Multiple Linear Regression - Estimated Regression Equation
Q1_7[t] = + 3.06528780326958 + 0.164175161185608Q1_2[t] -0.0765245287154905Q1_3[t] + 0.243401719833989Q1_5[t] + 0.419839287888058Q1_8[t] -0.303558928060235Q1_12[t] + 0.085748375843493Q1_16[t] -0.161019595095292Q1_22[t] + 0.306324782495529GENDER[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3.065287803269580.8160553.75620.0002450.000122
Q1_20.1641751611856080.0858251.91290.0576290.028814
Q1_3-0.07652452871549050.088532-0.86440.3887350.194367
Q1_50.2434017198339890.1271811.91380.057510.028755
Q1_80.4198392878880580.1198763.50230.0006050.000302
Q1_12-0.3035589280602350.103292-2.93880.0038050.001903
Q1_160.0857483758434930.1040480.82410.4111530.205577
Q1_22-0.1610195950952920.106772-1.50810.1336010.0668
GENDER0.3063247824955290.1761771.73870.0840930.042046


Multiple Linear Regression - Regression Statistics
Multiple R0.450959020796799
R-squared0.203364038438007
Adjusted R-squared0.161709870513197
F-TEST (value)4.8822014355226
F-TEST (DF numerator)8
F-TEST (DF denominator)153
p-value2.21235956312515e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.06402597940044
Sum Squared Residuals173.219146580378


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
176.33698628528350.663013714716503
255.39602435435525-0.396024354355251
356.13769214741941-1.13769214741941
455.81336098894718-0.813360988947182
555.59468683892177-0.59468683892177
675.247384172478281.75261582752172
776.804330662874320.195669337125685
855.58147508452284-0.581475084522841
935.86925219603765-2.86925219603765
1065.819019208333620.180980791666376
1176.28728920402380.7127107959762
1266.3057368982798-0.305736898279805
1355.56594010521421-0.565940105214208
1435.82824305546163-2.82824305546163
1576.249335652813380.750664347186624
1655.68320106920056-0.683201069200558
1775.652614099157051.34738590084295
1876.557562691935530.44243730806447
1975.90086204719311.0991379528069
2066.10027450265332-0.100274502653322
2155.67884361987783-0.678843619877834
2277.56175867688814-0.561758676888145
2342.973548242861861.02645175713814
2475.281754489509331.71824551049067
2576.14231170798790.8576882920121
2676.14231170798790.8576882920121
2779.49382445205272-2.49382445205272
2832.037693358359040.962306641640964
2977.98319436951923-0.983194369519232
3054.211092366672650.788907633327353
3177.39727766381894-0.397277663818941
3254.565883735592080.434116264407923
3355.56895713630856-0.568957136308561
3444.45493221874906-0.454932218749061
3555.2262063776982-0.2262063776982
3664.913663739940781.08633626005922
3778.4655031839114-1.46550318391141
3854.643311067779020.356688932220977
3975.578319518432531.42168048156747
4076.83713921122530.162860788774708
4166.48687977662416-0.486879776624159
4264.594686838921771.40531316107823
4376.15430140955120.845698590448803
4477.18500182611667-0.185001826116668
4565.302875670782290.697124329217706
4667.8094056495506-1.8094056495506
4743.33847153925830.661528460741705
4877.75886200010738-0.758862000107379
4954.824959174643740.175040825356262
5066.50578289698796-0.505782896987962
5157.39412209772863-2.39412209772863
5232.321240620960380.67875937903962
5375.960650087158561.03934991284144
5466.55440712584521-0.554407125845215
5566.09562099238533-0.0956209923853308
5655.81586364224331-0.815863642243308
5754.248082343349680.751917656650315
5875.963104906063651.03689509393635
5976.778712204260270.221287795739735
6077.39506311974298-0.39506311974298
6166.13052138306137-0.130521383061368
6264.89238817095881.1076118290412
6376.600432238450720.399567761549281
6476.545789904759350.454210095240646
6554.048819462113660.951180537886337
6676.907533438612410.0924665613875884
6767.3057368982798-1.3057368982798
6855.07468333503607-0.0746833350360746
6966.28175448950933-0.281754489509331
