Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis[t] = + 4.78653490851177 + 1.38972451003Weeks[t] + 0.00864318736817814Uselimits[t] + 0.157197219341272T20[t] -0.156530152221649T40[t] + 0.263764402248574Used[t] + 0.0403809769938891Useful[t] + 0.0357073197745367`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)4.786534908511771.6903392.83170.0052840.002642
Weeks1.389724510030.3798643.65850.0003540.000177
Uselimits0.008643187368178140.0414960.20830.8352930.417646
T200.1571972193412720.06782.31850.0218080.010904
T40-0.1565301522216490.058477-2.67680.0082840.004142
Used0.2637644022485740.044815.886300
Useful0.04038097699388910.0455620.88630.3769190.188459
`Outcome\r`0.03570731977453670.0395380.90310.3679570.183979


Multiple Linear Regression - Regression Statistics
Multiple R0.53293320401624
R-squared0.284017799943015
Adjusted R-squared0.249689886241653
F-TEST (value)8.27366913159492
F-TEST (DF numerator)7
F-TEST (DF denominator)146
p-value1.74130451169319e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.232942707861295
Sum Squared Residuals7.92229655127988


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11313.0940250312876-0.0940250312875835
21312.98184538620860.0181546137913614
31312.98184538620860.0181546137913596
41312.98184538620860.0181546137913596
51312.98184538620860.0181546137913596
61312.97787585605980.0221241439401854
71312.98184538620860.0181546137913596
81313.1383755384303-0.138375538430289
91312.94613806643410.0538619335658963
101312.97320219884050.0267978011595378
111313.1297323510621-0.129732351062111
121312.98184538620860.0181546137913596
131313.2859907654511-0.285990765451103
141313.1297323510621-0.129732351062111
151313.2502834456766-0.250283445676567
161313.4068135978982-0.406813597898215
171413.43387773030460.566122269695426
181313.1297323510621-0.129732351062111
191312.94613806643410.0538619335658963
201413.40681359789820.593186402101784
211313.0135831758344-0.0135831758343513
221313.2416402583084-0.241640258308389
231312.9865190434280.0134809565720072
241312.97787585605980.0221241439401854
251313.3664326209043-0.366432620904326
261313.2859907654511-0.285990765451103
271312.93749487906590.0625051209340745
281313.2456097884572-0.245609788457214
291312.94613806643410.0538619335658963
301313.0222263632025-0.0222263632025295
311312.98184538620860.0181546137913596
321312.97320219884050.0267978011595378
331313.0135831758344-0.0135831758343513
341313.1026682186558-0.102668218655752
351312.98184538620860.0181546137913596
361312.98184538620860.0181546137913596
371313.4338777303046-0.433877730304574
381313.2099024686827-0.209902468682678
391312.9865190434280.0134809565720072
401313.1787565154242-0.178756515424178
411413.25028344567660.749716554323433
421313.2099024686827-0.209902468682678
431312.97787585605980.0221241439401854
441313.1297323510621-0.129732351062111
451313.0222263632025-0.0222263632025295
461312.9865190434280.0134809565720072
471312.98184538620860.0181546137913596
481312.94613806643410.0538619335658963
491312.9865190434280.0134809565720072
501312.98184538620860.0181546137913596
511313.4021399406789-0.402139940678863
521413.43387773030460.566122269695426
531312.94613806643410.0538619335658963
541413.24560978845720.754390211542785
551312.98184538620860.0181546137913596
561313.3664326209043-0.366432620904326
571313.2502834456766-0.250283445676567
581312.94613806643410.0538619335658963
591312.94613806643410.0538619335658963
601413.398170410530.601829589469963
611313.0940250312876-0.0940250312875741
621313.2859907654511-0.285990765451103
631312.98184538620860.0181546137913596
641313.0940250312876-0.0940250312875741
651312.98184538620860.0181546137913596
661312.98184538620860.0181546137913596
671413.44252091767280.557479082327248
681312.97320219884050.0267978011595378
691312.94613806643410.0538619335658963
701313.2456097884572-0.245609788457214
711312.98184538620860.0181546137913596
721312.94613806643410.0538619335658963
731313.2099024686827-0.209902468682678
741313.236966601089-0.236966601089036
751312.94613806643410.0538619335658963
761313.1430491956496-0.143049195649641
771312.94613806643410.0538619335658963
781313.2502834456766-0.250283445676567
791413.36643262090430.633567379095674
801313.1787565154242-0.178756515424178
811312.98184538620860.0181546137913596
821313.2012592813145-0.2012592813145
831312.98184538620860.0181546137913596
841413.24560978845720.754390211542785
851312.9865190434280.0134809565720072
861312.97320219884050.0267978011595378
871312.98092513595260.0190748640474063
881313.0874923188599-0.0874923188598961
891313.0252756430953-0.0252756430953086
901312.98956832332080.0104316766792281
911313.0656566200892-0.0656566200891976
921312.85943523638590.140564763614141
931313.057013432721-0.0570134327210195
941313.0252756430953-0.0252756430953086
951312.8680784237540.131921576245963
961312.98956832332080.0104316766792281
971312.85943523638590.140564763614141
