Multiple Linear Regression - Estimated Regression Equation |
Schoolprestaties[t] = -1.04453113130659 + 0.652082679626868Maand[t] + 0.453369383315178Sport[t] + 0.104010891725617GoingOut[t] -0.139234098376123Relation[t] + 0.267776689802747Family[t] -0.0757161560371348Friends[t] + 0.331523506685491Coach[t] + 0.000805781886864952Job[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | -1.04453113130659 | 6.489602 | -0.161 | 0.87235 | 0.436175 |
Maand | 0.652082679626868 | 0.551476 | 1.1824 | 0.238943 | 0.119472 |
Sport | 0.453369383315178 | 0.176369 | 2.5706 | 0.011147 | 0.005573 |
GoingOut | 0.104010891725617 | 0.144197 | 0.7213 | 0.471864 | 0.235932 |
Relation | -0.139234098376123 | 0.100435 | -1.3863 | 0.167752 | 0.083876 |
Family | 0.267776689802747 | 0.190516 | 1.4055 | 0.161972 | 0.080986 |
Friends | -0.0757161560371348 | 0.138136 | -0.5481 | 0.584435 | 0.292217 |
Coach | 0.331523506685491 | 0.139336 | 2.3793 | 0.018629 | 0.009314 |
Job | 0.000805781886864952 | 0.167764 | 0.0048 | 0.996174 | 0.498087 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.440350188375158 |
R-squared | 0.193908288402037 |
Adjusted R-squared | 0.150039351716434 |
F-TEST (value) | 4.4201729755094 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 147 |
p-value | 8.1667707908073e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.22080695951841 |
Sum Squared Residuals | 1524.91882816088 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 14 | 10.1804868222738 | 3.81951317772617 |
2 | 8 | 11.0324018344569 | -3.03240183445686 |
3 | 12 | 11.4746076605045 | 0.525392339495486 |
4 | 7 | 12.2211044476381 | -5.2211044476381 |
5 | 10 | 12.7260999223278 | -2.7260999223278 |
6 | 9 | 11.2640319245127 | -2.26403192451274 |
7 | 16 | 14.1042007350212 | 1.89579926497882 |
8 | 7 | 9.33499184282526 | -2.33499184282526 |
9 | 14 | 11.8271522807384 | 2.17284771926156 |
10 | 6 | 10.5412352977326 | -4.54123529773263 |
11 | 16 | 11.7835943386048 | 4.21640566139521 |
12 | 11 | 11.1687745274693 | -0.168774527469326 |
13 | 17 | 13.0547644483143 | 3.9452355516857 |
14 | 12 | 11.028985762466 | 0.971014237533989 |
15 | 7 | 12.1814745185977 | -5.18147451859771 |
16 | 13 | 10.6342582289591 | 2.36574177104088 |
17 | 9 | 7.11235204917193 | 1.88764795082807 |
18 | 15 | 13.9689614287976 | 1.03103857120238 |
19 | 7 | 10.1525941099555 | -3.15259410995546 |
20 | 9 | 9.90013390437324 | -0.90013390437324 |
21 | 7 | 8.487185451487 | -1.48718545148701 |
22 | 14 | 13.3891773509784 | 0.610822649021589 |
23 | 15 | 10.3278320745317 | 4.67216792546829 |
24 | 7 | 12.6854237158035 | -5.68542371580348 |
25 | 13 | 11.7835943386048 | 1.21640566139521 |
26 | 17 | 11.7835943386048 | 5.21640566139521 |
27 | 15 | 13.1332931472636 | 1.86670685273645 |
28 | 14 | 8.71248206167174 | 5.28751793832826 |
29 | 14 | 12.5165996009096 | 1.48340039909036 |
30 | 8 | 10.9108835627292 | -2.91088356272921 |
31 | 8 | 8.93261070307999 | -0.93261070307999 |
32 | 12 | 13.6936535389007 | -1.69365353890068 |
