Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis[t] = + 0.0910066789336801 + 0.327797011313012Weeks[t] + 0.0112126065997628UsedLimit[t] + 0.164784010795628T20[t] -0.278762966742737Used[t] + 0.0452887616442128Useful[t] + 0.0352157655598181Outcome[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.09100667893368010.6201280.14680.8835270.441763
Weeks0.3277970113130120.1314822.49310.0137720.006886
UsedLimit0.01121260659976280.0416750.2690.7882690.394134
T200.1647840107956280.0691472.38310.0184450.009223
Used-0.2787629667427370.045381-6.142700
Useful0.04528876164421280.046470.97460.3313670.165683
Outcome0.03521576555981810.0403590.87260.3843190.192159


Multiple Linear Regression - Regression Statistics
Multiple R0.498878543849604
R-squared0.248879801513502
Adjusted R-squared0.218221834228338
F-TEST (value)8.1179485645138
F-TEST (DF numerator)6
F-TEST (DF denominator)147
p-value1.38302308716476e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.237777352872119
Sum Squared Residuals8.31109622221424


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10-0.01266011075220180.0126601107522018
200.0113430482078533-0.0113430482078533
300.0113430482078535-0.0113430482078535
400.0113430482078535-0.0113430482078535
500.0113430482078537-0.0113430482078537
600.032628650892011-0.032628650892011
700.0113430482078535-0.0113430482078535
800.0113430482078535-0.0113430482078535
90-0.02387271735196450.0238727173519645
1000.0225556548076163-0.0225556548076163
1100.0225556548076163-0.0225556548076163
1200.0113430482078535-0.0113430482078535
1300.335394776594803-0.335394776594803
1400.0225556548076163-0.0225556548076163
1500.300179011034985-0.300179011034985
1600.300179011034985-0.300179011034985
1710.3466073831945660.653392616805434
1800.0225556548076163-0.0225556548076163
190-0.02387271735196450.0238727173519645
2010.3001790110349850.699820988965015
2100.067844416451829-0.067844416451829
2200.311391617634748-0.311391617634748
2300.0214160442922482-0.0214160442922482
2400.032628650892011-0.032628650892011
2500.254890249390772-0.254890249390772
2600.335394776594803-0.335394776594803
270-0.01266011075220180.0126601107522018
2800.29010601495059-0.29010601495059
290-0.02387271735196450.0238727173519645
3000.0566318098520663-0.0566318098520663
3100.0113430482078535-0.0113430482078535
3200.0225556548076163-0.0225556548076163
3300.067844416451829-0.067844416451829
340-0.02387271735196450.0238727173519645
3500.0113430482078535-0.0113430482078535
3600.0113430482078535-0.0113430482078535
3700.346607383194566-0.346607383194566
3800.254890249390772-0.254890249390772
3900.0214160442922482-0.0214160442922482
4000.0566318098520663-0.0566318098520663
4110.3001790110349850.699820988965015
4200.254890249390772-0.254890249390772
4300.032628650892011-0.032628650892011
4400.0225556548076163-0.0225556548076163
4500.0566318098520663-0.0566318098520663
4600.0214160442922482-0.0214160442922482
4700.0113430482078535-0.0113430482078535
480-0.02387271735196450.0238727173519645
4900.0214160442922482-0.0214160442922482
5000.0113430482078535-0.0113430482078535
5100.29010601495059-0.29010601495059
5210.3466073831945660.653392616805434
530-0.02387271735196450.0238727173519645
5410.290106014950590.70989398504941
5500.0113430482078535-0.0113430482078535
5600.254890249390772-0.254890249390772
5700.300179011034985-0.300179011034985
580-0.02387271735196450.0238727173519645
590-0.02387271735196450.0238727173519645
6010.3113916176347480.688608382365252
610-0.01266011075220180.0126601107522018
6200.335394776594803-0.335394776594803
6300.0113430482078535-0.0113430482078535
640-0.01266011075220180.0126601107522018
6500.0113430482078535-0.0113430482078535
