Multiple Linear Regression - Estimated Regression Equation
Used[t] = + 1.61487115955421 -0.360489672730471Weeks[t] + 0.052264453573244UseLimit[t] -0.0180598419378511T40[t] -0.426359829580634T20[t] + 0.727157918038104CorrectAnalysis[t] + 0.168326965126598Useful[t] + 0.0742966761115331`Outcome\r`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.614871159554210.4331513.72820.0002750.000138
Weeks-0.3604896727304710.134036-2.68950.0079890.003995
UseLimit0.0522644535732440.0687730.760.4485070.224254
T40-0.01805984193785110.099436-0.18160.8561310.428066
T20-0.4263598295806340.109061-3.90940.0001417.1e-05
CorrectAnalysis0.7271579180381040.1235355.886300
Useful0.1683269651265980.0745632.25750.0254590.012729
`Outcome\r`0.07429667611153310.0655441.13350.2588450.129422


Multiple Linear Regression - Regression Statistics
Multiple R0.560608866339958
R-squared0.314282301018973
Adjusted R-squared0.281405425040431
F-TEST (value)9.55937240582391
F-TEST (DF numerator)7
F-TEST (DF denominator)146
p-value9.47382283733589e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.386772330325392
Sum Squared Residuals21.8405539837788


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.281413756379248-0.281413756379248
200.136792784756621-0.136792784756621
300.136792784756621-0.136792784756621
400.13679278475662-0.13679278475662
500.13679278475662-0.13679278475662
600.431680879567996-0.431680879567996
700.136792784756621-0.136792784756621
800.154852626694472-0.154852626694472
900.211089460868154-0.211089460868154
1000.189057238329865-0.189057238329865
1100.207117080267716-0.207117080267716
1200.136792784756621-0.136792784756621
1310.3051197498832190.694880250116781
1400.207117080267716-0.207117080267716
1510.3794164259947520.620583574005248
1610.3974762679326030.602523732067397
1711.10260196343242-0.102601963432418
1800.207117080267716-0.207117080267716
1900.211089460868154-0.211089460868154
2011.12463418597071-0.124634185970707
2100.357384203456463-0.357384203456463
2210.4316808795679960.568319120432004
2300.379416425994752-0.379416425994752
2400.431680879567996-0.431680879567996
2510.2291493028060050.770850697193995
2610.3051197498832190.694880250116781
2700.263353914441398-0.263353914441398
2810.1367927847566210.863207215243379
2900.211089460868154-0.211089460868154
3000.305119749883219-0.305119749883219
3100.136792784756621-0.136792784756621
3200.189057238329865-0.189057238329865
3300.357384203456463-0.357384203456463
3400.229149302806005-0.229149302806005
3500.136792784756621-0.136792784756621
3600.136792784756621-0.136792784756621
3710.3754440453943140.624555954605686
3810.2110894608681540.788910539131846
3900.379416425994752-0.379416425994752
4000.32317959182107-0.32317959182107
4111.10657434403286-0.106574344032856
4210.2110894608681540.788910539131846
4300.431680879567996-0.431680879567996
4400.207117080267716-0.207117080267716
4500.305119749883219-0.305119749883219
4600.379416425994752-0.379416425994752
4700.136792784756621-0.136792784756621
4800.211089460868154-0.211089460868154
4900.379416425994752-0.379416425994752
5000.136792784756621-0.136792784756621
5110.1548526266944720.845147373305528
5211.10260196343242-0.102601963432418
5300.211089460868154-0.211089460868154
5410.8639507027947240.136049297205276
5500.136792784756621-0.136792784756621
5610.2291493028060050.770850697193995
5710.3794164259947520.620583574005248
5800.211089460868154-0.211089460868154
5900.211089460868154-0.211089460868154
6011.17689863954395-0.176898639543951
6100.281413756379249-0.281413756379249
6210.3051197498832190.694880250116781
6300.136792784756621-0.136792784756621
6400.281413756379249-0.281413756379249
6500.136792784756621-0.136792784756621
6600.136792784756621-0.136792784756621
6711.05033750985917-0.0503375098591735
6800.189057238329865-0.189057238329865
6900.211089460868154-0.211089460868154
7010.1367927847566210.863207215243379
7100.136792784756621-0.136792784756621
7200.211089460868154-0.211089460868154
7310.2110894608681540.788910539131846
7410.1890572383298650.810942761670135
7500.211089460868154-0.211089460868154
7600.397476267932603-0.397476267932603
7700.211089460868154-0.211089460868154
7810.3794164259947520.620583574005248
7910.9563072208441080.0436927791558916
8000.32317959182107-0.32317959182107
8100.136792784756621-0.136792784756621
8210.2633539144413980.736646085558602
8300.136792784756621-0.136792784756621
8410.8639507027947240.136049297205276
8500.379416425994752-0.379416425994752
8600.189057238329865-0.189057238329865
8700.167733284616774-0.167733284616774
8810.5940931141974080.405906885802592
8900.0411721549319971-0.0411721549319971
9000.11546883104353-0.11546883104353
9100.209499120058595-0.209499120058595
9200.519796438085875-0.519796438085875
9300.261763573631839-0.261763573631839
9400.0411721549319971-0.0411721549319971
9500.467531984512631-0.467531984512631