981313.0252756430953-0.0252756430953086
991313.0166324557271-0.0166324557271304
1001312.98956832332080.0104316766792281
1011312.98092513595260.0190748640474063
1021313.0252756430953-0.0252756430953086
1031313.0252756430953-0.0252756430953086
1041313.0252756430953-0.0252756430953086
1051313.1318428260026-0.131842826002611
1061313.0252756430953-0.0252756430953086
1071313.0252756430953-0.0252756430953086
1081313.1231996386344-0.123199638634433
1091313.0252756430953-0.0252756430953086
1101313.0166324557271-0.0166324557271304
1111313.1635806156283-0.163580615628322
1121312.8680784237540.131921576245963
1131313.2890400453439-0.289040045343882
1141313.1231996386344-0.123199638634433
1151313.0166324557271-0.0166324557271304
1161313.0252756430953-0.0252756430953086
1171312.98092513595260.0190748640474063
1181313.0166324557271-0.0166324557271304
1191313.0252756430953-0.0252756430953086
1201312.98956832332080.0104316766792281
1211313.0166324557271-0.0166324557271304
1221313.0252756430953-0.0252756430953086
1231313.1231996386344-0.123199638634433
1241313.2937137025632-0.293713702563235
1251312.98956832332080.0104316766792281
1261312.8680784237540.131921576245963
1271313.0656566200892-0.0656566200891976
1281312.98956832332080.0104316766792281
1291313.0252756430953-0.0252756430953086
1301312.98956832332080.0104316766792281
1311313.0166324557271-0.0166324557271304
1321312.98092513595260.0190748640474063
1331313.2803968579757-0.280396857975704
1341313.0252756430953-0.0252756430953086
1351313.0252756430953-0.0252756430953086
1361313.0252756430953-0.0252756430953086
1371313.2850705151951-0.285070515195057
1381313.1278732958538-0.127873295853785
1391312.8680784237540.131921576245963
1401313.0252756430953-0.0252756430953086
1411413.25333272556930.746667274430654
1421313.0961355062281-0.0961355062280742
1431313.0166324557271-0.0166324557271304
1441313.0299493003147-0.0299493003146609
1451313.0656566200892-0.0656566200891976
1461312.83237110397950.1676288960205
1471313.1318428260026-0.131842826002611
1481312.8680784237540.131921576245963
1491313.0166324557271-0.0166324557271304
1501313.0299493003147-0.0299493003146609
1511312.98956832332080.0104316766792281
1521413.28039685797570.719603142024296
1531413.32077783496960.679222165030407
1541313.2803968579757-0.280396857975704


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
118.99192608646427e-451.79838521729285e-441
125.89374652468355e-571.17874930493671e-561
134.27548384608833e-728.55096769217666e-721
143.75440630098831e-857.50881260197662e-851
154.09221658699781e-998.18443317399562e-991
16001
170.5523333815489510.8953332369020980.447666618451049
180.4988084336463210.9976168672926420.501191566353679
190.459033864114810.918067728229620.54096613588519
200.8982567133753030.2034865732493950.101743286624697
210.8583044430222680.2833911139554640.141695556977732
220.8473365983497640.3053268033004720.152663401650236
230.7976021754926950.404795649014610.202397824507305
240.7415485237812760.5169029524374470.258451476218724
250.7445444509554490.5109110980891030.255455549044551
260.7466036188898470.5067927622203060.253396381110153
270.7091237548648950.581752490270210.290876245135105
280.6616193108631890.6767613782736210.338380689136811
290.6103462328401840.7793075343196330.389653767159816
300.5525276734868550.8949446530262910.447472326513145
310.4910988760098230.9821977520196470.508901123990177
320.4308111728762480.8616223457524950.569188827123752
330.3730625174700810.7461250349401610.626937482529919
340.3256477874325640.6512955748651270.674352212567436
350.2741575242690040.5483150485380070.725842475730996
360.2271280343359440.4542560686718890.772871965664056
370.3078687086796260.6157374173592520.692131291320374
380.2686946014636720.5373892029273430.731305398536328
390.2228094777586880.4456189555173770.777190522241312
400.2155302899343990.4310605798687980.784469710065601
410.7569086794846660.4861826410306670.243091320515334
420.7325202230834310.5349595538331380.267479776916569
430.6871915203641430.6256169592717150.312808479635857
440.651796463234910.6964070735301810.34820353676509
450.6020677141228910.7958645717542170.397932285877109
460.5516443232238990.8967113535522020.448355676776101
470.5001761343952880.9996477312094240.499823865604712
480.4488654744874810.8977309489749610.551134525512519
490.3991407816870890.7982815633741790.600859218312911
500.3505868151416970.7011736302833930.649413184858303
510.4301763542352190.8603527084704380.569823645764781
520.7010426663208860.5979146673582290.298957333679114
530.6593231632956520.6813536734086970.340676836704348
540.9475304379338190.1049391241323610.0524695620661807
550.9328010926774260.1343978146451470.0671989073225737
560.961201450783540.07759709843291960.0387985492164598
570.9608453897801720.07830922043965680.0391546102198284
580.950410315354790.0991793692904190.0495896846452095
590.9378469326718290.1243061346563420.0621530673281712