6600.0113430482078535-0.0113430482078535
6710.3353947765948030.664605223405197
6800.0225556548076163-0.0225556548076163
690-0.02387271735196450.0238727173519645
7000.29010601495059-0.29010601495059
7100.0113430482078535-0.0113430482078535
720-0.02387271735196450.0238727173519645
7300.254890249390772-0.254890249390772
7400.301318621550353-0.301318621550353
750-0.02387271735196450.0238727173519645
7600.0214160442922482-0.0214160442922482
770-0.02387271735196450.0238727173519645
7800.300179011034985-0.300179011034985
7910.2548902493907720.745109750609228
8000.0566318098520663-0.0566318098520663
8100.0113430482078535-0.0113430482078535
8200.266102855990535-0.266102855990535
8300.0113430482078535-0.0113430482078535
8410.290106014950590.70989398504941
8500.0214160442922482-0.0214160442922482
8600.0225556548076163-0.0225556548076163
870-0.009118090195714760.00911809019571476
8800.104860865751394-0.104860865751394
8900.0148850687643405-0.0148850687643405
900-0.02033069679547750.0203306967954775
9100.0601738304085533-0.0601738304085533
920-0.1386863354315250.138686335431525
9300.0713864370083161-0.0713864370083161
9400.0148850687643405-0.0148850687643405
950-0.1498989420312880.149898942031288
960-0.02033069679547750.0203306967954775
970-0.1386863354315250.138686335431525
9800.0148850687643405-0.0148850687643405
9900.0260976753641033-0.0260976753641033
1000-0.02033069679547750.0203306967954775
1010-0.009118090195714760.00911809019571476
10200.0148850687643405-0.0148850687643405
10300.0148850687643405-0.0148850687643405
10400.0148850687643405-0.0148850687643405
10500.128864024711449-0.128864024711449
10600.0148850687643405-0.0148850687643405
10700.0148850687643405-0.0148850687643405
10800.140076631311212-0.140076631311212
10900.0148850687643405-0.0148850687643405
11000.0260976753641033-0.0260976753641033
11100.185365392955425-0.185365392955425
1120-0.1498989420312880.149898942031288
11300.293648035507077-0.293648035507077
11400.140076631311212-0.140076631311212
11500.0260976753641033-0.0260976753641033
11600.0148850687643405-0.0148850687643405
1170-0.009118090195714760.00911809019571476
11800.0260976753641033-0.0260976753641033
11900.0148850687643405-0.0148850687643405
1200-0.02033069679547750.0203306967954775
12100.0260976753641033-0.0260976753641033
12200.0148850687643405-0.0148850687643405
12300.140076631311212-0.140076631311212
12400.303721031591472-0.303721031591472
1250-0.02033069679547750.0203306967954775
1260-0.1498989420312880.149898942031288
12700.0601738304085533-0.0601738304085533
1280-0.02033069679547750.0203306967954775
12900.0148850687643405-0.0148850687643405
1300-0.02033069679547750.0203306967954775
13100.0260976753641033-0.0260976753641033
1320-0.009118090195714760.00911809019571476
13300.30486064210684-0.30486064210684
13400.0148850687643405-0.0148850687643405
13500.0148850687643405-0.0148850687643405
13600.0148850687643405-0.0148850687643405
13700.314933638191235-0.314933638191235
13800.150149627395607-0.150149627395607
1390-0.1498989420312880.149898942031288
14000.0148850687643405-0.0148850687643405
14110.2584322699472590.741567730052741
14200.0936482591516314-0.0936482591516314
14300.0260976753641033-0.0260976753641033
14400.0249580648487353-0.0249580648487353
14500.0601738304085533-0.0601738304085533
1460-0.1851147075911060.185114707591106
14700.128864024711449-0.128864024711449
1480-0.1498989420312880.149898942031288
14900.0260976753641033-0.0260976753641033
15000.0249580648487353-0.0249580648487353
1510-0.02033069679547750.0203306967954775
15210.304860642106840.69513935789316
15310.3501494037510530.649850596248947
15400.30486064210684-0.30486064210684


