Multiple Linear Regression - Estimated Regression Equation
ParentalCriticism[t] = + 16.0234048905969 -1.34666003590030Month[t] + 0.150828087380878DoubtsActions[t] + 0.441218810283992ParentalExpectations[t] + 0.0296860262939057Standards[t] -0.105384926748471`Organization `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)16.02340489059699.0917591.76240.0799970.039998
Month-1.346660035900300.897792-1.50.1356830.067841
DoubtsActions0.1508280873808780.0611322.46730.0147180.007359
ParentalExpectations0.4412188102839920.0530058.324100
Standards0.02968602629390570.0457090.64950.5170160.258508
`Organization `-0.1053849267484710.048531-2.17150.0314350.015717


Multiple Linear Regression - Regression Statistics
Multiple R0.630246087960682
R-squared0.397210131389744
Adjusted R-squared0.377511116075683
F-TEST (value)20.1639587084449
F-TEST (DF numerator)5
F-TEST (DF denominator)153
p-value1.99840144432528e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.13581302072108
Sum Squared Residuals697.939680700698


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1128.84092123954383.15907876045619
286.969402542804531.03059745719547
3810.5651104867126-2.56511048671264
488.26577090327395-0.265770903273949
599.05549396019402-0.0554939601940226
678.30330086747107-1.30330086747107
747.02601980716237-3.02601980716237
8117.539015548949323.46098445105068
978.4508737116258-1.45087371162580
1077.94054140993561-0.940541409935612
11128.729429269142023.27057073085798
121010.0933483628200-0.0933483628199535
13106.743658149706973.25634185029303
1487.67313220247970.326867797520302
1587.433630622200850.566369377799147
1647.62914379635547-3.62914379635547
1796.430620654074152.56937934592585
1887.767821390897780.232178609102220
1979.38800334197132-2.38800334197132
201110.74419759954440.255802400455617
2198.142327898472840.857672101527163
221111.4277005320023-0.42770053200232
23138.442271699863924.55772830013608
2487.19108101584150.808918984158504
2586.712262982828311.28773701717169
2698.535251747697240.464748252302757
2768.74545188766593-2.74545188766593
2897.684898109334521.31510189066548
2999.26236959840449-0.262369598404491
3067.8793411149647-1.87934111496470
3165.72204247960050.277957520399497
321611.15459095647804.84540904352204
33511.1218181589461-6.12181815894612
3477.37338462674195-0.373384626741947
3599.94404428847933-0.944044288479331
3667.06190988930681-1.06190988930681
3766.6996231331024-0.699623133102397
3858.4508737116258-3.4508737116258
391210.82142051303921.17857948696080
4078.09840875088068-1.09840875088069
411010.2206252212254-0.220625221225379
4298.409618004130410.590381995869588
4389.30742817305315-1.30742817305315
4459.2920556246984-4.2920556246984
4586.825256876669231.17474312333077
4687.17924585045460.8207541495454
47108.8505713302291.14942866977101
4867.06008164692371-1.06008164692371
4987.67800847094330.321991529056693
50710.6981847253837-3.69818472538372
5145.32968834390435-1.32968834390435
5287.303051351638330.696948648361666
5387.002653705731420.997346294268578
5444.86821748401608-0.868217484016083
552013.13556293130446.8644370686956
5687.468497146301210.531502853698792
5787.286154790243330.713845209756673
5868.3344888172041-2.3344888172041
5944.40344744475664-0.403447444756638
6089.28451591613803-1.28451591613803
6197.286724503771581.71327549622842
6267.98415632818492-1.98415632818492
6378.30549160623679-1.30549160623679
6496.23054653890762.76945346109240
6557.05867350289588-2.05867350289588
6655.94560179799634-0.945601797996344
6786.740690480267371.25930951973263
6888.23854109993117-0.238541099931174
6966.85916910125758-0.85916910125758
7087.176847894543250.82315210545675
7177.3333070914605-0.333307091460493
7276.084779847534830.91522015246517
