Multiple Linear Regression - Estimated Regression Equation |
Member[t] = + 1.04782670721478 + 0.0729570089347279Provison[t] + 0.0654005174473116Mother[t] + 0.00562364643803958Father[t] + 0.063112559403901Illness[t] -0.0432767813249698Tobacco[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) | 1.04782670721478 | 0.223746 | 4.6831 | 6e-06 | 3e-06 |
Provison | 0.0729570089347279 | 0.027802 | 2.6242 | 0.009578 | 0.004789 |
Mother | 0.0654005174473116 | 0.053932 | 1.2127 | 0.227156 | 0.113578 |
Father | 0.00562364643803958 | 0.049886 | 0.1127 | 0.910395 | 0.455197 |
Illness | 0.063112559403901 | 0.11783 | 0.5356 | 0.593006 | 0.296503 |
Tobacco | -0.0432767813249698 | 0.04231 | -1.0229 | 0.308012 | 0.154006 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.256259646347524 |
R-squared | 0.0656690063461582 |
Adjusted R-squared | 0.0347308939735144 |
F-TEST (value) | 2.12259253425637 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 151 |
p-value | 0.0657160719619755 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.489914985929934 |
Sum Squared Residuals | 36.2425207092478 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 1.57449585773801 | 0.42550414226199 |
2 | 1 | 1.31193163381913 | -0.311931633819132 |
3 | 1 | 1.61832691419297 | -0.618326914192972 |
4 | 1 | 1.67713309428253 | -0.677133094282532 |
5 | 2 | 1.56887221130001 | 0.431127788699995 |
6 | 2 | 1.50347169385269 | 0.496528306147307 |
7 | 1 | 1.39848519646908 | -0.398485196469075 |
8 | 2 | 1.63567557209257 | 0.364324427907431 |
9 | 1 | 1.57642870278742 | -0.576428702787422 |
10 | 2 | 1.50347169385269 | 0.496528306147306 |
11 | 1 | 1.12509009546384 | -0.125090095463842 |
12 | 2 | 1.50347169385269 | 0.496528306147306 |
13 | 1 | 1.55902776176918 | -0.559027761769178 |
14 | 2 | 1.70722973768204 | 0.292770262317955 |
15 | 2 | 1.67713309428253 | 0.322866905717469 |
16 | 2 | 1.66160369551794 | 0.338396304482057 |
17 | 1 | 1.35000118449582 | -0.350001184495821 |
18 | 1 | 1.57642870278742 | -0.576428702787422 |
19 | 1 | 1.31428089465827 | -0.314280894658268 |
20 | 2 | 1.48987514013748 | 0.510124859862518 |
21 | 2 | 1.5876759956635 | 0.412324004336499 |
22 | 1 | 1.50347169385269 | -0.503471693852694 |
23 | 2 | 1.71285338412008 | 0.287146615879916 |
24 | 2 | 1.50487453719795 | 0.495125462802054 |
25 | 2 | 1.50819448895679 | 0.491805511043208 |
26 | 2 | 1.43051468491797 | 0.569485315082034 |
27 | 2 | 1.56658425325660 | 0.433415746743405 |
28 | 2 | 1.63954126219132 | 0.360458737808677 |
29 | 1 | 1.78158958996203 | -0.781589589962025 |
30 | 1 | 1.43051468491797 | -0.430514684917966 |
31 | 2 | 1.5876759956635 | 0.412324004336499 |
32 | 1 | 1.57642870278742 | -0.576428702787422 |
33 | 2 | 1.51471898672877 | 0.485281013271227 |
34 | 2 | 1.70722973768204 | 0.292770262317955 |
35 | 2 | 1.43051468491797 | 0.569485315082034 |
36 | 1 | 1.57642870278742 | -0.576428702787422 |
37 | 2 | 1.66063300459823 | 0.339366995401771 |
38 | 1 | 1.58011950417608 | -0.580119504176085 |
