Multiple Linear Regression - Estimated Regression Equation |
Member[t] = + 1.30465081631826 + 0.0640015744751596Provison[t] + 0.0595463954201537Mother[t] + 0.00440396071597927Father[t] + 0.0496845934749124Illness[t] -0.0440791315888167Tobacco[t] -0.130315178168314Gender[t] -3.27464775207176e-05t + 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) | 1.30465081631826 | 0.2814 | 4.6363 | 8e-06 | 4e-06 |
Provison | 0.0640015744751596 | 0.028625 | 2.2358 | 0.026849 | 0.013425 |
Mother | 0.0595463954201537 | 0.054235 | 1.0979 | 0.274006 | 0.137003 |
Father | 0.00440396071597927 | 0.049819 | 0.0884 | 0.929679 | 0.464839 |
Illness | 0.0496845934749124 | 0.118093 | 0.4207 | 0.674561 | 0.337281 |
Tobacco | -0.0440791315888167 | 0.042284 | -1.0425 | 0.298887 | 0.149444 |
Gender | -0.130315178168314 | 0.08317 | -1.5668 | 0.119271 | 0.059636 |
t | -3.27464775207176e-05 | 0.00088 | -0.0372 | 0.97037 | 0.485185 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.284283161782614 |
R-squared | 0.0808169160731198 |
Adjusted R-squared | 0.0376338181705147 |
F-TEST (value) | 1.87149417245131 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 149 |
p-value | 0.0780617191575274 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.489177752690995 |
Sum Squared Residuals | 35.654936185444 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 1.62781693820654 | 0.372183061793461 |
2 | 1 | 1.37640278778327 | -0.37640278778327 |
3 | 1 | 1.64338842398272 | -0.64338842398272 |
4 | 1 | 1.58132753796720 | -0.581327537967204 |
5 | 2 | 1.4929668134122 | 0.507033186587799 |
6 | 2 | 1.43338767151453 | 0.566612328485474 |
7 | 1 | 1.33408214040499 | -0.334082140404989 |
8 | 2 | 1.67722108799982 | 0.322778912000182 |
9 | 1 | 1.62760618472544 | -0.627606184725438 |
10 | 2 | 1.43325668560444 | 0.566743314395556 |
11 | 1 | 1.08905937804865 | -0.0890593780486509 |
12 | 2 | 1.56350637081772 | 0.436493629182283 |
13 | 1 | 1.6087030387601 | -0.608703038760102 |
14 | 2 | 1.74653524317814 | 0.253464756821858 |
15 | 2 | 1.71128250488279 | 0.28871749511721 |
16 | 2 | 1.55672667319545 | 0.443273326804545 |
17 | 1 | 1.30056913225647 | -0.300569132256473 |
18 | 1 | 1.62731146642775 | -0.627311466427752 |
19 | 1 | 1.39119486493594 | -0.391194864935936 |
20 | 2 | 1.40877253212676 | 0.591227467873237 |
21 | 2 | 1.63602114842715 | 0.363978851572851 |
22 | 1 | 1.43286372787420 | -0.432863727874195 |
23 | 2 | 1.75064448559643 | 0.249355514403565 |
24 | 2 | 1.42728917535086 | 0.572710824649135 |
25 | 2 | 1.55977577038603 | 0.440224229613969 |
26 | 2 | 1.49904634565727 | 0.500953654342733 |
27 | 2 | 1.61269976712982 | 0.387300232870182 |
28 | 2 | 1.54635341695914 | 0.453646583040857 |
29 | 1 | 1.67422138275389 | -0.674221382753888 |
30 | 1 | 1.36860018157887 | -0.36860018157887 |
31 | 2 | 1.63569368365194 | 0.364306316348059 |
32 | 1 | 1.49653783757415 | -0.496537837574148 |
33 | 2 | 1.57162661622174 | 0.42837338377826 |
34 | 2 | 1.74588031362773 | 0.254119686372272 |
