Multiple Linear Regression - Estimated Regression Equation
Temperatuur[t] = + 3.24210526315791 + 0.110847953216363M1[t] + 0.762134502923958M2[t] + 3.49342105263159M3[t] + 6.43470760233919M4[t] + 10.3809941520468M5[t] + 12.7672807017544M6[t] + 14.7885672514620M7[t] + 14.6898538011696M8[t] + 11.2711403508772M9[t] + 7.3924269005848M10[t] + 3.21371345029240M11[t] + 0.00371345029239764t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3.242105263157910.4158357.796600
M10.1108479532163630.5208180.21280.8316470.415824
M20.7621345029239580.520771.46350.1447210.07236
M33.493421052631590.5207276.708700
M46.434707602339190.52068912.358100
M510.38099415204680.52065519.938300
M612.76728070175440.52062624.52300
M714.78856725146200.52060128.406700
M814.68985380116960.5205828.218200
M911.27114035087720.52056421.651800
M107.39242690058480.52055314.201100
M113.213713450292400.5205466.173700
t0.003713450292397640.0015362.41830.0163830.008192


Multiple Linear Regression - Regression Statistics
Multiple R0.958336827443597
R-squared0.91840947483466
Adjusted R-squared0.914096319319311
F-TEST (value)212.932149459136
F-TEST (DF numerator)12
F-TEST (DF denominator)227
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.64610468633684
Sum Squared Residuals615.092964912282


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
15.23.356666666666621.84333333333338
27.94.011666666666613.88833333333339
38.76.746666666666581.95333333333342
48.99.69166666666671-0.79166666666671
515.313.64166666666671.65833333333329
615.416.0316666666666-0.631666666666627
718.118.05666666666680.0433333333332414
819.717.96166666666661.73833333333338
91314.5466666666667-1.54666666666666
1012.610.67166666666661.92833333333338
116.26.4966666666667-0.296666666666691
123.53.286666666666680.213333333333323
133.43.40122807017544-0.00122807017544409
1404.05622807017544-4.05622807017544
159.56.791228070175442.70877192982456
168.99.73622807017544-0.836228070175437
1710.413.6862280701754-3.28622807017544
1813.216.0762280701754-2.87622807017544
1918.918.10122807017540.798771929824564
201918.00622807017540.993771929824557
2116.314.59122807017541.70877192982456
2210.610.7162280701754-0.116228070175443
235.86.54122807017544-0.74122807017544
243.63.331228070175440.268771929824558
252.63.44578947368422-0.845789473684218
2654.100789473684210.899210526315787
277.36.835789473684220.464210526315784
289.29.7807894736842-0.58078947368421
2915.713.73078947368421.96921052631579
3016.816.12078947368420.679210526315786
3118.418.14578947368420.254210526315792
3218.118.05078947368420.049210526315787
3314.614.6357894736842-0.0357894736842123
347.810.7607894736842-2.96078947368421
357.66.585789473684211.01421052631579
363.83.375789473684210.424210526315786
375.63.490350877192992.10964912280701
382.24.14535087719298-1.94535087719298
396.86.88035087719299-0.0803508771929872
4011.89.825350877192981.97464912280702
4114.913.77535087719301.12464912280702
4216.716.1653508771930.534649122807013
4316.718.1903508771930-1.49035087719298
4415.918.095350877193-2.19535087719298
4513.614.680350877193-1.08035087719298
469.210.805350877193-1.60535087719299
472.86.63035087719298-3.83035087719298
482.53.42035087719298-0.920350877192985
494.83.534912280701761.26508771929824
502.84.18991228070176-1.38991228070176
517.86.924912280701760.87508771929824
5299.86991228070175-0.869912280701752
5312.913.8199122807018-0.919912280701753
5416.416.20991228070180.190087719298241
5521.818.23491228070173.56508771929825
5617.818.1399122807018-0.339912280701757
5713.514.7249122807018-1.22491228070176
581010.8499122807018-0.849912280701758
5910.46.674912280701753.72508771929825
605.53.464912280701762.03508771929824
6143.579473684210530.420526315789467
626.84.234473684210532.56552631578947