33 | 14 | 12.6221194458818 | 1.37788055411819 |
34 | 8 | 12.1275995592264 | -4.12759955922639 |
35 | 11 | 9.90013390437324 | 1.09986609562676 |
36 | 16 | 11.2793742305223 | 4.72062576947768 |
37 | 11 | 12.6189989288615 | -1.61899892886153 |
38 | 8 | 10.8410583396022 | -2.84105833960215 |
39 | 14 | 11.8556994801317 | 2.1443005198683 |
40 | 16 | 9.71618147804493 | 6.28381852195507 |
41 | 14 | 11.3387147586945 | 2.66128524130551 |
42 | 5 | 10.7536944202975 | -5.7536944202975 |
43 | 8 | 8.96082103291806 | -0.96082103291806 |
44 | 10 | 9.90130158661067 | 0.0986984133893328 |
45 | 8 | 11.8876052303304 | -3.88760523033041 |
46 | 13 | 12.2864125969637 | 0.713587403036307 |
47 | 15 | 11.0880617860707 | 3.91193821392934 |
48 | 6 | 11.0152563548054 | -5.01525635480539 |
49 | 12 | 9.96647671012946 | 2.03352328987054 |
50 | 14 | 12.3934620245239 | 1.60653797547615 |
51 | 5 | 12.3621212917588 | -7.3621212917588 |
52 | 15 | 12.4253631951019 | 2.57463680489814 |
53 | 11 | 11.5372288314828 | -0.537228831482765 |
54 | 8 | 9.69050055714828 | -1.69050055714828 |
55 | 13 | 10.9612483696273 | 2.03875163037273 |
56 | 14 | 12.4220299175869 | 1.57797008241307 |
57 | 12 | 9.99322474518558 | 2.00677525481442 |
58 | 16 | 12.6698724804373 | 3.33012751956274 |
59 | 10 | 8.67117349542915 | 1.32882650457085 |
60 | 15 | 14.3199432343501 | 0.680056765649929 |
61 | 8 | 9.81609080467497 | -1.81609080467497 |
62 | 16 | 9.22816559137367 | 6.77183440862633 |
63 | 19 | 13.6026051151739 | 5.39739488482611 |
64 | 14 | 11.6002781912176 | 2.39972180878242 |
65 | 7 | 12.6459925876339 | -5.64599258763395 |
66 | 13 | 12.1893115111096 | 0.810688488890368 |
67 | 15 | 11.9232565350481 | 3.07674346495192 |
68 | 7 | 9.50126855311474 | -2.50126855311474 |
69 | 13 | 13.133459073886 | -0.133459073886002 |
70 | 4 | 9.82100019410663 | -5.82100019410663 |
71 | 14 | 12.0513270761567 | 1.94867292384332 |
72 | 13 | 12.972278921819 | 0.0277210781810197 |
73 | 11 | 9.75136757243306 | 1.24863242756694 |
74 | 14 | 11.7924849832178 | 2.20751501678222 |
75 | 12 | 11.3209164681501 | 0.679083531849933 |
76 | 15 | 13.5543572192685 | 1.44564278073145 |
77 | 14 | 12.1901172929965 | 1.8098827070035 |
78 | 13 | 11.5416858389843 | 1.45831416101574 |
79 | 7 | 10.0675813433446 | -3.06758134334463 |
80 | 5 | 8.1411604031692 | -3.14116040316921 |
81 | 7 | 12.2227458453488 | -5.22274584534876 |
82 | 13 | 13.226927598518 | -0.226927598518041 |
83 | 13 | 11.6344777273673 | 1.36552227263266 |
84 | 11 | 12.8216523916316 | -1.82165239163158 |
85 | 6 | 8.90279942567376 | -2.90279942567376 |
86 | 12 | 13.2710816084884 | -1.27108160848839 |
87 | 8 | 9.85999156486385 | -1.85999156486385 |
88 | 11 | 12.0089229487092 | -1.00892294870924 |
89 | 12 | 14.8772415282051 | -2.87724152820512 |
90 | 9 | 10.0908047955611 | -1.09080479556111 |
91 | 12 | 10.9006945955923 | 1.09930540440767 |
92 | 13 | 13.9355932922751 | -0.935593292275092 |
93 | 16 | 13.3790187991212 | 2.62098120087884 |