7055.83713921122529-0.837139211225291
7155.46991205946541-0.469912059465413
7265.74335827742680.256641722573196
7365.038830035263880.961169964736119
7464.783503820194161.21649617980584
7576.16246813781540.837531862184606
7666.23899266653088-0.238992666530884
7754.165099821941490.834900178058513
7876.557562691935530.44243730806447
7975.429198550504591.57080144949541
8065.378180242805620.621819757194375
8176.980038803428920.0199611965710835
8265.981292112892610.0187078871073924
8364.664067894276021.33593210572398
8476.152822011158030.847177988841974
8565.451792056573740.548207943426255
8675.860028348909651.13997165109035
8777.02367345923255-0.023673459232553
8857.94195693749092-2.94195693749092
8932.433667243826480.566332756173522
9065.771082556288380.22891744371162
9167.69856002751253-1.69856002751253
9254.640964487229220.359035512770785
9366.24808234334968-0.248082343349685
9465.571797701237410.428202298762586
9564.837139211225291.16286078877471
9677.37211196176794-0.372111961767939
9765.715950602904730.28404939709527
9865.61975632709760.380243672902398
9965.480085254123880.519914745876117
10076.49192219542610.508077804573901
10167.20668349111864-1.20668349111864
10255.92113490466636-0.921134904666362
10354.740592422991510.259407577008491
10465.778873665566270.22112633443373
10564.944657585598651.05534241440135
10666.55454129615442-0.554541296154416
10755.01182409687694-0.0118240968769383
10868.00863596291228-2.00863596291228
10943.904767584177120.095232415822883
11065.008635962912280.991364037087722
11175.860028348909651.13997165109035
11277.05270959518268-0.052709595182682
11355.0014485427201-0.00144854272010161
11454.087062748254390.912937251745607
11579.66650605734698-2.66650605734698
11631.758534308743041.24146569125696
11776.750024858990520.249975141009482
11853.716014427407131.28398557259287
11978.05828872355003-1.05828872355003
12054.507036206451650.492963793548347
12134.0592653620773-1.0592653620773
12266.66098538770463-0.660985387704627
12354.336986285283490.663013714716506
12444.05277480151025-0.0527748015102448
12576.565306561966270.434693438033726
12669.1890122145288-3.1890122145288
12777.52097959087286-0.520979590872858
12822.21109236667265-0.211092366672646
12954.664689550442150.335310449557851
13066.31894865267873-0.318948652678734
13167.87941456766134-1.87941456766134
13266.29335748506149-0.293357485061486
13320.6607654676736261.33923453232637
13467.54105144789064-1.54105144789064
13576.203628234440780.79637176555922
13641.971737568756392.02826243124361
13777.55440712584521-0.554407125845215
13877.10027450265332-0.100274502653322
13969.02609036280688-3.02609036280688
14065.099021193189630.900978806810369
14120.1058488622683391.89415113773166
14278.12344173420253-1.12344173420253
14377.03700219719906-0.0370021971990613
14454.728213009773190.271786990226809
14555.77784560080772-0.777845600807716
14666.24195204202131-0.241952042021315
14754.70550470294110.294495297058905
14864.995318241391731.00468175860827
14966.61010481188055-0.610104811880548
15065.619328659008550.38067134099145
15153.895871428413451.10412857158655
15265.479135906593410.520864093406585
15377.13456783795716-0.134567837957156
15476.784731261589480.215268738410524
15565.187909731208440.81209026879156
15664.636317635663931.36368236433607
15765.640964487229220.359035512770785
15877.9016120180868-0.901612018086801
15966.76964981843827-0.769649818438267
16055.8923881709588-0.892388170958799
16155.90981000297906-0.909810002979057
16256.46910391473786-1.46910391473786
1634NANA
1644NANA


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.3279178602955750.6558357205911490.672082139704425
130.5488238567965580.9023522864068840.451176143203442
140.9038009192669210.1923981614661570.0961990807330785