39 | 1 | 1.5876759956635 | -0.587675995663501 |
40 | 2 | 1.63954126219132 | 0.360458737808677 |
41 | 1 | 1.50777807316704 | -0.507778073167037 |
42 | 2 | 1.72603352204554 | 0.273966477954459 |
43 | 2 | 1.64745286667277 | 0.352547133327227 |
44 | 1 | 1.22772733200833 | -0.227727332008328 |
45 | 1 | 1.38723790359300 | -0.387237903592996 |
46 | 2 | 1.53684272285112 | 0.463157277148885 |
47 | 2 | 1.57027505464526 | 0.429724945354742 |
48 | 1 | 1.35755767598324 | -0.357557675983238 |
49 | 2 | 1.59099594742235 | 0.409004052577653 |
50 | 2 | 1.50347169385269 | 0.496528306147306 |
51 | 1 | 1.43613833135601 | -0.436138331356005 |
52 | 1 | 1.50347169385269 | -0.503471693852694 |
53 | 2 | 1.28266782199913 | 0.717332178000867 |
54 | 2 | 1.34771322645241 | 0.652286773547589 |
55 | 2 | 1.49960600375394 | 0.50039399624606 |
56 | 1 | 1.45826206747835 | -0.458262067478347 |
57 | 1 | 1.49960600375394 | -0.49960600375394 |
58 | 1 | 1.64938571172215 | -0.64938571172215 |
59 | 1 | 1.28460066704851 | -0.284600667048510 |
60 | 1 | 1.51803893848762 | -0.518038938487619 |
61 | 1 | 1.28460066704851 | -0.284600667048510 |
62 | 2 | 1.46019491252772 | 0.539805087472276 |
63 | 2 | 1.45222200525055 | 0.547777994749448 |
64 | 2 | 1.58205234922546 | 0.417947650774538 |
65 | 2 | 1.57642870278742 | 0.423571297212578 |
66 | 1 | 1.64745286667277 | -0.647452866672773 |
67 | 2 | 1.67520024923315 | 0.324799750766846 |
68 | 2 | 1.48987514013748 | 0.510124859862518 |
69 | 1 | 1.5876759956635 | -0.587675995663501 |
70 | 1 | 1.50153884880332 | -0.501538848803317 |
71 | 1 | 1.50153884880332 | -0.501538848803317 |
72 | 2 | 1.64552002162340 | 0.354479978376604 |
73 | 1 | 1.65307651311081 | -0.653076513110813 |
74 | 1 | 1.57642870278742 | -0.576428702787422 |
75 | 1 | 1.78581039305481 | -0.785810393054812 |
76 | 1 | 1.65307651311081 | -0.653076513110813 |
77 | 2 | 1.65078855506740 | 0.349211444932598 |
78 | 1 | 1.53877556790049 | -0.538775567900492 |
79 | 2 | 1.42295819343055 | 0.577041806569451 |
80 | 2 | 1.58011950417608 | 0.419880495823915 |
81 | 2 | 1.65307651311081 | 0.346923486889187 |
82 | 2 | 1.50716249524136 | 0.492837504758643 |
83 | 1 | 1.64552002162340 | -0.645520021623396 |
84 | 2 | 1.71285338412008 | 0.287146615879916 |
85 | 2 | 1.64745286667277 | 0.352547133327227 |
86 | 1 | 1.36880496885932 | -0.368804968859317 |
87 | 2 | 1.60979973178584 | 0.390200268214157 |
88 | 2 | 1.50347169385269 | 0.496528306147306 |
89 | 1 | 1.57642870278742 | -0.576428702787422 |
90 | 1 | 1.43051468491797 | -0.430514684917966 |
91 | 2 | 1.71478622916946 | 0.285213770830539 |
92 | 2 | 1.57449585773805 | 0.425504142261955 |
93 | 2 | 1.60417608534780 | 0.395823914652197 |
94 | 1 | 1.64745286667277 | -0.647452866672773 |
95 | 2 | 1.47996938781093 | 0.520030612189066 |
96 | 1 | 1.71249827112605 | -0.712498271126051 |
97 | 2 | 1.65307651311081 | 0.346923486889187 |
98 | 1 | 1.64745286667277 | -0.647452866672773 |
99 | 1 | 1.67520024923315 | -0.675200249233154 |
100 | 2 | 1.57642870278742 | 0.423571297212578 |