35 | 2 | 1.36843644919127 | 0.631563550808734 |
36 | 1 | 1.62672202983238 | -0.626722029832379 |
37 | 2 | 1.56918360109366 | 0.430816398906337 |
38 | 1 | 1.63100927925429 | -0.63100927925429 |
39 | 1 | 1.50511653366346 | -0.505116533663461 |
40 | 2 | 1.67627563739721 | 0.323724362602791 |
41 | 1 | 1.41363909964590 | -0.413639099645897 |
42 | 2 | 1.75888144229453 | 0.241118557705473 |
43 | 2 | 1.69044316062587 | 0.309556839374133 |
44 | 1 | 1.17190276165197 | -0.17190276165197 |
45 | 1 | 1.45434503099556 | -0.454345030995557 |
46 | 2 | 1.58666817584531 | 0.413331824154692 |
47 | 2 | 1.61639757995636 | 0.383602420043644 |
48 | 1 | 1.30400917050834 | -0.304009170508337 |
49 | 2 | 1.63730841040094 | 0.362691589599059 |
50 | 2 | 1.43194682650362 | 0.568053173496385 |
51 | 1 | 1.37231646626691 | -0.372316466266914 |
52 | 1 | 1.56219651171689 | -0.562196511716888 |
53 | 2 | 1.37010782347486 | 0.629892176525139 |
54 | 2 | 1.41981088881128 | 0.58018911118872 |
55 | 2 | 1.43168065743796 | 0.568319342562042 |
56 | 1 | 1.51793517587896 | -0.517935175878962 |
57 | 1 | 1.43161516448292 | -0.431615164482916 |
58 | 1 | 1.55968800363377 | -0.559688003633769 |
59 | 1 | 1.36996256294876 | -0.369962562948764 |
60 | 1 | 1.57294662467305 | -0.572946624673053 |
61 | 1 | 1.23958189182541 | -0.239581891825408 |
62 | 2 | 1.51778991535286 | 0.482210084647136 |
63 | 2 | 1.36768926272054 | 0.632310737279465 |
64 | 2 | 1.49989391100946 | 0.500106088990536 |
65 | 2 | 1.62577238198428 | 0.374227618015722 |
66 | 1 | 1.68968999164289 | -0.68968999164289 |
67 | 2 | 1.70952846971269 | 0.290471530287314 |
68 | 2 | 1.53751587937408 | 0.462484120625917 |
69 | 1 | 1.50413413933784 | -0.50413413933784 |
70 | 1 | 1.56155585678249 | -0.561555856782488 |
71 | 1 | 1.43120793213665 | -0.431207932136653 |
72 | 2 | 1.68944229443874 | 0.310557705561261 |
73 | 1 | 1.69386472701623 | -0.693864727016225 |
74 | 1 | 1.62547766368659 | -0.625477663686592 |
75 | 1 | 1.68262806507220 | -0.682628065072203 |
76 | 1 | 1.69376648758366 | -0.693766487583663 |
77 | 2 | 1.6838719391609 | 0.316128060839099 |
78 | 1 | 1.58567150690367 | -0.585671506903672 |
79 | 2 | 1.49285560329366 | 0.507144396706337 |
80 | 2 | 1.62963392719842 | 0.37036607280158 |
81 | 2 | 1.69360275519606 | 0.306397244803941 |
82 | 2 | 1.43525168159990 | 0.564748318400095 |
83 | 1 | 1.68908208318601 | -0.689082083186011 |
84 | 2 | 1.74864695046767 | 0.251353049532329 |
85 | 2 | 1.68906780857000 | 0.310932191430003 |
86 | 1 | 1.31157272579451 | -0.311572725794508 |
87 | 2 | 1.64932714474212 | 0.350672855257882 |
88 | 2 | 1.56101763852614 | 0.438982361473858 |
89 | 1 | 1.49467128835547 | -0.494671288355467 |
90 | 1 | 1.36663539292763 | -0.366635392927627 |
91 | 2 | 1.61815376529574 | 0.381846234704261 |
92 | 2 | 1.62483700875219 | 0.375162991247808 |
93 | 2 | 1.64472670516101 | 0.355273294838986 |
94 | 1 | 1.55845791210400 | -0.558457912103996 |
95 | 2 | 1.51682777815550 | 0.483172221844497 |
96 | 1 | 1.73844340913121 | -0.738443409131208 |
