Multiple Linear Regression - Estimated Regression Equation
Schoolprestaties[t] = + 6.43367253896819 + 0.450179139377826Sport[t] + 0.085372627349095GoingOut[t] -0.138164152811177Relation[t] + 0.295236033763927Family[t] -0.0749226417961014Friends[t] + 0.318308737029959Coach[t] + 0.0206352291166547Job[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.433672538968191.4568094.41631.9e-051e-05
Sport0.4501791393778260.1765862.54940.011810.005905
GoingOut0.0853726273490950.1435260.59480.5528690.276434
Relation-0.1381641528111770.100566-1.37390.1715610.08578
Family0.2952360337639270.1893491.55920.1210810.060541
Friends-0.07492264179610140.13832-0.54170.5888650.294433
Coach0.3183087370299590.1390742.28880.0235080.011754
Job0.02063522911665470.1671480.12350.9019150.450957


Multiple Linear Regression - Regression Statistics
Multiple R0.431556935643619
R-squared0.186241388702111
Adjusted R-squared0.147752805735319
F-TEST (value)4.8388736177375
F-TEST (DF numerator)7
F-TEST (DF denominator)148
p-value6.20325530915622e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.22513632282737
Sum Squared Residuals1539.42263652143


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11410.55337546317953.44662453682054
2811.5200618216032-3.52006182160317
31211.93902625156760.060973748432418
4712.6266623780542-5.62666237805421
51013.0925319504486-3.09253195044858
6911.8050193203685-2.80501932036849
71614.49051367958871.50948632041129
879.72264782589193-2.72264782589193
91412.181779458681.81822054132005
10611.0456118318527-5.04561183185268
111612.17354237114933.82645762885071
121111.6220327824491-0.622032782449136
131713.33646795530453.66353204469552
141211.40171035184010.598289648159931
15712.4189472280584-5.41894722805835
161310.973847596082.02615240391995
1797.591050808089491.40894919191051
181514.30824032003110.691759679968923
19710.5132184711492-3.51321847114923
20910.3015228853222-1.30152288532223
2178.9320689990124-1.93206899901241
221413.76680481723940.233195182760608
231510.68885475041814.31114524958192
24712.9380112607235-5.93801126072353
251312.17354237114930.826457628850708
261712.17354237114934.82645762885071
271513.60600061986911.39399938013087
28149.082584089916624.91741591008338
291412.95842511890061.04157488109943
30811.287253791427-3.28725379142698
3189.3239443858446-1.3239443858446
321214.1077658426571-2.10776584265711
331413.04481471583040.95518528416962
34812.4195643385144-4.4195643385144
351110.30152288532220.698477114677765
361611.69065263514074.30934736485931
371113.0025272880164-2.00252728801635
38811.2168973991191-3.21689739911911
391412.35212737111061.64787262888939
401610.04725197383025.95274802616985
411411.75249453790632.24750546209368
42511.3021240381773-6.30212403817729
4389.42741882975867-1.42741882975867
441010.3598981880733-0.359898188073331
45812.2589149984984-4.25891499849839
461312.6365248475460.363475152453992
471511.51202436378263.48797563621735
48611.4103664924105-5.41036649241052
491210.29185177618161.70814822381836
501412.81902982086141.18097017913864
51512.7869780728428-7.78697807284279
521512.85865690080312.14134309919693
531111.907718163175-0.907718163174993
54810.0895071723907-2.08950717239074
551311.33307472148311.66692527851693
561412.76373362041591.2362663795841
57129.7247006603622.27529933963799
581612.49491273041533.50508726958466
59108.491409086845141.50859091315486
601514.0661970860930.933802913906998
6189.47435270975693-1.47435270975693
62169.091639503840276.90836049615973
631913.32083602504635.67916397495369
641411.45917519238872.54082480761127
65712.3892834625206-5.38928346252062
661311.9077181631751.09228183682501
671511.66613495156493.33386504843508
6879.3174880124059-2.31748801240591
691312.90563359343850.0943664065615145
7049.61024209893835-5.61024209893835
711411.77308439496272.22691560503732
721312.68124808906450.318751910935544
73119.610340125895451.38965987410455
741411.60728393636462.39271606363539
751211.10243883769550.89756116230455
761513.46137225256271.53862774743734
771411.92835339229162.07164660770835
781311.36532273636271.63467726363728
7979.98601102853903-2.98601102853903
8057.96695059427243-2.96695059427243
81711.8669077272697-4.86690772726969
821312.99501816999050.00498183000954396
831311.41095865644961.58904134355035
841112.5520380345889-1.55203803458891
8568.7344968837482-2.73449688374821
861213.0025272880164-1.00252728801635
8789.62952133606113-1.62952133606113
881111.8864553811634-0.886455381163419
891214.6565937709722-2.65659377097215
9099.94929722274015-0.949297222740151
911210.63361615375281.36638384624718
921313.6657391099064-0.665739109906395
931613.15082257229612.84917742770387
941613.23704340759812.76295659240194
951112.9994569257455-1.99945692574549
96810.4229255234411-2.42292552344109
9748.1138599594134-4.11385995941341
9879.7152682026098-2.7152682026098
