Multiple Linear Regression - Estimated Regression Equation |
Schoolprestaties[t] = + 5.94451224803447 + 0.431702468220128Sport[t] + 0.096186434920722Goingout[t] -0.134927436537078Relation[t] + 0.260354564152351Family[t] + 0.312539014805456Coach[t] + 0.00558676759994745t + 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) | 5.94451224803447 | 1.099974 | 5.4042 | 0 | 0 |
Sport | 0.431702468220128 | 0.171964 | 2.5104 | 0.013126 | 0.006563 |
Goingout | 0.096186434920722 | 0.142764 | 0.6737 | 0.501516 | 0.250758 |
Relation | -0.134927436537078 | 0.099817 | -1.3518 | 0.178504 | 0.089252 |
Family | 0.260354564152351 | 0.18527 | 1.4053 | 0.162023 | 0.081011 |
Coach | 0.312539014805456 | 0.136615 | 2.2877 | 0.02356 | 0.01178 |
t | 0.00558676759994745 | 0.005743 | 0.9729 | 0.3322 | 0.1661 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.435590747177052 |
R-squared | 0.189739299026262 |
Adjusted R-squared | 0.157111351336045 |
F-TEST (value) | 5.81523854419901 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 149 |
p-value | 1.81317053578045e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.20737979482366 |
Sum Squared Residuals | 1532.80548708822 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 14 | 10.0016337766203 | 3.99836622337973 |
2 | 8 | 11.1388767125367 | -3.1388767125367 |
3 | 12 | 11.6283503990099 | 0.371649600990115 |
4 | 7 | 12.3870676214146 | -5.38706762141464 |
5 | 10 | 12.5787635846554 | -2.57876358465543 |
6 | 9 | 11.3795817459199 | -2.37958174591991 |
7 | 16 | 14.1191854354529 | 1.88081456454709 |
8 | 7 | 9.24654915931306 | -2.24654915931306 |
9 | 14 | 11.9815897942512 | 2.01841020574883 |
10 | 6 | 10.4909357443566 | -4.49093574435662 |
11 | 16 | 11.8010969650034 | 4.19890303499664 |
12 | 11 | 11.0854192680717 | -0.0854192680716782 |
13 | 17 | 13.1523493201452 | 3.8476506798548 |
14 | 12 | 11.2324896708226 | 0.767510329177406 |
15 | 7 | 11.9041294128217 | -4.90412941282168 |
16 | 13 | 10.9649193611691 | 2.03508063883089 |
17 | 9 | 7.10779245191648 | 1.89220754808352 |
18 | 15 | 14.0489490772365 | 0.951050922763542 |
19 | 7 | 10.4537907608281 | -3.4537907608281 |
20 | 9 | 9.91966778227973 | -0.919667782279734 |
21 | 7 | 8.65838514636451 | -1.65838514636451 |
22 | 14 | 13.4534844837753 | 0.546515516224724 |
23 | 15 | 10.2772051010302 | 4.72279489896976 |
24 | 7 | 12.5814593683838 | -5.58145936838377 |
25 | 13 | 11.8793117114026 | 1.12068828859737 |
26 | 17 | 11.8848984790026 | 5.11510152099742 |
27 | 15 | 13.4160866082408 | 1.58391339175924 |
28 | 14 | 8.69546817163409 | 5.30453182836591 |
29 | 14 | 12.6150369661042 | 1.38496303389584 |
30 | 8 | 10.9351268296402 | -2.93512682964019 |
31 | 8 | 9.35604419626825 | -1.35604419626824 |
32 | 12 | 13.5093521597748 | -1.50935215977475 |
33 | 14 | 12.7936744628431 | 1.20632553715694 |
34 | 8 | 12.1212589842499 | -4.12125898424986 |
35 | 11 | 10.0034692962789 | 0.996530703721054 |
36 | 16 | 11.5999891390514 | 4.40001086094862 |
