Multiple Linear Regression - Estimated Regression Equation |
Member[t] = + 1.30267905579266 + 0.0638572513593550Provison[t] + 0.0593542522425081Mother[t] + 0.00438665208409937Father[t] + 0.0498968809279368Illness[t] -0.0440151152769835Tobacco[t] -0.130198915314923Gender[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) | 1.30267905579266 | 0.275443 | 4.7294 | 5e-06 | 3e-06 |
Provison | 0.0638572513593550 | 0.028267 | 2.2591 | 0.025319 | 0.01266 |
Mother | 0.0593542522425081 | 0.053809 | 1.1031 | 0.271768 | 0.135884 |
Father | 0.00438665208409937 | 0.049651 | 0.0883 | 0.929717 | 0.464858 |
Illness | 0.0498968809279368 | 0.117561 | 0.4244 | 0.671858 | 0.335929 |
Tobacco | -0.0440151152769835 | 0.042108 | -1.0453 | 0.297569 | 0.148784 |
Gender | -0.130198915314923 | 0.082834 | -1.5718 | 0.118105 | 0.059052 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.284268140970020 |
R-squared | 0.0808083759705509 |
Adjusted R-squared | 0.0440407110093729 |
F-TEST (value) | 2.19781093131354 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 150 |
p-value | 0.0462273521497196 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.487546698306195 |
Sum Squared Residuals | 35.6552674543908 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 1.62512997157864 | 0.374870028421361 |
2 | 1 | 1.37425977422996 | -0.374259774229960 |
3 | 1 | 1.64052491751606 | -0.64052491751606 |
4 | 1 | 1.57863044370548 | -0.578630443705482 |
5 | 2 | 1.49054440417966 | 0.509455595820344 |
6 | 2 | 1.43119015193715 | 0.568809848062853 |
7 | 1 | 1.33209108946901 | -0.332091089469008 |
8 | 2 | 1.67491050547387 | 0.325089494526134 |
9 | 1 | 1.62524631861143 | -0.625246318611425 |
10 | 2 | 1.43119015193715 | 0.568809848062852 |
11 | 1 | 1.08773091594576 | -0.0877309159457599 |
12 | 2 | 1.56138906725207 | 0.43861093274793 |
13 | 1 | 1.60678294906316 | -0.60678294906316 |
14 | 2 | 1.74395482309644 | 0.256045176903559 |
15 | 2 | 1.70882935902040 | 0.291170640979595 |
16 | 2 | 1.55434111747812 | 0.445658882521878 |
17 | 1 | 1.29897265010159 | -0.29897265010159 |
18 | 1 | 1.62524631861143 | -0.625246318611425 |
19 | 1 | 1.38965944925638 | -0.389659449256376 |
20 | 2 | 1.40701717274254 | 0.592982827257464 |
21 | 2 | 1.63401962277962 | 0.365980377220376 |
22 | 1 | 1.43119015193715 | -0.431190151937147 |
23 | 2 | 1.74834147518054 | 0.251658524819459 |
24 | 2 | 1.42600308567393 | 0.573996914326072 |
25 | 2 | 1.55826483466933 | 0.441735165330671 |
26 | 2 | 1.49753181589271 | 0.502468184107285 |
27 | 2 | 1.61128594818001 | 0.388714051819993 |
28 | 2 | 1.54494428422444 | 0.455055715775560 |
29 | 1 | 1.67242609287765 | -0.672426092877654 |
30 | 1 | 1.36733290057779 | -0.367332900577792 |
31 | 2 | 1.63401962277962 | 0.365980377220376 |
32 | 1 | 1.49504740329650 | -0.495047403296503 |
33 | 2 | 1.57016237142027 | 0.429837628579731 |
34 | 2 | 1.74395482309644 | 0.256045176903559 |
35 | 2 | 1.36733290057779 | 0.632667099422208 |
36 | 1 | 1.62524631861143 | -0.625246318611425 |
