Multiple Linear Regression - Estimated Regression Equation |
Maand[t] = + 11.3752266077558 + 0.0144484586575041Schoolprestaties[t] -0.0113967864571243Sport[t] -0.0298161733859221GoingOut[t] + 0.00363707178475142Relation[t] + 0.0378445126296983Family[t] + 0.0022994087612922Friends[t] -0.0248645523957983Coach[t] + 0.0301112591737673Job[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) | 11.3752266077558 | 0.230388 | 49.3742 | 0 | 0 |
Schoolprestaties | 0.0144484586575041 | 0.012219 | 1.1824 | 0.238943 | 0.119472 |
Sport | -0.0113967864571243 | 0.02682 | -0.4249 | 0.671508 | 0.335754 |
GoingOut | -0.0298161733859221 | 0.021361 | -1.3958 | 0.164875 | 0.082437 |
Relation | 0.00363707178475142 | 0.015045 | 0.2418 | 0.809308 | 0.404654 |
Family | 0.0378445126296983 | 0.028378 | 1.3336 | 0.184398 | 0.092199 |
Friends | 0.0022994087612922 | 0.020582 | 0.1117 | 0.911199 | 0.455599 |
Coach | -0.0248645523957983 | 0.021037 | -1.182 | 0.239127 | 0.119563 |
Job | 0.0301112591737673 | 0.024848 | 1.2118 | 0.227535 | 0.113768 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.242396673375646 |
R-squared | 0.0587561472635794 |
Adjusted R-squared | 0.00753199201261767 |
F-TEST (value) | 1.1470398482067 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 147 |
p-value | 0.335506684638227 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.479428804610458 |
Sum Squared Residuals | 33.7882408674613 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 11.6216409906169 | -0.621640990616871 |
2 | 11 | 11.6969904635764 | -0.696990463576375 |
3 | 11 | 11.7130891146588 | -0.71308911465883 |
4 | 11 | 11.5406458988621 | -0.540645898862118 |
5 | 11 | 11.5172587337156 | -0.517258733715609 |
6 | 11 | 11.7891018592725 | -0.789101859272514 |
7 | 11 | 11.6142391413794 | -0.614239141379449 |
8 | 11 | 11.5551509399542 | -0.555150939954179 |
9 | 11 | 11.5701082353018 | -0.57010823530183 |
10 | 11 | 11.7005842422157 | -0.700584242215719 |
11 | 11 | 11.6532903869398 | -0.653290386939841 |
12 | 11 | 11.686105813481 | -0.686105813481022 |
13 | 11 | 11.4849382025013 | -0.484938202501271 |
14 | 11 | 11.5802353608596 | -0.580235360859618 |
15 | 11 | 11.2858803311803 | -0.285880331180268 |
16 | 11 | 11.5500513275704 | -0.550051327570409 |
17 | 11 | 11.7544646030253 | -0.754464603025274 |
18 | 11 | 11.5302952798317 | -0.53029527983172 |
19 | 11 | 11.5022741267071 | -0.502274126707138 |
20 | 11 | 11.5967442144635 | -0.596744214463518 |
21 | 11 | 11.6543347946442 | -0.654334794644174 |
22 | 11 | 11.5824791049439 | -0.582479104943901 |
23 | 11 | 11.6159349570931 | -0.61593495709315 |
24 | 11 | 11.3015599795857 | -0.301559979585743 |
