Multiple Linear Regression - Estimated Regression Equation
Beter[t] = + 0.100424275627105 + 0.478734981134432Fout[t] + 0.1972068503929Ouders[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.1004242756271050.0717091.40040.1624630.081231
Fout0.4787349811344320.04547710.526900
Ouders0.19720685039290.043384.5468e-064e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.821266316229482
R-squared0.674478362173144
Adjusted R-squared0.672201987083445
F-TEST (value)296.294914324747
F-TEST (DF numerator)2
F-TEST (DF denominator)286
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.777556555114345
Sum Squared Residuals172.913940170768


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
112.80419160173643-1.80419160173643
242.12824977020911.8717502297909
342.606984751343531.39301524865647
400.100424275627105-0.100424275627105
500.100424275627105-0.100424275627105
612.80419160173643-1.80419160173643
732.12824977020910.871750229790899
800.100424275627105-0.100424275627105
900.100424275627105-0.100424275627105
1043.001398452129330.998601547870667
1100.100424275627105-0.100424275627105
1220.7763661071544371.22363389284556
1300.100424275627105-0.100424275627105
1421.452307938681770.547692061318231
1500.100424275627105-0.100424275627105
1600.100424275627105-0.100424275627105
1742.804191601736431.19580839826357
1842.804191601736431.19580839826357
1921.452307938681770.547692061318231
2000.100424275627105-0.100424275627105
2142.3254566206021.674543379398
2221.452307938681770.547692061318231
2321.93104291981620.0689570801837995
2400.100424275627105-0.100424275627105
2500.100424275627105-0.100424275627105
2612.40977790095063-1.40977790095063
2711.84672163946757-0.84672163946757
2800.100424275627105-0.100424275627105
2922.40977790095063-0.409777900950632
3011.64951478907467-0.649514789074669
3122.80419160173643-0.804191601736433
3200.100424275627105-0.100424275627105
3321.846721639467570.15327836053243
3411.45230793868177-0.452307938681769
3500.100424275627105-0.100424275627105
3642.409777900950631.59022209904937
3742.3254566206021.674543379398
3800.100424275627105-0.100424275627105
3922.1282497702091-0.128249770209101
4000.100424275627105-0.100424275627105
4100.100424275627105-0.100424275627105
4211.84672163946757-0.84672163946757
4342.804191601736431.19580839826357
4422.80419160173643-0.804191601736433
4500.100424275627105-0.100424275627105
4631.846721639467571.15327836053243
4732.606984751343530.393015248656467
4832.409777900950630.590222099049368
4900.100424275627105-0.100424275627105
5000.100424275627105-0.100424275627105
5122.80419160173643-0.804191601736433
5200.100424275627105-0.100424275627105
5322.325456620602-0.325456620602001
5412.21257105055773-1.21257105055773
5511.9310429198162-0.9310429198162
5632.3254566206020.674543379397999
5700.100424275627105-0.100424275627105
5800.100424275627105-0.100424275627105
5900.100424275627105-0.100424275627105
6000.100424275627105-0.100424275627105
6133.08571973247796-0.0857197324779643
6242.804191601736431.19580839826357
6342.804191601736431.19580839826357
6422.60698475134353-0.606984751343533
6500.100424275627105-0.100424275627105
6600.100424275627105-0.100424275627105
6700.100424275627105-0.100424275627105
6822.80419160173643-0.804191601736433
6900.100424275627105-0.100424275627105
7000.100424275627105-0.100424275627105
7100.100424275627105-0.100424275627105
7222.40977790095063-0.409777900950632
7300.100424275627105-0.100424275627105
7421.93104291981620.0689570801837995
7522.80419160173643-0.804191601736433
7622.80419160173643-0.804191601736433
7721.170779807940240.829220192059762
7800.100424275627105-0.100424275627105
7900.100424275627105-0.100424275627105
8000.100424275627105-0.100424275627105
8111.36798665833314-0.367986658333138
8222.80419160173643-0.804191601736433
8300.100424275627105-0.100424275627105
8452.691306031692162.30869396830784
8542.043928489860471.95607151013953
8612.40977790095063-1.40977790095063
8722.80419160173643-0.804191601736433
8832.409777900950630.590222099049368
8912.5226634709949-1.5226634709949
9000.100424275627105-0.100424275627105
9142.804191601736431.19580839826357
9200.100424275627105-0.100424275627105
9322.40977790095063-0.409777900950632
9412.80419160173643-1.80419160173643
9521.846721639467570.15327836053243
9622.80419160173643-0.804191601736433
9731.93104291981621.0689570801838
