Multiple Linear Regression - Estimated Regression Equation
CorrectA[t] = -0.188969467866848 + 0.0447784920776407Weeks[t] + 0.0244227517036987T[t] + 0.256624750933476Used[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.1889694678668480.247302-0.76410.4459930.222996
Weeks0.04477849207764070.050090.8940.3727790.18639
T0.02442275170369870.046030.53060.5964940.298247
Used0.2566247509334760.0445255.763600


Multiple Linear Regression - Regression Statistics
Multiple R0.460225972870465
R-squared0.211807946104566
Adjusted R-squared0.196044105026657
F-TEST (value)13.4363157467625
F-TEST (DF numerator)3
F-TEST (DF denominator)150
p-value8.1807325469363e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.241126438410097
Sum Squared Residuals8.72129389505078


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.0389900038511125-0.0389900038511125
200.0145672521474138-0.0145672521474138
300.0145672521474139-0.0145672521474139
400.0145672521474141-0.0145672521474141
500.0145672521474139-0.0145672521474139
600.0145672521474139-0.0145672521474139
700.0145672521474139-0.0145672521474139
800.0389900038511126-0.0389900038511126
900.0145672521474139-0.0145672521474139
1000.0145672521474139-0.0145672521474139
1100.0389900038511126-0.0389900038511126
1200.0145672521474139-0.0145672521474139
1300.27119200308089-0.27119200308089
1400.0389900038511126-0.0389900038511126
1500.27119200308089-0.27119200308089
1600.295614754784589-0.295614754784589
1710.2956147547845890.704385245215411
1800.0389900038511126-0.0389900038511126
1900.0145672521474139-0.0145672521474139
2010.2956147547845890.704385245215411
2100.0145672521474139-0.0145672521474139
2200.27119200308089-0.27119200308089
2300.0145672521474139-0.0145672521474139
2400.0145672521474139-0.0145672521474139
2500.295614754784589-0.295614754784589
2600.27119200308089-0.27119200308089
2700.0145672521474139-0.0145672521474139
2800.27119200308089-0.27119200308089
2900.0145672521474139-0.0145672521474139
3000.0145672521474139-0.0145672521474139
3100.0145672521474139-0.0145672521474139
3200.0145672521474139-0.0145672521474139
3300.0145672521474139-0.0145672521474139
3400.0389900038511126-0.0389900038511126
3500.0145672521474139-0.0145672521474139
3600.0145672521474139-0.0145672521474139
3700.295614754784589-0.295614754784589
3800.27119200308089-0.27119200308089
3900.0145672521474139-0.0145672521474139
4000.0389900038511126-0.0389900038511126
4110.271192003080890.72880799691911
4200.27119200308089-0.27119200308089
4300.0145672521474139-0.0145672521474139
4400.0389900038511126-0.0389900038511126
4500.0145672521474139-0.0145672521474139
4600.0145672521474139-0.0145672521474139
4700.0145672521474139-0.0145672521474139
4800.0145672521474139-0.0145672521474139
4900.0145672521474139-0.0145672521474139
5000.0145672521474139-0.0145672521474139
5100.295614754784589-0.295614754784589
5210.2956147547845890.704385245215411
5300.0145672521474139-0.0145672521474139
5410.271192003080890.72880799691911
5500.0145672521474139-0.0145672521474139
5600.295614754784589-0.295614754784589
5700.27119200308089-0.27119200308089
5800.0145672521474139-0.0145672521474139
5900.0145672521474139-0.0145672521474139
6010.2956147547845890.704385245215411
6100.0389900038511126-0.0389900038511126
6200.27119200308089-0.27119200308089
6300.0145672521474139-0.0145672521474139
6400.0389900038511126-0.0389900038511126
6500.0145672521474139-0.0145672521474139
6600.0145672521474139-0.0145672521474139
6710.2956147547845890.704385245215411
6800.0145672521474139-0.0145672521474139
6900.0145672521474139-0.0145672521474139
7000.27119200308089-0.27119200308089
7100.0145672521474139-0.0145672521474139
7200.0145672521474139-0.0145672521474139
7300.27119200308089-0.27119200308089
7400.27119200308089-0.27119200308089
7500.0145672521474139-0.0145672521474139
7600.0389900038511126-0.0389900038511126
7700.0145672521474139-0.0145672521474139
7800.27119200308089-0.27119200308089
7910.2956147547845890.704385245215411
8000.0389900038511126-0.0389900038511126
8100.0145672521474139-0.0145672521474139
8200.27119200308089-0.27119200308089
8300.0145672521474139-0.0145672521474139
8410.271192003080890.72880799691911
8500.0145672521474139-0.0145672521474139
8600.0145672521474139-0.0145672521474139
870-0.02614422860047020.0261442286004702
8800.254903274036705-0.254903274036705
890-0.02614422860047020.0261442286004702
900-0.02614422860047020.0261442286004702
910-0.02614422860047020.0261442286004702
920-0.001721476896771470.00172147689677147
930-0.02614422860047020.0261442286004702
940-0.02614422860047020.0261442286004702
950-0.001721476896771470.00172147689677147
960-0.02614422860047020.0261442286004702
970-0.001721476896771470.00172147689677147
980-0.02614422860047020.0261442286004702
990-0.02614422860047020.0261442286004702
1000-0.02614422860047020.0261442286004702
1010-0.02614422860047020.0261442286004702