101 | 2 | 1.19804710439857 | 0.80195289560143 |
102 | 1 | 1.43051468491797 | -0.430514684917966 |
103 | 2 | 1.57256301268867 | 0.427436987311332 |
104 | 2 | 1.65307651311081 | 0.346923486889187 |
105 | 1 | 1.55896645897346 | -0.558966458973456 |
106 | 1 | 1.70722973768204 | -0.707229737682045 |
107 | 1 | 1.58205234922546 | -0.582052349225461 |
108 | 1 | 1.34771322645241 | -0.347713226452411 |
109 | 2 | 1.7204098756075 | 0.279590124392499 |
110 | 1 | 1.21726730455182 | -0.217267304551821 |
111 | 1 | 1.43051468491797 | -0.430514684917966 |
112 | 1 | 1.24501468711220 | -0.245014687112202 |
113 | 1 | 1.60417608534780 | -0.604176085347803 |
114 | 2 | 1.51762252269786 | 0.482377477302136 |
115 | 1 | 1.52324616913590 | -0.523246169135903 |
116 | 2 | 1.7204098756075 | 0.279590124392499 |
117 | 1 | 1.5876759956635 | -0.587675995663501 |
118 | 2 | 1.43051468491797 | 0.569485315082034 |
119 | 2 | 1.57256301268867 | 0.427436987311332 |
120 | 1 | 1.44659835881251 | -0.446598358812513 |
121 | 1 | 1.69738528815122 | -0.697385288151218 |
122 | 2 | 1.64938571172215 | 0.35061428827785 |
123 | 2 | 1.43051468491797 | 0.569485315082034 |
124 | 1 | 1.50153884880332 | -0.501538848803317 |
125 | 2 | 1.56089930402283 | 0.439100695977166 |
126 | 2 | 1.78018674661677 | 0.219813253383227 |
127 | 2 | 1.50347169385269 | 0.496528306147306 |
128 | 2 | 1.71285338412008 | 0.287146615879916 |
129 | 1 | 1.58073508210176 | -0.580735082101765 |
130 | 2 | 1.58864668658321 | 0.411353313416785 |
131 | 2 | 1.58011950417608 | 0.419880495823915 |
132 | 2 | 1.60610893039718 | 0.39389106960282 |
133 | 2 | 1.57256301268867 | 0.427436987311332 |
134 | 1 | 1.59855243890976 | -0.598552438909764 |
135 | 1 | 1.71847703055812 | -0.718477030558124 |
136 | 2 | 1.63385631295756 | 0.366143687042438 |
137 | 2 | 1.67520024923315 | 0.324799750766846 |
138 | 2 | 1.67520024923315 | 0.324799750766846 |
139 | 2 | 1.50909534029073 | 0.490904659709266 |
140 | 1 | 1.56887221130001 | -0.568872211300005 |
141 | 2 | 1.46019491252772 | 0.539805087472276 |
142 | 2 | 1.65307651311081 | 0.346923486889187 |
143 | 2 | 1.72706551576098 | 0.272934484239024 |
144 | 1 | 1.68046878267716 | -0.68046878267716 |
145 | 1 | 1.43613833135601 | -0.436138331356005 |
146 | 2 | 1.64745286667277 | 0.352547133327227 |
147 | 2 | 1.60417608534780 | 0.395823914652197 |
148 | 2 | 1.64938571172215 | 0.35061428827785 |
149 | 1 | 1.53315192146245 | -0.533151921462452 |
150 | 2 | 1.65500935816019 | 0.34499064183981 |
151 | 2 | 1.49925089075991 | 0.500749109240094 |
152 | 2 | 1.58205234922546 | 0.417947650774538 |
153 | 1 | 1.57256301268867 | -0.572563012688668 |
154 | 1 | 1.43051468491797 | -0.430514684917966 |
155 | 2 | 1.78018674661677 | 0.219813253383227 |
156 | 1 | 1.43613833135601 | -0.436138331356005 |
157 | 2 | 1.84329930602067 | 0.156700693979326 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.259412884927412 | 0.518825769854825 | 0.740587115072588 |
10 | 0.204708323978147 | 0.409416647956294 | 0.795291676021853 |
11 | 0.525192110391727 | 0.949615779216545 | 0.474807889608273 |
