Multiple Linear Regression - Estimated Regression Equation |
Confidence[t] = + 13.1859586294866 + 0.00507128374736726Concern[t] -0.278644023837285Doubts[t] + 0.101708935008028ParentalExpectations[t] + 0.00158176421768097ParentalCriticism[t] + 0.0217139022837344PersonalStandards[t] + 0.149270127306556Organization[t] -0.00580718049086313t + 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) | 13.1859586294866 | 1.571231 | 8.3921 | 0 | 0 |
Concern | 0.00507128374736726 | 0.037631 | 0.1348 | 0.892989 | 0.446495 |
Doubts | -0.278644023837285 | 0.068906 | -4.0438 | 8.6e-05 | 4.3e-05 |
ParentalExpectations | 0.101708935008028 | 0.062726 | 1.6215 | 0.107131 | 0.053566 |
ParentalCriticism | 0.00158176421768097 | 0.078903 | 0.02 | 0.984034 | 0.492017 |
PersonalStandards | 0.0217139022837344 | 0.049043 | 0.4428 | 0.658616 | 0.329308 |
Organization | 0.149270127306556 | 0.049894 | 2.9917 | 0.003272 | 0.001636 |
t | -0.00580718049086313 | 0.003975 | -1.461 | 0.146216 | 0.073108 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.467944300630389 |
R-squared | 0.218971868492464 |
Adjusted R-squared | 0.180470481728008 |
F-TEST (value) | 5.68737614133464 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 142 |
p-value | 8.27082807408619e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.05762788096972 |
Sum Squared Residuals | 601.204214509241 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 16.6139339620755 | -3.6139339620755 |
2 | 16 | 16.4284289517939 | -0.428428951793902 |
3 | 19 | 15.7589626739441 | 3.24103732605593 |
4 | 15 | 14.2727300029493 | 0.727269997050687 |
5 | 14 | 14.9908715999515 | -0.99087159995147 |
6 | 13 | 15.5618278304180 | -2.56182783041797 |
7 | 19 | 15.3673125902512 | 3.63268740974878 |
8 | 15 | 16.2926454201209 | -1.29264542012085 |
9 | 14 | 16.1516874861911 | -2.15168748619105 |
10 | 15 | 14.8760866128081 | 0.123913387191945 |
11 | 16 | 15.0534205398054 | 0.946579460194623 |
12 | 16 | 14.9026188587904 | 1.09738114120961 |
13 | 16 | 14.8710961798008 | 1.12890382019920 |
14 | 17 | 17.6438820433499 | -0.643882043349945 |
15 | 15 | 12.5913859922208 | 2.40861400777919 |
16 | 15 | 16.2927411904873 | -1.29274119048733 |
17 | 20 | 17.1887431077682 | 2.81125689223178 |
18 | 18 | 17.1037424740686 | 0.896257525931451 |
19 | 16 | 17.3087435631608 | -1.30874356316084 |
20 | 16 | 14.6888506614136 | 1.31114933858640 |
21 | 19 | 14.8263828145943 | 4.17361718540565 |
22 | 16 | 14.7297919433371 | 1.27020805666289 |
23 | 17 | 16.1876881240435 | 0.812311875956463 |
24 | 17 | 15.2819950786701 | 1.71800492132989 |
25 | 16 | 14.9665790633153 | 1.03342093668469 |
26 | 15 | 13.5154823941365 | 1.48451760586348 |
27 | 14 | 15.9593647322043 | -1.95936473220427 |
28 | 15 | 16.3453704832468 | -1.34537048324680 |
29 | 12 | 14.9497710710292 | -2.94977107102921 |
30 | 14 | 15.1440545555275 | -1.14405455552749 |
31 | 16 | 15.4101518515395 | 0.589848148460479 |