37 | 2 | 1.56767795882406 | 0.432322041175943 |
38 | 1 | 1.62951662366278 | -0.629516623662777 |
39 | 1 | 1.50382070746470 | -0.503820707464702 |
40 | 2 | 1.67514319953936 | 0.324856800460638 |
41 | 1 | 1.41278259136074 | -0.412782591360741 |
42 | 2 | 1.75723112638149 | 0.242768873618513 |
43 | 2 | 1.68898722293803 | 0.311012777061967 |
44 | 1 | 1.17143030338749 | -0.171430303387487 |
45 | 1 | 1.45351670061573 | -0.453516700615731 |
46 | 2 | 1.58550150838579 | 0.414498491614207 |
47 | 2 | 1.61555625323136 | 0.384443746768642 |
48 | 1 | 1.30347564921844 | -0.303475649218437 |
49 | 2 | 1.63608245646010 | 0.363917543539897 |
50 | 2 | 1.43119015193715 | 0.568809848062852 |
51 | 1 | 1.37171955266189 | -0.371719552661892 |
52 | 1 | 1.56138906725207 | -0.56138906725207 |
53 | 2 | 1.36970096614126 | 0.630299033858743 |
54 | 2 | 1.41971419410194 | 0.580285805898058 |
55 | 2 | 1.43095745787165 | 0.569042542128348 |
56 | 1 | 1.51725760494234 | -0.517257604942339 |
57 | 1 | 1.43095745787165 | -0.430957457871652 |
58 | 1 | 1.55890465465586 | -0.558904654655858 |
59 | 1 | 1.36981731317400 | -0.369817313174005 |
60 | 1 | 1.57222520510075 | -0.572225205100748 |
61 | 1 | 1.23961839785908 | -0.239618397859082 |
62 | 2 | 1.51737395197509 | 0.482626048024913 |
63 | 2 | 1.36738870954965 | 0.632611290450348 |
64 | 2 | 1.49943405538060 | 0.500565944619398 |
65 | 2 | 1.62524631861143 | 0.374753681388575 |
66 | 1 | 1.68898722293803 | -0.688987222938033 |
67 | 2 | 1.70871301198766 | 0.291286988012343 |
68 | 2 | 1.53721608805746 | 0.462783911942542 |
69 | 1 | 1.50382070746470 | -0.503820707464702 |
70 | 1 | 1.56127272021932 | -0.561272720219322 |
71 | 1 | 1.4310738049044 | -0.4310738049044 |
72 | 2 | 1.68887087590528 | 0.311129124094715 |
73 | 1 | 1.69337387502213 | -0.693373875022132 |
74 | 1 | 1.62524631861143 | -0.625246318611425 |
75 | 1 | 1.68199981122497 | -0.681999811224973 |
76 | 1 | 1.69337387502213 | -0.693373875022132 |
77 | 2 | 1.68391650370756 | 0.316083496292439 |
78 | 1 | 1.58561785541854 | -0.585617855418541 |
79 | 2 | 1.49302881677587 | 0.506971183224132 |
80 | 2 | 1.62951662366278 | 0.370483376337223 |
81 | 2 | 1.69337387502213 | 0.306626124977868 |
82 | 2 | 1.4354604569885 | 0.564539543011501 |
83 | 1 | 1.68887087590528 | -0.688870875905285 |
84 | 2 | 1.74834147518054 | 0.251658524819459 |
85 | 2 | 1.68898722293803 | 0.311012777061967 |
86 | 1 | 1.31224895338664 | -0.312248953386636 |
87 | 2 | 1.64935875974515 | 0.350641240254851 |
88 | 2 | 1.56138906725207 | 0.43861093274793 |
89 | 1 | 1.49504740329650 | -0.495047403296503 |
90 | 1 | 1.36733290057779 | -0.367332900577792 |
91 | 2 | 1.61825890689837 | 0.381741093101634 |
92 | 2 | 1.62512997157868 | 0.374870028421322 |
93 | 2 | 1.64497210766105 | 0.355027892338951 |
94 | 1 | 1.55878830762311 | -0.55878830762311 |
95 | 2 | 1.51731341391420 | 0.482686586085802 |
96 | 1 | 1.73900045089872 | -0.739000450898717 |
97 | 2 | 1.69337387502213 | 0.306626124977868 |
98 | 1 | 1.55878830762311 | -0.55878830762311 |
