Multiple Linear Regression - Estimated Regression Equation
Roomnights[t] = + 213488.807526882 + 58895.1780801972M1[t] + 29577.7816308244M2[t] + 85999.2601814516M3[t] + 57872.1137320789M4[t] + 39923.4047827061M5[t] -6278.30416666667M6[t] + 14263.8822468638M7[t] + 28994.9191308244M8[t] + 46699.9560147849M9[t] + 85106.1262320789M10[t] + 75150.9631160394M11[t] + 1085.89644937276t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)213488.8075268824498.23821447.460500
M158895.17808019725583.29138510.548500
M229577.78163082445582.9283875.297900
M385999.26018145165582.64603915.404700
M457872.11373207895582.44435310.366800
M539923.40478270615582.3233387.151800
M6-6278.304166666675582.282999-1.12470.2622810.131141
M714263.88224686385672.5977072.51450.0128320.006416
M828994.91913082445672.2404245.11171e-060
M946699.95601478495671.9625228.233500
M1085106.12623207895671.76401215.005200
M1175150.96311603945671.64490313.250300
t1085.8964493727621.22188351.168700


Multiple Linear Regression - Regression Statistics
Multiple R0.974674087442084
R-squared0.949989576731058
Adjusted R-squared0.946520645637259
F-TEST (value)273.856571676829
F-TEST (DF numerator)12
F-TEST (DF denominator)173
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation15532.3305237105
Sum Squared Residuals41736819429.1175


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1276986273469.8820564513516.11794354889
2260633245238.38205645215394.6179435484
3291551302745.757056452-11194.7570564517
4275383275704.507056452-321.507056451639
5275302258841.69455645216460.3054435483
6231693213725.88205645217967.1179435483
7238829235353.9649193553475.03508064517
8274215251170.89825268823044.1017473118
9277808269961.8315860217846.16841397853
10299060309453.898252688-10393.8982526882
11286629300584.631586021-13955.6315860215
12232313226519.5649193555793.43508064515
13294053286500.6394489257552.36055107529
14267510258269.1394489259240.86055107523
15309739315776.514448925-6037.51444892474
16280733288735.264448925-8002.26444892475
17287298271872.45194892515425.5480510752
18235672226756.6394489258915.36055107528
19256449248384.7223118288064.27768817204
20288997264201.65564516124795.3443548387
21290789282992.5889784957796.41102150536
22321898322484.655645161-586.655645161302
23291834313615.388978495-21781.3889784946
24241380239550.3223118281829.67768817205
25295469299531.396841398-4062.39684139792
26258200271299.896841398-13099.8968413979
27306102328807.271841398-22705.2718413979
28281480301766.021841398-20286.0218413979
29283101284903.209341398-1802.20934139788
30237414239787.396841398-2373.39684139785
31274834261415.47970430113418.5202956989
32299340277232.41303763422107.5869623656
33300383296023.3463709684359.65362903226
34340862335515.4130376345346.58696236558
35318794326646.146370968-7852.14637096774
36265740252581.07970430113158.9202956989
37322656312562.15423387110093.845766129
38281563284330.654233871-2767.65423387098
39323461341838.029233871-18377.0292338709
40312579314796.779233871-2217.77923387097
41310784297933.96673387112850.033266129
42262785252818.1542338719966.84576612904
43273754274446.237096774-692.237096774193
44320036290263.17043010829772.8295698925
45310336309054.1037634411281.89623655914
46342206348546.170430108-6340.17043010753
47320052339676.903763441-19624.9037634409
48265582265611.837096774-29.8370967741886
49326988325592.9116263441395.08837365588
50300713297361.4116263443351.58837365593
51346414354868.786626344-8454.7866263441
52317325327827.536626344-10502.5366263441
53326208310964.72412634415243.2758736559
54270657265848.9116263444808.08837365592
55278158287476.994489247-9318.99448924732
56324584303293.92782258121290.0721774193
57321801322084.861155914-283.861155913982
58343542361576.927822581-18034.9278225806
59354040352707.6611559141332.33884408602
60278179278642.594489247-463.594489247316
61330246338623.669018817-8377.66901881723
62307344310392.169018817-3048.1690188172
63375874367899.5440188177974.45598118279
64335309340858.294018817-5549.29401881721
65339271323995.48151881715275.5184811828
66280264278879.6690188171384.33098118279
67293689300507.75188172-6818.75188172043
68341161316324.68521505424836.3147849462
69345097335115.6185483879981.3814516129
70368712374607.685215054-5895.68521505378
71369403365738.4185483873664.58145161289
72288384291673.35188172-3289.35188172042
73340981351654.42641129-10673.4264112904
74319072323422.92641129-4350.92641129032
75374214380930.30141129-6716.30141129032
76344529353889.05141129-9360.05141129032
77337271337026.23891129244.761088709701
78281016291910.42641129-10894.4264112903