25 | 11 | 11.6099450109673 | -0.609945010967329 |
26 | 11 | 11.6677388455973 | -0.667738845597345 |
27 | 11 | 11.745060676966 | -0.745060676966014 |
28 | 11 | 11.6386182550757 | -0.638618255075679 |
29 | 11 | 11.6926097306498 | -0.692609730649781 |
30 | 11 | 11.5296860095058 | -0.529686009505843 |
31 | 11 | 11.5809999772952 | -0.580999977295244 |
32 | 11 | 11.6046070709313 | -0.604607070931258 |
33 | 11 | 11.6620243831214 | -0.662024383121419 |
34 | 11 | 11.3838860707903 | -0.383886070790334 |
35 | 11 | 11.6256411317785 | -0.625641131778526 |
36 | 11 | 11.6929785458428 | -0.692978545842758 |
37 | 11 | 11.5592256629438 | -0.559225662943812 |
38 | 11 | 11.5298879775691 | -0.529887977569143 |
39 | 11 | 11.7851051510166 | -0.785105151016608 |
40 | 11 | 11.5937204851491 | -0.593720485149112 |
41 | 11 | 11.6670240860153 | -0.667024086015321 |
42 | 11 | 11.749987090019 | -0.749987090019045 |
43 | 11 | 11.6949260523904 | -0.694926052390418 |
44 | 11 | 11.6980798641726 | -0.698079864172597 |
45 | 11 | 11.5078865442939 | -0.507886544293886 |
46 | 11 | 11.5421655494892 | -0.542165549489209 |
47 | 11 | 11.7005627769238 | -0.700562776923764 |
48 | 11 | 11.5277488506827 | -0.52774885068272 |
49 | 11 | 11.5236583462898 | -0.523658346289826 |
50 | 11 | 11.6696917835477 | -0.669691783547736 |
51 | 11 | 11.5390283780636 | -0.539028378063589 |
52 | 11 | 11.6954157437753 | -0.695415743775309 |
53 | 11 | 11.5550479946179 | -0.555047994617898 |
54 | 11 | 11.5817055842303 | -0.581705584230323 |
55 | 11 | 11.594298008358 | -0.594298008357966 |
56 | 11 | 11.5418811270109 | -0.541881127010905 |
57 | 12 | 11.6210800319315 | 0.378919968068459 |
58 | 12 | 11.7823339577058 | 0.217666042294226 |
59 | 12 | 11.7461194887685 | 0.253880511231471 |
60 | 12 | 11.6243601493299 | 0.375639850670102 |
61 | 12 | 11.454626150576 | 0.54537384942403 |
62 | 12 | 11.890445871206 | 0.109554128793964 |
63 | 12 | 11.649948779808 | 0.350051220191954 |
64 | 12 | 11.8203227998375 | 0.179677200162534 |
65 | 12 | 11.5284574304055 | 0.471542569594499 |
66 | 12 | 11.5839449119329 | 0.416055088067093 |
67 | 12 | 11.6538609563776 | 0.346139043622418 |
68 | 12 | 11.6846796147537 | 0.31532038524631 |
69 | 12 | 11.6519821703911 | 0.348017829608894 |
70 | 12 | 11.5957330224683 | 0.404266977531734 |
71 | 12 | 11.6054770288449 | 0.394522971155111 |
72 | 12 | 11.5582957620984 | 0.441704237901579 |
73 | 12 | 11.8038061039425 | 0.196193896057462 |
74 | 12 | 11.7505563894524 | 0.249443610547602 |
75 | 12 | 11.6779224719959 | 0.322077528004083 |
76 | 12 | 11.8796339023925 | 0.120366097607466 |
77 | 12 | 11.6285046297642 | 0.371495370235822 |
78 | 12 | 11.7531573076817 | 0.24684269231826 |