37 | 11 | 12.7559175418245 | -1.75591754182447 |
38 | 8 | 10.9860846446404 | -2.98608464464037 |
39 | 14 | 12.055045030963 | 1.94495496903705 |
40 | 16 | 10.2112486557189 | 5.78875134428107 |
41 | 14 | 11.4319221180817 | 2.56807788191829 |
42 | 5 | 11.0794404488305 | -6.07944044883046 |
43 | 8 | 9.08230839151695 | -1.08230839151695 |
44 | 10 | 10.0655710476859 | -0.0655710476859349 |
45 | 8 | 12.0872334983223 | -4.0872334983223 |
46 | 13 | 12.62626633787 | 0.373733662130041 |
47 | 15 | 11.2766978429679 | 3.72330215703208 |
48 | 6 | 11.1436959243674 | -5.14369592436742 |
49 | 12 | 10.0034955340518 | 1.99650446594824 |
50 | 14 | 12.8285455206238 | 1.17145447937622 |
51 | 5 | 12.5774389737347 | -7.57743897373474 |
52 | 15 | 12.7806595938274 | 2.21934040617261 |
53 | 11 | 11.744523341325 | -0.744523341324969 |
54 | 8 | 9.9172450108365 | -1.9172450108365 |
55 | 13 | 11.1992204557048 | 1.80077954429519 |
56 | 14 | 12.8765122668096 | 1.12348773319044 |
57 | 12 | 9.59848928033694 | 2.40151071966306 |
58 | 16 | 12.4399564250467 | 3.56004357495329 |
59 | 10 | 8.20584162755453 | 1.79415837244547 |
60 | 15 | 14.0065586685239 | 0.993441331476054 |
61 | 8 | 9.37524307815744 | -1.37524307815744 |
62 | 16 | 8.84808170186605 | 7.15191829813395 |
63 | 19 | 13.2137125142286 | 5.78628748577144 |
64 | 14 | 11.3256987853361 | 2.67430121466388 |
65 | 7 | 12.2452724038431 | -5.24527240384314 |
66 | 13 | 11.8171513201243 | 1.18284867987571 |
67 | 15 | 11.4888779209895 | 3.51112207901049 |
68 | 7 | 9.55122994061444 | -2.55122994061444 |
69 | 13 | 12.7997666684857 | 0.200233331514294 |
70 | 4 | 9.58119449841614 | -5.58119449841614 |
71 | 14 | 11.6983368785795 | 2.30166312142052 |
72 | 13 | 12.4261908022604 | 0.573809197739597 |
73 | 11 | 9.76307229161855 | 1.23692770838145 |
74 | 14 | 11.7683175841172 | 2.23168241588283 |
75 | 12 | 11.1028722851183 | 0.897127714881699 |
76 | 15 | 13.2739329960759 | 1.72606700392414 |
77 | 14 | 11.8786057637237 | 2.12139423627629 |
78 | 13 | 11.1241870651757 | 1.87581293482434 |
79 | 7 | 9.8081175540701 | -2.8081175540701 |
80 | 5 | 8.32316374715342 | -3.32316374715342 |
81 | 7 | 11.8441273152991 | -4.84412731529908 |
82 | 13 | 13.1045112102922 | -0.104511210292163 |
83 | 13 | 11.380632350096 | 1.61936764990404 |
84 | 11 | 12.4932320134598 | -1.49323201345977 |
85 | 6 | 9.00441361590928 | -3.00441361590928 |
86 | 12 | 13.0296691542219 | -1.02966915422189 |
87 | 8 | 10.005421906714 | -2.00542190671405 |
88 | 11 | 11.7671315350988 | -0.76713153509883 |
89 | 12 | 14.7201055180782 | -2.7201055180782 |
90 | 9 | 9.80582962962916 | -0.805829629629156 |
91 | 12 | 10.4961738033162 | 1.50382619668375 |
92 | 13 | 13.7473690893015 | -0.747369089301537 |
93 | 16 | 13.2250669537606 | 2.77493304623937 |
94 | 16 | 13.2024157202154 | 2.79758427978463 |
95 | 11 | 13.0349453868045 | -2.03494538680446 |
96 | 8 | 10.7822282622965 | -2.78222826229647 |
97 | 4 | 8.34500167513553 | -4.34500167513553 |
98 | 7 | 9.69817648420457 | -2.69817648420457 |