99 | 1 | 1.70871301198766 | -0.708713011987657 |
100 | 2 | 1.62524631861143 | 0.374753681388575 |
101 | 2 | 1.28178708262004 | 0.718212917379962 |
102 | 1 | 1.36733290057779 | -0.367332900577792 |
103 | 2 | 1.49481470923101 | 0.505185290768993 |
104 | 2 | 1.69337387502213 | 0.306626124977868 |
105 | 1 | 1.60084064535132 | -0.600840645351318 |
106 | 1 | 1.74395482309644 | -0.743954823096441 |
107 | 1 | 1.62963297069552 | -0.629632970695525 |
108 | 1 | 1.28951527878702 | -0.289515278787019 |
109 | 2 | 1.75284447429739 | 0.247155525702612 |
110 | 1 | 1.18014779858383 | -0.180147798583826 |
111 | 1 | 1.49753181589271 | -0.497531815892715 |
112 | 1 | 1.19987358763345 | -0.19987358763345 |
113 | 1 | 1.64497210766105 | -0.644972107661049 |
114 | 2 | 1.55694187710708 | 0.443058122892918 |
115 | 1 | 1.56132852919118 | -0.561328529191182 |
116 | 2 | 1.75284447429739 | 0.247155525702612 |
117 | 1 | 1.63401962277962 | -0.634019622779624 |
118 | 2 | 1.49753181589271 | 0.502468184107285 |
119 | 2 | 1.62501362454593 | 0.374986375454070 |
120 | 1 | 1.49320097278047 | -0.493200972780475 |
121 | 1 | 1.72999445266502 | -0.729994452665023 |
122 | 2 | 1.68910356997078 | 0.310896430029219 |
123 | 2 | 1.36733290057779 | 0.632667099422208 |
124 | 1 | 1.56127272021932 | -0.561272720219322 |
125 | 2 | 1.47075807706914 | 0.529241922930857 |
126 | 2 | 1.67761315914087 | 0.322386840859126 |
127 | 2 | 1.43119015193715 | 0.568809848062852 |
128 | 2 | 1.61814255986562 | 0.381857440134382 |
129 | 1 | 1.47663984272010 | -0.476639842720097 |
130 | 2 | 1.62068278143369 | 0.379317218566310 |
131 | 2 | 1.62951662366278 | 0.370483376337223 |
132 | 2 | 1.64508845469380 | 0.354911545306203 |
133 | 2 | 1.49481470923101 | 0.505185290768993 |
134 | 1 | 1.64058545557695 | -0.64058545557695 |
135 | 1 | 1.75272812726464 | -0.75272812726464 |
136 | 2 | 1.66481424374342 | 0.335185756256579 |
137 | 2 | 1.57851409667273 | 0.421485903327266 |
138 | 2 | 1.70871301198766 | 0.291286988012343 |
139 | 2 | 1.56577571933617 | 0.434224280663831 |
140 | 1 | 1.49054440417966 | -0.490544404179655 |
141 | 2 | 1.38717503666016 | 0.612824963339836 |
142 | 2 | 1.69337387502213 | 0.306626124977868 |
143 | 2 | 1.74983658874739 | 0.250163411252605 |
144 | 1 | 1.70375863978993 | -0.703758639789933 |
145 | 1 | 1.37171955266189 | -0.371719552661892 |
146 | 2 | 1.55878830762311 | 0.44121169237689 |
147 | 2 | 1.51477319234613 | 0.485226807653873 |
148 | 2 | 1.68910356997078 | 0.310896430029219 |
149 | 1 | 1.58123120333444 | -0.581231203334442 |
150 | 2 | 1.69349022205488 | 0.30650977794512 |
151 | 2 | 1.55181534890475 | 0.448184651095249 |
152 | 2 | 1.62963297069552 | 0.370367029304475 |
153 | 1 | 1.49481470923101 | -0.494814709231007 |
154 | 1 | 1.36733290057779 | -0.367332900577792 |
155 | 2 | 1.80781207445580 | 0.192187925544203 |
156 | 1 | 1.50191846797681 | -0.501918467976814 |
157 | 2 | 1.85770895538373 | 0.142291044616267 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.351630915580457 | 0.703261831160915 | 0.648369084419543 |