79282224313538.509274194-31314.5092741936
80320984329355.442607527-8371.44260752688
81325426348146.37594086-22720.3759408602
82366276387638.442607527-21362.4426075269
83380296378769.175940861526.82405913978
84300727304704.109274194-3977.10927419354
85359326364685.183803763-5359.18380376347
86327610336453.683803763-8843.68380376344
87383563393961.058803763-10398.0588037634
88352405366919.808803763-14514.8088037634
89329351350056.996303763-20705.9963037634
90294486304941.183803763-10455.1838037634
91333454326569.2666666676884.73333333335
92334339342386.2-8047.2
93358000361177.133333333-3177.13333333332
94396057400669.2-4612.2
95386976391799.933333333-4823.93333333333
96307155317734.866666667-10579.8666666666
97363909377715.941196237-13806.9411962366
98344700349484.441196237-4784.44119623655
99397561406991.816196237-9430.81619623655
100376791379950.566196237-3159.56619623656
101337085363087.753696237-26002.7536962365
102299252317971.941196237-18719.9411962366
103323136339600.02405914-16464.0240591398
104329091355416.957392473-26325.9573924731
105346991374207.890725806-27216.8907258064
106461999413699.95739247348299.0426075269
107436533404830.69072580631702.3092741935
108360372330765.6240591429606.3759408602
109415467390746.6985887124720.3014112903
110382110362515.1985887119594.8014112903
111432197420022.5735887112174.4264112903
112424254392981.3235887131272.6764112903
113386728376118.5110887110609.4889112903
114354508331002.6985887123505.3014112903
115375765352630.78145161323134.2185483871
116367986368447.714784946-461.714784946237
117402378387238.6481182815139.3518817204
118426516426730.714784946-214.714784946242
119433313417861.4481182815451.5518817204
120338461343796.381451613-5335.38145161289
121416834403777.45598118313056.5440188172
122381099375545.9559811835553.04401881722
123445673433053.33098118312619.6690188172
124412408406012.0809811836395.91901881721
125393997389149.2684811834847.73151881721
126348241344033.4559811834207.54401881721
127380134365661.53884408614472.461155914
128373688381478.472177419-7790.47217741934
129393588400269.405510753-6681.40551075269
130434192439761.472177419-5569.47217741937
131430731430892.205510753-161.205510752711
132344468356827.138844086-12359.138844086
133411891416808.213373656-4917.21337365595
134370497388576.713373656-18079.7133736559
135437305446084.088373656-8779.0883736559
136411270419042.838373656-7772.8383736559
137385495402180.025873656-16685.0258736559
138341273357064.213373656-15791.2133736559
139384217378692.2962365595524.70376344087
140373223394509.229569892-21286.2295698925
141415771413300.1629032262470.83709677419
142448634452792.229569892-4158.22956989249
143454341443922.96290322610418.0370967742
144350297369857.896236559-19560.8962365591
145419104429838.970766129-10734.9707661291
146398027401607.470766129-3580.47076612902
147456059459114.845766129-3055.84576612903
148430052432073.595766129-2021.59576612902
149399757415210.783266129-15453.783266129
150362731370094.970766129-7363.97076612902
151384896391723.053629032-6827.05362903227
152385349407539.986962366-22190.9869623656
153432289426330.9202956995958.07970430107
154468891465822.9869623663068.01303763443
155442702456953.720295699-14251.7202956989
156370178382888.653629032-12710.6536290323
157439400442869.728158602-3469.72815860219
158393900414638.228158602-20738.2281586021
159468700472145.603158602-3445.60315860215
160438800445104.353158602-6304.35315860215
161430100428241.5406586021858.45934139785
162366300383125.728158602-16825.7281586021
163391000404753.811021505-13753.8110215054
164380900420570.744354839-39670.7443548387
165431400439361.677688172-7961.67768817205
166465400478853.744354839-13453.7443548387
167471500469984.4776881721515.52231182797
168387500395919.411021505-8419.41102150538
169446400455900.485551075-9500.4855510753
170421500427668.985551075-6168.98555107528
171504800485176.36055107519623.6394489247
172492071458135.11055107533935.8894489247
173421253441272.298051075-20019.2980510753
174396682396156.485551075525.514448924744
175428000417784.56841397910215.4315860215
176421900433601.501747312-11701.5017473118
177465600452392.43508064513207.5649193548
178525793491884.50174731233908.4982526883
179499855483015.23508064516839.7649193549
180435287408950.16841397826336.8315860215
181479499468931.24294354810567.7570564515
182473027440699.74294354832327.2570564516
183554410498207.11794354856202.8820564516
184489574471165.86794354818408.1320564516
185462157454303.0554435487853.94455645162
186420331409187.24294354811143.7570564516