1020-0.02614422860047020.0261442286004702
1030-0.02614422860047020.0261442286004702
1040-0.02614422860047020.0261442286004702
10500.254903274036705-0.254903274036705
1060-0.02614422860047020.0261442286004702
1070-0.02614422860047020.0261442286004702
10800.254903274036705-0.254903274036705
1090-0.02614422860047020.0261442286004702
1100-0.02614422860047020.0261442286004702
11100.254903274036705-0.254903274036705
1120-0.001721476896771470.00172147689677147
11300.230480522333006-0.230480522333006
11400.254903274036705-0.254903274036705
1150-0.02614422860047020.0261442286004702
1160-0.02614422860047020.0261442286004702
1170-0.02614422860047020.0261442286004702
1180-0.02614422860047020.0261442286004702
1190-0.02614422860047020.0261442286004702
1200-0.02614422860047020.0261442286004702
1210-0.02614422860047020.0261442286004702
1220-0.02614422860047020.0261442286004702
12300.254903274036705-0.254903274036705
12400.230480522333006-0.230480522333006
1250-0.02614422860047020.0261442286004702
1260-0.001721476896771470.00172147689677147
1270-0.02614422860047020.0261442286004702
1280-0.02614422860047020.0261442286004702
1290-0.02614422860047020.0261442286004702
1300-0.02614422860047020.0261442286004702
1310-0.02614422860047020.0261442286004702
1320-0.02614422860047020.0261442286004702
13300.230480522333006-0.230480522333006
1340-0.02614422860047020.0261442286004702
1350-0.02614422860047020.0261442286004702
1360-0.02614422860047020.0261442286004702
13700.230480522333006-0.230480522333006
13800.254903274036705-0.254903274036705
1390-0.001721476896771470.00172147689677147
1400-0.02614422860047020.0261442286004702
14110.2304805223330060.769519477666994
14200.254903274036705-0.254903274036705
1430-0.02614422860047020.0261442286004702
1440-0.02614422860047020.0261442286004702
1450-0.02614422860047020.0261442286004702
1460-0.001721476896771470.00172147689677147
14700.254903274036705-0.254903274036705
1480-0.001721476896771470.00172147689677147
1490-0.02614422860047020.0261442286004702
1500-0.02614422860047020.0261442286004702
1510-0.02614422860047020.0261442286004702
15210.2304805223330060.769519477666994
15310.2304805223330060.769519477666994
15400.230480522333006-0.230480522333006


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
7001
8001
9001
10001
11001
12001
13001
14001
15001
16001
170.4213789927004550.8427579854009090.578621007299545
180.3500712530022160.7001425060044320.649928746997784
190.2791510256804520.5583020513609050.720848974319548
200.6866878876441370.6266242247117250.313312112355863
210.6215534208945940.7568931582108120.378446579105406
220.6307880020241620.7384239959516760.369211997975838
230.5659853518152680.8680292963694650.434014648184732
240.4999716590935990.9999433181871990.500028340906401
250.5921029453588770.8157941092822460.407897054641123
260.5694095241017360.8611809517965290.430590475898264
270.5066026361225090.9867947277549810.493397363877491
280.4790264107179350.9580528214358690.520973589282065
290.4182814927932420.8365629855864840.581718507206758
300.3598917914794350.7197835829588710.640108208520565
310.3050359305010430.6100718610020860.694964069498957
320.2546348399154930.5092696798309860.745365160084507
330.2093200446585760.4186400893171530.790679955341424
340.1792765380860960.3585530761721930.820723461913904
350.1436909190030120.2873818380060240.856309080996988
360.1134104912899160.2268209825798330.886589508710084
370.1320982816591160.2641965633182310.867901718340884
380.1199801993289340.2399603986578680.880019800671066
390.09419491161087110.1883898232217420.905805088389129
400.07630026980619920.1526005396123980.923699730193801
410.5134941636877280.9730116726245430.486505836312272
420.5097028061304420.9805943877391160.490297193869558
430.4571422147357240.9142844294714470.542857785264276
440.4086098205086540.8172196410173080.591390179491346
450.3588823282154110.7177646564308220.641117671784589
460.3116941724668660.6233883449337310.688305827533134
470.2676443599110440.5352887198220880.732355640088956
480.2271829828297810.4543659656595620.772817017170219
490.1906041329105460.3812082658210930.809395867089454
500.1580492342382510.3160984684765030.841950765761749
510.1732135856778110.3464271713556230.826786414322189
520.5042860762465710.9914278475068580.495713923753429
530.4555265670503580.9110531341007170.544473432949642
540.8107119355966330.3785761288067330.189288064403367
550.7761751096905570.4476497806188850.223824890309443
560.799330860876270.4013382782474590.200669139123729
570.8064698297670370.3870603404659270.193530170232963
580.7722259758382510.4555480483234980.227774024161749
590.7349735478926460.5300529042147090.265026452107354
600.9259079141335370.1481841717329250.0740920858664627
610.9087739025879470.1824521948241060.0912260974120532
620.9133136692376960.1733726615246090.0866863307623043
630.8935118310757430.2129763378485130.106488168924257
