Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis[t] = + 0.53368885463191 + 0.320902431164541Weeks[t] -0.0139129710885322UsedLimit[t] -0.162197904481011T40[t] -0.237252262135127Used[t] + 0.0504952718491186Useful[t] + 0.02990124474082Outcome[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.533688854631910.4706131.1340.2586280.129314
Weeks0.3209024311645410.1124552.85360.0049470.002473
UsedLimit-0.01391297108853220.042046-0.33090.7411910.370595
T40-0.1621979044810110.059289-2.73570.0069910.003496
Used-0.2372522621351270.043967-5.396200
Useful0.05049527184911860.0460231.09720.2743540.137177
Outcome0.029901244740820.0400420.74670.4564080.228204


Multiple Linear Regression - Regression Statistics
Multiple R0.507598175252901
R-squared0.257655907520075
Adjusted R-squared0.227356148643343
F-TEST (value)8.50356296788681
F-TEST (DF numerator)6
F-TEST (DF denominator)147
p-value6.22562983387809e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.236384173347197
Sum Squared Residuals8.21398917912852


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.102587035133486-0.102587035133486
20-0.01579665351817230.0157966535181723
30-0.01579665351817210.0157966535181721
40-0.01579665351817210.0157966535181721
50-0.01579665351817230.0157966535181723
60-0.009115597498405560.00911559749840556
70-0.0157966535181720.015796653518172
800.146401250962839-0.146401250962839
90-0.0456978982589920.045697898258992
100-0.02970962460670420.0297096246067042
1100.132488279874306-0.132488279874306
120-0.0157966535181720.015796653518172
1300.271950880466074-0.271950880466074
1400.132488279874306-0.132488279874306
1500.242049635725254-0.242049635725254
1600.404247540206265-0.404247540206265
1710.4202358138585520.579764186141448
1800.132488279874306-0.132488279874306
190-0.0456978982589920.045697898258992
2010.4042475402062650.595752459793735
2100.0207856472424144-0.0207856472424144
2200.228136664636722-0.228136664636722
2300.00479737359012656-0.00479737359012656
240-0.00911559749840560.0091155974984056
2500.353752268357146-0.353752268357146
2600.271950880466074-0.271950880466074
270-0.05961086934752420.0596108693475242
2800.221455608616955-0.221455608616955
290-0.0456978982589920.045697898258992
3000.0346986183309466-0.0346986183309466
310-0.0157966535181720.015796653518172
320-0.02970962460670420.0297096246067042
3300.0207856472424144-0.0207856472424144
3400.116500006222019-0.116500006222019
350-0.0157966535181720.015796653518172
360-0.0157966535181720.015796653518172
3700.420235813858552-0.420235813858552
3800.191554363876135-0.191554363876135
3900.00479737359012656-0.00479737359012656
4000.196896522811957-0.196896522811957
4110.2420496357252540.757950364274746
4200.191554363876135-0.191554363876135
430-0.00911559749840560.0091155974984056
4400.132488279874306-0.132488279874306
4500.0346986183309466-0.0346986183309466
4600.00479737359012656-0.00479737359012656
470-0.0157966535181720.015796653518172
480-0.0456978982589920.045697898258992
4900.00479737359012656-0.00479737359012656
500-0.0157966535181720.015796653518172
5100.383653513097966-0.383653513097966
5210.4202358138585520.579764186141448
530-0.0456978982589920.045697898258992
5410.2214556086169550.778544391383045
550-0.0157966535181720.015796653518172
5600.353752268357146-0.353752268357146
5700.242049635725254-0.242049635725254
580-0.0456978982589920.045697898258992
590-0.0456978982589920.045697898258992
6010.3903345691177320.609665430882268
6100.102587035133486-0.102587035133486
6200.271950880466074-0.271950880466074
630-0.0157966535181720.015796653518172
6400.102587035133486-0.102587035133486
650-0.0157966535181720.015796653518172
660-0.0157966535181720.015796653518172
6710.4341487849470850.565851215052915
680-0.02970962460670420.0297096246067042
690-0.0456978982589920.045697898258992
7000.221455608616955-0.221455608616955
710-0.0157966535181720.015796653518172
720-0.0456978982589920.045697898258992
7300.191554363876135-0.191554363876135
7400.207542637528423-0.207542637528423
750-0.0456978982589920.045697898258992
7600.166995278071137-0.166995278071137
770-0.0456978982589920.045697898258992
7800.242049635725254-0.242049635725254
7910.3537522683571460.646247731642854
8000.196896522811957-0.196896522811957
810-0.0157966535181720.015796653518172
8200.177641392787603-0.177641392787603
830-0.0157966535181720.015796653518172
8410.2214556086169550.778544391383045
8500.00479737359012656-0.00479737359012656
860-0.02970962460670420.0297096246067042
870-0.05262411375256410.0526241137525641
8800.184628148382563-0.184628148382563
890-0.008809897923211960.00880989792321196
900-0.0387111426640320.038711142664032
9100.0416853739259066-0.0416853739259066
920-0.02272286901174410.0227228690117441
9300.0277724028373745-0.0277724028373745
940-0.008809897923211960.00880989792321196
950-0.008809897923211960.00880989792321196
960-0.0387111426640320.038711142664032