99 | 14 | 11.3268774682372 | 2.67312253176284 |
100 | 11 | 11.0396988653398 | -0.0396988653397946 |
101 | 17 | 13.1584753440381 | 3.84152465596194 |
102 | 15 | 13.2753478621602 | 1.72465213783984 |
103 | 14 | 12.8935303319632 | 1.1064696680368 |
104 | 5 | 12.062545730818 | -7.06254573081799 |
105 | 4 | 11.5610199311346 | -7.56101993113457 |
106 | 19 | 12.3883158892888 | 6.6116841107112 |
107 | 11 | 9.84464382752482 | 1.15535617247518 |
108 | 15 | 12.3837064765349 | 2.61629352346509 |
109 | 10 | 9.45103505311348 | 0.548964946886522 |
110 | 9 | 11.058373047344 | -2.05837304734404 |
111 | 12 | 9.81025197001398 | 2.18974802998602 |
112 | 15 | 12.850283363556 | 2.14971663644397 |
113 | 7 | 13.1805118794205 | -6.18051187942047 |
114 | 13 | 11.6474366134148 | 1.35256338658517 |
115 | 14 | 13.2504819509964 | 0.749518049003554 |
116 | 14 | 12.3877075629978 | 1.61229243700215 |
117 | 14 | 13.7557302545537 | 0.244269745446258 |
118 | 8 | 11.3890573289039 | -3.38905732890394 |
119 | 15 | 12.308281430877 | 2.69171856912303 |
120 | 15 | 10.6581900637147 | 4.34180993628528 |
121 | 9 | 9.98428040787879 | -0.984280407878788 |
122 | 16 | 12.1300103057213 | 3.86998969427866 |
123 | 9 | 12.0787715544969 | -3.07877155449687 |
124 | 15 | 13.8148599019777 | 1.1851400980223 |
125 | 15 | 12.4379884713974 | 2.56201152860263 |
126 | 6 | 12.1027982230467 | -6.10279822304665 |
127 | 8 | 13.8037534881961 | -5.80375348819609 |
128 | 15 | 12.4547487741972 | 2.54525122580278 |
129 | 10 | 8.51851725568259 | 1.48148274431741 |
130 | 9 | 10.8815490945808 | -1.88154909458082 |
131 | 14 | 14.4032191681202 | -0.403219168120215 |
132 | 12 | 14.2242775082358 | -2.22427750823584 |
133 | 8 | 10.5530301295392 | -2.55303012953925 |
134 | 11 | 12.0503032373762 | -1.05030323737617 |
135 | 13 | 11.4804244588181 | 1.51957554118192 |
136 | 9 | 11.107442570022 | -2.10744257002195 |
137 | 15 | 12.9298485621363 | 2.07015143786368 |
138 | 13 | 9.61305131351195 | 3.38694868648805 |
139 | 15 | 12.5162032177966 | 2.48379678220336 |
140 | 14 | 12.2305721225204 | 1.7694278774796 |
141 | 16 | 11.8458227210952 | 4.1541772789048 |
142 | 12 | 12.5329635205965 | -0.53296352059648 |
143 | 14 | 10.1357768127568 | 3.86422318724316 |
144 | 10 | 10.3960743847885 | -0.396074384788484 |
145 | 10 | 10.1768442156666 | -0.176844215666628 |
146 | 4 | 13.3648752102187 | -9.36487521021874 |
147 | 8 | 11.5950423130346 | -3.59504231303464 |
148 | 17 | 13.4768457911737 | 3.52315420882634 |
149 | 16 | 12.5720708937961 | 3.42792910620389 |
150 | 12 | 14.8219067673247 | -2.82190676732467 |
151 | 12 | 11.9843467920649 | 0.0156532079351452 |
152 | 15 | 13.5546862421575 | 1.44531375784247 |
153 | 9 | 9.95653992094415 | -0.956539920944155 |
154 | 13 | 13.3373626261409 | -0.337362626140886 |
155 | 14 | 12.1676253569751 | 1.83237464302493 |
156 | 11 | 10.6012796672461 | 0.398720332753864 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.871944229737688 | 0.256111540524623 | 0.128055770262312 |