97 | 2 | 1.69307881155573 | 0.306921188444273 |
98 | 1 | 1.55832692619391 | -0.558326926193913 |
99 | 1 | 1.70848058243202 | -0.708480582432023 |
100 | 2 | 1.62462625527105 | 0.375373744728947 |
101 | 2 | 1.28042894771526 | 0.71957105228474 |
102 | 1 | 1.36624243519738 | -0.366242435197378 |
103 | 2 | 1.49411040099212 | 0.505889599007877 |
104 | 2 | 1.69284958621308 | 0.307150413786918 |
105 | 1 | 1.60020339750292 | -0.600203397502922 |
106 | 1 | 1.74352256724624 | -0.743522567246236 |
107 | 1 | 1.62880099064439 | -0.628800990644388 |
108 | 1 | 1.28772740085685 | -0.287727400856847 |
109 | 2 | 1.75228346758466 | 0.247716532415341 |
110 | 1 | 1.17837970066771 | -0.178379700667712 |
111 | 1 | 1.49626289506801 | -0.496262895068006 |
112 | 1 | 1.19818543225999 | -0.198185432259987 |
113 | 1 | 1.6440717756106 | -0.6440717756106 |
114 | 2 | 1.55588076595545 | 0.444119234044554 |
115 | 1 | 1.56025198019390 | -0.560251980193905 |
116 | 2 | 1.75205424224201 | 0.247945757757986 |
117 | 1 | 1.63287748658516 | -0.63287748658516 |
118 | 2 | 1.49603366972536 | 0.503966330274639 |
119 | 2 | 1.62390163552011 | 0.376098364479894 |
120 | 1 | 1.49173393095419 | -0.491733930954189 |
121 | 1 | 1.72871438908318 | -0.728714389083178 |
122 | 2 | 1.68790740724076 | 0.312092592759243 |
123 | 2 | 1.36555475916944 | 0.634445240830557 |
124 | 1 | 1.55978754699637 | -0.559787546996369 |
125 | 2 | 1.46928450812322 | 0.530715491876779 |
126 | 2 | 1.67655403400267 | 0.323445965997333 |
127 | 2 | 1.42942534773452 | 0.57057465226548 |
128 | 2 | 1.61689092728845 | 0.383109072711555 |
129 | 1 | 1.47475898409923 | -0.474758984099234 |
130 | 2 | 1.61930717845125 | 0.380692821548753 |
131 | 2 | 1.62796385684486 | 0.372036143155137 |
132 | 2 | 1.64350081087673 | 0.356499189123267 |
133 | 2 | 1.49312800666650 | 0.506871993333498 |
134 | 1 | 1.63898013886669 | -0.638980138866686 |
135 | 1 | 1.75138084083009 | -0.751380840830094 |
136 | 2 | 1.66324104951397 | 0.336758950486033 |
137 | 2 | 1.57692103811792 | 0.423078961882078 |
138 | 2 | 1.70720346980871 | 0.292796530191285 |
139 | 2 | 1.56375152888856 | 0.436248471111435 |
140 | 1 | 1.48854603894690 | -0.488546038946904 |
141 | 2 | 1.38488776546041 | 0.615112234539587 |
142 | 2 | 1.69160522006730 | 0.308394779932705 |
143 | 2 | 1.74791640946407 | 0.252083590535935 |
144 | 1 | 1.70160036805336 | -0.701600368053356 |
145 | 1 | 1.36923829737997 | -0.369238297379966 |
146 | 2 | 1.55675509527292 | 0.443244904727081 |
147 | 2 | 1.51264321720658 | 0.487356782793419 |
148 | 2 | 1.68705599882522 | 0.312944001174781 |
149 | 1 | 1.57894254628372 | -0.578942546283721 |
150 | 2 | 1.69139446658616 | 0.308605533413844 |
151 | 2 | 1.54904159015807 | 0.450958409841931 |
152 | 2 | 1.62732739915596 | 0.372672600844045 |
153 | 1 | 1.49247307711609 | -0.492473077116087 |
154 | 1 | 1.3645396183663 | -0.364539618366301 |
155 | 2 | 1.80591956432288 | 0.194080435677119 |
156 | 1 | 1.49919326429555 | -0.499193264295553 |