970-0.02272286901174410.0227228690117441
980-0.008809897923211960.00880989792321196
990-0.02272286901174410.0227228690117441
1000-0.0387111426640320.038711142664032
1010-0.05262411375256410.0526241137525641
1020-0.008809897923211960.00880989792321196
1030-0.008809897923211960.00880989792321196
1040-0.008809897923211960.00880989792321196
10500.228442364211915-0.228442364211915
1060-0.008809897923211960.00880989792321196
1070-0.008809897923211960.00880989792321196
10800.214529393123383-0.214529393123383
1090-0.008809897923211960.00880989792321196
1100-0.02272286901174410.0227228690117441
11100.265024664972502-0.265024664972502
1120-0.008809897923211960.00880989792321196
11300.228442364211915-0.228442364211915
11400.214529393123383-0.214529393123383
1150-0.02272286901174410.0227228690117441
1160-0.008809897923211960.00880989792321196
1170-0.05262411375256410.0526241137525641
1180-0.02272286901174410.0227228690117441
1190-0.008809897923211960.00880989792321196
1200-0.0387111426640320.038711142664032
1210-0.02272286901174410.0227228690117441
1220-0.008809897923211960.00880989792321196
12300.214529393123383-0.214529393123383
12400.249036391320214-0.249036391320214
1250-0.0387111426640320.038711142664032
1260-0.008809897923211960.00880989792321196
12700.0416853739259066-0.0416853739259066
1280-0.0387111426640320.038711142664032
1290-0.008809897923211960.00880989792321196
1300-0.0387111426640320.038711142664032
1310-0.02272286901174410.0227228690117441
1320-0.05262411375256410.0526241137525641
13300.214529393123383-0.214529393123383
1340-0.008809897923211960.00880989792321196
1350-0.008809897923211960.00880989792321196
1360-0.008809897923211960.00880989792321196
13700.235123420231682-0.235123420231682
13800.235123420231682-0.235123420231682
1390-0.008809897923211960.00880989792321196
1400-0.008809897923211960.00880989792321196
14110.1985411194710950.801458880528905
14200.198541119471095-0.198541119471095
1430-0.02272286901174410.0227228690117441
14400.0117841291850866-0.0117841291850866
14500.0416853739259066-0.0416853739259066
1460-0.0387111426640320.038711142664032
14700.228442364211915-0.228442364211915
1480-0.008809897923211960.00880989792321196
1490-0.02272286901174410.0227228690117441
15000.0117841291850866-0.0117841291850866
1510-0.0387111426640320.038711142664032
15210.2145293931233830.785470606876617
15310.2650246649725020.734975335027498
15400.214529393123383-0.214529393123383


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
10001
11001
12001
13001
14001
15001
16001
170.4349212397831150.869842479566230.565078760216885
180.3860876607659540.7721753215319070.613912339234046
190.3512631842966010.7025263685932020.648736815703399
200.842640537001820.3147189259963590.15735946299818
210.7912499187248950.417500162550210.208750081275105
220.7775542658615050.444891468276990.222445734138495
230.7174996445870510.5650007108258980.282500355412949
240.6530403334382240.6939193331235510.346959666561776
250.655192123065040.6896157538699210.34480787693496
260.6564633291239420.6870733417521160.343536670876058
270.614782013086750.7704359738265010.38521798691325
280.5602022219344970.8795955561310050.439797778065503
290.5065322492764190.9869355014471610.493467750723581
300.448466049891120.8969320997822410.55153395010888
310.388882666345160.7777653326903210.61111733365484
320.3326229799469530.6652459598939060.667377020053047
330.2808026990130250.561605398026050.719197300986975
340.240221882190560.480443764381120.75977811780944
350.1969491893068710.3938983786137420.803050810693129
360.1588149992886290.3176299985772590.84118500071137
370.2218880778038910.4437761556077810.778111922196109
380.1874762889910610.3749525779821220.812523711008939
390.1510425749011080.3020851498022160.848957425098892
400.1465410345260490.2930820690520980.853458965473951
410.664694599514990.670610800970020.33530540048501
420.6335846805439760.7328306389120470.366415319456024
430.5825625048854220.8348749902291570.417437495114578
440.5447477857785110.9105044284429780.455252214221489
450.4929928383563550.985985676712710.507007161643645
460.4416757546068170.8833515092136340.558324245393183
470.3915561900871090.7831123801742180.608443809912891
480.3429487484534420.6858974969068850.657051251546558
490.2973150306623420.5946300613246840.702684969337658
500.2547866363036850.509573272607370.745213363696315
510.3109201250043350.6218402500086690.689079874995665
520.5842462235668490.8315075528663030.415753776433151
530.5379345232297460.9241309535405080.462065476770254
540.9068913542378580.1862172915242850.0931086457621423
550.8845356418551310.2309287162897380.115464358144869
560.9213881932321210.1572236135357570.0786118067678787
570.9200770523190640.1598458953618720.0799229476809359
580.9019011667133620.1961976665732770.0980988332866384
590.8807678627182290.2384642745635420.119232137281771
600.9596842699840080.08063146003198370.0403157300159919