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.03422986142382730.06845972284765450.965770138576173
170.008356235446677330.01671247089335470.991643764553323
180.004024665490474120.008049330980948240.995975334509526
190.001717284834093290.003434569668186590.998282715165907
200.0005117499095173240.001023499819034650.999488250090483
210.0001236120464922260.0002472240929844520.999876387953508
220.0001279076120062690.0002558152240125370.999872092387994
237.07298214544205e-050.0001414596429088410.999929270178546
242.11959833525623e-054.23919667051246e-050.999978804016647
251.34871186376651e-052.69742372753302e-050.999986512881362
260.0003207704678818480.0006415409357636970.999679229532118
270.0001840843131233120.0003681686262466250.999815915686877
280.000116132741765990.0002322654835319810.999883867258234
297.33719191735331e-050.0001467438383470660.999926628080826
303.51524028989197e-057.03048057978393e-050.999964847597101
319.82698130937004e-050.0001965396261874010.999901730186906
326.27860318619421e-050.0001255720637238840.999937213968138
332.9685150133708e-055.9370300267416e-050.999970314849866
347.44070115625732e-050.0001488140231251460.999925592988437
350.0001115254138958930.0002230508277917850.999888474586104
360.0001317869106617950.000263573821323590.999868213089338
370.0001392774843157910.0002785549686315810.999860722515684
386.82951180904229e-050.0001365902361808460.99993170488191
393.60184602896064e-057.20369205792127e-050.99996398153971
403.14359979422152e-056.28719958844305e-050.999968564002058
411.96364354831519e-053.92728709663039e-050.999980363564517
421.09998910486792e-052.19997820973583e-050.999989000108951
436.07533333674642e-061.21506666734928e-050.999993924666663
447.6960399092654e-061.53920798185308e-050.999992303960091
453.77467922099361e-067.54935844198721e-060.999996225320779
461.75868781596128e-063.51737563192255e-060.999998241312184
479.68506199782539e-071.93701239956508e-060.9999990314938
484.73445992481224e-079.46891984962447e-070.999999526554007
492.13105386185233e-074.26210772370466e-070.999999786894614
501.10074612142821e-072.20149224285642e-070.999999889925388
518.59095812519935e-081.71819162503987e-070.999999914090419
523.8799421532924e-087.7598843065848e-080.999999961200578
533.00247188196764e-086.00494376393528e-080.999999969975281
541.38663819794964e-082.77327639589928e-080.999999986133618
551.61320260816228e-083.22640521632457e-080.999999983867974
561.40405526812101e-082.80811053624202e-080.999999985959447
576.35312114763279e-091.27062422952656e-080.999999993646879
587.24992207946894e-091.44998441589379e-080.999999992750078
593.73762543818481e-087.47525087636961e-080.999999962623746
601.78986442044987e-083.57972884089975e-080.999999982101356
611.1782090587439e-082.35641811748781e-080.999999988217909
625.30220202752361e-091.06044040550472e-080.999999994697798
636.57419806961778e-081.31483961392356e-070.999999934258019
643.66433579746453e-087.32867159492907e-080.999999963356642
653.22368525333489e-086.44737050666979e-080.999999967763147
661.7655610615436e-083.53112212308719e-080.999999982344389
671.06054613032345e-082.12109226064689e-080.999999989394539
682.11993740905902e-084.23987481811803e-080.999999978800626
691.84655887390734e-083.69311774781468e-080.999999981534411
709.0911071488579e-091.81822142977158e-080.999999990908893
712.07202884768975e-084.14405769537951e-080.999999979279712
721.18160748599884e-082.36321497199768e-080.999999988183925
739.27451181811785e-091.85490236362357e-080.999999990725488
744.67167171332266e-099.34334342664533e-090.999999995328328
752.68713716561429e-095.37427433122859e-090.999999997312863
761.34484100802347e-092.68968201604693e-090.999999998655159
771.15322445990584e-092.30644891981168e-090.999999998846776
781.5190135414371e-093.03802708287419e-090.999999998480986
794.68200785533332e-089.36401571066665e-080.999999953179921
804.08844786538448e-078.17689573076896e-070.999999591155213
811.1648038335349e-062.32960766706979e-060.999998835196167
821.2185140960602e-062.43702819212041e-060.999998781485904
831.59931055124336e-063.19862110248673e-060.999998400689449
848.99005606307059e-071.79801121261412e-060.999999100994394
855.00902845368094e-071.00180569073619e-060.999999499097155
862.84403191929454e-075.68806383858908e-070.999999715596808
872.06773809236484e-074.13547618472967e-070.999999793226191
881.53046163880128e-073.06092327760256e-070.999999846953836
894.93862567566415e-079.87725135132831e-070.999999506137432
903.1904459242631e-076.38089184852621e-070.999999680955408
914.25842908879796e-078.51685817759593e-070.999999574157091