79 | 12 | 11.8317647611291 | 0.168235238870933 |
80 | 12 | 11.6899730568101 | 0.310026943189946 |
81 | 12 | 11.3839858992718 | 0.616014100728164 |
82 | 12 | 11.6444277711804 | 0.355572228819612 |
83 | 12 | 11.6801820045573 | 0.319817995442694 |
84 | 12 | 11.5641089214798 | 0.435891078520236 |
85 | 12 | 11.7023907312777 | 0.297609268722331 |
86 | 12 | 11.5736741216013 | 0.426325878398684 |
87 | 12 | 11.6230188014227 | 0.376981198577294 |
88 | 12 | 11.799382209547 | 0.200617790453011 |
89 | 12 | 11.6232424180962 | 0.376757581903812 |
90 | 12 | 11.7692754823912 | 0.23072451760883 |
91 | 12 | 11.6101645667114 | 0.389835433288648 |
92 | 12 | 11.5765467912349 | 0.423453208765053 |
93 | 12 | 11.6912163862243 | 0.308783613775727 |
94 | 12 | 11.5138753938823 | 0.486124606117673 |
95 | 12 | 11.5027333341056 | 0.497266665894427 |
96 | 12 | 11.6405210908049 | 0.359478909195107 |
97 | 12 | 11.6775639847617 | 0.322436015238348 |
98 | 12 | 11.639160033417 | 0.360839966582953 |
99 | 12 | 11.6165787295142 | 0.383421270485832 |
100 | 12 | 12.0053518924987 | -0.00535189249868441 |
101 | 12 | 11.7325200029008 | 0.267479997099158 |
102 | 12 | 11.646656668393 | 0.353343331606999 |
103 | 12 | 11.636024284087 | 0.363975715913002 |
104 | 12 | 11.3666791434878 | 0.633320856512167 |
105 | 12 | 11.8010840355434 | 0.198915964456621 |
106 | 12 | 11.8915638166822 | 0.10843618331776 |
107 | 12 | 11.6972489538349 | 0.302751046165091 |
108 | 12 | 11.7766191264794 | 0.223380873520632 |
109 | 12 | 11.5431554146628 | 0.456844585337178 |
110 | 12 | 11.5523797539386 | 0.44762024606141 |
111 | 12 | 11.7113206917283 | 0.288679308271701 |
112 | 12 | 11.8003363528452 | 0.199663647154804 |
113 | 12 | 11.5014318283138 | 0.498568171686205 |
114 | 12 | 11.7983650478 | 0.201634952200035 |
115 | 12 | 11.8067604944806 | 0.193239505519375 |
116 | 12 | 11.6243934696248 | 0.375606530375168 |
117 | 12 | 11.7005663673363 | 0.299433632663725 |
118 | 12 | 11.8039285198203 | 0.196071480179729 |
119 | 12 | 11.6686581016683 | 0.331341898331741 |
120 | 12 | 11.6535099426839 | 0.346490057316136 |
121 | 12 | 11.6601430532571 | 0.339856946742911 |
122 | 12 | 11.6574015470792 | 0.342598452920814 |
123 | 12 | 11.4243798603933 | 0.575620139606695 |
124 | 12 | 11.6624101257428 | 0.337589874257212 |
125 | 12 | 11.6388419282823 | 0.361158071717663 |
126 | 12 | 11.5484939592677 | 0.451506040732283 |
127 | 12 | 11.7322292382167 | 0.26777076178333 |
128 | 12 | 11.7291757058036 | 0.270824294196361 |
129 | 12 | 11.8108652387319 | 0.189134761268069 |
130 | 12 | 11.5816057557488 | 0.418394244251179 |
131 | 12 | 11.5820998402599 | 0.417900159740081 |