610.9544453563747220.09110928725055650.0455546436252782
620.9564002348130950.08719953037380910.0435997651869046
630.9442901419817860.1114197160364290.0557098580182143
640.942549375862380.114901248275240.0574506241376199
650.9275878346759190.1448243306481630.0724121653240815
660.9097956255939010.1804087488121980.0902043744060988
670.9627613188089520.07447736238209530.0372386811910476
680.9519671731260610.09606565374787780.0480328268739389
690.9396885452247520.1206229095504960.0603114547752479
700.9377293666173390.1245412667653230.0622706333826613
710.9219104193509560.1561791612980890.0780895806490443
720.9040464438049520.1919071123900960.095953556195048
730.899096711515870.201806576968260.10090328848413
740.8978907138692870.2042185722614270.102109286130713
750.8766394736934680.2467210526130640.123360526306532
760.8769671780250850.2460656439498310.123032821974916
770.8531102070236140.2937795859527720.146889792976386
780.8596615389030370.2806769221939250.140338461096963
790.9597576002907790.08048479941844290.0402423997092215
800.9516226537114280.09675469257714420.0483773462885721
810.9410101423178070.1179797153643860.0589898576821928
820.9478226260305970.1043547479388060.052177373969403
830.9435363740689470.1129272518621070.0564636259310535
840.9943282737132990.01134345257340240.00567172628670118
850.9919984147624510.01600317047509850.00800158523754923
860.9888811652639020.02223766947219530.0111188347360976
870.9847168807255020.03056623854899550.0152831192744978
880.9829227760621780.03415444787564450.0170772239378222
890.9770792096323630.04584158073527420.0229207903676371
900.9697515117115740.0604969765768520.030248488288426
910.9602184430530310.07956311389393890.0397815569469694
920.9483797969562910.1032404060874190.0516202030437094
930.9337657654792490.1324684690415020.0662342345207508
940.916068312744860.1678633745102810.0839316872551403
950.8949450442419080.2101099115161830.105054955758092
960.8706492641858090.2587014716283820.129350735814191
970.8420774991385850.3158450017228310.157922500861416
980.8093975255162590.3812049489674810.190602474483741
990.7728383148114980.4543233703770050.227161685188502
1000.7329317014083620.5341365971832770.267068298591638
1010.6899397091861190.6201205816277620.310060290813881
1020.642932153884620.714135692230760.35706784611538
1030.5934399632456770.8131200735086450.406560036754323
1040.5421858986068620.9156282027862760.457814101393138
1050.5287621954627790.9424756090744420.471237804537221
1060.4762373877703750.952474775540750.523762612229625
1070.423860754098980.847721508197960.57613924590102
1080.4110561008703890.8221122017407780.588943899129611
1090.3598919188153970.7197838376307950.640108081184603
1100.311124131686690.6222482633733790.68887586831331
1110.3089696569145240.6179393138290490.691030343085476
1120.262618149820860.525236299641720.73738185017914
1130.2568994620543980.5137989241087960.743100537945602
1140.2574435082032360.5148870164064730.742556491796764
1150.2150520227887230.4301040455774460.784947977211277
1160.1763104563529360.3526209127058720.823689543647064
1170.1430750341320280.2861500682640550.856924965867972
1180.1134800908713950.2269601817427890.886519909128605
1190.08814995841458310.1762999168291660.911850041585417
1200.06741705374288130.1348341074857630.932582946257119
1210.05041192351797520.100823847035950.949588076482025
1220.03680950478120570.07361900956241140.963190495218794
1230.03959512630157470.07919025260314940.960404873698425
1240.04029589654843410.08059179309686810.959704103451566
1250.0288117823777050.057623564755410.971188217622295
1260.01995999842265530.03991999684531050.980040001577345
1270.01352373313107770.02704746626215540.986476266868922
1280.008951118420485110.01790223684097020.991048881579515
1290.005706084865149070.01141216973029810.994293915134851
1300.003564330868767140.007128661737534280.996435669131233
1310.002132581409922170.004265162819844350.997867418590078
1320.001283279819957990.002566559639915980.998716720180042
1330.001713052097405190.003426104194810370.998286947902595
1340.0009532549293622470.001906509858724490.999046745070638
1350.0005088941262380070.001017788252476010.999491105873762
1360.0002599680167615770.0005199360335231550.999740031983238
1370.0003423959050912450.0006847918101824910.999657604094909
1380.002031058959096340.004062117918192690.997968941040904
1390.001162797215261550.00232559443052310.998837202784738
1400.0007154459650391530.001430891930078310.999284554034961
1410.02386478780650960.04772957561301920.97613521219349
1420.01774222318998530.03548444637997050.982257776810015
1430.009409336631560250.01881867326312050.99059066336844
1440.004368220558058890.008736441116117780.995631779441941


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level190.140740740740741NOK
5% type I error level320.237037037037037NOK
10% type I error level450.333333333333333NOK