157 | 2 | 1.85553866484275 | 0.144461335157248 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.67982530765519 | 0.640349384689621 | 0.320174692344810 |
12 | 0.691855261741494 | 0.616289476517011 | 0.308144738258506 |
13 | 0.682212540612385 | 0.635574918775229 | 0.317787459387615 |
14 | 0.572613111367561 | 0.854773777264877 | 0.427386888632439 |
15 | 0.570178314132812 | 0.859643371734376 | 0.429821685867188 |
16 | 0.54517196585765 | 0.9096560682847 | 0.45482803414235 |
17 | 0.714441184029244 | 0.571117631941512 | 0.285558815970756 |
18 | 0.730873667965302 | 0.538252664069396 | 0.269126332034698 |
19 | 0.657056433730041 | 0.685887132539918 | 0.342943566269959 |
20 | 0.721161054285058 | 0.557677891429884 | 0.278838945714942 |
21 | 0.664594463118519 | 0.670811073762962 | 0.335405536881481 |
22 | 0.707361794436215 | 0.585276411127569 | 0.292638205563785 |
23 | 0.638953603578301 | 0.722092792843398 | 0.361046396421699 |
24 | 0.605138502998064 | 0.789722994003873 | 0.394861497001936 |
25 | 0.592949455709706 | 0.814101088580588 | 0.407050544290294 |
26 | 0.581339129025235 | 0.83732174194953 | 0.418660870974765 |
27 | 0.52940192973465 | 0.9411961405307 | 0.47059807026535 |
28 | 0.475263489867534 | 0.950526979735069 | 0.524736510132465 |
29 | 0.699526468336759 | 0.600947063326482 | 0.300473531663241 |
30 | 0.699986842157624 | 0.600026315684752 | 0.300013157842376 |
31 | 0.659601996640957 | 0.680796006718085 | 0.340398003359043 |
32 | 0.680633043872982 | 0.638733912254037 | 0.319366956127018 |
33 | 0.64842677214371 | 0.70314645571258 | 0.35157322785629 |
34 | 0.597565384684599 | 0.804869230630803 | 0.402434615315401 |
35 | 0.604499786453763 | 0.791000427092474 | 0.395500213546237 |
36 | 0.661231590077965 | 0.67753681984407 | 0.338768409922035 |
37 | 0.627910356868258 | 0.744179286263483 | 0.372089643131741 |
38 | 0.679420160479528 | 0.641159679040944 | 0.320579839520472 |
39 | 0.686492809735902 | 0.627014380528196 | 0.313507190264098 |
40 | 0.651860478652178 | 0.696279042695644 | 0.348139521347822 |
41 | 0.618710574975745 | 0.76257885004851 | 0.381289425024255 |
42 | 0.579954271067465 | 0.84009145786507 | 0.420045728932535 |
43 | 0.547433959075272 | 0.905132081849457 | 0.452566040924728 |
44 | 0.496514681102756 | 0.993029362205513 | 0.503485318897244 |
45 | 0.47455409530917 | 0.94910819061834 | 0.52544590469083 |
46 | 0.468653287753509 | 0.937306575507017 | 0.531346712246491 |
47 | 0.443746952755121 | 0.887493905510242 | 0.556253047244879 |
48 | 0.410349869054726 | 0.820699738109453 | 0.589650130945274 |
49 | 0.39046304450924 | 0.78092608901848 | 0.60953695549076 |
50 | 0.403859991373833 | 0.807719982747666 | 0.596140008626167 |
51 | 0.386048969383153 | 0.772097938766306 | 0.613951030616847 |
52 | 0.399903124799702 | 0.799806249599404 | 0.600096875200298 |
53 | 0.424437834476018 | 0.848875668952035 | 0.575562165523982 |
54 | 0.451360151385384 | 0.902720302770767 | 0.548639848614616 |
55 | 0.453004843798106 | 0.906009687596211 | 0.546995156201894 |