12 | 0.477197214714661 | 0.954394429429322 | 0.522802785285339 |
13 | 0.471278075579662 | 0.942556151159323 | 0.528721924420338 |
14 | 0.383237304985793 | 0.766474609971586 | 0.616762695014207 |
15 | 0.387121238321916 | 0.774242476643833 | 0.612878761678084 |
16 | 0.436827899554817 | 0.873655799109634 | 0.563172100445183 |
17 | 0.555123002192842 | 0.889753995614316 | 0.444876997807158 |
18 | 0.580854972716702 | 0.838290054566596 | 0.419145027283298 |
19 | 0.505268920935858 | 0.989462158128285 | 0.494731079064142 |
20 | 0.622269849617579 | 0.755460300764842 | 0.377730150382421 |
21 | 0.574557316881648 | 0.850885366236704 | 0.425442683118352 |
22 | 0.584214403626372 | 0.831571192747257 | 0.415785596373628 |
23 | 0.513391637198033 | 0.973216725603933 | 0.486608362801967 |
24 | 0.513244357879264 | 0.973511284241472 | 0.486755642120736 |
25 | 0.513078670592997 | 0.973842658814006 | 0.486921329407003 |
26 | 0.52649363936254 | 0.94701272127492 | 0.47350636063746 |
27 | 0.484139746833141 | 0.968279493666281 | 0.515860253166859 |
28 | 0.428333188642814 | 0.856666377285628 | 0.571666811357186 |
29 | 0.606359056544349 | 0.787281886911303 | 0.393640943455651 |
30 | 0.60446569401692 | 0.79106861196616 | 0.39553430598308 |
31 | 0.574430171781297 | 0.851139656437405 | 0.425569828218703 |
32 | 0.611757616293592 | 0.776484767412816 | 0.388242383706408 |
33 | 0.590818050955562 | 0.818363898088877 | 0.409181949044438 |
34 | 0.546210476924343 | 0.907579046151314 | 0.453789523075657 |
35 | 0.548906995597458 | 0.902186008805084 | 0.451093004402542 |
36 | 0.5801481867163 | 0.8397036265674 | 0.4198518132837 |
37 | 0.537570941216598 | 0.924858117566804 | 0.462429058783402 |
38 | 0.583161950548487 | 0.833676098903025 | 0.416838049451513 |
39 | 0.610884610076304 | 0.778230779847391 | 0.389115389923696 |
40 | 0.574596940150516 | 0.850806119698969 | 0.425403059849484 |
41 | 0.562704427651694 | 0.874591144696612 | 0.437295572348306 |
42 | 0.521511585262234 | 0.956976829475533 | 0.478488414737766 |
43 | 0.488313902061253 | 0.976627804122506 | 0.511686097938747 |
44 | 0.441736354965111 | 0.883472709930223 | 0.558263645034889 |
45 | 0.417957294395924 | 0.835914588791848 | 0.582042705604076 |
46 | 0.412964344136113 | 0.825928688272225 | 0.587035655863887 |
47 | 0.389627879123596 | 0.779255758247192 | 0.610372120876404 |
48 | 0.370270705250082 | 0.740541410500164 | 0.629729294749918 |
49 | 0.352433399800832 | 0.704866799601665 | 0.647566600199168 |
50 | 0.348761564775214 | 0.697523129550428 | 0.651238435224786 |
51 | 0.34383744204846 | 0.68767488409692 | 0.65616255795154 |
52 | 0.350336978132839 | 0.700673956265677 | 0.649663021867162 |
53 | 0.383690505635622 | 0.767381011271244 | 0.616309494364378 |
54 | 0.415320676317815 | 0.83064135263563 | 0.584679323682185 |
55 | 0.397559015376125 | 0.79511803075225 | 0.602440984623875 |
56 | 0.397549939211765 | 0.79509987842353 | 0.602450060788235 |
57 | 0.42910090715181 | 0.85820181430362 | 0.57089909284819 |