32 | 14 | 15.8552520838496 | -1.85525208384961 |
33 | 7 | 14.3947565390464 | -7.39475653904638 |
34 | 10 | 13.2588380286264 | -3.25883802862638 |
35 | 14 | 14.6057826689751 | -0.605782668975087 |
36 | 16 | 16.7779311438682 | -0.777931143868164 |
37 | 16 | 14.4471416715257 | 1.55285832847428 |
38 | 16 | 13.8408602739132 | 2.15913972608680 |
39 | 14 | 15.5293273996257 | -1.52932739962571 |
40 | 20 | 18.1977507277069 | 1.80224927229308 |
41 | 14 | 15.0254137008972 | -1.02541370089720 |
42 | 14 | 15.2600305293303 | -1.26003052933029 |
43 | 11 | 14.5497352383586 | -3.54973523835864 |
44 | 15 | 15.9296663006850 | -0.929666300684979 |
45 | 16 | 15.7456766352709 | 0.25432336472913 |
46 | 14 | 15.2613316147310 | -1.26133161473104 |
47 | 16 | 14.4004882090504 | 1.59951179094956 |
48 | 14 | 15.2410673846754 | -1.24106738467539 |
49 | 12 | 15.5457832660431 | -3.54578326604307 |
50 | 16 | 15.0223975890625 | 0.977602410937516 |
51 | 9 | 13.9633980484456 | -4.96339804844555 |
52 | 14 | 14.4875496896335 | -0.487549689633468 |
53 | 16 | 15.7408222337379 | 0.259177766262083 |
54 | 16 | 15.1609716522175 | 0.839028347782451 |
55 | 15 | 15.2122243633186 | -0.212224363318575 |
56 | 16 | 14.8521819555621 | 1.14781804443789 |
57 | 12 | 13.5401323121032 | -1.54013231210324 |
58 | 16 | 16.5217287955254 | -0.521728795525386 |
59 | 16 | 16.1761543938631 | -0.176154393863125 |
60 | 14 | 16.3933353283843 | -2.39333532838426 |
61 | 16 | 12.6016606260921 | 3.39833937390794 |
62 | 17 | 15.9824204316697 | 1.01757956833026 |
63 | 18 | 14.7070871914091 | 3.29291280859092 |
64 | 18 | 15.4249220914617 | 2.5750779085383 |
65 | 12 | 14.5025949683924 | -2.50259496839241 |
66 | 16 | 15.8687302617883 | 0.131269738211660 |
67 | 10 | 14.3910440418816 | -4.39104404188163 |
68 | 14 | 12.7095949087348 | 1.29040509126520 |
69 | 18 | 15.4179556648222 | 2.58204433517785 |
70 | 18 | 16.2653622499863 | 1.73463775001372 |
71 | 16 | 15.5290289855346 | 0.470971014465363 |
72 | 16 | 15.4825531524353 | 0.517446847564721 |
73 | 16 | 14.7271359945953 | 1.27286400540465 |
74 | 13 | 14.6752984396829 | -1.67529843968288 |
75 | 16 | 15.0670808830758 | 0.932919116924178 |
76 | 16 | 14.7744375095125 | 1.22556249048753 |
77 | 20 | 15.9482652208551 | 4.05173477914486 |
78 | 16 | 15.2387419322767 | 0.761258067723293 |
79 | 15 | 12.8063237050544 | 2.19367629494562 |
80 | 15 | 15.2913349665646 | -0.291334966564635 |
81 | 16 | 15.7955961048069 | 0.204403895193115 |
82 | 14 | 14.0345813427015 | -0.0345813427015287 |
83 | 15 | 13.2216000839889 | 1.77839991601113 |
84 | 12 | 14.9066365866886 | -2.90663658668858 |
85 | 17 | 15.9601126792037 | 1.03988732079633 |
86 | 16 | 15.1289356585966 | 0.871064341403366 |
87 | 15 | 13.0445065581465 | 1.95549344185345 |
88 | 13 | 14.3081944139494 | -1.30819441394942 |
89 | 16 | 15.8588474413305 | 0.141152558669501 |
90 | 16 | 15.2054735820545 | 0.794526417945482 |