150.8454069005847030.3091861988305930.154593099415297
160.8411979586940390.3176040826119230.158802041305961
170.825435208905990.3491295821880190.174564791094009
180.7887325309314460.4225349381371090.211267469068554
190.7684313409690810.4631373180618380.231568659030919
200.7469955914155530.5060088171688940.253004408584447
210.7026972964020320.5946054071959360.297302703597968
220.6388490167655910.7223019664688180.361150983234409
230.5753956019656840.8492087960686320.424604398034316
240.789879703343630.4202405933127410.210120296656371
250.8147986659535890.3704026680928210.185201334046411
260.804663813828360.3906723723432790.195336186171639
270.9560223807197330.08795523856053490.0439776192802674
280.9459247252716930.1081505494566140.0540752747283068
290.9308191248535820.1383617502928360.0691808751464181
300.9147278429405650.170544314118870.0852721570594351
310.8999701028788290.2000597942423430.100029897121171
320.9389976166223660.1220047667552670.0610023833776335
330.9215288283846670.1569423432306670.0784711716153334
340.9163758546831920.1672482906336170.0836241453168083
350.8912523391360980.2174953217278050.108747660863902
360.8910387946967470.2179224106065050.108961205303253
370.8970774468920250.2058451062159490.102922553107975
380.8711697001050410.2576605997899180.128830299894959
390.9082665557507080.1834668884985840.0917334442492921
400.8843423379218460.2313153241563080.115657662078154
410.8664676369241730.2670647261516530.133532363075827
420.8860453976921880.2279092046156240.113954602307812
430.8725786206000110.2548427587999770.127421379399988
440.84441252730720.3111749453856010.1555874726928
450.8210755653313980.3578488693372030.178924434668602
460.856264563499090.2874708730018190.14373543650091
470.8312105328160030.3375789343679950.168789467183997
480.812589111373020.3748217772539590.187410888626979
490.7812495307087950.437500938582410.218750469291205
500.7476388005827060.5047223988345890.252361199417294
510.8611883264476620.2776233471046770.138811673552338
520.8390950317679360.3218099364641280.160904968232064
530.865572249590250.2688555008194990.134427750409749
540.8419191872471110.3161616255057770.158080812752889
550.8110721965874840.3778556068250320.188927803412516
560.7915934383783070.4168131232433860.208406561621693
570.7740224842146710.4519550315706570.225977515785329
580.7647600919580770.4704798160838460.235239908041923
590.7324932389872030.5350135220255950.267506761012797
600.6960792366342810.6078415267314380.303920763365719
610.6561507074473240.6876985851053510.343849292552676
620.6628902871840110.6742194256319770.337109712815989
630.6282419644919470.7435160710161060.371758035508053
640.5890698152664670.8218603694670650.410930184733533
650.5856940109269980.8286119781460040.414305989073002
660.5385459846532980.9229080306934040.461454015346702
670.5610197997300690.8779604005398630.438980200269931
680.5134528113396160.9730943773207670.486547188660384
690.4704071648478440.9408143296956890.529592835152156
700.451270177723850.90254035544770.54872982227615
710.4122738823315570.8245477646631150.587726117668443
720.3702094052191710.7404188104383420.629790594780829
730.3624393093327270.7248786186654540.637560690667273
740.3667455082191270.7334910164382540.633254491780873
750.3485689748396140.6971379496792290.651431025160386
760.3078472969523480.6156945939046970.692152703047652
770.2886676312474140.5773352624948290.711332368752586
780.2560302132351850.512060426470370.743969786764815
790.3075520092478480.6151040184956960.692447990752152
800.283436274718660.5668725494373190.71656372528134
810.2449462532916480.4898925065832960.755053746708352
820.2094823079478440.4189646158956890.790517692052156
830.227347977181180.454695954362360.77265202281882
840.221205319679380.4424106393587610.77879468032062