991411.21689739911912.78310260088089
1001111.3916288110257-0.391628811025697
1011713.02623287940393.97376712059613
1021513.13018734317951.86981265682053
1031412.77899050785611.22100949214392
104511.6686587670628-6.6686587670628
105411.3215144329553-7.32151443295527
1061912.19761512214666.80238487785344
107119.821276059075551.17872394092445
1081512.37322262255532.62677737744474
109109.303607455058740.696392544941258
110910.939552123916-1.93955212391604
111129.610242098938352.38975790106165
1121512.55347892284182.4465210771582
113713.0025272880164-6.00252728801635
1141311.41957757922311.58042242077689
1151413.09626479523580.903735204764227
1161412.17354237114931.82645762885071
1171413.88200137333150.117998626668537
118811.0325721496547-3.03257214965466
1191512.08816974380022.9118302561998
1201510.63361615375284.36638384624717
12199.7264194213023-0.726419421302312
1221611.92835339229164.07164660770835
123911.4922945182892-2.49229451828918
1241513.56178464613081.43821535386921
1251512.17354237114932.82645762885071
126611.6906526351407-5.69065263514069
127813.5745965511151-5.57459655111509
1281512.23544805849932.76455194150074
129108.370389944414041.62961005558596
130910.6421637836354-1.64216378363544
1311413.97063921518020.0293607848197538
1321213.9574534991062-1.95745349910623
133810.4709000451427-2.47090004514272
1341111.8349900823126-0.834990082312648
1351311.15770856138931.84229143861074
136910.8129090383336-1.81290903833363
1371512.661036778622.33896322138003
138139.427418829758673.57258117024133
1391512.17354237114932.82645762885071
1401411.9077181631752.09228183682501
1411611.24141508269494.75858491730513
1421212.1735423711493-0.173542371149291
143149.486455758199564.51354424180044
1441010.1435094174375-0.143509417437472
145109.761243103150730.238756896849271
146413.023162517133-9.023162517133
147811.2994383155857-3.29943831558573
1481713.18258927988643.81741072011361
1491611.9487744457614.05122555423901
1501214.3638705940063-2.36387059400631
1511211.55276396536420.447236034635813
1521513.13018734317951.86981265682053
15399.52159653403442-0.521596534034424
1541312.85013546117440.149864538825616
1551411.83499008231262.16500991768735
156119.788028512725591.21197148727442


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.5871268224091710.8257463551816570.412873177590829
120.4294500378764220.8589000757528430.570549962123578
130.5054569611191810.9890860777616370.494543038880819
140.6006882448531810.7986235102936380.399311755146819
150.8541246571070870.2917506857858260.145875342892913
160.7903947788793010.4192104422413970.209605221120699
170.7912954913008240.4174090173983510.208704508699176
180.7197821563615320.5604356872769360.280217843638468
190.7462969438916490.5074061122167030.253703056108351
200.679219552586710.641560894826580.32078044741329
210.6055780770383030.7888438459233940.394421922961697
220.529333078619110.941333842761780.47066692138089
230.6247424909842150.750515018031570.375257509015785
240.7387536591617860.5224926816764280.261246340838214
250.6811209391012080.6377581217975840.318879060898792
260.7426142008782640.5147715982434730.257385799121736
270.6900664962281280.6198670075437430.309933503771872
280.7552497610158670.4895004779682660.244750238984133
290.7454911773516960.5090176452966070.254508822648304
300.7611837338349480.4776325323301030.238816266165052
310.740041397234160.5199172055316810.259958602765841
320.6936021701771030.6127956596457950.306397829822897
330.6393092030192630.7213815939614730.360690796980737
340.625239147016550.74952170596690.37476085298345
350.5677274425002070.8645451149995870.432272557499793
360.564889319181880.870221361636240.43511068081812
370.5133945048668740.9732109902662530.486605495133126
380.5105423106428810.9789153787142370.489457689357119
390.455879141933110.911758283866220.54412085806689
400.492858530675250.9857170613505010.507141469324749
410.5465601853446980.9068796293106050.453439814655302
420.6662543677205350.667491264558930.333745632279465
430.6314702968599490.7370594062801020.368529703140051
440.5801548999159910.8396902001680180.419845100084009
450.5912395809396140.8175208381207730.408760419060386
460.5390583336747980.9218833326504040.460941666325202
470.5107188569581970.9785622860836060.489281143041803
480.5679917918527080.8640164162945830.432008208147292
490.5364593083592990.9270813832814020.463540691640701
500.5001276924436530.9997446151126940.499872307556347
510.783093651947230.4338126961055410.21690634805277
520.7645961520182350.470807695963530.235403847981765
530.7270483055457460.5459033889085090.272951694454254
540.704823182878710.590353634242580.29517681712129
550.6699081858517810.6601836282964370.330091814148219
560.6324525881565240.7350948236869510.367547411843476
570.613410156620730.773179686758540.38658984337927