11 | 0.667088203752405 | 0.665823592495191 | 0.332911796247595 |
12 | 0.588323414294063 | 0.823353171411874 | 0.411676585705937 |
13 | 0.573124331670336 | 0.853751336659328 | 0.426875668329664 |
14 | 0.490169402994510 | 0.980338805989021 | 0.509830597005489 |
15 | 0.475960665836679 | 0.951921331673357 | 0.524039334163321 |
16 | 0.539373722708847 | 0.921252554582305 | 0.460626277291153 |
17 | 0.649874798262385 | 0.70025040347523 | 0.350125201737615 |
18 | 0.66662688034639 | 0.66674623930722 | 0.33337311965361 |
19 | 0.59102810373895 | 0.8179437925221 | 0.40897189626105 |
20 | 0.66406633449884 | 0.67186733100232 | 0.33593366550116 |
21 | 0.624671051490684 | 0.750657897018633 | 0.375328948509316 |
22 | 0.653401586276698 | 0.693196827446604 | 0.346598413723302 |
23 | 0.583419337818924 | 0.833161324362152 | 0.416580662181076 |
24 | 0.560462030486562 | 0.879075939026876 | 0.439537969513438 |
25 | 0.569627452211614 | 0.86074509557677 | 0.430372547788385 |
26 | 0.596224663834491 | 0.807550672331017 | 0.403775336165509 |
27 | 0.553956290668399 | 0.892087418663203 | 0.446043709331601 |
28 | 0.500252078369269 | 0.999495843261462 | 0.499747921630731 |
29 | 0.671092649632264 | 0.657814700735473 | 0.328907350367736 |
30 | 0.66078941668471 | 0.678421166630581 | 0.339210583315290 |
31 | 0.62439427854767 | 0.751211442904661 | 0.375605721452330 |
32 | 0.642317758341667 | 0.715364483316666 | 0.357682241658333 |
33 | 0.610983120417559 | 0.778033759164883 | 0.389016879582441 |
34 | 0.561436549816651 | 0.877126900366698 | 0.438563450183349 |
35 | 0.581207957782957 | 0.837584084434086 | 0.418792042217043 |
36 | 0.627312656568812 | 0.745374686862376 | 0.372687343431188 |
37 | 0.594064735542047 | 0.811870528915907 | 0.405935264457953 |
38 | 0.64569447246298 | 0.70861105507404 | 0.35430552753702 |
39 | 0.659753597424577 | 0.680492805150846 | 0.340246402575423 |
40 | 0.620601627532865 | 0.75879674493427 | 0.379398372467135 |
41 | 0.597102592985815 | 0.80579481402837 | 0.402897407014185 |
42 | 0.552782313587032 | 0.894435372825936 | 0.447217686412968 |
43 | 0.514406597751034 | 0.971186804497932 | 0.485593402248966 |
44 | 0.464719465736288 | 0.929438931472576 | 0.535280534263712 |
45 | 0.451320640393705 | 0.90264128078741 | 0.548679359606295 |
46 | 0.43807337797666 | 0.87614675595332 | 0.56192662202334 |
47 | 0.408888222787713 | 0.817776445575425 | 0.591111777212287 |
48 | 0.3804051792315 | 0.760810358463 | 0.6195948207685 |
49 | 0.356450020193845 | 0.71290004038769 | 0.643549979806155 |
50 | 0.366161506386994 | 0.732323012773989 | 0.633838493613006 |
51 | 0.350111642436867 | 0.700223284873735 | 0.649888357563133 |
52 | 0.370255133425064 | 0.740510266850129 | 0.629744866574936 |
53 | 0.389681924342969 | 0.779363848685938 | 0.610318075657031 |
54 | 0.405932510737418 | 0.811865021474837 | 0.594067489262582 |
55 | 0.399486554624722 | 0.798973109249445 | 0.600513445375278 |
56 | 0.409840967365237 | 0.819681934730475 | 0.590159032634763 |