635.76.96947368421053-1.26947368421053
649.19.91447368421052-0.814473684210524
6513.613.8644736842105-0.264473684210526
661516.2544736842105-1.25447368421053
6720.918.27947368421052.62052631578948
6820.418.18447368421052.21552631578947
691414.7694736842105-0.769473684210527
7013.710.89447368421052.80552631578947
717.16.719473684210530.380526315789474
720.83.50947368421053-2.70947368421053
732.13.62403508771930-1.52403508771930
741.34.2790350877193-2.9790350877193
753.97.0140350877193-3.1140350877193
7610.79.95903508771930.740964912280703
7711.113.9090350877193-2.80903508771930
7816.416.29903508771930.100964912280697
7917.118.3240350877193-1.22403508771929
8017.318.2290350877193-0.9290350877193
8112.914.8140350877193-1.91403508771930
8210.910.9390350877193-0.0390350877193015
835.36.7640350877193-1.4640350877193
840.73.5540350877193-2.8540350877193
85-0.23.66859649122807-3.86859649122807
866.54.323596491228072.17640350877193
878.67.058596491228071.54140350877192
888.510.0035964912281-1.50359649122807
8913.313.9535964912281-0.653596491228068
9016.216.3435964912281-0.143596491228074
9117.518.3685964912281-0.868596491228065
9221.218.27359649122812.92640350877193
9314.814.8585964912281-0.0585964912280698
9410.310.9835964912281-0.683596491228073
957.36.808596491228070.49140350877193
965.13.598596491228071.50140350877193
974.43.713157894736850.686842105263153
986.24.368157894736841.83184210526316
997.77.103157894736850.596842105263154
1009.310.0481578947368-0.748157894736839
10115.613.99815789473681.60184210526316
10216.316.3881578947368-0.0881578947368438
10316.618.4131578947368-1.81315789473683
10417.418.3181578947368-0.918157894736846
10515.314.90315789473680.396842105263158
1069.711.0281578947368-1.32815789473685
1073.76.85315789473684-3.15315789473684
1084.63.643157894736840.956842105263156
1095.43.757719298245621.64228070175438
1103.14.41271929824562-1.31271929824562
1117.97.147719298245620.752280701754383
11210.110.09271929824560.00728070175438869
1131514.04271929824560.957280701754388
11415.616.4327192982456-0.832719298245617
11519.718.45771929824561.24228070175439
11618.118.3627192982456-0.262719298245615
11717.714.94771929824562.75228070175439
11810.711.0727192982456-0.372719298245618
1196.26.89771929824561-0.697719298245613
1204.23.687719298245620.512280701754384
12143.802280701754390.197719298245609
1225.94.457280701754391.44271929824561
1237.17.19228070175439-0.0922807017543897
12410.510.13728070175440.362719298245617
12515.114.08728070175441.01271929824562
12616.816.47728070175440.322719298245613
12715.318.5022807017544-3.20228070175438
12818.418.4072807017544-0.00728070175438963
12916.114.99228070175441.10771929824562
13011.311.11728070175440.182719298245612
1317.96.942280701754380.957719298245616
1325.63.732280701754391.86771929824561
1333.43.84684210526316-0.446842105263163
1344.84.501842105263160.298157894736841
1356.57.23684210526316-0.736842105263161
1368.510.1818421052632-1.68184210526315
13715.114.13184210526320.968157894736844
13815.716.5218421052632-0.821842105263161
13918.718.54684210526320.153157894736848
14019.218.45184210526320.74815789473684
14112.915.0368421052632-2.13684210526316
14214.411.16184210526323.23815789473684
1436.26.98684210526316-0.786842105263156
1443.33.77684210526316-0.476842105263162
1454.63.891403508771930.708596491228065
1467.24.546403508771932.65359649122807
1477.87.281403508771930.518596491228067
1489.910.2264035087719-0.326403508771926
14913.614.1764035087719-0.576403508771928
15017.116.56640350877190.53359649122807
15117.818.5914035087719-0.791403508771923
15218.618.49640350877190.103596491228070
15314.715.0814035087719-0.38140350877193
15410.511.2064035087719-0.706403508771932
1558.67.031403508771931.56859649122807
1564.43.821403508771930.57859649122807