132 | 12 | 11.4990804644139 | 0.500919535586079 |
133 | 12 | 11.8695440418436 | 0.130455958156374 |
134 | 12 | 11.6524654303937 | 0.347534569606321 |
135 | 12 | 11.7237484178208 | 0.276251582179226 |
136 | 12 | 11.521973408977 | 0.478026591023023 |
137 | 12 | 11.7362841911175 | 0.263715808882484 |
138 | 12 | 11.7671683456779 | 0.232831654322061 |
139 | 12 | 11.6388419282823 | 0.361158071717663 |
140 | 12 | 11.5983933705904 | 0.401606629409589 |
141 | 12 | 11.6701447776368 | 0.329855222363151 |
142 | 12 | 11.5954965523098 | 0.404503447690176 |
143 | 12 | 11.8025541041815 | 0.197445895818468 |
144 | 12 | 11.6039416433696 | 0.396058356630394 |
145 | 12 | 11.8820083633855 | 0.117991636614544 |
146 | 12 | 11.4881977115151 | 0.51180228848495 |
147 | 12 | 11.6503330142642 | 0.349666985735787 |
148 | 12 | 11.7528131797697 | 0.24718682023034 |
149 | 12 | 11.6601886132237 | 0.339811386776283 |
150 | 12 | 11.5260389617878 | 0.47396103821218 |
151 | 12 | 11.3732650237305 | 0.626734976269543 |
152 | 12 | 11.646656668393 | 0.353343331606999 |
153 | 12 | 11.5389247245709 | 0.461075275429067 |
154 | 12 | 11.7172327981031 | 0.282767201896938 |
155 | 12 | 11.6958108063662 | 0.304189193633809 |
156 | 12 | 11.5554170081351 | 0.444582991864865 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
12 | 1.48928703722835e-44 | 2.97857407445671e-44 | 1 |
13 | 1.05179216207328e-62 | 2.10358432414657e-62 | 1 |
14 | 4.7883826995958e-72 | 9.57676539919159e-72 | 1 |
15 | 2.02415758330557e-86 | 4.04831516661114e-86 | 1 |
16 | 0 | 0 | 1 |
17 | 4.26725007845233e-116 | 8.53450015690466e-116 | 1 |
18 | 8.62665224698528e-144 | 1.72533044939706e-143 | 1 |
19 | 6.32665132153327e-147 | 1.26533026430665e-146 | 1 |
20 | 8.34701842377719e-167 | 1.66940368475544e-166 | 1 |
21 | 8.65254325606669e-183 | 1.73050865121334e-182 | 1 |
22 | 3.67874634613034e-187 | 7.35749269226067e-187 | 1 |
23 | 5.30604299137937e-207 | 1.06120859827587e-206 | 1 |
24 | 1.1067279250178e-230 | 2.21345585003559e-230 | 1 |
25 | 3.14921565100337e-227 | 6.29843130200673e-227 | 1 |
26 | 2.44615497785553e-246 | 4.89230995571105e-246 | 1 |
27 | 2.57934074446996e-263 | 5.15868148893992e-263 | 1 |
28 | 5.25394843441852e-271 | 1.0507896868837e-270 | 1 |
29 | 6.73830964279213e-297 | 1.34766192855843e-296 | 1 |
30 | 5.09555034717875e-300 | 1.01911006943575e-299 | 1 |
31 | 4.81086541324997e-319 | 9.62173082649994e-319 | 1 |
32 | 0 | 0 | 1 |
33 | 0 | 0 | 1 |
34 | 0 | 0 | 1 |
35 | 0 | 0 | 1 |
36 | 0 | 0 | 1 |
37 | 0 | 0 | 1 |
38 | 0 | 0 | 1 |
39 | 0 | 0 | 1 |
40 | 0 | 0 | 1 |
41 | 0 | 0 | 1 |
42 | 0 | 0 | 1 |
43 | 0 | 0 | 1 |
44 | 0 | 0 | 1 |
45 | 0 | 0 | 1 |
46 | 0 | 0 | 1 |