600.98236560706320.03526878587359970.0176343929367998
610.9796657861338690.04066842773226180.0203342138661309
620.9812268563454510.03754628730909730.0187731436545487
630.9750304891480260.04993902170394880.0249695108519744
640.973969686813230.05206062637354090.0260303131867704
650.9658798832149410.06824023357011820.0341201167850591
660.9558212911963840.08835741760723250.0441787088036163
670.9835133464391450.032973307121710.016486653560855
680.977949550984730.04410089803053940.0220504490152697
690.9713953240342380.05720935193152450.0286046759657622
700.9721837279634170.05563254407316670.0278162720365834
710.9636559022024680.07268819559506380.0363440977975319
720.9537002209569750.09259955808604910.0462997790430245
730.9532315650161390.09353686996772280.0467684349838614
740.956405065582380.08718986883523980.0435949344176199
750.9447983961815720.1104032076368560.0552016038184278
760.9428792058137290.1142415883725420.0571207941862711
770.9286201347207460.1427597305585080.0713798652792541
780.9346838433542230.1306323132915540.0653161566457768
790.983970195257870.03205960948426020.0160298047421301
800.9800563358574440.03988732828511160.0199436641425558
810.9746382968387490.05072340632250090.0253617031612505
820.9806367597629090.03872648047418110.0193632402370906
830.9787858769654730.04242824606905490.0212141230345274
840.9980797548025130.003840490394973810.0019202451974869
850.9971720816549450.005655836690110560.00282791834505528
860.9958918117334140.008216376533172430.00410818826658621
870.9941020866787880.01179582664242440.0058979133212122
880.9920758431204010.01584831375919750.00792415687959876
890.9889564548285280.02208709034294410.0110435451714721
900.9847468331772560.03050633364548880.0152531668227444
910.9794112454063680.04117750918726420.0205887545936321
920.9749279702491290.05014405950174230.0250720297508712
930.9666797868326570.06664042633468650.0333202131673432
940.9561894821604470.08762103567910610.0438105178395531
950.9468635575729190.1062728848541610.0531364424270806
960.9317005481804960.1365989036390080.0682994518195041
970.9197238524347110.1605522951305780.0802761475652889
980.8989070581897110.2021858836205780.101092941810289
990.8741146388177720.2517707223644560.125885361182228
1000.8455326680394340.3089346639211320.154467331960566
1010.8127446867836950.374510626432610.187255313216305
1020.7758857491127620.4482285017744750.224114250887238
1030.7350833720068250.5298332559863490.264916627993174
1040.690662478624970.6186750427500590.30933752137503
1050.6604520530871560.6790958938256880.339547946912844
1060.6111542500828860.7776914998342270.388845749917114
1070.5598492397972450.880301520405510.440150760202755
1080.5206753369391790.9586493261216420.479324663060821
1090.4675849245528010.9351698491056020.532415075447199
1100.4138453110894930.8276906221789860.586154688910507
1110.3761257724052080.7522515448104150.623874227594792
1120.3398021266766840.6796042533533690.660197873323316
1130.3871091110111260.7742182220222510.612890888988874
1140.3512368858714260.7024737717428530.648763114128574
1150.2999936728069250.599987345613850.700006327193075
1160.2541314527614290.5082629055228570.745868547238571
1170.2106758721639530.4213517443279060.789324127836047
1180.1710330704792250.342066140958450.828966929520775
1190.1379845482831660.2759690965663330.862015451716834
1200.1079358618894470.2158717237788940.892064138110553
1210.08266694129128930.1653338825825790.917333058708711
1220.06312687389987770.1262537477997550.936873126100122
1230.05275081455300440.1055016291060090.947249185446996
1240.06742503061161040.1348500612232210.93257496938839
1250.0492769258926630.0985538517853260.950723074107337
1260.03923075603255240.07846151206510470.960769243967448
1270.02780693830932510.05561387661865030.972193061690675
1280.01890541482983520.03781082965967030.981094585170165
1290.01284483484865760.02568966969731530.987155165151342
1300.008264031473215040.01652806294643010.991735968526785
1310.005062649773192640.01012529954638530.994937350226807
1320.003067285071096140.006134570142192290.996932714928904
1330.006080312022681740.01216062404536350.993919687977318
1340.003847260567930350.007694521135860710.99615273943207
1350.002430700754829840.004861401509659690.99756929924517
1360.00157596998362880.00315193996725760.998424030016371
1370.002878698405097120.005757396810194250.997121301594903
1380.002313757908088380.004627515816176770.997686242091912
1390.001803268059360550.003606536118721090.998196731940639
1400.0008144158384734230.001628831676946850.999185584161527
1410.01260926413107910.02521852826215820.987390735868921
1420.00937833368108180.01875666736216360.990621666318918
1430.004354694776193480.008709389552386950.995645305223807


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level180.135338345864662NOK
5% type I error level400.300751879699248NOK
10% type I error level590.443609022556391NOK