56 | 0.459310509933242 | 0.918621019866483 | 0.540689490066758 |
57 | 0.466743535625579 | 0.933487071251159 | 0.53325646437442 |
58 | 0.466516239416457 | 0.933032478832914 | 0.533483760583543 |
59 | 0.440006420487865 | 0.88001284097573 | 0.559993579512135 |
60 | 0.437557827870450 | 0.875115655740899 | 0.562442172129550 |
61 | 0.395174390106445 | 0.79034878021289 | 0.604825609893555 |
62 | 0.42081854866655 | 0.8416370973331 | 0.57918145133345 |
63 | 0.488074964856136 | 0.976149929712271 | 0.511925035143864 |
64 | 0.496379736625234 | 0.992759473250468 | 0.503620263374766 |
65 | 0.481227004497757 | 0.962454008995515 | 0.518772995502243 |
66 | 0.522062566770266 | 0.955874866459469 | 0.477937433229734 |
67 | 0.496089157809247 | 0.992178315618495 | 0.503910842190753 |
68 | 0.501244635807474 | 0.997510728385052 | 0.498755364192526 |
69 | 0.49905218362282 | 0.99810436724564 | 0.50094781637718 |
70 | 0.502266502760986 | 0.995466994478028 | 0.497733497239014 |
71 | 0.478296787592764 | 0.956593575185528 | 0.521703212407236 |
72 | 0.457790460050803 | 0.915580920101606 | 0.542209539949197 |
73 | 0.48872737454782 | 0.97745474909564 | 0.51127262545218 |
74 | 0.50158476440001 | 0.99683047119998 | 0.49841523559999 |
75 | 0.521465453054906 | 0.957069093890188 | 0.478534546945094 |
76 | 0.548926151943295 | 0.902147696113411 | 0.451073848056705 |
77 | 0.545885343727991 | 0.908229312544018 | 0.454114656272009 |
78 | 0.549102683968762 | 0.901794632062476 | 0.450897316031238 |
79 | 0.570364899869858 | 0.859270200260284 | 0.429635100130142 |
80 | 0.56354937973978 | 0.87290124052044 | 0.43645062026022 |
81 | 0.545517184212283 | 0.908965631575433 | 0.454482815787717 |
82 | 0.580733956550715 | 0.83853208689857 | 0.419266043449285 |
83 | 0.603262975256490 | 0.793474049487019 | 0.396737024743510 |
84 | 0.577462159181818 | 0.845075681636363 | 0.422537840818182 |
85 | 0.559656668913352 | 0.880686662173295 | 0.440343331086648 |
86 | 0.521598579038624 | 0.956802841922752 | 0.478401420961376 |
87 | 0.51064708207809 | 0.97870583584382 | 0.48935291792191 |
88 | 0.516967246527583 | 0.966065506944835 | 0.483032753472417 |
89 | 0.505234837769139 | 0.989530324461722 | 0.494765162230861 |
90 | 0.475278596697704 | 0.950557193395408 | 0.524721403302296 |
91 | 0.463809403627254 | 0.927618807254508 | 0.536190596372746 |
92 | 0.460521231685268 | 0.921042463370537 | 0.539478768314732 |
93 | 0.451756771521707 | 0.903513543043414 | 0.548243228478293 |
94 | 0.451770361467037 | 0.903540722934075 | 0.548229638532963 |
95 | 0.461988632082628 | 0.923977264165256 | 0.538011367917372 |
96 | 0.483788945420964 | 0.967577890841927 | 0.516211054579036 |
97 | 0.470424732355787 | 0.940849464711574 | 0.529575267644213 |
98 | 0.479152161856416 | 0.958304323712831 | 0.520847838143584 |
99 | 0.508214389645377 | 0.983571220709247 | 0.491785610354623 |
100 | 0.49675068328839 | 0.99350136657678 | 0.50324931671161 |
101 | 0.642158056831007 | 0.715683886337986 | 0.357841943168993 |