1572.33.93596491228071-1.63596491228071
1582.84.5909649122807-1.79096491228070
1598.87.32596491228071.47403508771930
16010.710.27096491228070.429035087719301
16113.914.2209649122807-0.320964912280699
16219.316.61096491228072.68903508771930
16319.518.63596491228070.864035087719304
16420.418.54096491228071.85903508771930
16515.315.12596491228070.174035087719300
1667.911.2509649122807-3.3509649122807
1678.37.07596491228071.2240350877193
1684.53.86596491228070.634035087719298
1693.23.98052631578948-0.780526315789478
17054.635526315789470.364473684210526
1716.67.37052631578948-0.770526315789477
17211.110.31552631578950.78447368421053
17312.814.2655263157895-1.46552631578947
17416.316.6555263157895-0.355526315789475
17517.418.6805263157895-1.28052631578947
17618.918.58552631578950.314473684210523
17715.815.17052631578950.629473684210528
17811.711.29552631578950.404473684210523
1796.47.12052631578947-0.72052631578947
1802.93.91052631578948-1.01052631578948
1814.74.025087719298250.67491228070175
1822.44.68008771929824-2.28008771929824
1837.27.41508771929825-0.215087719298248
18410.710.36008771929820.339912280701758
18513.414.3100877192982-0.910087719298243
18618.516.70008771929821.79991228070175
18718.318.7250877192982-0.425087719298238
18816.818.6300877192982-1.83008771929825
18916.615.21508771929821.38491228070176
19014.111.34008771929822.75991228070175
1916.17.16508771929824-1.06508771929824
1923.53.95508771929825-0.455087719298246
1931.74.06964912280702-2.36964912280702
1942.34.72464912280702-2.42464912280702
1954.57.45964912280702-2.95964912280702
1969.310.4046491228070-1.10464912280701
19714.214.354649122807-0.154649122807015
19817.316.74464912280700.555350877192982
1992318.7696491228074.23035087719299
20016.318.6746491228070-2.37464912280702
20118.415.2596491228073.14035087719298
20214.211.38464912280702.81535087719298
2039.17.209649122807021.89035087719298
2045.93.999649122807021.90035087719298
2057.24.114210526315793.08578947368421
2066.84.769210526315792.03078947368421
20787.50421052631580.495789473684208
20814.310.44921052631583.85078947368421
20914.614.39921052631580.200789473684214
21017.516.78921052631580.71078947368421
21117.218.8142105263158-1.61421052631578
21217.218.7192105263158-1.51921052631579
21314.115.3042105263158-1.20421052631579
21410.511.4292105263158-0.92921052631579
2156.87.25421052631579-0.454210526315787
2164.14.044210526315790.0557894736842105
2176.54.158771929824562.34122807017544
2186.14.813771929824561.28622807017544
2196.37.54877192982456-1.24877192982456
2209.310.4937719298246-1.19377192982456
22116.414.44377192982461.95622807017544
22216.116.8337719298246-0.733771929824561
2231818.8587719298246-0.858771929824554
22417.618.7637719298246-1.16377192982456
2251415.3487719298246-1.34877192982456
22610.511.4737719298246-0.973771929824562
2276.97.29877192982456-0.398771929824558
2282.84.08877192982456-1.28877192982456
2290.74.20333333333334-3.50333333333334
2303.64.85833333333333-1.25833333333333
2316.77.59333333333334-0.893333333333335
23212.510.53833333333331.96166666666667
23314.414.4883333333333-0.0883333333333292
23416.516.8783333333333-0.378333333333334
23518.718.9033333333333-0.203333333333326
23619.418.80833333333330.591666666666665
23715.815.39333333333330.406666666666669
23811.311.5183333333333-0.218333333333334
2399.77.343333333333332.35666666666667
2402.94.13333333333333-1.23333333333333


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.9668014483741360.06639710325172830.0331985516258642
170.9583616625359310.08327667492813690.0416383374640685
180.927841214637240.1443175707255220.0721587853627609
190.9386352952263160.1227294095473680.061364704773684
200.9112898969036440.1774202061927120.0887101030963558
210.9699238660637540.06015226787249180.0300761339362459