9600.11546883104353-0.11546883104353
9700.519796438085875-0.519796438085875
9800.0411721549319971-0.0411721549319971
9900.0934366085052411-0.0934366085052411
10000.11546883104353-0.11546883104353
10100.167733284616774-0.167733284616774
10200.0411721549319971-0.0411721549319971
10300.0411721549319971-0.0411721549319971
10400.0411721549319971-0.0411721549319971
10510.4675319845126310.532468015487369
10600.0411721549319971-0.0411721549319971
10700.0411721549319971-0.0411721549319971
10810.5197964380858750.480203561914125
10900.0411721549319971-0.0411721549319971
11000.0934366085052411-0.0934366085052411
11110.6881234032124730.311876596787527
11200.467531984512631-0.467531984512631
11310.04117215493199710.958827845068003
11410.5197964380858750.480203561914125
11500.0934366085052411-0.0934366085052411
11600.0411721549319971-0.0411721549319971
11700.167733284616774-0.167733284616774
11800.0934366085052411-0.0934366085052411
11900.0411721549319971-0.0411721549319971
12000.11546883104353-0.11546883104353
12100.0934366085052411-0.0934366085052411
12200.0411721549319971-0.0411721549319971
12310.5197964380858750.480203561914125
12410.2837957961701280.716204203829872
12500.11546883104353-0.11546883104353
12600.467531984512631-0.467531984512631
12700.209499120058595-0.209499120058595
12800.11546883104353-0.11546883104353
12900.0411721549319971-0.0411721549319971
13000.11546883104353-0.11546883104353
13100.0934366085052411-0.0934366085052411
13200.167733284616774-0.167733284616774
13310.0934366085052410.906563391494759
13400.0411721549319971-0.0411721549319971
13500.0411721549319971-0.0411721549319971
13600.0411721549319971-0.0411721549319971
13710.3360602497433720.663939750256628
13810.7624200793240060.237579920675994
13900.467531984512631-0.467531984512631
14000.0411721549319971-0.0411721549319971
14110.8426267490816340.157373250918366
14210.5418286606241640.458171339375836
14300.0934366085052411-0.0934366085052411
14400.283795796170128-0.283795796170128
14500.209499120058595-0.209499120058595
14600.541828660624164-0.541828660624164
14710.4675319845126310.532468015487369
14800.467531984512631-0.467531984512631
14900.0934366085052411-0.0934366085052411
15000.283795796170128-0.283795796170128
15100.11546883104353-0.11546883104353
15210.8205945265433450.179405473456655
15310.9889214916699430.0110785083300572
15410.0934366085052410.906563391494759


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
11001
12001
130.1574630465375020.3149260930750030.842536953462498
140.08473720172018320.1694744034403660.915262798279817
150.1116798801027570.2233597602055140.888320119897243
160.06781887382598690.1356377476519740.932181126174013
170.03670454974422210.07340909948844410.963295450255778
180.01943754958792450.0388750991758490.980562450412075
190.009834793893602970.01966958778720590.990165206106397
200.005549150929786120.01109830185957220.994450849070214
210.01568299126938050.03136598253876090.98431700873062
220.05302941669302350.1060588333860470.946970583306977
230.1638753681612580.3277507363225160.836124631838742
240.1723152780481480.3446305560962960.827684721951852
250.3297026674678320.6594053349356650.670297332532168
260.3497036222821620.6994072445643240.650296377717838
270.3200151697352880.6400303394705760.679984830264712
280.6266367310280710.7467265379438580.373363268971929
290.5703593135628290.8592813728743420.429640686437171
300.6492125894038250.701574821192350.350787410596175
310.5922074817720080.8155850364559830.407792518227992
320.5465948611353070.9068102777293860.453405138864693
330.5204091721617110.9591816556765780.479590827838289
340.5118282988918460.9763434022163070.488171701108154
350.455901248715760.9118024974315190.54409875128424
360.401129492042850.8022589840856990.59887050795715
370.4380345256856080.8760690513712160.561965474314392
380.6588252847227590.6823494305544820.341174715277241
390.7044613692466720.5910772615066560.295538630753328
400.7597356066913780.4805287866172440.240264393308622
410.7148598032479440.5702803935041110.285140196752056
420.8286312522035420.3427374955929150.171368747796458
430.82684668554170.34630662891660.1731533144583
440.7957649427207450.4084701145585110.204235057279255
450.790613110348780.4187737793024410.20938688965122
460.8032347924226550.393530415154690.196765207577345
470.769347149147070.461305701705860.23065285085293
480.7420941439450970.5158117121098060.257905856054903
490.7517173755811280.4965652488377450.248282624418872
500.7146347666002530.5707304667994930.285365233399747
510.834384323687360.331231352625280.16561567631264
520.8036994259580140.3926011480839710.196300574041986
530.7792745073198270.4414509853603470.220725492680174
540.7519329283165950.4961341433668090.248067071683405
550.7173104211475380.5653791577049240.282689578852462
560.8345607878646430.3308784242707150.165439212135357
570.863532668031660.2729346639366810.13646733196834