9842.804191601736431.19580839826357
9922.325456620602-0.325456620602001
10032.409777900950630.590222099049368
10111.64951478907467-0.649514789074669
10221.846721639467570.15327836053243
10332.043928489860470.95607151013953
10411.84672163946757-0.84672163946757
10500.100424275627105-0.100424275627105
10600.100424275627105-0.100424275627105
10712.80419160173643-1.80419160173643
10822.60698475134353-0.606984751343533
10932.804191601736430.195808398263567
11022.80419160173643-0.804191601736433
11100.100424275627105-0.100424275627105
11200.100424275627105-0.100424275627105
11300.100424275627105-0.100424275627105
11400.100424275627105-0.100424275627105
11521.93104291981620.0689570801837995
11621.93104291981620.0689570801837995
11732.606984751343530.393015248656467
11811.84672163946757-0.84672163946757
11953.282926582870871.71707341712914
12022.80419160173643-0.804191601736433
12111.9310429198162-0.9310429198162
12221.93104291981620.0689570801837995
12311.45230793868177-0.452307938681769
12412.1282497702091-1.1282497702091
12500.100424275627105-0.100424275627105
12622.40977790095063-0.409777900950632
12721.649514789074670.350485210925331
12832.3254566206020.674543379397999
12921.452307938681770.547692061318231
13000.100424275627105-0.100424275627105
13100.100424275627105-0.100424275627105
13241.93104291981622.0689570801838
13300.100424275627105-0.100424275627105
13412.80419160173643-1.80419160173643
13511.9310429198162-0.9310429198162
13622.1282497702091-0.128249770209101
13700.100424275627105-0.100424275627105
13800.100424275627105-0.100424275627105
13921.93104291981620.0689570801837995
14000.100424275627105-0.100424275627105
14122.60698475134353-0.606984751343533
14222.80419160173643-0.804191601736433
14311.64951478907467-0.649514789074669
14422.60698475134353-0.606984751343533
14500.100424275627105-0.100424275627105
14632.804191601736430.195808398263567
14733.00139845212933-0.00139845212933338
14832.804191601736430.195808398263567
14900.100424275627105-0.100424275627105
15000.100424275627105-0.100424275627105
15111.64951478907467-0.649514789074669
15222.325456620602-0.325456620602001
15312.60698475134353-1.60698475134353
15421.452307938681770.547692061318231
15523.00139845212933-1.00139845212933
15642.409777900950631.59022209904937
15700.100424275627105-0.100424275627105
15800.100424275627105-0.100424275627105
15900.100424275627105-0.100424275627105
16021.565193508726040.434806491273962
16100.100424275627105-0.100424275627105
16223.00139845212933-1.00139845212933
16310.7763661071544370.223633892845563
16442.804191601736431.19580839826357
16522.325456620602-0.325456620602001
16641.93104291981622.0689570801838
16700.100424275627105-0.100424275627105
16821.452307938681770.547692061318231
16900.100424275627105-0.100424275627105
17022.325456620602-0.325456620602001
17132.606984751343530.393015248656467
17213.00139845212933-2.00139845212933
17321.846721639467570.15327836053243
17442.409777900950631.59022209904937
17500.100424275627105-0.100424275627105
17600.100424275627105-0.100424275627105
17700.100424275627105-0.100424275627105
17832.3254566206020.674543379397999
17921.367986658333140.632013341666862
18011.9310429198162-0.9310429198162
18133.00139845212933-0.00139845212933338
18212.5226634709949-1.5226634709949
18300.100424275627105-0.100424275627105
18410.9735729575473370.0264270424526629
18532.804191601736430.195808398263567
18600.100424275627105-0.100424275627105
18700.100424275627105-0.100424275627105
18800.100424275627105-0.100424275627105
18922.40977790095063-0.409777900950632
19022.80419160173643-0.804191601736433
19122.325456620602-0.325456620602001
19231.73383606942331.2661639305767
19300.100424275627105-0.100424275627105
19421.649514789074670.350485210925331
19521.452307938681770.547692061318231
19632.043928489860470.95607151013953
19722.40977790095063-0.409777900950632
19811.36798665833314-0.367986658333138
19911.45230793868177-0.452307938681769
20021.846721639467570.15327836053243
20100.100424275627105-0.100424275627105
20200.100424275627105-0.100424275627105
20341.452307938681772.54769206131823
20442.606984751343531.39301524865647
20542.606984751343531.39301524865647
20600.100424275627105-0.100424275627105
20700.100424275627105-0.100424275627105
20821.846721639467570.15327836053243
20921.452307938681770.547692061318231