220.951612487103250.09677502579350080.0483875128967504
230.9295229519903870.1409540960192260.0704770480096132
240.9060011525131940.1879976949736120.0939988474868062
250.8674048353483520.2651903293032970.132595164651648
260.8805114934843770.2389770130312460.119488506515623
270.8401954474114210.3196091051771590.159804552588579
280.8167244497105130.3665511005789740.183275550289487
290.892874772781870.214250454436260.10712522721813
300.9143148495527070.1713703008945860.085685150447293
310.8853955773749520.2292088452500970.114604422625048
320.85475093543720.2904981291255990.145249064562799
330.8154604034140150.3690791931719710.184539596585985
340.8650526457911220.2698947084177550.134947354208878
350.8629013709693650.274197258061270.137098629030635
360.8309602168476420.3380795663047160.169039783152358
370.8461576683058070.3076846633883850.153842331694193
380.836376832592270.3272463348154590.163623167407729
390.8085340288148530.3829319423702930.191465971185146
400.8600909543651360.2798180912697280.139909045634864
410.843480404072020.3130391918559610.156519595927981
420.8309819991459860.3380360017080280.169018000854014
430.817365154855110.3652696902897780.182634845144889
440.8421411527123660.3157176945752680.157858847287634
450.8125311687986670.3749376624026660.187468831201333
460.7846359689117010.4307280621765970.215364031088299
470.8530498914060010.2939002171879990.146950108593999
480.8245735003903230.3508529992193550.175426499609677
490.8100239275579260.3799521448841490.189976072442074
500.7799249832579320.4401500334841360.220075016742068
510.7471343031532650.505731393693470.252865696846735
520.7079657894139160.5840684211721690.292034210586084
530.6683265488412980.6633469023174040.331673451158702
540.6483101325298020.7033797349403970.351689867470198
550.8100061810201570.3799876379596860.189993818979843
560.7759964226555020.4480071546889960.224003577344498
570.7454774790895620.5090450418208750.254522520910438
580.7107664239049280.5784671521901450.289233576095072
590.8857147204682030.2285705590635940.114285279531797
600.896026253666710.2079474926665810.103973746333290
610.8756922559204170.2486154881591660.124307744079583
620.9127835170703780.1744329658592440.0872164829296221
630.914950677396310.1700986452073810.0850493226036907
640.8979170743762330.2041658512475350.102082925623767
650.8767886503382230.2464226993235550.123211349661777
660.8588010964615960.2823978070768080.141198903538404
670.8805592021657640.2388815956684730.119440797834236
680.8950475128925120.2099049742149760.104952487107488
690.875514018758310.2489719624833790.124485981241689
700.9203690130637580.1592619738724840.079630986936242
710.9045082540728540.1909834918542930.0954917459271463
720.9296062519776240.1407874960447510.0703937480223756
730.9307291422215790.1385417155568430.0692708577784214
740.9491516933500660.1016966132998690.0508483066499344
750.9695216349805650.06095673003886920.0304783650194346
760.9654012502750690.06919749944986240.0345987497249312
770.9732337282033880.05353254359322410.0267662717966121
780.9678451054915160.06430978901696720.0321548945084836
790.9648927231958840.07021455360823130.0351072768041157
800.9580052365584090.08398952688318270.0419947634415914
810.9560682099025750.087863580194850.043931790097425
820.9465331494057130.1069337011885740.0534668505942871
830.9406093825246320.1187812349507360.0593906174753678
840.95340162065760.09319675868480.0465983793424
850.9789439682806210.04211206343875730.0210560317193787
860.985668802412680.02866239517463930.0143311975873196
870.9860049984561570.02799000308768630.0139950015438432
880.9844283203173270.03114335936534670.0155716796826733
890.9809996268425860.0380007463148290.0190003731574145
900.977055975882980.04588804823404060.0229440241170203