94 | 16 | 13.5800682865887 | 2.41993171341133 |
95 | 11 | 13.3048778430781 | -2.30487784307809 |
96 | 8 | 10.6345076838134 | -2.63450768381341 |
97 | 4 | 8.28535579987301 | -4.28535579987301 |
98 | 7 | 9.92498355217395 | -2.92498355217395 |
99 | 14 | 11.493141019229 | 2.50685898077098 |
100 | 11 | 11.3844491686762 | -0.384449168676231 |
101 | 17 | 13.2380911557856 | 3.76190884421443 |
102 | 15 | 13.3782130172343 | 1.6217869827657 |
103 | 14 | 13.0278366183867 | 0.972163381613345 |
104 | 5 | 12.0188069619026 | -7.01880696190263 |
105 | 4 | 11.3822437835637 | -7.38224378356371 |
106 | 19 | 12.3324137580109 | 6.66758624198914 |
107 | 11 | 10.0298002257864 | 0.970199774213568 |
108 | 15 | 12.5436338396583 | 2.4563661603417 |
109 | 10 | 9.60806902122374 | 0.391930978776262 |
110 | 9 | 11.2131638692302 | -2.21316386923022 |
111 | 12 | 9.82100019410663 | 2.17899980589337 |
112 | 15 | 12.7067262465319 | 2.29327375346806 |
113 | 7 | 13.2710816084884 | -6.2710816084884 |
114 | 13 | 11.5659503306632 | 1.43404966933682 |
115 | 14 | 13.2307875520452 | 0.769212447954805 |
116 | 14 | 12.4356770182317 | 1.56432298176834 |
117 | 14 | 14.0783685935275 | -0.0783685935275339 |
118 | 8 | 11.1318553155074 | -3.1318553155074 |
119 | 15 | 12.331666126506 | 2.66833387349396 |
120 | 15 | 10.9006945955923 | 4.09930540440767 |
121 | 9 | 9.94119022413175 | -0.94119022413175 |
122 | 16 | 12.1901172929965 | 3.8098827070035 |
123 | 9 | 11.8441650651631 | -2.84416506516309 |
124 | 15 | 13.7954714308264 | 1.20452856917364 |
125 | 15 | 12.4356770182317 | 2.56432298176834 |
126 | 6 | 11.9314569101492 | -5.93145691014919 |
127 | 8 | 13.6966836658832 | -5.69668366588323 |
128 | 15 | 12.4380943638923 | 2.56190563610775 |
129 | 10 | 8.50907496356577 | 1.49092503643422 |
130 | 9 | 10.8995196302796 | -1.89951963027964 |
131 | 14 | 14.2434212964261 | -0.243421296426072 |
132 | 12 | 14.2656521285449 | -2.26565212854487 |
133 | 8 | 10.5326883096491 | -2.53268830964911 |
134 | 11 | 12.0537444218173 | -1.05374442181727 |
135 | 13 | 11.3552047472758 | 1.6447952527242 |
136 | 9 | 11.1075414137309 | -2.10754141373087 |
137 | 15 | 12.8550380415859 | 2.14496195841407 |
138 | 13 | 9.61290371254493 | 3.38709628745507 |
139 | 15 | 12.4356770182317 | 2.56432298176834 |
140 | 14 | 12.1893115111096 | 1.81068848889037 |
141 | 16 | 11.5013413943301 | 4.49865860566987 |
142 | 12 | 12.4356770182317 | -0.435677018231658 |
143 | 14 | 9.65773156868478 | 4.34226843131522 |
144 | 10 | 10.4004201250774 | -0.400420125077369 |
145 | 10 | 9.84043287523322 | 0.159567124766777 |
146 | 4 | 13.2718873903753 | -9.27188739037526 |
147 | 8 | 11.4963641467765 | -3.49636414677648 |
148 | 17 | 13.3797416012747 | 3.62025839872528 |
149 | 16 | 12.2085285501203 | 3.79147144987975 |
150 | 12 | 14.6506609591487 | -2.6506609591487 |
151 | 12 | 11.9656606624955 | 0.034339337504484 |
152 | 15 | 13.3782130172343 | 1.6217869827657 |
153 | 9 | 9.8173414666457 | -0.817341466645702 |