21000.100424275627105-0.100424275627105
21132.212571050557730.787428949442268
21231.846721639467571.15327836053243
21300.100424275627105-0.100424275627105
21412.40977790095063-1.40977790095063
21521.846721639467570.15327836053243
21632.52266347099490.477336529005098
21712.40977790095063-1.40977790095063
21822.325456620602-0.325456620602001
21943.001398452129330.998601547870667
22000.100424275627105-0.100424275627105
22122.80419160173643-0.804191601736433
22222.325456620602-0.325456620602001
22321.846721639467570.15327836053243
22400.100424275627105-0.100424275627105
22500.100424275627105-0.100424275627105
22631.452307938681771.54769206131823
22700.100424275627105-0.100424275627105
22821.93104291981620.0689570801837995
22922.325456620602-0.325456620602001
23000.100424275627105-0.100424275627105
23121.846721639467570.15327836053243
23212.40977790095063-1.40977790095063
23322.80419160173643-0.804191601736433
23400.100424275627105-0.100424275627105
23521.452307938681770.547692061318231
23612.21257105055773-1.21257105055773
23732.804191601736430.195808398263567
23800.100424275627105-0.100424275627105
23932.52266347099490.477336529005098
24000.100424275627105-0.100424275627105
24132.12824977020910.871750229790899
24200.100424275627105-0.100424275627105
24300.100424275627105-0.100424275627105
24411.45230793868177-0.452307938681769
24500.100424275627105-0.100424275627105
24600.100424275627105-0.100424275627105
24722.325456620602-0.325456620602001
24800.100424275627105-0.100424275627105
24900.100424275627105-0.100424275627105
25042.409777900950631.59022209904937
25123.08571973247796-1.08571973247796
25221.452307938681770.547692061318231
25300.100424275627105-0.100424275627105
25431.452307938681771.54769206131823
25531.93104291981621.0689570801838
25622.80419160173643-0.804191601736433
25710.7763661071544370.223633892845563
25800.100424275627105-0.100424275627105
25923.00139845212933-1.00139845212933
26000.100424275627105-0.100424275627105
26100.100424275627105-0.100424275627105
26200.100424275627105-0.100424275627105
26300.100424275627105-0.100424275627105
26431.649514789074671.35048521092533
26521.452307938681770.547692061318231
26623.00139845212933-1.00139845212933
26700.100424275627105-0.100424275627105
26832.804191601736430.195808398263567
26911.25510108828887-0.255101088288868
27022.80419160173643-0.804191601736433
27100.100424275627105-0.100424275627105
27200.100424275627105-0.100424275627105
27300.100424275627105-0.100424275627105
27411.9310429198162-0.9310429198162
27500.100424275627105-0.100424275627105
27622.325456620602-0.325456620602001
27731.452307938681771.54769206131823
27800.100424275627105-0.100424275627105
27932.3254566206020.674543379397999
28032.804191601736430.195808398263567
28122.325456620602-0.325456620602001
28200.100424275627105-0.100424275627105
28300.100424275627105-0.100424275627105
28400.100424275627105-0.100424275627105
28541.93104291981622.0689570801838
28600.100424275627105-0.100424275627105
28700.100424275627105-0.100424275627105
28800.100424275627105-0.100424275627105
28900.100424275627105-0.100424275627105


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.9966377218837540.006724556232492490.00336227811624624
70.9977301792785230.00453964144295310.00226982072147655
80.9951256959459710.009748608108058970.00487430405402949
90.9902724412787650.019455117442470.009727558721235
100.9980862139775910.003827572044817390.00191378602240869
110.9962313777582520.007537244483495590.0037686222417478
120.9968363821792180.006327235641563390.0031636178207817
130.9944413872522130.01111722549557360.00555861274778679
140.9911970354845280.01760592903094360.0088029645154718
150.9858755937920660.02824881241586850.0141244062079343
160.9781193681999590.04376126360008190.021880631800041
170.9781476285744630.04370474285107310.0218523714255366
180.9762114528896090.04757709422078160.0237885471103908
190.9662870399855080.06742592002898340.0337129600144917
200.9522604403155080.09547911936898310.0477395596844915
210.9665202200848870.06695955983022520.0334797799151126
220.9542007441327370.09159851173452640.0457992558672632
230.9373988984816430.1252022030367130.0626011015183565
240.9169754281843340.1660491436313330.0830245718156665
250.8921433718562020.2157132562875970.107856628143798
260.9060530140972370.1878939718055270.0939469859027633