7398.59405408675680.405945913243198
741111.0200897169638-0.0200897169638392
7568.64006696091746-2.64006696091746
7687.740348192970720.259651807029279
7768.39302567207825-2.39302567207825
7898.667659260642860.332340739357141
7986.405545412058441.59445458794156
8068.37544029535665-2.37544029535665
81108.300999923756931.69900007624307
8286.079834320539141.92016567946086
8388.34815222497409-0.348152224974092
84109.035842610569050.964157389430953
8555.91678971457353-0.916789714573533
8679.33989674124215-2.33989674124215
8757.16109076020475-2.16109076020475
8886.26598277653621.73401722346379
89149.909296866177314.09070313382269
9077.651290114089-0.651290114089004
9188.82088530393509-0.820885303935087
9264.875491708391041.12450829160896
9356.26769191712096-1.26769191712096
9469.22876160315898-3.22876160315898
95106.545677761108933.45432223889107
961211.54062516731120.459374832688838
9799.135900657124-0.135900657123995
981210.86983134311121.13016865688879
9977.53014805300203-0.530148053002031
10088.33296480416384-0.332964804163844
101109.153062702704410.846937297295586
10267.25817790453418-1.25817790453418
1031011.2049764113201-1.20497641132014
104108.686649548606381.31335045139363
105107.059362318222472.94063768177753
10658.44569321381935-3.44569321381935
10776.918422052047050.0815779479529461
108108.633362450070761.36663754992924
109119.726689025934021.27331097406598
11068.1952304110247-2.19523041102471
11177.47134571394247-0.471345713942473
112128.82804042651173.17195957348829
113116.339164619281084.66083538071892
1141110.80200689393450.197993106065491
115115.428564985459455.57143501454055
11657.59344207454145-2.59344207454145
117810.229254513576-2.22925451357600
11866.77828970299657-0.778289702996566
11999.4105342456886-0.410534245688608
12046.76157826914606-2.76157826914606
12145.7578134599466-1.75781345994660
12278.32904283521224-1.32904283521224
123119.585298148028691.41470185197131
12464.369839449511131.63016055048887
12577.03252809235574-0.0325280923557444
12689.91618650456852-1.91618650456852
12746.29947166998338-2.29947166998338
12887.041776941500870.958223058499127
12998.125547206090250.874452793909746
13087.659018182979790.340981817020209
131118.767293976056632.23270602394337
13287.470776000414220.52922399958578
13356.71043474044521-1.71043474044521
13445.84489368127223-1.84489368127223
13587.410834234298160.589165765701845
1361011.7953141684003-1.79531416840026
13768.26853135556792-2.26853135556792
13899.35598861829815-0.355988618298145
13997.152223264257461.84777673574254
140138.8845140681924.11548593180800
14197.846756677763271.15324332223673
142109.527450108481130.472549891518867
1432014.82720648642925.17279351357077
14456.00192582450364-1.00192582450364
1451110.38259965866660.617400341333438
14668.09574531078392-2.09574531078392
147910.1548141419763-1.15481414197627
14877.28337224834823-0.283372248348227
14998.135739256638560.864260743361444
150108.426514565525421.57348543447458
15196.919376351559062.08062364844094
152810.2127812833222-2.21278128332217
153711.2862403955649-4.28624039556491
15469.39073604060016-3.39073604060016
1551311.64505579454761.35494420545237
15668.00105288957993-2.00105288957993
15787.705031057140450.294968942859549
158109.470476011804670.529523988195328
1591611.75017523711074.24982476288931


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.8386603366341670.3226793267316650.161339663365833
100.7554826392277830.4890347215444350.244517360772217
110.8728844559958110.2542310880083770.127115544004189
120.8094931749591210.3810136500817570.190506825040879
130.8605277290438070.2789445419123860.139472270956193
140.8269127789368050.3461744421263890.173087221063195
150.7578209852313370.4843580295373250.242179014768663