91 | 16 | 16.1312662650405 | -0.131266265040474 |
92 | 16 | 15.7713969342266 | 0.228603065773409 |
93 | 14 | 15.5486865554169 | -1.54868655541693 |
94 | 16 | 14.0673890109121 | 1.93261098908791 |
95 | 16 | 15.0422581528602 | 0.95774184713982 |
96 | 20 | 16.2692340013688 | 3.73076599863119 |
97 | 15 | 15.3992262599508 | -0.39922625995077 |
98 | 16 | 13.9980326565390 | 2.00196734346102 |
99 | 13 | 14.2957655650165 | -1.29576556501655 |
100 | 17 | 15.7672289610709 | 1.23277103892914 |
101 | 16 | 14.0679683586658 | 1.93203164133423 |
102 | 12 | 13.2356636412037 | -1.23566364120369 |
103 | 16 | 14.9111800497967 | 1.08881995020325 |
104 | 16 | 15.1422387177507 | 0.857761282249325 |
105 | 17 | 15.3478860085924 | 1.65211399140764 |
106 | 13 | 13.0595149855268 | -0.0595149855268156 |
107 | 12 | 15.7081076497185 | -3.7081076497185 |
108 | 18 | 15.6443489143162 | 2.35565108568384 |
109 | 14 | 13.5387860906722 | 0.461213909327788 |
110 | 14 | 14.3394650263327 | -0.339465026332685 |
111 | 13 | 13.6382368874932 | -0.638236887493229 |
112 | 16 | 15.2773937903488 | 0.722606209651224 |
113 | 13 | 12.4904083485798 | 0.509591651420171 |
114 | 16 | 15.1215593021966 | 0.878440697803391 |
115 | 13 | 14.6830274621508 | -1.68302746215077 |
116 | 16 | 15.6426034269247 | 0.35739657307529 |
117 | 15 | 14.5204570156667 | 0.479542984333252 |
118 | 16 | 15.0933210796492 | 0.906678920350833 |
119 | 15 | 14.7316609277932 | 0.268339072206798 |
120 | 17 | 15.4196193486458 | 1.58038065135420 |
121 | 15 | 15.6157457213473 | -0.615745721347312 |
122 | 12 | 13.4724342652028 | -1.47243426520282 |
123 | 16 | 14.2133702098931 | 1.78662979010686 |
124 | 10 | 13.9459293229077 | -3.94592932290766 |
125 | 16 | 14.1745922844059 | 1.82540771559412 |
126 | 14 | 14.4995566223463 | -0.499556622346274 |
127 | 15 | 16.0999575797433 | -1.09995757974331 |
128 | 13 | 14.2367854122844 | -1.23678541228445 |
129 | 15 | 15.1040846437896 | -0.104084643789639 |
130 | 11 | 13.4618815468193 | -2.46188154681932 |
131 | 12 | 13.9762152487714 | -1.97621524877138 |
132 | 8 | 14.2452353733339 | -6.24523537333395 |
133 | 16 | 15.9461048056350 | 0.0538951943649715 |
134 | 15 | 14.5211473010084 | 0.478852698991634 |
135 | 17 | 15.0337438609766 | 1.96625613902335 |
136 | 16 | 15.0927711898981 | 0.907228810101923 |
137 | 10 | 14.6538827628817 | -4.65388276288175 |
138 | 18 | 13.6255610961421 | 4.37443890385786 |
139 | 13 | 13.5183347163529 | -0.518334716352945 |
140 | 15 | 13.9670488488242 | 1.03295115117577 |
141 | 16 | 14.2929461263752 | 1.70705387362481 |
142 | 16 | 14.6224575461024 | 1.37754245389761 |
143 | 14 | 13.0799227119239 | 0.920077288076148 |
144 | 10 | 12.7967484861264 | -2.7967484861264 |
145 | 17 | 15.6116818497519 | 1.38831815024812 |
146 | 13 | 13.9868871063324 | -0.98688710633238 |
147 | 15 | 15.4647590285849 | -0.46475902858487 |
148 | 16 | 15.5470842456070 | 0.452915754392974 |