58 | 0.464508782678718 | 0.929017565357435 | 0.535491217321282 |
59 | 0.435281636178109 | 0.870563272356217 | 0.564718363821891 |
60 | 0.441258710567239 | 0.882517421134479 | 0.558741289432761 |
61 | 0.410575357142546 | 0.821150714285093 | 0.589424642857454 |
62 | 0.430686751685757 | 0.861373503371515 | 0.569313248314243 |
63 | 0.461544984798125 | 0.92308996959625 | 0.538455015201875 |
64 | 0.445712694750968 | 0.891425389501937 | 0.554287305249032 |
65 | 0.431231097933932 | 0.862462195867864 | 0.568768902066068 |
66 | 0.469532278488121 | 0.939064556976242 | 0.530467721511879 |
67 | 0.441865625094852 | 0.883731250189703 | 0.558134374905148 |
68 | 0.447048119952799 | 0.894096239905597 | 0.552951880047201 |
69 | 0.468862960583624 | 0.937725921167248 | 0.531137039416376 |
70 | 0.469139469476604 | 0.938278938953209 | 0.530860530523396 |
71 | 0.468610986047083 | 0.937221972094166 | 0.531389013952917 |
72 | 0.446685759386498 | 0.893371518772995 | 0.553314240613502 |
73 | 0.480148288009208 | 0.960296576018416 | 0.519851711990792 |
74 | 0.498454721627956 | 0.996909443255911 | 0.501545278372044 |
75 | 0.567132897351489 | 0.865734205297021 | 0.432867102648511 |
76 | 0.598967317115361 | 0.802065365769277 | 0.401032682884639 |
77 | 0.589075576648332 | 0.821848846703335 | 0.410924423351668 |
78 | 0.598832550932068 | 0.802334898135863 | 0.401167449067932 |
79 | 0.618067718575799 | 0.763864562848403 | 0.381932281424201 |
80 | 0.608421039787913 | 0.783157920424174 | 0.391578960212087 |
81 | 0.58681561307732 | 0.82636877384536 | 0.41318438692268 |
82 | 0.59099987033135 | 0.8180002593373 | 0.40900012966865 |
83 | 0.619547479429909 | 0.760905041140183 | 0.380452520570091 |
84 | 0.590105817602381 | 0.819788364795238 | 0.409894182397619 |
85 | 0.567462422324838 | 0.865075155350323 | 0.432537577675162 |
86 | 0.543347970048933 | 0.913304059902134 | 0.456652029951067 |
87 | 0.525973109764832 | 0.948053780470337 | 0.474026890235168 |
88 | 0.525643712452877 | 0.948712575094246 | 0.474356287547123 |
89 | 0.546143386520018 | 0.907713226959964 | 0.453856613479982 |
90 | 0.535774501967153 | 0.928450996065695 | 0.464225498032847 |
91 | 0.501405556604364 | 0.997188886791272 | 0.498594443395636 |
92 | 0.489047074440137 | 0.978094148880275 | 0.510952925559863 |
93 | 0.469857710651145 | 0.93971542130229 | 0.530142289348855 |
94 | 0.506630345902429 | 0.986739308195143 | 0.493369654097571 |
95 | 0.509072777605944 | 0.981854444788113 | 0.490927222394056 |
96 | 0.546858639919343 | 0.906282720161314 | 0.453141360080657 |
97 | 0.521584776838825 | 0.956830446322351 | 0.478415223161175 |
98 | 0.561345075370678 | 0.877309849258643 | 0.438654924629322 |
99 | 0.60436989322756 | 0.79126021354488 | 0.39563010677244 |
100 | 0.586111836953429 | 0.827776326093143 | 0.413888163046571 |
101 | 0.696287614329966 | 0.607424771340068 | 0.303712385670034 |
102 | 0.681936771207728 | 0.636126457584544 | 0.318063228792272 |
103 | 0.673916624679119 | 0.652166750641763 | 0.326083375320881 |