11 | 0.903968861443027 | 0.192062277113946 | 0.0960311385569732 |
12 | 0.846807913625654 | 0.306384172748693 | 0.153192086374346 |
13 | 0.778736219778779 | 0.442527560442441 | 0.221263780221221 |
14 | 0.685793760005733 | 0.628412479988534 | 0.314206239994267 |
15 | 0.877408186729147 | 0.245183626541707 | 0.122591813270853 |
16 | 0.858526780839711 | 0.282946438320577 | 0.141473219160289 |
17 | 0.833969540869644 | 0.332060918260711 | 0.166030459130356 |
18 | 0.773139354694947 | 0.453721290610106 | 0.226860645305053 |
19 | 0.764724099429791 | 0.470551801140419 | 0.235275900570209 |
20 | 0.701847598939076 | 0.596304802121848 | 0.298152401060924 |
21 | 0.633087431703437 | 0.733825136593125 | 0.366912568296563 |
22 | 0.558216549826176 | 0.883566900347648 | 0.441783450173824 |
23 | 0.610715324755832 | 0.778569350488337 | 0.389284675244168 |
24 | 0.753976478977012 | 0.492047042045976 | 0.246023521022988 |
25 | 0.700694954010175 | 0.598610091979649 | 0.299305045989825 |
26 | 0.749947032677699 | 0.500105934644602 | 0.250052967322301 |
27 | 0.695128632195392 | 0.609742735609217 | 0.304871367804608 |
28 | 0.726244923137709 | 0.547510153724581 | 0.273755076862291 |
29 | 0.671111532685381 | 0.657776934629239 | 0.328888467314619 |
30 | 0.709439152032818 | 0.581121695934365 | 0.290560847967182 |
31 | 0.675654553714105 | 0.648690892571789 | 0.324345446285895 |
32 | 0.653380457695906 | 0.693239084608188 | 0.346619542304094 |
33 | 0.596471067575035 | 0.80705786484993 | 0.403528932424965 |
34 | 0.613599128773807 | 0.772801742452386 | 0.386400871226193 |
35 | 0.555792683665856 | 0.888414632668287 | 0.444207316334144 |
36 | 0.560128000225083 | 0.879743999549835 | 0.439871999774917 |
37 | 0.514518160979582 | 0.970963678040837 | 0.485481839020418 |
38 | 0.528406117694295 | 0.943187764611411 | 0.471593882305705 |
39 | 0.475538300181256 | 0.951076600362512 | 0.524461699818744 |
40 | 0.578323479446476 | 0.843353041107048 | 0.421676520553524 |
41 | 0.56424982630722 | 0.87150034738556 | 0.43575017369278 |
42 | 0.694163211045818 | 0.611673577908363 | 0.305836788954182 |
43 | 0.661125837970607 | 0.677748324058785 | 0.338874162029393 |
44 | 0.610085935381058 | 0.779828129237884 | 0.389914064618942 |
45 | 0.622434267846889 | 0.755131464306222 | 0.377565732153111 |
46 | 0.573923807499423 | 0.852152385001153 | 0.426076192500577 |
47 | 0.549820922275969 | 0.900358155448061 | 0.450179077724031 |
48 | 0.613070862438358 | 0.773858275123284 | 0.386929137561642 |
49 | 0.575805571689353 | 0.848388856621293 | 0.424194428310647 |
50 | 0.55213005961426 | 0.89573988077148 | 0.44786994038574 |
51 | 0.800051363331477 | 0.399897273337045 | 0.199948636668523 |
52 | 0.792858141110334 | 0.414283717779333 | 0.207141858889666 |
53 | 0.75655328700342 | 0.486893425993161 | 0.24344671299658 |
54 | 0.73431792387653 | 0.53136415224694 | 0.26568207612347 |
55 | 0.703410705760036 | 0.593178588479928 | 0.296589294239964 |
56 | 0.66887415983413 | 0.66225168033174 | 0.33112584016587 |