154 | 13 | 13.035935018084 | -0.0359350180840127 |
155 | 14 | 12.0537444218173 | 1.94625557818273 |
156 | 11 | 10.0893520793832 | 0.910647920616754 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
12 | 0.592863525837706 | 0.814272948324587 | 0.407136474162294 |
13 | 0.640668091474518 | 0.718663817050963 | 0.359331908525482 |
14 | 0.710597245334996 | 0.578805509330008 | 0.289402754665004 |
15 | 0.903676220476744 | 0.192647559046512 | 0.096323779523256 |
16 | 0.851798262273018 | 0.296403475453963 | 0.148201737726982 |
17 | 0.849100918642401 | 0.301798162715197 | 0.150899081357599 |
18 | 0.786830344146798 | 0.426339311706405 | 0.213169655853202 |
19 | 0.804855473194669 | 0.390289053610662 | 0.195144526805331 |
20 | 0.743148406980297 | 0.513703186039405 | 0.256851593019703 |
21 | 0.672374159976477 | 0.655251680047045 | 0.327625840023523 |
22 | 0.597505389816729 | 0.804989220366542 | 0.402494610183271 |
23 | 0.685931262161156 | 0.628137475677688 | 0.314068737838844 |
24 | 0.784990788916036 | 0.430018422167927 | 0.215009211083964 |
25 | 0.731500609615917 | 0.536998780768166 | 0.268499390384083 |
26 | 0.787705990550829 | 0.424588018898343 | 0.212294009449171 |
27 | 0.739896075160607 | 0.520207849678786 | 0.260103924839393 |
28 | 0.800647378663638 | 0.398705242672725 | 0.199352621336362 |
29 | 0.791932134888427 | 0.416135730223146 | 0.208067865111573 |
30 | 0.802188011265738 | 0.395623977468525 | 0.197811988734262 |
31 | 0.781226843514931 | 0.437546312970138 | 0.218773156485069 |
32 | 0.735823232345043 | 0.528353535309913 | 0.264176767654957 |
33 | 0.685242186492012 | 0.629515627015977 | 0.314757813507988 |
34 | 0.666794387279107 | 0.666411225441787 | 0.333205612720893 |
35 | 0.611230824650245 | 0.777538350699509 | 0.388769175349755 |
36 | 0.614312648823915 | 0.77137470235217 | 0.385687351176085 |
37 | 0.559952025644423 | 0.880095948711154 | 0.440047974355577 |
38 | 0.551856886991432 | 0.896286226017135 | 0.448143113008568 |
39 | 0.499307467225507 | 0.998614934451014 | 0.500692532774493 |
40 | 0.548125212819109 | 0.903749574361782 | 0.451874787180891 |
41 | 0.60494608943819 | 0.790107821123621 | 0.39505391056181 |
42 | 0.70286787732156 | 0.594264245356879 | 0.297132122678439 |
43 | 0.666987610680696 | 0.666024778638608 | 0.333012389319304 |
44 | 0.616509418730025 | 0.766981162539949 | 0.383490581269975 |
45 | 0.61926362420969 | 0.76147275158062 | 0.38073637579031 |
46 | 0.568307907136087 | 0.863384185727826 | 0.431692092863913 |
47 | 0.547779867735917 | 0.904440264528166 | 0.452220132264083 |
48 | 0.592512460321817 | 0.814975079356365 | 0.407487539678183 |
49 | 0.563486635939866 | 0.873026728120267 | 0.436513364060134 |
50 | 0.53096299047474 | 0.93807401905052 | 0.46903700952526 |
51 | 0.79644356448794 | 0.40711287102412 | 0.20355643551206 |
52 | 0.777802568062923 | 0.444394863874154 | 0.222197431937077 |
53 | 0.74102958466804 | 0.517940830663921 | 0.25897041533196 |
54 | 0.724784954958892 | 0.550430090082216 | 0.275215045041108 |