57 | 0.423164606736036 | 0.846329213472071 | 0.576835393263964 |
58 | 0.439024637296977 | 0.878049274593954 | 0.560975362703023 |
59 | 0.420866574884276 | 0.841733149768552 | 0.579133425115724 |
60 | 0.437164512593189 | 0.874329025186379 | 0.56283548740681 |
61 | 0.400938157026348 | 0.801876314052695 | 0.599061842973652 |
62 | 0.406292295805872 | 0.812584591611743 | 0.593707704194128 |
63 | 0.454179684248324 | 0.908359368496648 | 0.545820315751676 |
64 | 0.452301907667636 | 0.904603815335271 | 0.547698092332364 |
65 | 0.429561965242208 | 0.859123930484416 | 0.570438034757792 |
66 | 0.480352003255016 | 0.960704006510032 | 0.519647996744984 |
67 | 0.44833774947198 | 0.89667549894396 | 0.55166225052802 |
68 | 0.442410653429994 | 0.884821306859988 | 0.557589346570006 |
69 | 0.446573769445521 | 0.893147538891042 | 0.553426230554479 |
70 | 0.459852618056318 | 0.919705236112636 | 0.540147381943682 |
71 | 0.445874725611738 | 0.891749451223476 | 0.554125274388262 |
72 | 0.418252343058283 | 0.836504686116567 | 0.581747656941717 |
73 | 0.463601609539741 | 0.927203219079481 | 0.536398390460259 |
74 | 0.49430832809617 | 0.98861665619234 | 0.50569167190383 |
75 | 0.53450211036311 | 0.93099577927378 | 0.46549788963689 |
76 | 0.577248001425121 | 0.845503997149758 | 0.422751998574879 |
77 | 0.564725090505617 | 0.870549818988766 | 0.435274909494383 |
78 | 0.584443485420642 | 0.831113029158717 | 0.415556514579358 |
79 | 0.58998616340297 | 0.82002767319406 | 0.41001383659703 |
80 | 0.57331594909913 | 0.85336810180174 | 0.42668405090087 |
81 | 0.546529248727802 | 0.906941502544396 | 0.453470751272198 |
82 | 0.564933702748998 | 0.870132594502004 | 0.435066297251002 |
83 | 0.603980836510656 | 0.792038326978687 | 0.396019163489344 |
84 | 0.570531137478424 | 0.858937725043152 | 0.429468862521576 |
85 | 0.542543862703831 | 0.914912274592339 | 0.457456137296169 |
86 | 0.511360082875296 | 0.977279834249408 | 0.488639917124704 |
87 | 0.488476204930675 | 0.97695240986135 | 0.511523795069325 |
88 | 0.478670764306747 | 0.957341528613494 | 0.521329235693253 |
89 | 0.485377484539569 | 0.970754969079137 | 0.514622515460431 |
90 | 0.467575155728404 | 0.935150311456808 | 0.532424844271596 |
91 | 0.443210131088626 | 0.886420262177252 | 0.556789868911374 |
92 | 0.425528513053673 | 0.851057026107346 | 0.574471486946327 |
93 | 0.402200131839554 | 0.804400263679109 | 0.597799868160446 |
94 | 0.427101555396667 | 0.854203110793335 | 0.572898444603333 |
95 | 0.423192332361766 | 0.846384664723533 | 0.576807667638234 |
96 | 0.471205796825365 | 0.94241159365073 | 0.528794203174635 |
97 | 0.443214794061769 | 0.886429588123537 | 0.556785205938231 |
98 | 0.479809799006938 | 0.959619598013876 | 0.520190200993062 |
99 | 0.525931280861563 | 0.948137438276874 | 0.474068719138437 |
100 | 0.503057235843078 | 0.993885528313845 | 0.496942764156922 |
101 | 0.638761922302039 | 0.722476155395922 | 0.361238077697961 |
102 | 0.626901198755876 | 0.746197602488247 | 0.373098801244124 |