927.75224699182553e-071.55044939836511e-060.999999224775301
934.45996450974814e-078.91992901949628e-070.999999554003549
943.71095252116259e-077.42190504232519e-070.999999628904748
953.00504849387886e-076.01009698775773e-070.999999699495151
961.87160002551261e-073.74320005102523e-070.999999812839998
971.31254876260254e-072.62509752520509e-070.999999868745124
987.530991775729e-081.5061983551458e-070.999999924690082
997.09050203389228e-081.41810040677846e-070.99999992909498
1007.21012130042201e-081.4420242600844e-070.999999927898787
1012.87919087535873e-075.75838175071746e-070.999999712080912
1023.34162238997422e-076.68324477994843e-070.999999665837761
1033.35788272375299e-076.71576544750599e-070.999999664211728
1042.24845736448253e-064.49691472896507e-060.999997751542635
1056.68877751880072e-061.33775550376014e-050.999993311222481
1060.004209544265834170.008419088531668330.995790455734166
1070.02262272916038520.04524545832077040.977377270839615
1080.06366967731942030.1273393546388410.93633032268058
1090.11230246551370.22460493102740.8876975344863
1100.1477695415292090.2955390830584190.852230458470791
1110.156275956434140.3125519128682810.84372404356586
1120.2858835483566840.5717670967133690.714116451643315
1130.2923003723373690.5846007446747380.707699627662631
1140.4028241444868040.8056482889736080.597175855513196
1150.4933172843040820.9866345686081630.506682715695918
1160.5357380527546210.9285238944907570.464261947245379
1170.5671662924911570.8656674150176860.432833707508843
1180.5237231639453040.9525536721093930.476276836054696
1190.5568313794657060.8863372410685880.443168620534294
1200.5241125021257990.9517749957484020.475887497874201
1210.5784022589774960.8431954820450090.421597741022505
1220.5842294098538580.8315411802922850.415770590146142
1230.5826946504812610.8346106990374790.417305349518739
1240.5598733520511950.880253295897610.440126647948805
1250.6111662280695470.7776675438609070.388833771930453
1260.6513970573687540.6972058852624920.348602942631246
1270.7339773003755470.5320453992489050.266022699624453
1280.8259770155084360.3480459689831280.174022984491564
1290.7969226518472760.4061546963054470.203077348152724
1300.7640066162299770.4719867675400460.235993383770023
1310.745789730300970.508420539398060.25421026969903
1320.7236930992007960.5526138015984070.276306900799204
1330.7203531474127710.5592937051744580.279646852587229
1340.6918676667900370.6162646664199250.308132333209963
1350.6536149466917470.6927701066165060.346385053308253
1360.6036401233765420.7927197532469170.396359876623458
1370.5814910841267010.8370178317465980.418508915873299
1380.5488371535803070.9023256928393860.451162846419693
1390.5977646337332110.8044707325335780.402235366266789
1400.6497201710338250.700559657932350.350279828966175
1410.6454694036149680.7090611927700630.354530596385032
1420.5988842636412570.8022314727174870.401115736358743
1430.6992045866733880.6015908266532240.300795413326612
1440.6609293443000740.6781413113998520.339070655699926
1450.6322458330368730.7355083339262550.367754166963127
1460.6291275412349470.7417449175301070.370872458765053
1470.5747675811234950.8504648377530110.425232418876505
1480.5201154141870520.9597691716258950.479884585812948
1490.4949908241368810.9899816482737630.505009175863119
1500.5145579818283070.9708840363433860.485442018171693
1510.4961279481002370.9922558962004730.503872051899763
1520.5831094964191010.8337810071617980.416890503580899
1530.672751535307170.6544969293856610.32724846469283
1540.6820586186515210.6358827626969590.317941381348479
1550.6208317557577560.7583364884844880.379168244242244
1560.5578281805324280.8843436389351430.442171819467572
1570.6251596903272640.7496806193454720.374840309672736
1580.5629232142471210.8741535715057580.437076785752879
1590.5283847771702730.9432304456594540.471615222829727
1600.4541263123211360.9082526246422710.545873687678864
1610.7729688740496420.4540622519007170.227031125950358
1620.7449209032001670.5101581935996650.255079096799833
1630.6635454339902580.6729091320194840.336454566009742
1640.608577655360340.782844689279320.39142234463966
1650.5067910873648910.9864178252702180.493208912635109
1660.5682019022449150.863596195510170.431798097755085
1670.4607873856239760.9215747712479510.539212614376024
1680.3918953665558670.7837907331117340.608104633444133
1690.2660039186224020.5320078372448040.733996081377598
1700.2513225519870270.5026451039740540.748677448012973


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level890.574193548387097NOK
5% type I error level910.587096774193548NOK
10% type I error level920.593548387096774NOK