149 | 12 | 14.9184477267086 | -2.91844772670861 |
150 | 13 | 13.2806196571575 | -0.280619657157512 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.79843571586637 | 0.403128568267260 | 0.201564284133630 |
12 | 0.70719864925925 | 0.5856027014815 | 0.29280135074075 |
13 | 0.577455876553119 | 0.845088246893762 | 0.422544123446881 |
14 | 0.707313306260085 | 0.58537338747983 | 0.292686693739915 |
15 | 0.613076936846848 | 0.773846126306304 | 0.386923063153152 |
16 | 0.510973728725096 | 0.978052542549808 | 0.489026271274904 |
17 | 0.519993265923904 | 0.96001346815219 | 0.480006734076095 |
18 | 0.527531548362266 | 0.944936903275468 | 0.472468451637734 |
19 | 0.438392147098584 | 0.876784294197168 | 0.561607852901416 |
20 | 0.390845282710078 | 0.781690565420156 | 0.609154717289922 |
21 | 0.480732488081969 | 0.961464976163938 | 0.519267511918031 |
22 | 0.472004725721639 | 0.944009451443278 | 0.527995274278361 |
23 | 0.400294851361374 | 0.800589702722748 | 0.599705148638626 |
24 | 0.333147851964483 | 0.666295703928965 | 0.666852148035517 |
25 | 0.272628096991176 | 0.545256193982353 | 0.727371903008823 |
26 | 0.251179307318538 | 0.502358614637075 | 0.748820692681462 |
27 | 0.211705337592410 | 0.423410675184821 | 0.78829466240759 |
28 | 0.309300113228680 | 0.618600226457361 | 0.69069988677132 |
29 | 0.395248439268546 | 0.790496878537091 | 0.604751560731454 |
30 | 0.335470221732142 | 0.670940443464284 | 0.664529778267858 |
31 | 0.303423487416557 | 0.606846974833114 | 0.696576512583443 |
32 | 0.256324411472861 | 0.512648822945722 | 0.743675588527139 |
33 | 0.902799714274697 | 0.194400571450605 | 0.0972002857253027 |
34 | 0.925461464447135 | 0.14907707110573 | 0.074538535552865 |
35 | 0.906782062169122 | 0.186435875661757 | 0.0932179378308783 |
36 | 0.905443091787589 | 0.189113816424823 | 0.0945569082124114 |
37 | 0.900819591137584 | 0.198360817724832 | 0.099180408862416 |
38 | 0.902482992566613 | 0.195034014866774 | 0.097517007433387 |
39 | 0.881566402755432 | 0.236867194489136 | 0.118433597244568 |
40 | 0.912843883385941 | 0.174312233228118 | 0.0871561166140589 |
41 | 0.891304334968484 | 0.217391330063032 | 0.108695665031516 |
42 | 0.869748998191234 | 0.260502003617532 | 0.130251001808766 |
43 | 0.912855731845383 | 0.174288536309233 | 0.0871442681546167 |
44 | 0.891930747177383 | 0.216138505645235 | 0.108069252822618 |
45 | 0.870542990710397 | 0.258914018579207 | 0.129457009289603 |
46 | 0.846577890027168 | 0.306844219945664 | 0.153422109972832 |
47 | 0.8326311333831 | 0.3347377332338 | 0.1673688666169 |
48 | 0.805725862082261 | 0.388548275835478 | 0.194274137917739 |
49 | 0.844812756904374 | 0.310374486191252 | 0.155187243095626 |
50 | 0.829594174648924 | 0.340811650702152 | 0.170405825351076 |
51 | 0.924154376364671 | 0.151691247270657 | 0.0758456236353285 |
52 | 0.9141155193318 | 0.1717689613364 | 0.0858844806682 |