640.8715519162000040.2568961675999910.128448083799995
650.84577170058680.30845659882640.1542282994132
660.8169116738141750.3661766523716510.183088326185825
670.9626695251506930.07466094969861330.0373304748493067
680.9521957536587110.09560849268257710.0478042463412886
690.9395193799249390.1209612401501230.0604806200750614
700.9432184546473280.1135630907053450.0567815453526723
710.9290177879903470.1419644240193060.0709822120096531
720.9123246764751580.1753506470496840.0876753235248419
730.9198139605861820.1603720788276360.080186039413818
740.9301584842917180.1396830314165640.069841515708282
750.9152986766398070.1694026467203870.0847013233601934
760.897776446733290.204447106533420.10222355326671
770.878994150523180.242011698953640.12100584947682
780.9055005530586930.1889988938826140.0944994469413072
790.9873613881219990.02527722375600250.0126386118780012
800.983800018560820.03239996287836050.0161999814391802
810.9789788385506490.04204232289870210.021021161449351
820.986222221707670.02755555658465980.0137777782923299
830.9843546006788990.03129079864220250.0156453993211013
840.9989824151766860.002035169646628920.00101758482331446
850.9984851004887450.003029799022511020.00151489951125551
860.9977730725098050.004453854980390490.00222692749019525
870.9967700392924490.006459921415101560.00322996070755078
880.9964226138452980.007154772309403630.00357738615470182
890.9951794397907970.009641120418404940.00482056020920247
900.9933696626340830.01326067473183390.00663033736591694
910.9908786639435950.01824267211280980.00912133605640488
920.9882626585666140.02347468286677180.0117373414333859
930.9841344180037680.03173116399246440.0158655819962322
940.9787408211802320.04251835763953640.0212591788197682
950.9737162040580350.0525675918839290.0262837959419645
960.9654656324911670.06906873501766550.0345343675088328
970.9585883561565010.08282328768699880.0414116438434994
980.9466122285749410.1067755428501170.0533877714250586
990.9319254772272790.1361490455454430.0680745227727213
1000.914175045862040.171649908275920.0858249541379601
1010.8930349965561520.2139300068876970.106965003443848
1020.8682295312262720.2635409375474560.131770468773728
1030.8395575320880030.3208849358239950.160442467911997
1040.8069168627300990.3861662745398020.193083137269901
1050.7964094984632790.4071810030734410.203590501536721
1060.7587112536426650.4825774927146710.241288746357335
1070.7172614131104230.5654771737791550.282738586889577
1080.7001460706379510.5997078587240980.299853929362049
1090.6540811287029550.691837742594090.345918871297045
1100.6052962936619580.7894074126760840.394703706338042
1110.5832119395777280.8335761208445440.416788060422272
1120.5444567417688150.911086516462370.455543258231185
1130.5682387465644510.8635225068710980.431761253435549
1140.5442066848130930.9115866303738140.455793315186907
1150.4911353236175430.9822706472350860.508864676382457
1160.4377775321085130.8755550642170260.562222467891487
1170.385098772217610.770197544435220.61490122778239
1180.3340491074082290.6680982148164580.665950892591771
1190.2855110487304610.5710220974609220.714488951269539
1200.2402516710016040.4805033420032090.759748328998396
1210.1988834286801820.3977668573603640.801116571319818
1220.1618372164256090.3236744328512190.838162783574391
1230.1466551369286460.2933102738572930.853344863071354
1240.1761177090438770.3522354180877530.823882290956123
1250.1408379991381120.2816759982762230.859162000861888
1260.1199704980382140.2399409960764280.880029501961786
1270.09253037325822440.1850607465164490.907469626741776
1280.0698144494628240.1396288989256480.930185550537176
1290.05147653508679550.1029530701735910.948523464913204
1300.03705310410179090.07410620820358180.962946895898209
1310.02601011860883760.05202023721767510.973989881391162
1320.01778807323046520.03557614646093030.982211926769535
1330.02992386511460820.05984773022921630.970076134885392
1340.02042773852893450.04085547705786890.979572261471066
1350.01356928031003280.02713856062006560.986430719689967
1360.008771390552074520.0175427811041490.991228609447925
1370.02464637019552690.04929274039105370.975353629804473
1380.02432695691476870.04865391382953740.975673043085231
1390.02060600527253630.04121201054507260.979393994727464
1400.01286292666568670.02572585333137330.987137073334313
1410.04242360425482740.08484720850965480.957576395745173
1420.04090157913927550.08180315827855110.959098420860724
1430.02425320013386280.04850640026772560.975746799866137
1440.01344039846857390.02688079693714780.986559601531426
1450.006929570880620290.01385914176124060.99307042911938
1460.004016171493419640.008032342986839270.99598382850658
1470.006197104524715560.01239420904943110.993802895475284


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level170.120567375886525NOK
5% type I error level390.276595744680851NOK
10% type I error level490.347517730496454NOK