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
10001
11001
12001
13001
14001
15001
16001
170.4345159605882350.8690319211764710.565484039411765
180.3788699415992260.7577398831984520.621130058400774
190.3415868338902240.6831736677804470.658413166109776
200.8838770413191450.2322459173617090.116122958680855
210.8413917859872480.3172164280255040.158608214012752
220.8969525873702960.2060948252594070.103047412629704
230.8630121264751120.2739757470497760.136987873524888
240.8195339496617950.3609321006764110.180466050338205
250.8078728716449490.3842542567101020.192127128355051
260.8320930943381810.3358138113236370.167906905661819
270.7861338134391820.4277323731216370.213866186560818
280.7732963278336430.4534073443327130.226703672166357
290.7247590611185030.5504818777629940.275240938881497
300.6705770353569710.6588459292860590.329422964643029
310.6118576013641570.7762847972716850.388142398635843
320.5511467708376170.8977064583247660.448853229162383
330.4978387980109530.9956775960219060.502161201989047
340.4390207873285820.8780415746571630.560979212671418
350.3804680406650790.7609360813301570.619531959334921
360.3249697377649050.6499394755298090.675030262235095
370.3523735541550360.7047471083100720.647626445844964
380.3280085864103320.6560171728206640.671991413589668
390.2778721197168180.5557442394336360.722127880283182
400.2338460200660070.4676920401320140.766153979933993
410.6891197398633480.6217605202733040.310880260136652
420.6760724055012160.6478551889975670.323927594498784
430.62987053662270.74025892675460.3701294633773
440.5784437986457860.8431124027084290.421556201354214
450.529040334918290.941919330163420.47095966508171
460.4778351055677220.9556702111354450.522164894432278
470.4262966483902860.8525932967805730.573703351609714
480.3753561091340940.7507122182681870.624643890865906
490.3282861724772390.6565723449544780.671713827522761
500.283365527082550.5667310541651010.71663447291745
510.2830239275019730.5660478550039450.716976072498027
520.6185206331722120.7629587336555760.381479366827788
530.5716173063682020.8567653872635970.428382693631798
540.8788207519883330.2423584960233350.121179248011667
550.8520425847072730.2959148305854540.147957415292727
560.8526453032905510.2947093934188970.147354696709449
570.8659399750160950.268120049967810.134060024983905
580.8392224819964020.3215550360071950.160777518003598
590.8091158058468250.381768388306350.190884194153175
600.9540634077501140.09187318449977260.0459365922498863
610.9411604506474250.1176790987051510.0588395493525753
620.9522667251583540.09546654968329190.0477332748416459
630.9395227284389140.1209545431221710.0604772715610855
640.9239184756251060.1521630487497890.0760815243748945
650.9059103139112630.1881793721774750.0940896860887374
660.8850514583894230.2298970832211550.114948541610577
670.9778957171902650.04420856561947080.0221042828097354
680.9708711789962350.05825764200753010.0291288210037651
690.9623726463757510.07525470724849760.0376273536242488
700.9674116272560340.06517674548793290.0325883727439664
710.9580902838670760.08381943226584850.0419097161329242
720.9467697877968280.1064604244063440.053230212203172
730.9521319775423280.09573604491534440.0478680224576722
740.9626943199072760.07461136018544820.0373056800927241
750.9530211530283060.0939576939433870.0469788469716935
760.9402974446230920.1194051107538150.0597025553769077
770.9267622551867450.146475489626510.0732377448132549
780.9440054916206630.1119890167586750.0559945083793373
790.99332077472440.01335845055120050.00667922527560025
800.990923940869220.01815211826155930.00907605913077967
810.9881124902901770.02377501941964640.0118875097098232
820.9920079405393740.01598411892125170.00799205946062587