580.846131000669940.307737998660120.15386899933006
590.8274687794541830.3450624410916330.172531220545817
600.7974466985666130.4051066028667740.202553301433387
610.769179031629770.461641936740460.23082096837023
620.8224186884467620.3551626231064750.177581311553238
630.7944061678322830.4111876643354350.205593832167717
640.7648517217790020.4702965564419960.235148278220998
650.7325584148344220.5348831703311560.267441585165578
660.698717330235810.6025653395283810.30128266976419
670.6635791994784490.6728416010431010.33642080052155
680.6483583367037230.7032833265925530.351641663296277
690.6241074467118710.7517851065762580.375892553288129
700.7801370961381810.4397258077236390.219862903861819
710.7507631548425930.4984736903148130.249236845157406
720.7302038413326110.5395923173347780.269796158667389
730.8353016692815910.3293966614368180.164698330718409
740.9291795120458910.1416409759082170.0708204879541087
750.9171678343656370.1656643312687260.0828321656343631
760.9191758925647820.1616482148704350.0808241074352177
770.9069073894761780.1861852210476440.0930926105238221
780.932634214883250.13473157023350.0673657851167498
790.9170436375130460.1659127249739080.082956362486954
800.9115665526989190.1768668946021620.0884334473010811
810.8928197905757810.2143604188484370.107180209424219
820.9479577722216880.1040844555566240.0520422277783122
830.9352830363620470.1294339272759060.0647169636379528
840.927101533198040.145796933603920.0728984668019601
850.9169440852608920.1661118294782150.0830559147391076
860.8968300885617260.2063398228765480.103169911438274
870.8803424894963380.2393150210073230.119657510503662
880.8675389606417020.2649220787165970.132461039358298
890.8391711567435840.3216576865128320.160828843256416
900.807836148801220.3843277023975610.19216385119878
910.78025293379950.4394941324009990.2197470662005
920.8319863836436050.3360272327127890.168013616356395
930.8291580462809660.3416839074380680.170841953719034
940.7955100388441360.4089799223117290.204489961155864
950.80334933329510.3933013334097990.1966506667049
960.7665748804874640.4668502390250730.233425119512536
970.8153401077800970.3693197844398050.184659892219903
980.7794456846584320.4411086306831360.220554315341568
990.752579616380490.4948407672390210.24742038361951
1000.7102867966679530.5794264066640940.289713203332047
1010.6839316111846550.632136777630690.316068388815345
1020.6363191453316580.7273617093366830.363680854668342
1030.5862455483128820.8275089033742360.413754451687118
1040.5344658456912370.9310683086175250.465534154308763
1050.6040975936727390.7918048126545230.395902406327261
1060.5519461685679570.8961076628640850.448053831432043
1070.4986056198573720.9972112397147450.501394380142627
1080.5064835135139940.9870329729720130.493516486486006
1090.4523183667072150.904636733414430.547681633292785
1100.4184988915982670.8369977831965340.581501108401733
1110.3798280106306230.7596560212612460.620171989369377
1120.3934512925573160.7869025851146310.606548707442684
1130.7201656395822040.5596687208355920.279834360417796
1140.7166822360562860.5666355278874280.283317763943714
1150.6825361390932390.6349277218135210.317463860906761
1160.6291793845399740.7416412309200520.370820615460026
1170.6193330760379060.7613338479241880.380666923962094
1180.5900894705089210.8198210589821590.409910529491079
1190.5312247353816580.9375505292366830.468775264618342
1200.4719615408639480.9439230817278960.528038459136052
1210.4476775406987190.8953550813974380.552322459301281
1220.3869701671339260.7739403342678520.613029832866074
1230.3694370670170720.7388741340341440.630562932982928
1240.561684554752260.876630890495480.43831544524774
1250.4963421700980640.9926843401961280.503657829901936
1260.4944977271544840.9889954543089680.505502272845516
1270.4287657129971330.8575314259942650.571234287002867
1280.3617107462819090.7234214925638180.638289253718091
1290.2971147458332950.594229491666590.702885254166705
1300.2379036500243190.4758073000486370.762096349975681
1310.2252278338915960.4504556677831920.774772166108404
1320.2846833374266510.5693666748533010.715316662573349
1330.3776319459093870.7552638918187750.622368054090613
1340.3026232647886030.6052465295772060.697376735211397
1350.2340140972584560.4680281945169120.765985902741544
1360.1742880224933780.3485760449867560.825711977506622
1370.187090305659910.374180611319820.81290969434009
1380.1378993052767060.2757986105534130.862100694723294
1390.1334335919388460.2668671838776910.866566408061154
1400.0844751104155940.1689502208311880.915524889584406
1410.05255220315642920.1051044063128580.947447796843571
1420.08225226386985040.1645045277397010.91774773613015
1430.06515019875288990.130300397505780.93484980124711


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level20.0150375939849624NOK
5% type I error level60.0451127819548872OK
10% type I error level70.0526315789473684OK