910.972443622696280.05511275460744080.0275563773037204
920.9842072149571210.03158557008575770.0157927850428789
930.981174963310850.03765007337830080.0188250366891504
940.976925286757010.04614942648597890.0230747132429894
950.9724850179307960.05502996413840770.0275149820692039
960.9737577188686080.05248456226278330.0262422811313916
970.9692312331207370.06153753375852580.0307687668792629
980.9719237768049020.05615244639019680.0280762231950984
990.966250622508750.06749875498249830.0337493774912492
1000.9599617934877470.08007641302450520.0400382065122526
1010.9613086706932080.07738265861358320.0386913293067916
1020.9532315217212620.09353695655747560.0467684782787378
1030.9543184541024120.09136309179517630.0456815458975881
1040.9472711943729480.1054576112541040.052728805627052
1050.939278344042340.1214433119153200.0607216559576602
1060.934399083565420.1312018328691600.0656009164345799
1070.9598869998493820.08022600030123530.0401130001506176
1080.955053437063320.08989312587335940.0449465629366797
1090.955664237844330.08867152431133910.0443357621556696
1100.9517959507990680.09640809840186420.0482040492009321
1110.944031059091850.1119378818163000.0559689409081499
1120.9338113492930080.1323773014139840.0661886507069919
1130.9259768058267680.1480463883464650.0740231941732324
1140.9172245887656580.1655508224686850.0827754112343425
1150.9108837610253330.1782324779493350.0891162389746673
1160.8946569606444280.2106860787111430.105343039355572
1170.923685328569430.1526293428611400.0763146714305701
1180.9107884140326110.1784231719347780.0892115859673888
1190.8996573655020130.2006852689959730.100342634497987
1200.8835299306422390.2329401387155220.116470069357761
1210.8637579754402080.2724840491195840.136242024559792
1220.8585165671199190.2829668657601620.141483432880081
1230.8364773575939310.3270452848121370.163522642406069
1240.8139738569372680.3720522861254640.186026143062732
1250.7969767730909070.4060464538181850.203023226909093
1260.7715492483959770.4569015032080460.228450751604023
1270.843674432692670.3126511346146610.156325567307330
1280.8194113149576850.361177370084630.180588685042315
1290.804106676876260.3917866462474800.195893323123740
1300.7780380387847970.4439239224304070.221961961215203
1310.7582848803577660.4834302392844680.241715119642234
1320.7644889806249380.4710220387501240.235511019375062
1330.735505894696960.528988210606080.26449410530304
1340.7036659223182280.5926681553635430.296334077681772
1350.6753153590655480.6493692818689040.324684640934452
1360.6868520364686760.6262959270626490.313147963531324
1370.6629676556913610.6740646886172770.337032344308639
1380.6447633012288370.7104733975423270.355236698771164
1390.6076618397987670.7846763204024660.392338160201233
1400.5794703045007880.8410593909984230.420529695499212
1410.6144082404502710.7711835190994570.385591759549729
1420.7060956905611650.587808618877670.293904309438835
1430.6877940411752570.6244119176494850.312205958824743
1440.6553756060729580.6892487878540840.344624393927042
1450.6253548283714370.7492903432571260.374645171628563
1460.6909824440943020.6180351118113970.309017555905698
1470.6634687219735010.6730625560529980.336531278026499
1480.635463009711470.7290739805770610.364536990288530
1490.6015083125233260.7969833749533490.398491687476674
1500.5662337201485290.8675325597029420.433766279851471
1510.5374513775251360.9250972449497280.462548622474864
1520.5000425479890320.9999149040219350.499957452010967
1530.4671523627462670.9343047254925340.532847637253733
1540.4363386891767870.8726773783535740.563661310823213
1550.4219293470224670.8438586940449350.578070652977533
1560.3868099720462230.7736199440924450.613190027953777
1570.3840978852245570.7681957704491140.615902114775443
1580.383603998326480.767207996652960.61639600167352