57 | 0.645971250937507 | 0.708057498124986 | 0.354028749062493 |
58 | 0.664852947233402 | 0.670294105533195 | 0.335147052766597 |
59 | 0.628066032604002 | 0.743867934791996 | 0.371933967395998 |
60 | 0.584054150088614 | 0.831891699822771 | 0.415945849911386 |
61 | 0.547569645866866 | 0.904860708266269 | 0.452430354133135 |
62 | 0.715985898851183 | 0.568028202297634 | 0.284014101148817 |
63 | 0.781110675522354 | 0.437778648955292 | 0.218889324477646 |
64 | 0.765861898558055 | 0.46827620288389 | 0.234138101441945 |
65 | 0.829514379703794 | 0.340971240592411 | 0.170485620296206 |
66 | 0.801196131132837 | 0.397607737734325 | 0.198803868867163 |
67 | 0.800623814408112 | 0.398752371183775 | 0.199376185591888 |
68 | 0.794205139624724 | 0.411589720750551 | 0.205794860375276 |
69 | 0.760064309881156 | 0.479871380237688 | 0.239935690118844 |
70 | 0.833311062214265 | 0.33337787557147 | 0.166688937785735 |
71 | 0.81652724552684 | 0.366945508946319 | 0.18347275447316 |
72 | 0.783521910909934 | 0.432956178180133 | 0.216478089090066 |
73 | 0.752992568337879 | 0.494014863324243 | 0.247007431662121 |
74 | 0.731026366994649 | 0.537947266010703 | 0.268973633005351 |
75 | 0.693225936599539 | 0.613548126800923 | 0.306774063400461 |
76 | 0.663595720184824 | 0.672808559630351 | 0.336404279815176 |
77 | 0.641846287246675 | 0.71630742550665 | 0.358153712753325 |
78 | 0.621233945492266 | 0.757532109015468 | 0.378766054507734 |
79 | 0.613971988431604 | 0.772056023136792 | 0.386028011568396 |
80 | 0.615630262097253 | 0.768739475805495 | 0.384369737902747 |
81 | 0.668887567949309 | 0.662224864101382 | 0.331112432050691 |
82 | 0.62546034304369 | 0.74907931391262 | 0.37453965695631 |
83 | 0.592992470530014 | 0.814015058939972 | 0.407007529469986 |
84 | 0.556994275937144 | 0.886011448125712 | 0.443005724062856 |
85 | 0.546514587016101 | 0.906970825967798 | 0.453485412983899 |
86 | 0.503584573509256 | 0.992830852981487 | 0.496415426490744 |
87 | 0.473724192570916 | 0.947448385141832 | 0.526275807429084 |
88 | 0.428751941937346 | 0.857503883874692 | 0.571248058062654 |
89 | 0.409647833389402 | 0.819295666778803 | 0.590352166610598 |
90 | 0.366206973890827 | 0.732413947781653 | 0.633793026109173 |
91 | 0.333951431497258 | 0.667902862994516 | 0.666048568502742 |
92 | 0.293030761499851 | 0.586061522999703 | 0.706969238500149 |
93 | 0.281135441559711 | 0.562270883119421 | 0.718864558440289 |
94 | 0.269320876508738 | 0.538641753017476 | 0.730679123491262 |
95 | 0.241336346578011 | 0.482672693156021 | 0.758663653421989 |
96 | 0.229520818899461 | 0.459041637798922 | 0.770479181100539 |
97 | 0.265172035462937 | 0.530344070925874 | 0.734827964537063 |
98 | 0.256458895917361 | 0.512917791834722 | 0.743541104082639 |
99 | 0.239316843608377 | 0.478633687216753 | 0.760683156391623 |
100 | 0.2026606007828 | 0.405321201565599 | 0.7973393992172 |
101 | 0.220078657586401 | 0.440157315172802 | 0.779921342413599 |
102 | 0.19631095296033 | 0.39262190592066 | 0.80368904703967 |