104 | 0.64543361625481 | 0.709132767490379 | 0.354566383745190 |
105 | 0.65173903734203 | 0.696521925315939 | 0.348260962657970 |
106 | 0.724690200513603 | 0.550619598972794 | 0.275309799486397 |
107 | 0.755380027256592 | 0.489239945486815 | 0.244619972743408 |
108 | 0.725579081510449 | 0.548841836979102 | 0.274420918489551 |
109 | 0.688121595039745 | 0.623756809920509 | 0.311878404960254 |
110 | 0.644399834657539 | 0.711200330684923 | 0.355600165342461 |
111 | 0.635255273357683 | 0.729489453284633 | 0.364744726642317 |
112 | 0.589154340093502 | 0.821691319812996 | 0.410845659906498 |
113 | 0.633596258547969 | 0.732807482904063 | 0.366403741452031 |
114 | 0.636787446984013 | 0.726425106031973 | 0.363212553015987 |
115 | 0.636147791820344 | 0.727704416359313 | 0.363852208179656 |
116 | 0.590086272220564 | 0.819827455558871 | 0.409913727779436 |
117 | 0.655362719065248 | 0.689274561869503 | 0.344637280934752 |
118 | 0.677724001606667 | 0.644551996786666 | 0.322275998393333 |
119 | 0.667599015819533 | 0.664801968360935 | 0.332400984180467 |
120 | 0.66948033689992 | 0.661039326200161 | 0.330519663100081 |
121 | 0.677861338354092 | 0.644277323291815 | 0.322138661645908 |
122 | 0.631930790773522 | 0.736138418452957 | 0.368069209226478 |
123 | 0.664412186339045 | 0.67117562732191 | 0.335587813660955 |
124 | 0.657088963295667 | 0.685822073408666 | 0.342911036704333 |
125 | 0.633315438319995 | 0.73336912336001 | 0.366684561680005 |
126 | 0.576296870964927 | 0.847406258070147 | 0.423703129035073 |
127 | 0.575471848680909 | 0.849056302638182 | 0.424528151319091 |
128 | 0.519837739591899 | 0.960324520816202 | 0.480162260408101 |
129 | 0.543642606529941 | 0.912714786940118 | 0.456357393470059 |
130 | 0.495766076018386 | 0.991532152036771 | 0.504233923981614 |
131 | 0.47164660296408 | 0.94329320592816 | 0.52835339703592 |
132 | 0.422887557619965 | 0.84577511523993 | 0.577112442380035 |
133 | 0.442854911645646 | 0.885709823291293 | 0.557145088354354 |
134 | 0.510490987125635 | 0.97901802574873 | 0.489509012874365 |
135 | 0.618905414544388 | 0.762189170911225 | 0.381094585455612 |
136 | 0.551668256341769 | 0.896663487316462 | 0.448331743658231 |
137 | 0.490024382512277 | 0.980048765024554 | 0.509975617487723 |
138 | 0.448030038720837 | 0.896060077441675 | 0.551969961279163 |
139 | 0.452139455560086 | 0.904278911120171 | 0.547860544439914 |
140 | 0.4996347288623 | 0.9992694577246 | 0.5003652711377 |
141 | 0.608770395001238 | 0.782459209997525 | 0.391229604998762 |
142 | 0.554940671241365 | 0.89011865751727 | 0.445059328758635 |
143 | 0.515761486521094 | 0.968477026957811 | 0.484238513478906 |
144 | 0.851610237853437 | 0.296779524293125 | 0.148389762146562 |
145 | 0.781267291470078 | 0.437465417059845 | 0.218732708529922 |
146 | 0.699738864973273 | 0.600522270053454 | 0.300261135026727 |
147 | 0.866363200846664 | 0.267273598306673 | 0.133636799153336 |
148 | 0.736388356069854 | 0.527223287860291 | 0.263611643930146 |
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 |