Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis_1[t] = -1.15798149687543 + 0.351151565220221Weeks[t] -0.00199330863477795uselimit[t] -0.163697515521597T40[t] + 0.150676124978063T20[t] + 0.248752117406973used[t] + 0.0440401232909736useful[t] -0.0414080650037894outcome[t] + 0.00149668514555213t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.157981496875430.306867-3.77360.0002340.000117
Weeks0.3511515652202210.0853224.11566.5e-053.2e-05
uselimit-0.001993308634777950.041366-0.04820.9616330.480817
T40-0.1636975155215970.058194-2.8130.005590.002795
T200.1506761249780630.067412.23520.0269310.013466
used0.2487521174069730.0452865.49300
useful0.04404012329097360.0452790.97260.3323520.166176
outcome-0.04140806500378940.039384-1.05140.2948230.147412
t0.001496685145552130.0008451.77150.0785860.039293


Multiple Linear Regression - Regression Statistics
Multiple R0.546977776330514
R-squared0.299184687799473
Adjusted R-squared0.260519015402203
F-TEST (value)7.73773399633402
F-TEST (DF numerator)8
F-TEST (DF denominator)145
p-value1.30143621435153e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.231255582180693
Sum Squared Residuals7.75447592201102


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.0410225599908448-0.0410225599908448
20-0.0777768967466340.077776896746634
30-0.07628021160108160.0762802116010816
40-0.07478352645552950.0747835264555295
50-0.07328684130997720.0732868413099772
60-0.07115140651201890.0711514065120189
70-0.0702934710188730.070293471018873
800.0949007296482764-0.0949007296482764
90-0.1087081657315580.108708165731558
100-0.06779672421699460.0677967242169946
1100.0973974764501549-0.0973974764501549
120-0.06281004529111240.0628100452911124
1300.231478880552387-0.231478880552387
1400.101887531886811-0.101887531886811
1500.193064185839701-0.193064185839701
1600.358258386506851-0.358258386506851
1710.3991698280214150.600830171978585
1800.10787427246902-0.10787427246902
190-0.0937413142760370.093741314276037
2010.364245127089060.63575487291094
210-0.007293064324947650.00729306432494765
2200.201547673223788-0.201547673223788
230-0.04371445040285490.0437144504028549
240-0.04421107389208070.0442110738920807
2500.327688429525846-0.327688429525846
2600.250935787444564-0.250935787444564
270-0.08376114174639790.0837611417463979
2800.209889034444695-0.209889034444695
290-0.07877446282051570.0787744628205157
3000.00817041061979947-0.00817041061979947
310-0.0343730275256220.034373027525622
320-0.03486965101484780.0348696510148478
3300.0106671574216779-0.0106671574216779
3400.0924064784288423-0.0924064784288423
350-0.02838628694341350.0283862869434135
360-0.02688960179786130.0268896017978613
3700.429103530932457-0.429103530932457
3800.183447820896427-0.183447820896427
390-0.01976748807402080.0197674880740208
4000.186834777596918-0.186834777596918
4110.2319779996240570.768022000375943
4200.189434561478635-0.189434561478635
430-0.01577405612659030.0157740561265903
4400.146788086253375-0.146788086253375
4500.0306206878030814-0.0306206878030814
460-0.009290692055155920.00929069205515592
470-0.01042606519678790.0104260651967879
480-0.05033744505502520.0503374450550252
490-0.004800636618499540.00480063661849954
500-0.005936009760131560.00593600976013156
5100.408010308313991-0.408010308313991
5210.4515538081157390.548446191884261
530-0.04285401932726460.0428540193272646
5410.248802848229050.75119715177095
5500.00154741596762908-0.00154741596762908
5600.374085669037962-0.374085669037962
5700.255924961952891-0.255924961952891
580-0.0353705935995040.035370593599504
590-0.03387390845395180.0338739084539518
6010.4221192242763670.577880775723633
6100.130823668723972-0.130823668723972
6200.304816452684441-0.304816452684441