160.7320750554179610.5358498891640780.267924944582039
170.7075832428977830.5848335142044350.292416757102217
180.6529042172137410.6941915655725190.347095782786259
190.5896645172614010.8206709654771970.410335482738598
200.5167486007791820.9665027984416350.483251399220818
210.4428788368966950.885757673793390.557121163103305
220.3676220759076760.7352441518153520.632377924092324
230.6429889209614560.7140221580770890.357011079038544
240.5844686118501280.8310627762997440.415531388149872
250.5241927162778630.9516145674442740.475807283722137
260.4723858925244950.944771785048990.527614107475505
270.4673971223267940.9347942446535880.532602877673206
280.4159190161676610.8318380323353220.584080983832339
290.3588424503060760.7176849006121520.641157549693924
300.346202246693910.692404493387820.65379775330609
310.2888840072964930.5777680145929850.711115992703507
320.5659242060960750.8681515878078510.434075793903925
330.7928815271523580.4142369456952840.207118472847642
340.770208850972350.4595822980552990.229791149027649
350.7296458901373070.5407082197253850.270354109862693
360.7079778121945240.5840443756109510.292022187805476
370.6590788180520580.6818423638958840.340921181947942
380.8291195606248180.3417608787503640.170880439375182
390.8292365893871320.3415268212257360.170763410612868
400.7971036542908280.4057926914183440.202896345709172
410.7569786630400180.4860426739199650.243021336959982
420.7233742856820750.553251428635850.276625714317925
430.7052755884964760.5894488230070480.294724411503524
440.7914815815812730.4170368368374540.208518418418727
450.7657565186510340.4684869626979320.234243481348966
460.7266251230829340.5467497538341330.273374876917066
470.6892352832992340.6215294334015310.310764716700766
480.6524147789483310.6951704421033380.347585221051669
490.607145112450380.785709775099240.39285488754962
500.6722295100824080.6555409798351840.327770489917592
510.6789186797736280.6421626404527440.321081320226372
520.6360474653881160.7279050692237680.363952534611884
530.593403548000880.813192903998240.40659645199912
540.5655677179954430.8688645640091150.434432282004557
550.9400051937212480.1199896125575040.0599948062787521
560.9248896349757870.1502207300484260.0751103650242132
570.9088094975264390.1823810049471220.091190502473561
580.910060074791790.1798798504164210.0899399252082107
590.8895551726282840.2208896547434320.110444827371716
600.8773915821060270.2452168357879470.122608417893973
610.8681041564294240.2637916871411520.131895843570576
620.8631406744296740.2737186511406530.136859325570326
630.8466826967573650.3066346064852710.153317303242635
640.8635006181332830.2729987637334340.136499381866717
650.8612906212601150.277418757479770.138709378739885
660.8400955301093110.3198089397813770.159904469890689
670.8202823798164960.3594352403670080.179717620183504
680.7893110840078480.4213778319843040.210688915992152
690.7606976358859330.4786047282281340.239302364114067
700.7282303939352070.5435392121295860.271769606064793
710.6888013665024350.6223972669951310.311198633497565
720.6534599893251230.6930800213497530.346540010674877
730.6114271298061180.7771457403877640.388572870193882
740.5657669160328820.8684661679342360.434233083967118
750.5900200584121480.8199598831757030.409979941587852
760.5444638547181210.9110722905637570.455536145281879
770.5569347100685780.8861305798628430.443065289931422
780.5112499699368690.9775000601262610.488750030063131
790.4864761889907890.9729523779815770.513523811009211
800.4973845349877350.994769069975470.502615465012265
810.4764619684174840.9529239368349680.523538031582516
820.4637088260049220.9274176520098440.536291173995078
830.4188606495207330.8377212990414650.581139350479267
840.3825661754149230.7651323508298470.617433824585077