850.1948881153642920.3897762307285840.805111884635708
860.193770929161450.38754185832290.80622907083855
870.1630638225195410.3261276450390820.836936177480459
880.3882373801049120.7764747602098250.611762619895088
890.3549188574293680.7098377148587350.645081142570632
900.31628663050940.6325732610188010.6837133694906
910.3729857315517510.7459714631035010.62701426844825
920.3314473539260320.6628947078520650.668552646073968
930.2918356332574990.5836712665149980.708164366742501
940.2610342906526460.5220685813052930.738965709347354
950.2664928126624370.5329856253248750.733507187337563
960.2322463443285310.4644926886570620.767753655671469
970.2017097860700450.4034195721400890.798290213929955
980.1758629466932820.3517258933865650.824137053306718
990.1550697391902050.310139478380410.844930260809795
1000.1357504850001290.2715009700002590.86424951499987
1010.1402130338045720.2804260676091430.859786966195428
1020.1342839364256280.2685678728512570.865716063574372
1030.111738650460150.2234773009203010.88826134953985
1040.09160055257050220.1832011051410040.908399447429498
1050.09237028979363780.1847405795872760.907629710206362
1060.07701650774031650.1540330154806330.922983492259684
1070.06103165951242070.1220633190248410.93896834048758
1080.09877946698016990.197558933960340.90122053301983
1090.07880204313517470.1576040862703490.921197956864825
1100.07679166459593810.1535833291918760.923208335404062
1110.0759300593350530.1518601186701060.924069940664947
1120.06107965923859860.1221593184771970.938920340761401
1130.04854378582317910.09708757164635810.951456214176821
1140.045861021921560.091722043843120.95413897807844
1150.1508150290610950.301630058122190.849184970938905
1160.1554549157829180.3109098315658360.844545084217082
1170.1349581697577620.2699163395155250.865041830242238
1180.151974612375010.303949224750020.84802538762499
1190.1464322820409810.2928645640819610.85356771795902
1200.1265434437962960.2530868875925930.873456556203704
1210.1217670890284970.2435341780569940.878232910971503
1220.09903849753510560.1980769950702110.900961502464894
1230.08760762892856260.1752152578571250.912392371071437
1240.06715300239287540.1343060047857510.932846997607125
1250.05440486739425430.1088097347885090.945595132605746
1260.2569878933883330.5139757867766650.743012106611667
1270.2146342471168030.4292684942336050.785365752883197
1280.1739204372376410.3478408744752810.82607956276236
1290.139634607699450.2792692153988990.86036539230055
1300.1116142751641140.2232285503282280.888385724835886
1310.3433895527495150.686779105499030.656610447250485
1320.2906130684685120.5812261369370240.709386931531488
1330.3422044814142390.6844089628284780.657795518585761
1340.3865233525248240.7730467050496480.613476647475176
1350.3442564710159820.6885129420319630.655743528984018
1360.4666029657936520.9332059315873030.533397034206348
1370.4224813737494910.8449627474989810.577518626250509
1380.3500089245539490.7000178491078970.649991075446051
1390.7239471073903420.5521057852193170.276052892609658
1400.6548077074947530.6903845850104950.345192292505247
1410.6324472419423760.7351055161152480.367552758057624
1420.6288576595857330.7422846808285340.371142340414267
1430.557648962367930.8847020752641390.442351037632069
1440.4881641543590830.9763283087181650.511835845640917
1450.5716679304502840.8566641390994320.428332069549716
1460.5680687062540140.8638625874919720.431931293745986
1470.4841300171259870.9682600342519750.515869982874013
1480.3651655244387640.7303310488775270.634834475561236
1490.2586791941694340.5173583883388680.741320805830566
1500.1540132559047540.3080265118095090.845986744095246
1510.7527716702676740.4944566594646510.247228329732326
1520.5661134440986010.8677731118027980.433886555901399


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level30.0212765957446809OK