6300.0135208971320461-0.0135208971320461
6400.135313724160628-0.135313724160628
6500.0165142674231504-0.0165142674231504
6600.0180109525687025-0.0180109525687025
6710.4759973939337990.524002606066201
6800.0190110142250288-0.0190110142250288
690-0.01890705699843060.0189070569984306
7000.272749810557884-0.272749810557884
7100.0254943782964631-0.0254943782964631
720-0.01441700156177420.0144170015617742
7300.235831800990751-0.235831800990751
7400.276743242505315-0.276743242505315
750-0.009926946125117810.00992694612511781
7600.199307377833005-0.199307377833005
770-0.006933575834013550.00693357583401355
7800.287355350009486-0.287355350009486
7910.4085094273856620.591490572614338
8000.246702183419003-0.246702183419003
8100.0404612297519844-0.0404612297519844
8200.247308658665942-0.247308658665942
8300.0434546000430886-0.0434546000430886
8410.2937034025956140.706296597404386
8500.049080028621377-0.049080028621377
8600.0459513468449671-0.0459513468449671
870-0.06751588245439290.0675158824543929
8800.0320567951200698-0.0320567951200698
890-0.02112113852472120.0211211385247212
900-0.06103251838295850.0610325183829585
9100.0259123550573566-0.0259123550573566
920-0.1693005167009060.169300516700906
9300.0269124167136829-0.0269124167136829
940-0.01363771279696060.0136377127969606
950-0.1628171526294710.162817152629471
960-0.05205240750964580.0520524075096458
970-0.1618170909731450.161817090973145
980-0.007650972214752060.00765097221475206
990-0.008147595703977870.00814759570397787
1000-0.04606566692743730.0460656669274373
1010-0.04656229041666310.0465622904166631
1020-0.001664231632543540.00166423163254354
1030-0.0001675464869914160.000167546486991416
10400.00132913865856071-0.00132913865856071
10500.100901816233023-0.100901816233023
10600.00432250894966497-0.00432250894966497
10700.0058191940952171-0.0058191940952171
10800.103398563034902-0.103398563034902
10900.00881256438632135-0.00881256438632135
11000.00831594089709553-0.00831594089709553
11100.151928741762532-0.151928741762532
1120-0.1373735051550850.137373505155085
11300.263551422375503-0.263551422375503
11400.112378673908215-0.112378673908215
11500.0157993666248562-0.0157993666248562
11600.0192893604051862-0.0192893604051862
1170-0.0226153280878290.022615328087829
11800.0202894220615126-0.0202894220615126
11900.0237794158418426-0.0237794158418426
1200-0.01613196401639470.0161319640163947
12100.0247794774981689-0.0247794774981689
12200.028269471278499-0.028269471278499
12300.125848840218184-0.125848840218184
12400.282647017263761-0.282647017263761
1250-0.008648538288634050.00864853828863405
1260-0.1164199131173550.116419913117355
12700.0797930202972332-0.0797930202972332
1280-0.004158482851977660.00415848285197766
12900.0387462672973639-0.0387462672973639
1300-0.00116511256087340.0011651125608734
13100.0397463289536902-0.0397463289536902
1320-0.0001650509045470970.000165050904547097
13300.291491816651768-0.291491816651768
13400.0462296930251245-0.0462296930251245
13500.0477263781706767-0.0477263781706767
13600.0492230633162288-0.0492230633162288
13700.30011061552116-0.30011061552116
13800.15093117568865-0.15093117568865
1390-0.09696300622517760.0969630062251776
14000.0552098038984373-0.0552098038984373
14110.2640505414471730.735949458552827
14200.114871101614663-0.114871101614663
14300.0577065507003158-0.0577065507003158
14400.06382860276783-0.06382860276783
14500.106733352917172-0.106733352917172
1460-0.1278942752101020.127894275210102
14700.163762592346213-0.163762592346213
1480-0.08349283991520850.0834928399152085
14900.0666866615736285-0.0666866615736285
15000.0728087136411427-0.0728087136411427
15100.0302652754957213-0.0302652754957213