103 | 0.621092314518802 | 0.757815370962396 | 0.378907685481198 |
104 | 0.58990669697468 | 0.82018660605064 | 0.41009330302532 |
105 | 0.592191887011184 | 0.815616225977632 | 0.407808112988816 |
106 | 0.660480614378083 | 0.679038771243834 | 0.339519385621917 |
107 | 0.6984372869975 | 0.6031254260050 | 0.3015627130025 |
108 | 0.660408087222984 | 0.679183825554033 | 0.339591912777016 |
109 | 0.617722754673507 | 0.764554490652986 | 0.382277245326493 |
110 | 0.568900430015262 | 0.862199139969475 | 0.431099569984737 |
111 | 0.55840405935264 | 0.883191881294721 | 0.441595940647361 |
112 | 0.507800101637922 | 0.984399796724157 | 0.492199898362078 |
113 | 0.55418228271155 | 0.891635434576901 | 0.445817717288451 |
114 | 0.559116894600178 | 0.881766210799644 | 0.440883105399822 |
115 | 0.558770803369088 | 0.882458393261823 | 0.441229196630912 |
116 | 0.5092438033214 | 0.9815123933572 | 0.4907561966786 |
117 | 0.581698150882282 | 0.836603698235436 | 0.418301849117718 |
118 | 0.610462364402659 | 0.779075271194682 | 0.389537635597341 |
119 | 0.612692281411021 | 0.774615437177959 | 0.387307718588979 |
120 | 0.604053696123234 | 0.791892607753532 | 0.395946303876766 |
121 | 0.607267194059167 | 0.785465611881665 | 0.392732805940833 |
122 | 0.556321110631315 | 0.887357778737371 | 0.443678889368685 |
123 | 0.591889394545756 | 0.816221210908487 | 0.408110605454244 |
124 | 0.582806045495914 | 0.834387909008172 | 0.417193954504086 |
125 | 0.564027457552535 | 0.87194508489493 | 0.435972542447465 |
126 | 0.508785835610543 | 0.982428328778914 | 0.491214164389457 |
127 | 0.516053620152634 | 0.967892759694733 | 0.483946379847366 |
128 | 0.466354381297476 | 0.932708762594952 | 0.533645618702524 |
129 | 0.474338875747611 | 0.948677751495222 | 0.525661124252389 |
130 | 0.425293766667273 | 0.850587533334546 | 0.574706233332727 |
131 | 0.40364003044998 | 0.80728006089996 | 0.59635996955002 |
132 | 0.354728841514421 | 0.709457683028843 | 0.645271158485579 |
133 | 0.372532743193274 | 0.745065486386548 | 0.627467256806726 |
134 | 0.43601892592237 | 0.87203785184474 | 0.56398107407763 |
135 | 0.560192129589606 | 0.879615740820787 | 0.439807870410394 |
136 | 0.485706402485618 | 0.971412804971235 | 0.514293597514382 |
137 | 0.434456130519983 | 0.868912261039966 | 0.565543869480017 |
138 | 0.374705365801195 | 0.74941073160239 | 0.625294634198805 |
139 | 0.366304833189277 | 0.732609666378553 | 0.633695166810723 |
140 | 0.413124393395239 | 0.826248786790479 | 0.586875606604761 |
141 | 0.510637152257131 | 0.978725695485738 | 0.489362847742869 |
142 | 0.454502555567542 | 0.909005111135085 | 0.545497444432458 |
143 | 0.418284463878569 | 0.836568927757138 | 0.581715536121431 |
144 | 0.80604160814567 | 0.38791678370866 | 0.19395839185433 |
145 | 0.747359635401971 | 0.505280729196057 | 0.252640364598029 |
146 | 0.612691150831759 | 0.774617698336483 | 0.387308849168241 |
147 | 0.753980376230438 | 0.492039247539123 | 0.246019623769562 |
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 |