102 | 0.618117659681928 | 0.763764680636143 | 0.381882340318072 |
103 | 0.623639631413669 | 0.752720737172662 | 0.376360368586331 |
104 | 0.605827093578087 | 0.788345812843826 | 0.394172906421913 |
105 | 0.5978686002026 | 0.804262799594799 | 0.402131399797400 |
106 | 0.644496237514239 | 0.711007524971522 | 0.355503762485761 |
107 | 0.670258329553832 | 0.659483340892336 | 0.329741670446168 |
108 | 0.626248082843601 | 0.747503834312797 | 0.373751917156399 |
109 | 0.585576591345766 | 0.828846817308468 | 0.414423408654234 |
110 | 0.533843734115418 | 0.932312531769164 | 0.466156265884582 |
111 | 0.51644016306375 | 0.9671196738725 | 0.48355983693625 |
112 | 0.463447166962441 | 0.926894333924882 | 0.536552833037559 |
113 | 0.507023008226357 | 0.985953983547287 | 0.492976991773643 |
114 | 0.514769611173835 | 0.97046077765233 | 0.485230388826165 |
115 | 0.511072832937848 | 0.977854334124305 | 0.488927167062153 |
116 | 0.463632632012731 | 0.927265264025462 | 0.536367367987269 |
117 | 0.568753057957114 | 0.862493884085773 | 0.431246942042886 |
118 | 0.580766952401619 | 0.838466095196763 | 0.419233047598381 |
119 | 0.571798247535298 | 0.856403504929404 | 0.428201752464702 |
120 | 0.563712108109974 | 0.872575783780053 | 0.436287891890026 |
121 | 0.58394552087313 | 0.83210895825374 | 0.41605447912687 |
122 | 0.536266955415861 | 0.927466089168278 | 0.463733044584139 |
123 | 0.551883661250912 | 0.896232677498176 | 0.448116338749088 |
124 | 0.573614214543265 | 0.85277157091347 | 0.426385785456735 |
125 | 0.551712392055219 | 0.896575215889561 | 0.448287607944781 |
126 | 0.502590074544107 | 0.994819850911787 | 0.497409925455893 |
127 | 0.480179314443606 | 0.960358628887212 | 0.519820685556394 |
128 | 0.425042887170208 | 0.850085774340415 | 0.574957112829792 |
129 | 0.439532594877236 | 0.879065189754472 | 0.560467405122764 |
130 | 0.397160077908624 | 0.794320155817248 | 0.602839922091376 |
131 | 0.359855609383133 | 0.719711218766267 | 0.640144390616867 |
132 | 0.307188238265935 | 0.61437647653187 | 0.692811761734065 |
133 | 0.322992306708315 | 0.64598461341663 | 0.677007693291685 |
134 | 0.38236371889931 | 0.76472743779862 | 0.61763628110069 |
135 | 0.586182958335772 | 0.827634083328455 | 0.413817041664228 |
136 | 0.509416422802484 | 0.981167154395031 | 0.490583577197516 |
137 | 0.445404822177674 | 0.890809644355348 | 0.554595177822326 |
138 | 0.368057438631944 | 0.736114877263888 | 0.631942561368056 |
139 | 0.312395351824833 | 0.624790703649666 | 0.687604648175167 |
140 | 0.51988370257557 | 0.96023259484886 | 0.48011629742443 |
141 | 0.532991182305024 | 0.934017635389952 | 0.467008817694976 |
142 | 0.424833420472175 | 0.84966684094435 | 0.575166579527825 |
143 | 0.326372646590854 | 0.652745293181707 | 0.673627353409146 |
144 | 0.702863406558344 | 0.594273186883311 | 0.297136593441656 |
145 | 0.659691001809013 | 0.680617996381975 | 0.340308998190988 |
146 | 0.500898862223595 | 0.99820227555281 | 0.499101137776405 |
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 |