830.9911261193691580.01774776126168350.00887388063084173
840.9991886206321130.001622758735774240.000811379367887121
850.9987716321600740.002456735679850960.00122836783992548
860.9981626613668150.003674677266371030.00183733863318552
870.9972868138990680.00542637220186480.0027131861009324
880.9962677570035710.007464485992857950.00373224299642897
890.9946379878468810.01072402430623840.00536201215311918
900.9923928474711130.0152143050577750.00760715252888749
910.98942065521120.02115868957760050.0105793447888003
920.986997313339550.02600537332090060.0130026866604503
930.9823379691411250.03532406171775090.0176620308588754
940.9761151493923740.04776970121525240.0238848506076262
950.9707820516258110.05843589674837850.0292179483741892
960.9613985251122720.07720294977545560.0386014748877278
970.9537111926897350.09257761462052990.046288807310265
980.9399887000338940.1200225999322130.0600112999661063
990.9230941543407570.1538116913184850.0769058456592425
1000.902997046477510.1940059070449790.0970029535224897
1010.8788051267050390.2423897465899230.121194873294961
1020.8508003781205560.2983992437588880.149199621879444
1030.8186706757647970.3626586484704070.181329324235203
1040.7824083679909940.4351832640180120.217591632009006
1050.7563373909507190.4873252180985620.243662609049281
1060.7135703264620230.5728593470759540.286429673537977
1070.6674075750718030.6651848498563930.332592424928197
1080.6327833862107790.7344332275784420.367216613789221
1090.581887576479450.8362248470411010.41811242352055
1100.5284854244509440.9430291510981130.471514575549056
1110.4915969658574060.9831939317148120.508403034142594
1120.4553926647805210.9107853295610420.544607335219479
1130.5067036786752250.9865926426495510.493296321324775
1140.4700900100970520.9401800201941030.529909989902948
1150.4141441356311910.8282882712623830.585855864368809
1160.3620112288307580.7240224576615150.637988771169242
1170.3100387176098130.6200774352196250.689961282390187
1180.260774325593460.521548651186920.73922567440654
1190.2179159940771090.4358319881542180.782084005922891
1200.1772384636431790.3544769272863570.822761536356821
1210.1412454271393120.2824908542786230.858754572860688
1220.1121321295407160.2242642590814320.887867870459284
1230.09643450126135280.1928690025227060.903565498738647
1240.1198924802190460.2397849604380930.880107519780954
1250.09170742515493370.1834148503098670.908292574845066
1260.07599413527740860.1519882705548170.924005864722591
1270.0563979373958640.1127958747917280.943602062604136
1280.04036113667891720.08072227335783440.959638863321083
1290.02880626831331750.05761253662663490.971193731686683
1300.01958110459008990.03916220918017990.98041889540991
1310.01270907942694010.02541815885388020.98729092057306
1320.008143961788336490.0162879235766730.991856038211663
1330.01534617323993460.03069234647986930.984653826760065
1340.01028664961163520.02057329922327040.989713350388365
1350.006885498395989810.01377099679197960.99311450160401
1360.004719632591900850.009439265183801710.995280367408099
1370.008335561868215480.0166711237364310.991664438131785
1380.006992505859120380.01398501171824080.99300749414088
1390.005743928569597470.01148785713919490.994256071430403
1400.002899057694556920.005798115389113850.997100942305443
1410.03195900282983270.06391800565966540.968040997170167
1420.02577725329644040.05155450659288080.97422274670356
1430.01411824814229290.02823649628458580.985881751857707
1440.006692858745706910.01338571749141380.993307141254293


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level140.103703703703704NOK
5% type I error level370.274074074074074NOK
10% type I error level530.392592592592593NOK