103 | 0.170981319168841 | 0.341962638337681 | 0.829018680831159 |
104 | 0.297958505970955 | 0.59591701194191 | 0.702041494029045 |
105 | 0.534335104009994 | 0.931329791980013 | 0.465664895990007 |
106 | 0.705784144284097 | 0.588431711431805 | 0.294215855715903 |
107 | 0.662417374756191 | 0.675165250487618 | 0.337582625243809 |
108 | 0.639699062803529 | 0.720601874392941 | 0.360300937196471 |
109 | 0.592538660328637 | 0.814922679342726 | 0.407461339671363 |
110 | 0.565542573694584 | 0.868914852610832 | 0.434457426305416 |
111 | 0.523189007480276 | 0.953621985039447 | 0.476810992519724 |
112 | 0.491858992893349 | 0.983717985786699 | 0.508141007106651 |
113 | 0.614385041507377 | 0.771229916985245 | 0.385614958492623 |
114 | 0.566896578572251 | 0.866206842855498 | 0.433103421427749 |
115 | 0.557123892004736 | 0.885752215990529 | 0.442876107995264 |
116 | 0.517068919902836 | 0.965862160194328 | 0.482931080097164 |
117 | 0.460335694538798 | 0.920671389077596 | 0.539664305461202 |
118 | 0.471554649527336 | 0.943109299054672 | 0.528445350472664 |
119 | 0.450940246841036 | 0.901880493682072 | 0.549059753158964 |
120 | 0.48717216172385 | 0.9743443234477 | 0.51282783827615 |
121 | 0.431007827347919 | 0.862015654695838 | 0.568992172652081 |
122 | 0.507030796819696 | 0.985938406360608 | 0.492969203180304 |
123 | 0.46692530745937 | 0.93385061491874 | 0.53307469254063 |
124 | 0.504233219676984 | 0.991533560646032 | 0.495766780323016 |
125 | 0.536468240557138 | 0.927063518885724 | 0.463531759442862 |
126 | 0.730476071439539 | 0.539047857120922 | 0.269523928560461 |
127 | 0.911792067475109 | 0.176415865049782 | 0.088207932524891 |
128 | 0.906229539090883 | 0.187540921818234 | 0.0937704609091172 |
129 | 0.880982647937296 | 0.238034704125408 | 0.119017352062704 |
130 | 0.875512262442587 | 0.248975475114825 | 0.124487737557413 |
131 | 0.846221744533973 | 0.307556510932055 | 0.153778255466027 |
132 | 0.802716276121666 | 0.394567447756668 | 0.197283723878334 |
133 | 0.749287028053855 | 0.501425943892289 | 0.250712971946145 |
134 | 0.690654664406075 | 0.618690671187849 | 0.309345335593925 |
135 | 0.660582541641103 | 0.678834916717794 | 0.339417458358897 |
136 | 0.615268524557915 | 0.76946295088417 | 0.384731475442085 |
137 | 0.595219224293432 | 0.809561551413136 | 0.404780775706568 |
138 | 0.515608012846699 | 0.968783974306602 | 0.484391987153301 |
139 | 0.492012370326467 | 0.984024740652935 | 0.507987629673533 |
140 | 0.828336413563186 | 0.343327172873629 | 0.171663586436814 |
141 | 0.784196704830995 | 0.431606590338009 | 0.215803295169005 |
142 | 0.715113204115294 | 0.569773591769411 | 0.284886795884706 |
143 | 0.680117310142223 | 0.639765379715555 | 0.319882689857777 |
144 | 0.571328200327857 | 0.857343599344287 | 0.428671799672143 |
145 | 0.426728201056062 | 0.853456402112125 | 0.573271798943938 |
146 | 0.388652545922247 | 0.777305091844495 | 0.611347454077753 |
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 |