Multiple Linear Regression - Estimated Regression Equation |
PersonalStandards[t] = + 20.5443468355652 -1.34456042983868Month[t] + 0.317541932006347ConcernOverMistakes[t] -0.333075539403863DoubtsAboutActions[t] + 0.190532531457494ParentalExpectations[t] + 0.0631702202398643ParentalCriticism[t] + 0.39852922691684Organization[t] -0.00145199529513204t + 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) | 20.5443468355652 | 15.111514 | 1.3595 | 0.17601 | 0.088005 |
Month | -1.34456042983868 | 1.517767 | -0.8859 | 0.377091 | 0.188545 |
ConcernOverMistakes | 0.317541932006347 | 0.054868 | 5.7874 | 0 | 0 |
DoubtsAboutActions | -0.333075539403863 | 0.107661 | -3.0938 | 0.002355 | 0.001178 |
ParentalExpectations | 0.190532531457494 | 0.10231 | 1.8623 | 0.064504 | 0.032252 |
ParentalCriticism | 0.0631702202398643 | 0.131179 | 0.4816 | 0.630818 | 0.315409 |
Organization | 0.39852922691684 | 0.073724 | 5.4057 | 0 | 0 |
t | -0.00145199529513204 | 0.006409 | -0.2266 | 0.821062 | 0.410531 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.607791545143314 |
R-squared | 0.369410562347697 |
Adjusted R-squared | 0.340177939410173 |
F-TEST (value) | 12.6369283774912 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 151 |
p-value | 1.05226938273972e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.40786144542361 |
Sum Squared Residuals | 1753.64146431191 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 24.6154601769689 | -0.615460176968857 |
2 | 25 | 23.7203780443517 | 1.27962195564829 |
3 | 30 | 25.5463520584338 | 4.45364794156625 |
4 | 19 | 21.7332025846856 | -2.73320258468564 |
5 | 22 | 21.9141711224935 | 0.085828877506543 |
6 | 22 | 24.4704360130666 | -2.47043601306658 |
7 | 25 | 22.4204312161137 | 2.57956878388629 |
8 | 23 | 19.663810587401 | 3.33618941259899 |
9 | 17 | 18.9684456365141 | -1.96844563651413 |
10 | 21 | 21.70094961844 | -0.700949618439988 |
11 | 19 | 23.0464525421152 | -4.04645254211519 |
12 | 19 | 23.4644188712026 | -4.46441887120256 |
13 | 15 | 23.2139297598583 | -8.21392975985835 |
14 | 16 | 17.1858883865609 | -1.18588838656092 |
15 | 23 | 19.545123254526 | 3.45487674547401 |
16 | 27 | 23.8231988454104 | 3.17680115458958 |
17 | 22 | 20.9986686382727 | 1.00133136172727 |
18 | 14 | 16.5547016176838 | -2.55470161768378 |
19 | 22 | 24.0033349739276 | -2.00333497392757 |
20 | 23 | 24.1549549675712 | -1.15495496757116 |
21 | 23 | 21.6792533025389 | 1.32074669746107 |
22 | 21 | 24.6290582256497 | -3.62905822564971 |
23 | 19 | 22.5938294316657 | -3.59382943166571 |
24 | 18 | 23.8214962862191 | -5.8214962862191 |
25 | 20 | 23.1919463911011 | -3.1919463911011 |
26 | 23 | 22.468278656401 | 0.531721343599004 |
27 | 25 | 23.2144081890078 | 1.78559181099220 |
28 | 19 | 23.3389437235236 | -4.33894372352361 |
29 | 24 | 23.8281020276905 | 0.171897972309529 |
30 | 22 | 21.4778321172715 | 0.52216788272847 |
31 | 25 | 24.995143342288 | 0.00485665771197539 |
32 | 26 | 23.6666288935079 | 2.33337110649205 |
33 | 29 | 22.5620487430989 | 6.43795125690107 |
34 | 32 | 25.0151312741617 | 6.98486872583831 |