1590.3912115913330880.7824231826661760.608788408666912
1600.3565846559020110.7131693118040220.643415344097989
1610.3201471552527160.6402943105054320.679852844747284
1620.3611467009988040.7222934019976080.638853299001196
1630.3310992897148580.6621985794297160.668900710285142
1640.3689085864407430.7378171728814850.631091413559257
1650.3305129435662810.6610258871325630.669487056433719
1660.4786054007002160.9572108014004320.521394599299784
1670.4511435457299810.9022870914599620.548856454270019
1680.4177348078386860.8354696156773730.582265192161314
1690.3853628391476130.7707256782952260.614637160852387
1700.3509877242233880.7019754484467770.649012275776612
1710.3169205323193340.6338410646386690.683079467680666
1720.282815265632540.565630531265080.71718473436746
1730.2764912556450740.5529825112901490.723508744354926
1740.2460066457986320.4920132915972630.753993354201368
1750.2366641097388080.4733282194776160.763335890261192
1760.2173746016612430.4347492033224850.782625398338757
1770.1875944786717010.3751889573434010.8124055213283
1780.1606911143227110.3213822286454210.839308885677289
1790.1451947633401470.2903895266802940.854805236659853
1800.1288034487943660.2576068975887320.871196551205634
1810.1083782755486600.2167565510973210.89162172445134
1820.1242701962801260.2485403925602520.875729803719874
1830.1040019913315210.2080039826630420.895998008668479
1840.08758635304638030.1751727060927610.91241364695362
1850.08160341573362730.1632068314672550.918396584266373
1860.07600185070970850.1520037014194170.923998149290291
1870.0645838267883770.1291676535767540.935416173211623
1880.05921649065442920.1184329813088580.94078350934557
1890.04949904075296910.09899808150593830.95050095924703
1900.05770814570849290.1154162914169860.942291854291507
1910.05906657198699780.1181331439739960.940933428013002
1920.04747926070689760.09495852141379520.952520739293102
1930.07311939808965070.1462387961793010.92688060191035
1940.1216073420905600.2432146841811190.87839265790944
1950.1770002821397160.3540005642794320.822999717860284
1960.2567743192005040.5135486384010080.743225680799496
1970.257027834215980.514055668431960.74297216578402
1980.2198494644349240.4396989288698470.780150535565076
1990.380735036193470.761470072386940.61926496380653
2000.4540672088993690.9081344177987380.545932791100631
2010.5194092250380960.9611815499238070.480590774961904
2020.5727806331031190.8544387337937630.427219366896881
2030.5259576963480470.9480846073039060.474042303651953
2040.5326986367015930.9346027265968140.467301363298407
2050.6463197914576840.7073604170846330.353680208542316
2060.6412280552106030.7175438895787940.358771944789397
2070.6111217280759720.7777565438480570.388878271924028
2080.7673013639006180.4653972721987630.232698636099382
2090.7116670643418940.5766658713162120.288332935658106
2100.687476331524970.625047336950060.31252366847503
2110.6326661348877540.7346677302244920.367333865112246
2120.5792590578943820.8414818842112360.420740942105618
2130.509520129259880.980959741480240.49047987074012
2140.4316263351547150.863252670309430.568373664845285
2150.3865273299232590.7730546598465180.613472670076741
2160.3343769759433540.6687539518867090.665623024056646
2170.847081896119610.3058362077607790.152918103880390
2180.9345127950117470.1309744099765050.0654872049882527
2190.89565360193990.2086927961201990.104346398060099
2200.917374116142910.1652517677141800.0826258838570902
2210.9854930816450550.02901383670989020.0145069183549451
2220.9724193989268280.05516120214634410.0275806010731720
2230.940781710140440.1184365797191210.0592182898595604
2240.8599514683348330.2800970633303330.140048531665167


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level100.0478468899521531OK
10% type I error level390.186602870813397NOK