55 | 0.687446382211235 | 0.62510723557753 | 0.312553617788765 |
56 | 0.646648495354677 | 0.706703009290645 | 0.353351504645323 |
57 | 0.604701991232008 | 0.790596017535984 | 0.395298008767992 |
58 | 0.57566924926208 | 0.848661501475841 | 0.424330750737921 |
59 | 0.539260320613865 | 0.92147935877227 | 0.460739679386135 |
60 | 0.493926099251579 | 0.987852198503159 | 0.50607390074842 |
61 | 0.468168513665524 | 0.936337027331048 | 0.531831486334476 |
62 | 0.632169145085245 | 0.73566170982951 | 0.367830854914755 |
63 | 0.67107905750532 | 0.657841884989361 | 0.328920942494681 |
64 | 0.642269119704697 | 0.715461760590607 | 0.357730880295303 |
65 | 0.773045635704456 | 0.453908728591089 | 0.226954364295544 |
66 | 0.736349016434644 | 0.527301967130711 | 0.263650983565356 |
67 | 0.719102982896383 | 0.561794034207234 | 0.280897017103617 |
68 | 0.770882056473177 | 0.458235887053645 | 0.229117943526823 |
69 | 0.735112126091286 | 0.529775747817427 | 0.264887873908714 |
70 | 0.832891337723916 | 0.334217324552168 | 0.167108662276084 |
71 | 0.80906122380942 | 0.38187755238116 | 0.19093877619058 |
72 | 0.777130006226544 | 0.445739987546912 | 0.222869993773456 |
73 | 0.747253484052469 | 0.505493031895062 | 0.252746515947531 |
74 | 0.722314817126441 | 0.555370365747117 | 0.277685182873559 |
75 | 0.680777438154978 | 0.638445123690044 | 0.319222561845022 |
76 | 0.64488972982829 | 0.71022054034342 | 0.35511027017171 |
77 | 0.610534623770328 | 0.778930752459345 | 0.389465376229672 |
78 | 0.570052396895327 | 0.859895206209347 | 0.429947603104673 |
79 | 0.57357663715191 | 0.852846725696181 | 0.42642336284809 |
80 | 0.585600884581174 | 0.828798230837651 | 0.414399115418826 |
81 | 0.664974770688303 | 0.670050458623394 | 0.335025229311697 |
82 | 0.621594258802956 | 0.756811482394087 | 0.378405741197044 |
83 | 0.580876915340766 | 0.838246169318468 | 0.419123084659234 |
84 | 0.559438670746709 | 0.881122658506581 | 0.440561329253291 |
85 | 0.548214588112129 | 0.903570823775743 | 0.451785411887871 |
86 | 0.507358890343347 | 0.985282219313305 | 0.492641109656653 |
87 | 0.473084801089614 | 0.946169602179228 | 0.526915198910386 |
88 | 0.431391704176695 | 0.86278340835339 | 0.568608295823305 |
89 | 0.416939796028494 | 0.833879592056988 | 0.583060203971506 |
90 | 0.377537431785181 | 0.755074863570363 | 0.622462568214819 |
91 | 0.336298543460958 | 0.672597086921916 | 0.663701456539042 |
92 | 0.29680453331121 | 0.593609066622421 | 0.70319546668879 |
93 | 0.277722929277889 | 0.555445858555777 | 0.722277070722111 |
94 | 0.253073341867398 | 0.506146683734797 | 0.746926658132602 |
95 | 0.231092135530498 | 0.462184271060995 | 0.768907864469502 |
96 | 0.216297380777143 | 0.432594761554285 | 0.783702619222857 |
97 | 0.246193399854439 | 0.492386799708878 | 0.753806600145561 |
98 | 0.240957798447936 | 0.481915596895873 | 0.759042201552064 |
99 | 0.221899600354449 | 0.443799200708899 | 0.77810039964555 |
100 | 0.188194493328449 | 0.376388986656899 | 0.81180550667155 |