53 | 0.907134498977458 | 0.185731002045083 | 0.0928655010225417 |
54 | 0.900827651264732 | 0.198344697470537 | 0.0991723487352683 |
55 | 0.884305664476058 | 0.231388671047884 | 0.115694335523942 |
56 | 0.884297794851036 | 0.231404410297928 | 0.115702205148964 |
57 | 0.873794175594201 | 0.252411648811598 | 0.126205824405799 |
58 | 0.850811302214444 | 0.298377395571112 | 0.149188697785556 |
59 | 0.825766668536981 | 0.348466662926038 | 0.174233331463019 |
60 | 0.840518934841716 | 0.318962130316567 | 0.159481065158284 |
61 | 0.880861302019607 | 0.238277395960785 | 0.119138697980393 |
62 | 0.866429814714177 | 0.267140370571646 | 0.133570185285823 |
63 | 0.898157642013416 | 0.203684715973168 | 0.101842357986584 |
64 | 0.91149915841015 | 0.177001683179699 | 0.0885008415898493 |
65 | 0.928874502975021 | 0.142250994049958 | 0.0711254970249788 |
66 | 0.913787862006614 | 0.172424275986773 | 0.0862121379933863 |
67 | 0.968689057366647 | 0.0626218852667062 | 0.0313109426333531 |
68 | 0.961232706876615 | 0.0775345862467696 | 0.0387672931233848 |
69 | 0.968337476513819 | 0.0633250469723626 | 0.0316625234861813 |
70 | 0.96661428919433 | 0.0667714216113394 | 0.0333857108056697 |
71 | 0.957271897179262 | 0.0854562056414768 | 0.0427281028207384 |
72 | 0.946299626794865 | 0.107400746410269 | 0.0537003732051345 |
73 | 0.934159009387402 | 0.131681981225196 | 0.0658409906125981 |
74 | 0.940225985127095 | 0.119548029745810 | 0.0597740148729049 |
75 | 0.927786928464003 | 0.144426143071993 | 0.0722130715359965 |
76 | 0.912713441387291 | 0.174573117225417 | 0.0872865586127086 |
77 | 0.945423803922236 | 0.109152392155529 | 0.0545761960777644 |
78 | 0.93052257809335 | 0.138954843813301 | 0.0694774219066503 |
79 | 0.92398382848846 | 0.152032343023078 | 0.0760161715115392 |
80 | 0.908096221636062 | 0.183807556727877 | 0.0919037783639384 |
81 | 0.88630890554857 | 0.227382188902862 | 0.113691094451431 |
82 | 0.862932805631603 | 0.274134388736794 | 0.137067194368397 |
83 | 0.851215519141086 | 0.297568961717829 | 0.148784480858915 |
84 | 0.89816460851048 | 0.203670782979038 | 0.101835391489519 |
85 | 0.87884975668889 | 0.242300486622221 | 0.121150243311110 |
86 | 0.852414238425507 | 0.295171523148986 | 0.147585761574493 |
87 | 0.836584356011868 | 0.326831287976263 | 0.163415643988132 |
88 | 0.830210491755858 | 0.339579016488283 | 0.169789508244142 |
89 | 0.805824290497749 | 0.388351419004503 | 0.194175709502251 |
90 | 0.769907464468067 | 0.460185071063866 | 0.230092535531933 |
91 | 0.739742178841851 | 0.520515642316297 | 0.260257821158149 |
92 | 0.699206159619448 | 0.601587680761105 | 0.300793840380552 |
93 | 0.731946435987902 | 0.536107128024195 | 0.268053564012098 |
94 | 0.718500745961405 | 0.562998508077189 | 0.281499254038595 |
95 | 0.675586120939414 | 0.648827758121173 | 0.324413879060587 |
96 | 0.720008390931779 | 0.559983218136442 | 0.279991609068221 |
97 | 0.681754472241316 | 0.636491055517368 | 0.318245527758684 |
