050.0374130994530102
720.9541409096025150.09171818079497020.0458590903974851
730.9444867422983930.1110265154032140.0555132577016071
740.9337125521920360.1325748956159280.0662874478079638
750.9220407986911470.1559184026177050.0779592013088526
760.9190589004310440.1618821991379130.0809410995689563
770.9075146834239390.1849706331521210.0924853165760605
780.8969358516823630.2061282966352740.103064148317637
790.9884742692133210.02305146157335710.0115257307866785
800.9874329172652570.02513416546948550.0125670827347428
810.9847483503469750.03050329930605020.0152516496530251
820.9824871707884250.03502565842315090.0175128292115754
830.9819169822174770.03616603556504640.0180830177825232
840.9996645961268980.0006708077462040180.000335403873102009
850.9994980381246270.001003923750746950.000501961875373474
860.999255088792160.001489822415680180.000744911207840092
870.9988881337894530.002223732421093310.00111186621054665
880.9984995474223050.003000905155389660.00150045257769483
890.9978359989066760.004328002186648220.00216400109332411
900.9968937671401820.00621246571963550.00310623285981775
910.9955822146792070.008835570641586340.00441778532079317
920.9942620613831470.01147587723370560.00573793861685278
930.9920272907139210.01594541857215840.00797270928607918
940.9890339466497490.02193210670050110.0109660533502505
950.9861315802297210.02773683954055790.0138684197702789
960.9813370487936490.03732590241270170.0186629512063508
970.9768640439464490.04627191210710220.0231359560535511
980.9695170429789060.06096591404218760.0304829570210938
990.96025949648220.07948100703559980.0397405035177999
1000.9487507396267690.1024985207464620.0512492603732308
1010.9346373028422940.1307253943154120.0653626971577061
1020.9175676110922220.1648647778155570.0824323889077785
1030.8972104205023760.2055791589952480.102789579497624
1040.8732764383778430.2534471232443150.126723561622157
1050.8533746359124120.2932507281751750.146625364087588
1060.8228619369447280.3542761261105430.177138063055272
1070.7883818968010240.4232362063979530.211618103198976
1080.7612908524880240.4774182950239520.238709147511976
1090.7203591824418360.5592816351163290.279640817558164
1100.675953826447310.648092347105380.32404617355269
1110.6434562599651320.7130874800697360.356543740034868
1120.6130009991896460.7739980016207080.386999000810354
1130.5630098727192440.8739802545615120.436990127280756
1140.5360919445819080.9278161108361830.463908055418091
1150.4846607511014680.9693215022029370.515339248898532
1160.4329319252404880.8658638504809750.567068074759512
1170.3817648141768160.7635296283536310.618235185823184
1180.3320194019499510.6640388038999020.667980598050049
1190.2845136676075720.5690273352151440.715486332392428
1200.2399818658523190.4799637317046380.760018134147681
1210.1990371883138830.3980743766277670.800962811686117
1220.1621420809516770.3242841619033540.837857919048323
1230.1442135724853810.2884271449707620.855786427514619
1240.1141965630248510.2283931260497010.885803436975149
1250.08853335713859590.1770667142771920.911466642861404
1260.07911988337760630.1582397667552130.920880116622394
1270.0595247122243010.1190494244486020.940475287775699
1280.04366853991304640.08733707982609270.956331460086954
1290.03118460740953390.06236921481906780.968815392590466
1300.02164045612556880.04328091225113770.978359543874431
1310.01457041925650290.02914083851300570.985429580743497
1320.009507266117693410.01901453223538680.990492733882307
1330.006010067970402170.01202013594080430.993989932029598
1340.003685867633097690.007371735266195380.996314132366902
1350.002203673319041740.004407346638083490.997796326680958
1360.001300636085382650.00260127217076530.998699363914617
1370.0007823025044550020.001564605008910.999217697495545
1380.0004362406095594140.0008724812191188280.999563759390441
1390.0002341005411640960.0004682010823281920.999765899458836
1400.0001427624246714610.0002855248493429210.999857237575329
1410.02295726382458220.04591452764916430.977042736175418
1420.01697740616027930.03395481232055860.983022593839721
1430.009922448240042150.01984489648008430.990077551759958
1440.005439217014585210.01087843402917040.994560782985415
1450.003067342198443770.006134684396887530.996932657801556
1460.001437108700061740.002874217400123480.998562891299938
1470.000536597613393060.001073195226786120.999463402386607


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level280.198581560283688NOK
5% type I error level500.354609929078014NOK
10% type I error level590.418439716312057NOK