15210.3199288344172580.680071165582742
15310.3654656428537840.634534357146216
15400.322922204708363-0.322922204708363


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
12001
13001
14001
15001
16001
170.6453969235771830.7092061528456350.354603076422817
180.5641523425319780.8716953149360440.435847657468022
190.5546027812881480.8907944374237030.445397218711852
200.9305898744977230.1388202510045540.0694101255022771
210.9023780835331510.1952438329336990.0976219164668494
220.8937590021833330.2124819956333350.106240997816667
230.8539579739215170.2920840521569660.146042026078483
240.8065197531285660.3869604937428690.193480246871434
250.8016856651442350.396628669711530.198314334855765
260.7889446898011430.4221106203977140.211055310198857
270.7652047788446240.4695904423107510.234795221155376
280.7162643459362740.5674713081274530.283735654063726
290.6712743134128330.6574513731743350.328725686587167
300.6129369997849170.7741260004301650.387063000215083
310.5538722376071190.8922555247857610.44612776239288
320.4931882057014480.9863764114028960.506811794298552
330.4330064178375510.8660128356751030.566993582162449
340.3789491564596760.7578983129193520.621050843540324
350.3250163675536470.6500327351072950.674983632446353
360.2737475796175130.5474951592350260.726252420382487
370.3453587228953650.690717445790730.654641277104635
380.2997810410826720.5995620821653440.700218958917328
390.2495828503550330.4991657007100650.750417149644967
400.2301126874369130.4602253748738260.769887312563087
410.7965195367056720.4069609265886560.203480463294328
420.7695899655950640.4608200688098730.230410034404936
430.7274780896915490.5450438206169010.272521910308451
440.6911257344960530.6177485310078940.308874265503947
450.6420109251605260.7159781496789490.357989074839474
460.5925277585303390.8149444829393210.407472241469661
470.5428848892019890.9142302215960210.457115110798011
480.4929615972424020.9859231944848030.507038402757598
490.4428871861126980.8857743722253950.557112813887302
500.3933576129732080.7867152259464170.606642387026792
510.4627870779103180.9255741558206350.537212922089682
520.7359729413694670.5280541172610660.264027058630533
530.6955723221048250.608855355790350.304427677895175
540.9551372422501940.08972551549961230.0448627577498062
550.9422609874373890.1154780251252220.0577390125626109
560.9677715596356060.06445688072878840.0322284403643942
570.9678404821089280.06431903578214320.0321595178910716
580.9586382346265990.08272353074680140.0413617653734007
590.9474820727373090.1050358545253820.052517927262691
600.9847310756190750.03053784876185030.0152689243809251
610.9828484613487410.03430307730251770.0171515386512588
620.9849361031794590.03012779364108210.0150638968205411
630.9796067244033070.04078655119338520.0203932755966926
640.9792986150008070.04140276999838680.0207013849991934
650.9723910123704570.05521797525908580.0276089876295429
660.9636714946450110.07265701070997890.0363285053549894
670.9864585045873310.02708299082533790.0135414954126689
680.9819078320206240.03618433595875230.0180921679793761
690.9759499688016740.04810006239665150.0240500311983257
700.9771524852849090.04569502943018150.0228475147150907
710.9696879734203050.06062405315939020.0303120265796951
720.9605134227027310.07897315459453780.0394865772972689
730.9598694567048990.08026108659020110.0401305432951006
740.9631691034361930.07366179312761470.0368308965638074
750.9523454109674350.09530917806513060.0476545890325653
760.952869452304630.09426109539074050.0471305476953702
770.9398857149051040.1202285701897930.0601142850948964
780.9442545064649630.1114909870700740.0557454935350368
790.986393362426440.0272132751471190.0136066375735595
800.9838680591553050.03226388168939070.0161319408446953