35 | 25 | 21.6251544735118 | 3.37484552648824 |
36 | 29 | 24.3341779046894 | 4.66582209531057 |
37 | 28 | 24.7215286307526 | 3.27847136924739 |
38 | 17 | 17.2122876724438 | -0.212287672443842 |
39 | 28 | 26.1618212733088 | 1.83817872669123 |
40 | 29 | 22.8770586909418 | 6.12294130905824 |
41 | 26 | 27.6020337827467 | -1.60203378274673 |
42 | 25 | 23.4281610259388 | 1.57183897406123 |
43 | 14 | 19.5596527129310 | -5.55965271293097 |
44 | 25 | 21.9659315572723 | 3.0340684427277 |
45 | 26 | 21.6303452905670 | 4.36965470943303 |
46 | 20 | 20.3626235417236 | -0.362623541723554 |
47 | 18 | 21.5821389355878 | -3.5821389355878 |
48 | 32 | 24.5033885181282 | 7.49661148187175 |
49 | 25 | 24.8634797603586 | 0.136520239641448 |
50 | 25 | 21.7169079986238 | 3.28309200137619 |
51 | 23 | 20.721617363081 | 2.27838263691901 |
52 | 21 | 22.0977672887240 | -1.09776728872405 |
53 | 20 | 23.9924405257051 | -3.99244052570510 |
54 | 15 | 16.2871865072618 | -1.2871865072618 |
55 | 30 | 27.0522222750069 | 2.94777772499308 |
56 | 24 | 25.2926387405630 | -1.29263874056304 |
57 | 26 | 24.2231871816204 | 1.77681281837957 |
58 | 23 | 19.4826874568353 | 3.51731254316469 |
59 | 22 | 21.2372761778482 | 0.7627238221518 |
60 | 14 | 15.8198290780372 | -1.81982907803719 |
61 | 24 | 22.2288568462182 | 1.77114315378178 |
62 | 24 | 22.7669896833657 | 1.23301031663433 |
63 | 22 | 23.0431118514054 | -1.04311185140537 |
64 | 24 | 20.0490812819769 | 3.95091871802311 |
65 | 19 | 18.4269079353388 | 0.573092064661235 |
66 | 31 | 26.5343166342632 | 4.46568336573675 |
67 | 22 | 26.3465754833259 | -4.34657548332594 |
68 | 27 | 21.3870221467152 | 5.61297785328475 |
69 | 19 | 17.7740275465564 | 1.22597245344365 |
70 | 25 | 22.248560854076 | 2.75143914592402 |
71 | 20 | 24.7184455635103 | -4.71844556351032 |
72 | 21 | 21.3529722732986 | -0.352972273298564 |
73 | 27 | 27.3096048400485 | -0.309604840048460 |
74 | 23 | 24.4945080304255 | -1.49450803042549 |
75 | 25 | 25.4484932337964 | -0.448493233796377 |
76 | 20 | 22.1219658415182 | -2.12196584151823 |
77 | 21 | 19.2711013671893 | 1.7288986328107 |
78 | 22 | 22.4576498720129 | -0.457649872012915 |
79 | 23 | 22.9884598012194 | 0.0115401987805513 |
80 | 25 | 23.8335132988602 | 1.16648670113983 |
81 | 25 | 23.4904520408654 | 1.50954795913462 |
82 | 17 | 23.6599599704579 | -6.65995997045786 |
83 | 19 | 21.3996286900062 | -2.39962869000622 |
84 | 25 | 23.9079334090061 | 1.09206659099392 |
85 | 19 | 22.2161303011981 | -3.21613030119806 |
86 | 20 | 23.033834071491 | -3.03383407149098 |
87 | 25 | 22.3042715925031 | 2.69572840749686 |
88 | 23 | 20.8485405052727 | 2.15145949472735 |
89 | 27 | 24.5643291580915 | 2.43567084190848 |
90 | 17 | 20.7682999591211 | -3.76829995912113 |
91 | 17 | 23.2971622941603 | -6.29716229416034 |
92 | 19 | 19.9431836121737 | -0.94318361217374 |
93 | 17 | 19.5773630567943 | -2.57736305679429 |
94 | 22 | 21.8250159211754 | 0.174984078824584 |
95 | 21 | 23.4842690128125 | -2.48426901281247 |
96 | 32 | 28.5933811903275 | 3.40661880967254 |
97 | 21 | 24.6717083507703 | -3.67170835077026 |