98 | 0.679876163949377 | 0.640247672101246 | 0.320123836050623 |
99 | 0.669827176947889 | 0.660345646104221 | 0.330172823052111 |
100 | 0.629825815122613 | 0.740348369754773 | 0.370174184877386 |
101 | 0.61270592578572 | 0.77458814842856 | 0.38729407421428 |
102 | 0.584831108841493 | 0.830337782317014 | 0.415168891158507 |
103 | 0.534576066721204 | 0.930847866557591 | 0.465423933278796 |
104 | 0.500687247600614 | 0.998625504798773 | 0.499312752399386 |
105 | 0.478856609775188 | 0.957713219550376 | 0.521143390224812 |
106 | 0.425228681158729 | 0.850457362317458 | 0.574771318841271 |
107 | 0.596017621392183 | 0.807964757215634 | 0.403982378607817 |
108 | 0.581267300660983 | 0.837465398678033 | 0.418732699339017 |
109 | 0.563409654954614 | 0.873180690090771 | 0.436590345045386 |
110 | 0.510455523415996 | 0.979088953168008 | 0.489544476584004 |
111 | 0.457763162996382 | 0.915526325992764 | 0.542236837003618 |
112 | 0.402297400625652 | 0.804594801251304 | 0.597702599374348 |
113 | 0.365239715166137 | 0.730479430332275 | 0.634760284833862 |
114 | 0.327027810437883 | 0.654055620875766 | 0.672972189562117 |
115 | 0.314342516233273 | 0.628685032466545 | 0.685657483766727 |
116 | 0.262502214251584 | 0.525004428503169 | 0.737497785748416 |
117 | 0.234911936155590 | 0.469823872311181 | 0.76508806384441 |
118 | 0.238462304461922 | 0.476924608923845 | 0.761537695538078 |
119 | 0.192256057369963 | 0.384512114739927 | 0.807743942630037 |
120 | 0.165486544505742 | 0.330973089011484 | 0.834513455494258 |
121 | 0.131805397843157 | 0.263610795686314 | 0.868194602156843 |
122 | 0.117565063444904 | 0.235130126889808 | 0.882434936555096 |
123 | 0.109630033191465 | 0.219260066382931 | 0.890369966808535 |
124 | 0.148748910308133 | 0.297497820616266 | 0.851251089691867 |
125 | 0.119798918079296 | 0.239597836158591 | 0.880201081920704 |
126 | 0.097419892017348 | 0.194839784034696 | 0.902580107982652 |
127 | 0.0721565981199034 | 0.144313196239807 | 0.927843401880097 |
128 | 0.0611420477853251 | 0.122284095570650 | 0.938857952214675 |
129 | 0.0412616739864623 | 0.0825233479729246 | 0.958738326013538 |
130 | 0.0426074268135283 | 0.0852148536270565 | 0.957392573186472 |
131 | 0.0353838000527565 | 0.070767600105513 | 0.964616199947243 |
132 | 0.486788137830947 | 0.973576275661894 | 0.513211862169053 |
133 | 0.401834786588614 | 0.803669573177227 | 0.598165213411386 |
134 | 0.313822407412951 | 0.627644814825902 | 0.686177592587049 |
135 | 0.265062973364862 | 0.530125946729724 | 0.734937026635138 |
136 | 0.182145016266821 | 0.364290032533642 | 0.817854983733179 |
137 | 0.625912160903189 | 0.748175678193621 | 0.374087839096811 |
138 | 0.519688615826267 | 0.960622768347466 | 0.480311384173733 |
139 | 0.382829775313453 | 0.765659550626906 | 0.617170224686547 |
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 | 8 | 0.062015503875969 | OK |