850.3484672740546490.6969345481092970.651532725945351
860.3565015850898140.7130031701796280.643498414910186
870.360858324983070.721716649966140.63914167501693
880.3409725313623850.681945062724770.659027468637615
890.4534179293166260.9068358586332510.546582070683374
900.4108396668220080.8216793336440150.589160333177992
910.3720068400753240.7440136801506480.627993159924676
920.3387138150286980.6774276300573960.661286184971302
930.3099932324630820.6199864649261640.690006767536918
940.3620919562500470.7241839125000950.637908043749953
950.429239445132040.858478890264080.57076055486796
960.3854802040646340.7709604081292680.614519795935366
970.3406583282622930.6813166565245860.659341671737707
980.3093142233454790.6186284466909580.690685776654521
990.2698817404130030.5397634808260070.730118259586997
1000.2319250276446540.4638500552893090.768074972355346
1010.2015910453467070.4031820906934130.798408954653293
1020.1789586522711750.3579173045423490.821041347728826
1030.1584828584358820.3169657168717640.841517141564118
1040.1395854635282940.2791709270565890.860414536471706
1050.1710414631222520.3420829262445040.828958536877748
1060.2189119120645280.4378238241290570.781088087935472
1070.1850107782741160.3700215565482310.814989221725884
1080.1652879305815540.3305758611631080.834712069418446
1090.1461075434962780.2922150869925570.853892456503722
1100.1417777807872930.2835555615745850.858222219212707
1110.1161124332984320.2322248665968640.883887566701568
1120.1559579014883220.3119158029766440.844042098511678
1130.2861308476465060.5722616952930130.713869152353494
1140.2481020173694150.496204034738830.751897982630585
1150.5938535764757260.8122928470485470.406146423524274
1160.5908319889881020.8183360220237950.409168011011898
1170.5998346649489130.8003306701021750.400165335051087
1180.5505937044396690.8988125911206620.449406295560331
1190.496421688302350.99284337660470.50357831169765
1200.5820279396947490.8359441206105030.417972060305251
1210.5502916341729070.8994167316541850.449708365827093
1220.5479662365741790.9040675268516430.452033763425821
1230.5080606877440510.9838786245118990.491939312255949
1240.527685599454170.944628801091660.47231440054583
1250.4684680192970940.9369360385941880.531531980702906
1260.4532201835361150.906440367072230.546779816463885
1270.4292285027841170.8584570055682340.570771497215883
1280.4113703831729730.8227407663459470.588629616827027
1290.3853226493884360.7706452987768720.614677350611564
1300.3430511486385620.6861022972771250.656948851361438
1310.3405170970413280.6810341940826570.659482902958672
1320.2863806516975150.5727613033950290.713619348302485
1330.2396191964275240.4792383928550470.760380803572476
1340.2046022108430680.4092044216861350.795397789156932
1350.1646175896505230.3292351793010460.835382410349477
1360.1520300537941040.3040601075882070.847969946205896
1370.1631001964496020.3262003928992050.836899803550398
1380.1473517569402280.2947035138804560.852648243059772
1390.1820739004252550.3641478008505110.817926099574745
1400.2318952790347190.4637905580694390.76810472096528
1410.1769922806012130.3539845612024260.823007719398787
1420.1407748956207760.2815497912415520.859225104379224
1430.2129721689071780.4259443378143560.787027831092822
1440.1617095290220660.3234190580441310.838290470977934
1450.1163985678807630.2327971357615260.883601432119237
1460.08503171245338070.1700634249067610.91496828754662
1470.05139799291057280.1027959858211460.948602007089427
1480.02797050120828390.05594100241656780.972029498791716
1490.01595898723351660.03191797446703320.984041012766483
1500.008440950934377350.01688190186875470.991559049065623


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0140845070422535OK
10% type I error level30.0211267605633803OK