270.9669841461786390.06603170764272260.0330158538213613
280.9553821281086820.08923574378263660.0446178718913183
290.9427493220203480.1145013559593040.0572506779796519
300.9489455046675140.1021089906649720.0510544953324862
310.9553929431956220.08921411360875660.0446070568043783
320.9415845989063840.1168308021872320.058415401093616
330.9263912904098240.1472174191803520.073608709590176
340.9149268046609480.1701463906781040.0850731953390518
350.8932055078538760.2135889842922470.106794492146124
360.9396701068774680.1206597862450640.0603298931225318
370.9637840877133230.07243182457335470.0362159122866773
380.9529900912422820.09401981751543620.0470099087577181
390.9423255924344010.1153488151311990.0576744075655996
400.9271141048943790.1457717902112420.0728858951056212
410.9091424821305770.1817150357388470.0908575178694233
420.9203757126782630.1592485746434740.0796242873217368
430.9259002102746160.1481995794507680.0740997897253842
440.936265190152370.1274696196952610.0637348098476305
450.9207043755791660.1585912488416670.0792956244208337
460.9283273388904270.1433453222191450.0716726611095726
470.9129634995948590.1740730008102830.0870365004051413
480.8994764354748860.2010471290502270.100523564525114
490.87853072780550.2429385443890010.1214692721945
500.8548294131155950.2903411737688090.145170586884405
510.8716592731009770.2566814537980470.128340726899023
520.8475039015651080.3049921968697850.152496098434892
530.8316126242590830.3367747514818350.168387375740917
540.866012090820260.267975818359480.13398790917974
550.8748116675874150.2503766648251690.125188332412585
560.8606255858692730.2787488282614540.139374414130727
570.8360130815120590.3279738369758830.163986918487941
580.8088735318438690.3822529363122620.191126468156131
590.7792826426239690.4414347147520610.220717357376031
600.7473754043588880.5052491912822250.252624595641112
610.7135544362033760.5728911275932480.286445563796624
620.7379364723724720.5241270552550550.262063527627528
630.7587869811829060.4824260376341890.241213018817094
640.7513787581704140.4972424836591720.248621241829586
650.7184513989921780.5630972020156440.281548601007822
660.6836953562035320.6326092875929350.316304643796468
670.6473803254083960.7052393491832080.352619674591604
680.6683511414500650.6632977170998710.331648858549935
690.631796180372780.736407639254440.36820381962722
700.5941461944282660.8117076111434680.405853805571734
710.5557434272819120.8885131454361770.444256572718089
720.5241600768383410.9516798463233190.47583992316166
730.4853474440175860.9706948880351730.514652555982414
740.4469226496720110.8938452993440210.553077350327989
750.4662089946836440.9324179893672890.533791005316356
760.4819624973508680.9639249947017370.518037502649132
770.4691912614805870.9383825229611730.530808738519413
780.4315231215019620.8630462430039230.568476878498039
790.3945774276898520.7891548553797040.605422572310148
800.3586614560549130.7173229121098260.641338543945087
810.3524607066127890.7049214132255780.647539293387211
820.364086928953110.7281738579062210.63591307104689
830.3295590027239810.6591180054479630.670440997276019
840.62858365824180.74283268351640.3714163417582
850.7700515795810940.4598968408378130.229948420418906
860.8270038564004170.3459922871991660.172996143599583
870.8338777992222160.3322444015555670.166122200777784
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1780.9125049130409030.1749901739181950.0874950869590974
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1800.9120770807246570.1758458385506850.0879229192753426
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1820.9425077295665340.1149845408669320.0574922704334662
1830.9318357320659610.1363285358680780.0681642679340388
1840.919576340428140.1608473191437190.0804236595718597
1850.9061240790004690.1877518419990620.0938759209995309
1860.8907216739817450.218556652036510.109278326018255
1870.8735683422401010.2528633155197980.126431657759899
1880.854607960376620.2907840792467590.14539203962338
1890.838442286334580.3231154273308390.16155771366542
1900.8439914829669090.3120170340661820.156008517033091
1910.8290158365336620.3419683269326760.170984163466338
1920.8707023849707820.2585952300584370.129297615029218
1930.8511112794052690.2977774411894620.148888720594731
1940.8320965252150640.3358069495698710.167903474784936
1950.8193006543216470.3613986913567060.180699345678353