98 | 21 | 24.3919229885562 | -3.39192298855623 |
99 | 18 | 21.0883075408688 | -3.0883075408688 |
100 | 18 | 21.1630501000525 | -3.16305010005252 |
101 | 23 | 22.7836039939921 | 0.216396006007864 |
102 | 19 | 20.4167646855259 | -1.41676468552588 |
103 | 19 | 23.3322872993455 | -4.33228729934554 |
104 | 21 | 22.2562186537996 | -1.25621865379957 |
105 | 20 | 23.8715975447009 | -3.8715975447009 |
106 | 17 | 18.6099691353834 | -1.60996913538337 |
107 | 18 | 20.0696690113420 | -2.06966901134195 |
108 | 19 | 20.6518170739204 | -1.65181707392039 |
109 | 22 | 22.1379399582682 | -0.137939958268183 |
110 | 15 | 18.7087038113505 | -3.70870381135047 |
111 | 14 | 18.7016490908593 | -4.70164909085932 |
112 | 18 | 26.5339534372729 | -8.53395343727288 |
113 | 24 | 21.3186930698236 | 2.68130693017636 |
114 | 35 | 23.4396894443247 | 11.5603105556753 |
115 | 29 | 19.1764921232580 | 9.82350787674203 |
116 | 21 | 21.7038531359647 | -0.703853135964666 |
117 | 25 | 20.2875265328775 | 4.71247346712253 |
118 | 19 | 20.2231146912019 | -1.22311469120191 |
119 | 22 | 23.1926672455877 | -1.19266724558766 |
120 | 13 | 16.5693318909854 | -3.56933189098536 |
121 | 26 | 22.8219877945414 | 3.17801220545859 |
122 | 17 | 16.8084047756571 | 0.191595224342898 |
123 | 25 | 20.1773952428261 | 4.82260475717388 |
124 | 20 | 20.5026669685515 | -0.502666968551508 |
125 | 19 | 18.2187115115903 | 0.781288488409747 |
126 | 21 | 22.5133858524599 | -1.51338585245987 |
127 | 22 | 20.7355714410995 | 1.26442855890048 |
128 | 24 | 22.5628743538752 | 1.43712564612484 |
129 | 21 | 22.8941818485835 | -1.89418184858355 |
130 | 26 | 25.290259634239 | 0.709740365761025 |
131 | 24 | 20.5759441403023 | 3.42405585969768 |
132 | 16 | 20.1509361203503 | -4.15093612035027 |
133 | 23 | 22.0796289994686 | 0.920371000531403 |
134 | 18 | 20.4538876476656 | -2.45388764766561 |
135 | 16 | 22.1982727089264 | -6.19827270892642 |
136 | 26 | 24.0373752206743 | 1.96262477932572 |
137 | 19 | 18.9215881828753 | 0.0784118171247219 |
138 | 21 | 16.8435503307432 | 4.15644966925678 |
139 | 21 | 22.0501475256849 | -1.05014752568494 |
140 | 22 | 18.6369453321101 | 3.36305466788988 |
141 | 23 | 19.6199455512131 | 3.38005444878689 |
142 | 29 | 24.6792438590453 | 4.32075614095474 |
143 | 21 | 19.6705334554183 | 1.32946654458167 |
144 | 21 | 19.7761829631607 | 1.22381703683931 |
145 | 23 | 21.9281702288537 | 1.07182977114626 |
146 | 27 | 22.8058392352872 | 4.19416076471282 |
147 | 25 | 25.1110595947121 | -0.111059594712143 |
148 | 21 | 20.7456399450393 | 0.254360054960657 |
149 | 10 | 17.0011886052382 | -7.00118860523817 |
150 | 20 | 22.4720036129577 | -2.47200361295771 |
151 | 26 | 22.3308339322751 | 3.66916606772492 |
152 | 24 | 23.5585884292772 | 0.441411570722758 |
153 | 29 | 31.2800720226967 | -2.2800720226967 |
154 | 19 | 18.6922053960791 | 0.307794603920859 |
155 | 24 | 22.1631390037223 | 1.83686099627767 |
156 | 22 | 20.7968412922494 | 1.20315870775063 |
157 | 24 | 23.2648168743218 | 0.735183125678164 |
158 | 22 | 21.7826009388685 | 0.217399061131487 |
159 | 19 | 23.2509755628181 | -4.25097556281815 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.0477993147051032 | 0.0955986294102064 | 0.952200685294897 |
12 | 0.0144490054928866 | 0.0288980109857732 | 0.985550994507113 |
13 | 0.0653354410451843 | 0.130670882090369 | 0.934664558954816 |
14 | 0.125641389605271 | 0.251282779210543 | 0.874358610394729 |
15 | 0.580729561396217 | 0.838540877207566 | 0.419270438603783 |
16 | 0.526101017347537 | 0.947797965304925 | 0.473898982652462 |
17 | 0.572861771014859 | 0.854276457970282 | 0.427138228985141 |
18 | 0.531008253791037 | 0.937983492417926 | 0.468991746208963 |
19 | 0.452039652486717 | 0.904079304973434 | 0.547960347513283 |
20 | 0.560726085383884 | 0.878547829232233 | 0.439273914616116 |
21 | 0.575345763206358 | 0.849308473587284 | 0.424654236793642 |
22 | 0.50789145334768 | 0.98421709330464 | 0.49210854665232 |
23 | 0.449515791721746 | 0.899031583443492 | 0.550484208278254 |
24 | 0.462299505166648 | 0.924599010333296 | 0.537700494833352 |
25 | 0.409154964363566 | 0.818309928727131 | 0.590845035636434 |
26 | 0.35661004783477 | 0.71322009566954 | 0.64338995216523 |
27 | 0.322917871533897 | 0.645835743067795 | 0.677082128466103 |
28 | 0.305463862767436 | 0.610927725534872 | 0.694536137232564 |
29 | 0.266902753264103 | 0.533805506528205 | 0.733097246735897 |
30 | 0.214956144676834 | 0.429912289353669 | 0.785043855323166 |
31 | 0.184011046430381 | 0.368022092860762 | 0.81598895356962 |
32 | 0.225303532244413 | 0.450607064488827 | 0.774696467755587 |
33 | 0.318032200903403 | 0.636064401806807 | 0.681967799096597 |
34 | 0.54148344644783 | 0.91703310710434 | 0.45851655355217 |
35 | 0.493510367799752 | 0.987020735599504 | 0.506489632200248 |
36 | 0.501830320278492 | 0.996339359443015 | 0.498169679721508 |
37 | 0.465811235485127 | 0.931622470970255 | 0.534188764514873 |
38 | 0.496207631543304 | 0.992415263086608 | 0.503792368456696 |
39 | 0.443241630861509 | 0.886483261723019 | 0.556758369138491 |
40 | 0.474068356951109 | 0.948136713902217 | 0.525931643048891 |
41 | 0.464853350755543 | 0.929706701511086 | 0.535146649244457 |
42 | 0.414540260180431 | 0.829080520360862 | 0.585459739819569 |
43 | 0.623522967491294 | 0.752954065017413 | 0.376477032508706 |
44 | 0.591396279468569 | 0.817207441062862 | 0.408603720531431 |
45 | 0.580299981407849 | 0.839400037184302 | 0.419700018592151 |
46 | 0.542609751407607 | 0.914780497184786 | 0.457390248592393 |
47 | 0.568845869176787 | 0.862308261646427 | 0.431154130823213 |
48 | 0.652351782864302 | 0.695296434271395 | 0.347648217135698 |
49 | 0.623937192760621 | 0.752125614478757 | 0.376062807239379 |
50 | 0.60035282781643 | 0.799294344367139 | 0.399647172183570 |
51 | 0.566319252462551 | 0.867361495074897 | 0.433680747537449 |
52 | 0.541785506006094 | 0.916428987987811 | 0.458214493993906 |
53 | 0.600811151697671 | 0.798377696604659 | 0.399188848302329 |
54 | 0.576920089366981 | 0.846159821266039 | 0.423079910633019 |
55 | 0.596672119842571 | 0.806655760314858 | 0.403327880157429 |
56 | 0.57287739692248 | 0.85424520615504 | 0.42712260307752 |
57 | 0.530351787685096 | 0.939296424629807 | 0.469648212314904 |
58 | 0.523846665264392 | 0.952306669471216 | 0.476153334735608 |
59 | 0.480109777200272 | 0.960219554400544 | 0.519890222799728 |
60 | 0.45005560431613 | 0.90011120863226 | 0.54994439568387 |
61 | 0.409181858313862 | 0.818363716627723 | 0.590818141686138 |
62 | 0.375831334443078 | 0.751662668886156 | 0.624168665556922 |
63 | 0.344368791957969 | 0.688737583915938 | 0.655631208042031 |
64 | 0.358688579553876 | 0.717377159107753 | 0.641311420446124 |
65 | 0.319396407710402 | 0.638792815420803 | 0.680603592289598 |
66 | 0.339508416496954 | 0.679016832993908 | 0.660491583503046 |
67 | 0.430658638415186 | 0.861317276830371 | 0.569341361584814 |
68 | 0.500429668450226 | 0.999140663099548 | 0.499570331549774 |
69 | 0.46147313543214 | 0.92294627086428 | 0.53852686456786 |
70 | 0.445150830589446 | 0.890301661178892 | 0.554849169410554 |
71 | 0.535581861304422 | 0.928836277391155 | 0.464418138695578 |
72 | 0.494266033277097 | 0.988532066554194 | 0.505733966722903 |
73 | 0.459165732010826 | 0.918331464021652 | 0.540834267989174 |
74 | 0.430347263221608 | 0.860694526443215 | 0.569652736778392 |
75 | 0.405886116179535 | 0.811772232359069 | 0.594113883820465 |
76 | 0.380421257472327 | 0.760842514944653 | 0.619578742527673 |
77 | 0.359785138741109 | 0.719570277482217 | 0.640214861258891 |
78 | 0.320734638669827 | 0.641469277339654 | 0.679265361330173 |
79 | 0.283329099243829 | 0.566658198487659 | 0.71667090075617 |
80 | 0.263099816785428 | 0.526199633570856 | 0.736900183214572 |
81 | 0.238882354208839 | 0.477764708417677 | 0.761117645791161 |
82 | 0.34019501537892 | 0.68039003075784 | 0.65980498462108 |
83 | 0.315252797649315 | 0.63050559529863 | 0.684747202350685 |
84 | 0.284601870375966 | 0.569203740751933 | 0.715398129624034 |
85 | 0.279980432804311 | 0.559960865608623 | 0.720019567195689 |
86 | 0.268402248548380 | 0.536804497096759 | 0.73159775145162 |
87 | 0.281620486228191 | 0.563240972456382 | 0.718379513771809 |
88 | 0.27283772159317 | 0.54567544318634 | 0.72716227840683 |
89 | 0.264680544024125 | 0.529361088048251 | 0.735319455975875 |
90 | 0.25799815668345 | 0.5159963133669 | 0.74200184331655 |
91 | 0.324235401492015 | 0.64847080298403 | 0.675764598507985 |
92 | 0.282801648409032 | 0.565603296818064 | 0.717198351590968 |
93 | 0.254385501518886 | 0.508771003037772 | 0.745614498481114 |
94 | 0.226664990896849 | 0.453329981793697 | 0.773335009103151 |
95 | 0.202270772569564 | 0.404541545139128 | 0.797729227430436 |
96 | 0.225413018665835 | 0.450826037331671 | 0.774586981334165 |
97 | 0.213363466915261 | 0.426726933830521 | 0.78663653308474 |
98 | 0.196593106180592 | 0.393186212361183 | 0.803406893819408 |
99 | 0.175959618515543 | 0.351919237031087 | 0.824040381484457 |
100 | 0.158068396790124 | 0.316136793580247 | 0.841931603209876 |
101 | 0.132671828543327 | 0.265343657086655 | 0.867328171456673 |
102 | 0.108371651134512 | 0.216743302269024 | 0.891628348865488 |
103 | 0.111238700096056 | 0.222477400192111 | 0.888761299903944 |
104 | 0.0906307256316616 | 0.181261451263323 | 0.909369274368338 |
105 | 0.0972875216812718 | 0.194575043362544 | 0.902712478318728 |
106 | 0.0787828283292672 | 0.157565656658534 | 0.921217171670733 |
107 | 0.0676119581527791 | 0.135223916305558 | 0.93238804184722 |
108 | 0.0616230586628013 | 0.123246117325603 | 0.938376941337199 |
109 | 0.0509487268905939 | 0.101897453781188 | 0.949051273109406 |
110 | 0.0507024897207455 | 0.101404979441491 | 0.949297510279254 |
111 | 0.0630306368252847 | 0.126061273650569 | 0.936969363174715 |
112 | 0.37471594195935 | 0.7494318839187 | 0.62528405804065 |
113 | 0.396065767017274 | 0.792131534034548 | 0.603934232982726 |
114 | 0.777236468589418 | 0.445527062821164 | 0.222763531410582 |
115 | 0.944703825227534 | 0.110592349544932 | 0.0552961747724658 |
116 | 0.92696163895201 | 0.146076722095981 | 0.0730383610479903 |
117 | 0.961282129391954 | 0.0774357412160923 | 0.0387178706080461 |
118 | 0.952686405316563 | 0.0946271893668732 | 0.0473135946834366 |
119 | 0.946333602324715 | 0.107332795350570 | 0.0536663976752852 |
120 | 0.955537504985884 | 0.088924990028232 | 0.044462495014116 |
121 | 0.94545858358664 | 0.109082832826721 | 0.0545414164133605 |
122 | 0.926410162352212 | 0.147179675295576 | 0.0735898376477878 |
123 | 0.930201968433878 | 0.139596063132244 | 0.0697980315661218 |
124 | 0.906593504726756 | 0.186812990546488 | 0.0934064952732442 |
125 | 0.897408804868619 | 0.205182390262763 | 0.102591195131381 |
126 | 0.869686847682626 | 0.260626304634748 | 0.130313152317374 |
127 | 0.858412016813367 | 0.283175966373266 | 0.141587983186633 |
128 | 0.822520124924674 | 0.354959750150653 | 0.177479875075326 |
129 | 0.785631510235046 | 0.428736979529909 | 0.214368489764954 |
130 | 0.756669643427386 | 0.486660713145227 | 0.243330356572614 |
131 | 0.728441878977573 | 0.543116242044854 | 0.271558121022427 |
132 | 0.742964464855606 | 0.514071070288788 | 0.257035535144394 |
133 | 0.699744922384611 | 0.600510155230778 | 0.300255077615389 |
134 | 0.641156486173096 | 0.717687027653807 | 0.358843513826904 |
135 | 0.877761802088364 | 0.244476395823273 | 0.122238197911636 |
136 | 0.834019475099343 | 0.331961049801315 | 0.165980524900657 |
137 | 0.78982252669633 | 0.420354946607341 | 0.210177473303671 |
138 | 0.79575811486991 | 0.40848377026018 | 0.20424188513009 |
139 | 0.781703414312484 | 0.436593171375031 | 0.218296585687516 |
140 | 0.71358677564883 | 0.572826448702339 | 0.286413224351170 |
141 | 0.640580769608577 | 0.718838460782846 | 0.359419230391423 |
142 | 0.597856761483372 | 0.804286477033256 | 0.402143238516628 |
143 | 0.540158227201639 | 0.919683545596722 | 0.459841772798361 |
144 | 0.470879728138157 | 0.941759456276313 | 0.529120271861843 |
145 | 0.356802453877931 | 0.713604907755861 | 0.643197546122069 |
146 | 0.343077876374913 | 0.686155752749826 | 0.656922123625087 |
147 | 0.516330738520749 | 0.967338522958502 | 0.483669261479251 |
148 | 0.352999393926963 | 0.705998787853926 | 0.647000606073037 |
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 | 1 | 0.0072463768115942 | OK |
10% type I error level | 5 | 0.036231884057971 | OK |