580.634260750786590.7314784984268210.365739249213411
590.5937083364930130.8125833270139750.406291663506987
600.5513471415403310.8973057169193380.448652858459669
610.5086737179324480.9826525641351040.491326282067552
620.7306206810983820.5387586378032360.269379318901618
630.8190563941500680.3618872116998640.180943605849932
640.8031956726282120.3936086547435770.196804327371788
650.8497939551339920.3004120897320160.150206044866008
660.825559050287720.348881899424560.17444094971228
670.8296858292252260.3406283415495490.170314170774774
680.8292680510765050.3414638978469890.170731948923495
690.7972827779098960.4054344441802080.202717222090104
700.8611666128697220.2776667742605550.138833387130278
710.8459829603425420.3080340793149160.154017039657458
720.8219471714784890.3561056570430220.178052828521511
730.796456112371480.4070877752570420.203543887628521
740.7791096191861690.4417807616276620.220890380813831
750.743936831329050.5121263373419010.256063168670951
760.7159579698235420.5680840603529150.284042030176458
770.692541977555470.6149160448890580.307458022444529
780.6605085728618930.6789828542762140.339491427138107
790.654885843548910.690228312902180.34511415645109
800.6479157401103830.7041685197792330.352084259889617
810.7017594341324320.5964811317351370.298240565867568
820.6588364662901650.682327067419670.341163533709835
830.6227882743332950.754423451333410.377211725666705
840.5989440509688780.8021118980622430.401055949031122
850.5809745603378530.8380508793242930.419025439662147
860.5370983653466240.9258032693067510.462901634653376
870.5001607066197410.9996785867605170.499839293380259
880.4573860904633610.9147721809267230.542613909536639
890.4375201802937890.8750403605875790.56247981970621
900.3974563673343060.7949127346686110.602543632665694
910.3579731135613790.7159462271227580.642026886438621
920.3166059950257940.6332119900515880.683394004974206
930.3010545776083830.6021091552167660.698945422391617
940.2809061937423870.5618123874847740.719093806257613
950.2542398341830620.5084796683661250.745760165816938
960.2361247204566080.4722494409132160.763875279543392
970.2649724159357380.5299448318714760.735027584064262
980.2583089121478670.5166178242957340.741691087852133
990.241357046629090.4827140932581790.75864295337091
1000.2061792480881480.4123584961762950.793820751911852
1010.225043363030990.4500867260619790.77495663696901
1020.1989594045566890.3979188091133790.80104059544331
1030.1709729896065110.3419459792130220.829027010393489
1040.2843770123684140.5687540247368280.715622987631586
1050.5146534809670520.9706930380658950.485346519032948
1060.6834958740658330.6330082518683340.316504125934167
1070.6386179399221730.7227641201556540.361382060077827
1080.6106178920287480.7787642159425030.389382107971252
1090.5627257880187480.8745484239625050.437274211981252
1100.5362015038767630.9275969922464750.463798496123237
1110.4946037161881150.989207432376230.505396283811885
1120.4647666117565590.9295332235131170.535233388243441
1130.583203252059180.833593495881640.41679674794082
1140.53700602481150.9259879503769990.4629939751885
1150.5337675586614980.9324648826770040.466232441338502
1160.4905100475013110.9810200950026220.509489952498689
1170.4346073605210240.8692147210420490.565392639478976
1180.4351878477617270.8703756955234550.564812152238273
1190.4163872939824830.8327745879649660.583612706017517
1200.438325358714190.876650717428380.56167464128581
1210.3875953291413030.7751906582826070.612404670858697
1220.4348858048175460.8697716096350920.565114195182454
1230.4366312513732140.8732625027464280.563368748626786
1240.44358030766630.88716061533260.5564196923337
1250.4198507536199220.8397015072398440.580149246380078
1260.7108990707603860.5782018584792280.289100929239614
1270.9110509062137780.1778981875724430.0889490937862215
1280.902091648840930.1958167023181390.0979083511590696
1290.8726270705170850.2547458589658310.127372929482915
1300.878457679672420.2430846406551590.12154232032758
1310.8370578979696870.3258842040606250.162942102030313
1320.7918734359396860.4162531281206290.208126564060314
1330.736764848778770.526470302442460.26323515122123
1340.6660016008361240.6679967983277530.333998399163876
1350.6488862596942570.7022274806114870.351113740305743
1360.6524734915288360.6950530169423280.347526508471164
1370.6348561731720460.7302876536559080.365143826827954
1380.5680782649447340.8638434701105320.431921735055266
1390.4991124729675880.9982249459351760.500887527032412
1400.5580026916333740.8839946167332510.441997308366626
1410.5656789536179030.8686420927641950.434321046382097
1420.4599300437145720.9198600874291450.540069956285428
1430.3671411898295090.7342823796590190.63285881017049
1440.2594990562029970.5189981124059940.740500943797003
1450.1946397041177670.3892794082355330.805360295882233


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 level00OK