1960.8209023266915640.3581953466168720.179097673308436
1970.80165950419090.3966809916182010.1983404958091
1980.7910814863211680.4178370273576650.208918513678832
1990.7751651693131910.4496696613736180.224834830686809
2000.7478827136601650.5042345726796710.252117286339835
2010.7182823942168740.5634352115662520.281717605783126
2020.6870596828643030.6258806342713940.312940317135697
2030.9202322537801610.1595354924396790.0797677462198394
2040.9516371220166590.09672575596668190.048362877983341
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2100.9368993546697310.1262012906605380.0631006453302688
2110.9549508711868810.09009825762623810.0450491288131191
2120.960023230344510.07995353931097990.0399767696554899
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2150.9546822219702340.09063555605953160.0453177780297658
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2170.9625503429943650.07489931401127010.0374496570056351
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2200.9534397180725020.0931205638549960.046560281927498
2210.9542572486899520.09148550262009630.0457427513100482
2220.9464282848033520.1071434303932950.0535717151966477
2230.9341928482916150.1316143034167710.0658071517083854
2240.9201692575959730.1596614848080540.0798307424040268
2250.9039495166226790.1921009667546430.0960504833773215
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2290.9144890797403180.1710218405193630.0855109202596817
2300.8967476903459040.2065046193081910.103252309654096
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2330.9213814698023770.1572370603952470.0786185301976233
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2350.8935278248551830.2129443502896340.106472175144817
2360.9384162965768190.1231674068463610.0615837034231807
2370.9233839490449620.1532321019100760.0766160509550382
2380.9057507308931970.1884985382136050.0942492691068027
2390.9034413238967870.1931173522064260.0965586761032132
2400.8823411969130470.2353176061739070.117658803086953
2410.8882576218992360.2234847562015290.111742378100764
2420.8645116358710610.2709767282578780.135488364128939
2430.8373862617282250.3252274765435510.162613738271775
2440.8195959120181390.3608081759637220.180404087981861
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2460.7507980004893690.4984039990212630.249201999510631
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2480.670440017909990.6591199641800190.32955998209001
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2500.7276808460860410.5446383078279180.272319153913959
2510.82047117200840.35905765598320.1795288279916
2520.7984851234760870.4030297530478260.201514876523913
2530.7598807787078740.4802384425842530.240119221292126
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2580.8258956375843680.3482087248312640.174104362415632
2590.8526778666839480.2946442666321030.147322133316052
2600.8155345464353330.3689309071293340.184465453564667
2610.772575249156660.454849501686680.22742475084334
2620.7239353029491930.5521293941016140.276064697050807
2630.6700643018513280.6598713962973430.329935698148672
2640.8178251085683610.3643497828632790.182174891431639
2650.7951129027690130.4097741944619740.204887097230987
2660.8213198468679870.3573603062640270.178680153132013
2670.7719169625299460.4561660749401080.228083037470054
2680.7144574101358240.5710851797283520.285542589864176
2690.6834273694740910.6331452610518170.316572630525909
2700.776590651903830.446818696192340.22340934809617
2710.7140028869788570.5719942260422860.285997113021143
2720.6424814870931590.7150370258136820.357518512906841
2730.5636677688670890.8726644622658220.436332231132911
2740.9735128266132240.05297434677355290.0264871733867764
2750.9543540229381790.09129195412364110.0456459770618206
2760.9307880142806240.1384239714387520.069211985719376
2770.9791534090981840.04169318180363260.0208465909018163
2780.9586310910884290.08273781782314190.0413689089115709
2790.9966992695243240.006601460951352910.00330073047567645
28014.39248842195134e-952.19624421097567e-95
28118.04724869920855e-804.02362434960428e-80
28211.00400987919105e-605.02004939595524e-61
28312.35590534478555e-491.17795267239278e-49


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level110.039568345323741NOK
5% type I error level190.0683453237410072NOK
10% type I error level470.169064748201439NOK