47 | 0 | 0 | 1 |
48 | 0 | 0 | 1 |
49 | 0 | 0 | 1 |
50 | 0 | 0 | 1 |
51 | 0 | 0 | 1 |
52 | 0 | 0 | 1 |
53 | 0 | 0 | 1 |
54 | 0 | 0 | 1 |
55 | 0 | 0 | 1 |
56 | 1 | 8.18662974575767e-16 | 4.09331487287884e-16 |
57 | 1 | 0 | 0 |
58 | 1 | 0 | 0 |
59 | 1 | 0 | 0 |
60 | 1 | 0 | 0 |
61 | 1 | 0 | 0 |
62 | 1 | 0 | 0 |
63 | 1 | 0 | 0 |
64 | 1 | 0 | 0 |
65 | 1 | 0 | 0 |
66 | 1 | 0 | 0 |
67 | 1 | 0 | 0 |
68 | 1 | 0 | 0 |
69 | 1 | 0 | 0 |
70 | 1 | 0 | 0 |
71 | 1 | 0 | 0 |
72 | 1 | 0 | 0 |
73 | 1 | 0 | 0 |
74 | 1 | 0 | 0 |
75 | 1 | 0 | 0 |
76 | 1 | 0 | 0 |
77 | 1 | 0 | 0 |
78 | 1 | 0 | 0 |
79 | 1 | 0 | 0 |
80 | 1 | 0 | 0 |
81 | 1 | 0 | 0 |
82 | 1 | 0 | 0 |
83 | 1 | 0 | 0 |
84 | 1 | 0 | 0 |
85 | 1 | 0 | 0 |
86 | 1 | 0 | 0 |
87 | 1 | 0 | 0 |
88 | 1 | 0 | 0 |
89 | 1 | 0 | 0 |
90 | 1 | 0 | 0 |
91 | 1 | 0 | 0 |
92 | 1 | 0 | 0 |
93 | 1 | 0 | 0 |
94 | 1 | 0 | 0 |
95 | 1 | 0 | 0 |
96 | 1 | 0 | 0 |
97 | 1 | 0 | 0 |
98 | 1 | 0 | 0 |
99 | 1 | 0 | 0 |
100 | 1 | 0 | 0 |
101 | 1 | 0 | 0 |
102 | 1 | 0 | 0 |
103 | 1 | 0 | 0 |
104 | 1 | 0 | 0 |
105 | 1 | 0 | 0 |
106 | 1 | 0 | 0 |
107 | 1 | 0 | 0 |
108 | 1 | 0 | 0 |
109 | 1 | 0 | 0 |
110 | 1 | 0 | 0 |
111 | 1 | 0 | 0 |
112 | 1 | 0 | 0 |
113 | 1 | 0 | 0 |
114 | 1 | 0 | 0 |
115 | 1 | 0 | 0 |
116 | 1 | 0 | 0 |
117 | 1 | 0 | 0 |
118 | 1 | 0 | 0 |
119 | 1 | 0 | 0 |
120 | 1 | 0 | 0 |
121 | 1 | 0 | 0 |
122 | 1 | 0 | 0 |
123 | 1 | 0 | 0 |
124 | 1 | 0 | 0 |
125 | 1 | 4.8356176278036e-315 | 2.4178088139018e-315 |
126 | 1 | 1.94121890990191e-303 | 9.70609454950957e-304 |
127 | 1 | 1.78633429683948e-286 | 8.93167148419742e-287 |
128 | 1 | 1.15975330917604e-273 | 5.79876654588021e-274 |
129 | 1 | 1.62102466285694e-263 | 8.10512331428471e-264 |
130 | 1 | 4.85601407599612e-274 | 2.42800703799806e-274 |
131 | 1 | 3.1831571265729e-227 | 1.59157856328645e-227 |
132 | 1 | 4.11511447321153e-219 | 2.05755723660576e-219 |
133 | 1 | 7.58819086383129e-204 | 3.79409543191565e-204 |
134 | 1 | 9.50572188569446e-200 | 4.75286094284723e-200 |
135 | 1 | 6.75543085508079e-176 | 3.3777154275404e-176 |
136 | 1 | 3.20395222563093e-166 | 1.60197611281546e-166 |
137 | 1 | 1.81178034900209e-147 | 9.05890174501047e-148 |
138 | 1 | 1.85427033545015e-134 | 9.27135167725076e-135 |
139 | 1 | 1.13712511753525e-116 | 5.68562558767623e-117 |
140 | 1 | 0 | 0 |
141 | 1 | 1.45328568522856e-87 | 7.26642842614278e-88 |
142 | 1 | 2.10989107329196e-74 | 1.05494553664598e-74 |
143 | 1 | 1.35534772468937e-59 | 6.77673862344683e-60 |
144 | 1 | 1.38222665680177e-46 | 6.91113328400886e-47 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 133 | 1 | NOK |
5% type I error level | 133 | 1 | NOK |
10% type I error level | 133 | 1 | NOK |