810.9792646131204850.04147077375902990.0207353868795149
820.9842875836776750.03142483264464910.0157124163223246
830.9828921745951440.03421565080971290.0171078254048565
840.9986192722220310.002761455555938020.00138072777796901
850.9979623741645550.004075251670889240.00203762583544462
860.9969939356266920.006012128746616910.00300606437330845
870.9956883421772120.008623315645576940.00431165782278847
880.9937967848343480.01240643033130470.00620321516565237
890.9912768660633570.01744626787328520.0087231339366426
900.988033860089810.02393227982038020.0119661399101901
910.9840070949837910.03198581003241720.0159929050162086
920.9816237520155720.03675249596885640.0183762479844282
930.9759264188155120.04814716236897560.0240735811844878
940.9679431293294940.06411374134101220.0320568706705061
950.9644404820709730.07111903585805360.0355595179290268
960.9544045287323530.09119094253529480.0455954712676474
970.9520798328730910.09584033425381830.0479201671269091
980.9385105078677150.1229789842645690.0614894921322846
990.9224551602227860.1550896795544280.077544839777214
1000.9046415824463510.1907168351072980.0953584175536492
1010.8860855125324450.227828974935110.113914487467555
1020.8605122415489110.2789755169021780.139487758451089
1030.831271923040960.3374561539180790.16872807695904
1040.798377332042870.4032453359142610.20162266795713
1050.7659387399232330.4681225201535350.234061260076767
1060.7257014685517240.5485970628965520.274298531448276
1070.6823912425853140.6352175148293710.317608757414686
1080.6380187292294980.7239625415410040.361981270770502
1090.5891992830660480.8216014338679040.410800716933952
1100.5395331542728230.9209336914543540.460466845727177
1110.4951050471883410.9902100943766820.504894952811659
1120.4976657215509380.9953314431018760.502334278449062
1130.4891600716399550.9783201432799110.510839928360045
1140.4349575903842450.8699151807684890.565042409615755
1150.3834764402419680.7669528804839370.616523559758032
1160.330574613274010.6611492265480210.66942538672599
1170.2896322898918180.5792645797836370.710367710108182
1180.2472610341904790.4945220683809580.752738965809521
1190.2034630851694430.4069261703388860.796536914830557
1200.1674587697743770.3349175395487550.832541230225623
1210.1375480884099730.2750961768199460.862451911590027
1220.1072834272352620.2145668544705250.892716572764738
1230.08198925925867380.1639785185173480.918010740741326
1240.07803405122830390.1560681024566080.921965948771696
1250.05761905654539920.1152381130907980.942380943454601
1260.05768320095212740.1153664019042550.942316799047873
1270.04272743083193270.08545486166386540.957272569168067
1280.02987055816767550.0597411163353510.970129441832325
1290.02011222057618090.04022444115236180.979887779423819
1300.01319063913893670.02638127827787340.986809360861063
1310.009104115650839840.01820823130167970.99089588434916
1320.00717159534907380.01434319069814760.992828404650926
1330.006864745061186830.01372949012237370.993135254938813
1340.003909833898196080.007819667796392160.996090166101804
1350.002123993292567650.004247986585135290.997876006707432
1360.001108198373524640.002216396747049280.998891801626475
1370.001539227283651890.003078454567303780.998460772716348
1380.001435169369619450.00287033873923890.998564830630381
1390.0009033460836126790.001806692167225360.999096653916387
1400.0003728799930479220.0007457599860958450.999627120006952
1410.01082827223794160.02165654447588320.989171727762058
1420.004722696934720420.009445393869440850.99527730306528


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level170.129770992366412NOK
5% type I error level430.32824427480916NOK
10% type I error level610.465648854961832NOK