101 | 0.202296863795995 | 0.404593727591989 | 0.797703136204005 |
102 | 0.176105700897465 | 0.352211401794931 | 0.823894299102535 |
103 | 0.149293491910623 | 0.298586983821246 | 0.850706508089377 |
104 | 0.262495088832436 | 0.524990177664872 | 0.737504911167564 |
105 | 0.487983019906553 | 0.975966039813107 | 0.512016980093447 |
106 | 0.654820567945791 | 0.690358864108418 | 0.345179432054209 |
107 | 0.607077931680675 | 0.78584413663865 | 0.392922068319325 |
108 | 0.576593720639717 | 0.846812558720567 | 0.423406279360283 |
109 | 0.526544220877567 | 0.946911558244866 | 0.473455779122433 |
110 | 0.50089310291296 | 0.998213794174081 | 0.49910689708704 |
111 | 0.456964546790771 | 0.913929093581542 | 0.543035453209229 |
112 | 0.425588906888591 | 0.851177813777182 | 0.574411093111409 |
113 | 0.547614446488924 | 0.904771107022152 | 0.452385553511076 |
114 | 0.499566549485227 | 0.999133098970454 | 0.500433450514773 |
115 | 0.495111063234961 | 0.990222126469921 | 0.504888936765039 |
116 | 0.450065957474637 | 0.900131914949274 | 0.549934042525363 |
117 | 0.394351397919141 | 0.788702795838281 | 0.605648602080859 |
118 | 0.394635070800726 | 0.789270141601452 | 0.605364929199274 |
119 | 0.373800009462034 | 0.747600018924067 | 0.626199990537966 |
120 | 0.391050186087263 | 0.782100372174527 | 0.608949813912737 |
121 | 0.34164843281248 | 0.68329686562496 | 0.65835156718752 |
122 | 0.383105268326881 | 0.766210536653762 | 0.616894731673119 |
123 | 0.38580332449943 | 0.771606648998861 | 0.61419667550057 |
124 | 0.39044987360444 | 0.78089974720888 | 0.60955012639556 |
125 | 0.364636937705325 | 0.72927387541065 | 0.635363062294675 |
126 | 0.659085257651035 | 0.68182948469793 | 0.340914742348965 |
127 | 0.883177179154042 | 0.233645641691917 | 0.116822820845958 |
128 | 0.870800501133946 | 0.258398997732108 | 0.129199498866054 |
129 | 0.834126840790053 | 0.331746318419894 | 0.165873159209947 |
130 | 0.839956778642778 | 0.320086442714444 | 0.160043221357222 |
131 | 0.789684929226735 | 0.42063014154653 | 0.210315070773265 |
132 | 0.736828160128899 | 0.526343679742202 | 0.263171839871101 |
133 | 0.673478565202805 | 0.65304286959439 | 0.326521434797195 |
134 | 0.594991573304089 | 0.810016853391822 | 0.405008426695911 |
135 | 0.573057186103609 | 0.853885627792783 | 0.426942813896391 |
136 | 0.573383885120182 | 0.853232229759637 | 0.426616114879818 |
137 | 0.54999398487246 | 0.900012030255081 | 0.45000601512754 |
138 | 0.476302921535423 | 0.952605843070846 | 0.523697078464577 |
139 | 0.402494305528258 | 0.804988611056516 | 0.597505694471742 |
140 | 0.451501213728812 | 0.903002427457624 | 0.548498786271188 |
141 | 0.448525120819444 | 0.897050241638888 | 0.551474879180556 |
142 | 0.338832302997697 | 0.677664605995394 | 0.661167697002303 |
143 | 0.246766009177171 | 0.493532018354341 | 0.75323399082283 |
144 | 0.152009052566861 | 0.304018105133722 | 0.847990947433139 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |