Multiple Linear Regression - Estimated Regression Equation |
PersonalStandards[t] = + 21.0638481525474 -1.33226514613105month[t] + 0.331360289672297ConcernoverMistakes[t] -0.355719150002528Doubtsaboutactions[t] + 0.197976188475ParentalExpectations[t] + 0.00683989436930336ParentalCriticism[t] + 0.387508988376619`Organization `[t] -0.00225008961774506t + 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) | 21.0638481525474 | 15.165043 | 1.389 | 0.166886 | 0.083443 |
month | -1.33226514613105 | 1.523395 | -0.8745 | 0.383215 | 0.191607 |
ConcernoverMistakes | 0.331360289672297 | 0.055769 | 5.9416 | 0 | 0 |
Doubtsaboutactions | -0.355719150002528 | 0.107595 | -3.3061 | 0.001182 | 0.000591 |
ParentalExpectations | 0.197976188475 | 0.102008 | 1.9408 | 0.054147 | 0.027074 |
ParentalCriticism | 0.00683989436930336 | 0.130045 | 0.0526 | 0.958123 | 0.479062 |
`Organization ` | 0.387508988376619 | 0.074104 | 5.2293 | 1e-06 | 0 |
t | -0.00225008961774506 | 0.006424 | -0.3503 | 0.726633 | 0.363316 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.609951812691802 |
R-squared | 0.372041213806015 |
Adjusted R-squared | 0.342930541598346 |
F-TEST (value) | 12.7802343811220 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 151 |
p-value | 7.8070883091641e-13 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.41825913153243 |
Sum Squared Residuals | 1764.35881903603 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 24.3788411032984 | -0.378841103298412 |
2 | 25 | 23.7933174568537 | 1.20668254314629 |
3 | 30 | 25.6735606613735 | 4.32643933862652 |
4 | 19 | 21.7075046653346 | -2.70750466533463 |
5 | 22 | 21.9808874935398 | 0.0191125064601897 |
6 | 22 | 24.4658886196 | -2.4658886196 |
7 | 25 | 22.688282717451 | 2.31171728254899 |
8 | 23 | 19.5027156262202 | 3.4972843737798 |
9 | 17 | 18.9427159653088 | -1.94271596530881 |
10 | 21 | 21.7482044896363 | -0.748204489636267 |
11 | 19 | 22.8673445099921 | -3.86734450999215 |
12 | 19 | 23.5975542560347 | -4.59755425603468 |
13 | 15 | 23.2588137498524 | -8.25881374985245 |
14 | 16 | 17.2526667160132 | -1.25266671601317 |
15 | 23 | 19.5225940144924 | 3.47740598550761 |
16 | 27 | 24.1058962125580 | 2.89410378744205 |
17 | 22 | 21.0535634139618 | 0.946436586038194 |
18 | 14 | 16.7079113118806 | -2.70791131188055 |
19 | 22 | 24.1935877676244 | -2.19358776762441 |
20 | 23 | 24.1793095883575 | -1.17930958835751 |
21 | 23 | 21.6818712588361 | 1.31812874116394 |
22 | 21 | 24.6554281666088 | -3.65542816660885 |
23 | 19 | 22.4448123844842 | -3.44481238448417 |
24 | 18 | 23.9264831925835 | -5.92648319258348 |
25 | 20 | 23.1505882072638 | -3.15058820726385 |
26 | 23 | 22.4701233933996 | 0.529876606600380 |
27 | 25 | 23.4170756293606 | 1.58292437063938 |
28 | 19 | 23.3707531355731 | -4.37075313557309 |
29 | 24 | 23.906282912676 | 0.0937170873239819 |
30 | 22 | 21.6327831261639 | 0.367216873836121 |
31 | 25 | 25.1274850906094 | -0.127485090609402 |
32 | 26 | 23.2349200887337 | 2.76507991126628 |
33 | 29 | 22.9423332704789 | 6.05766672952114 |
34 | 32 | 25.2142659177213 | 6.78573408227866 |
35 | 25 | 21.6589391383298 | 3.34106086167018 |
36 | 29 | 24.470275094754 | 4.52972490524597 |
37 | 28 | 25.0279450913147 | 2.97205490868526 |
38 | 17 | 17.2069821292941 | -0.206982129294115 |
39 | 28 | 26.1591905348952 | 1.84080946510476 |
40 | 29 | 23.0028708032515 | 5.99712919674848 |
41 | 26 | 27.5355633049122 | -1.53556330491216 |
42 | 25 | 23.4810793706953 | 1.51892062930467 |
43 | 14 | 19.6637513362319 | -5.66375133623185 |
44 | 25 | 22.1883705425711 | 2.81162945742886 |
45 | 26 | 21.6571447242257 | 4.34285527577433 |
46 | 20 | 20.2596490514696 | -0.259649051469628 |
47 | 18 | 21.4228614759953 | -3.4228614759953 |
48 | 32 | 24.7110546322652 | 7.2889453677348 |
49 | 25 | 25.0263393497554 | -0.0263393497553649 |
50 | 25 | 21.8210739933462 | 3.17892600665381 |
51 | 23 | 20.8677594930622 | 2.13224050693777 |
52 | 21 | 22.117854032886 | -1.11785403288601 |
53 | 20 | 23.9726413261168 | -3.97264132611681 |
54 | 15 | 16.5457006606119 | -1.54570066061186 |
55 | 30 | 26.6881828513834 | 3.31181714861657 |
56 | 24 | 25.2744043336664 | -1.27440433366639 |
57 | 26 | 24.2388525586138 | 1.76114744138620 |
58 | 24 | 21.7359669669679 | 2.26403303303208 |
59 | 22 | 21.3581754011873 | 0.641824598812666 |
60 | 14 | 15.7380015387017 | -1.73800153870174 |
61 | 24 | 22.1605918193999 | 1.83940818060007 |
62 | 24 | 22.9180112554593 | 1.08198874454068 |
63 | 24 | 23.2964543228427 | 0.703545677157297 |
64 | 24 | 19.8829114979323 | 4.11708850206774 |
65 | 19 | 18.4759965405149 | 0.524003459485107 |
66 | 31 | 26.7304833463546 | 4.26951665364540 |
67 | 22 | 26.5495294158872 | -4.54952941588722 |
68 | 27 | 21.4486621120195 | 5.55133788798047 |
69 | 19 | 17.6523601250116 | 1.34763987498842 |
70 | 25 | 22.2181674990078 | 2.78183250099224 |
71 | 20 | 24.9625665057518 | -4.96256650575181 |
72 | 21 | 21.4159350820325 | -0.415935082032485 |
73 | 27 | 27.4227120635285 | -0.422712063528469 |
74 | 23 | 24.399868173257 | -1.39986817325701 |
75 | 25 | 25.6847420541193 | -0.684742054119261 |
76 | 20 | 22.2024072152892 | -2.20240721528923 |
77 | 21 | 19.1980099821813 | 1.80199001781872 |
78 | 22 | 22.3890673931533 | -0.389067393153251 |
79 | 23 | 22.8628970178047 | 0.137102982195293 |
80 | 25 | 24.0662945432902 | 0.933705456709783 |
81 | 25 | 23.3049900746637 | 1.69500992533628 |
82 | 17 | 23.6945505826395 | -6.69455058263948 |
83 | 19 | 21.397982885467 | -2.39798288546698 |
84 | 25 | 23.8698754371039 | 1.13012456289610 |
85 | 19 | 22.2719093019712 | -3.27190930197122 |
86 | 20 | 23.1090584144252 | -3.10905841442521 |
87 | 26 | 22.4589667436964 | 3.54103325630361 |
88 | 23 | 20.6077905640758 | 2.39220943592424 |
89 | 27 | 24.3389723071074 | 2.66102769289259 |
90 | 17 | 20.8386249075823 | -3.83862490758231 |
91 | 17 | 23.2983394821097 | -6.29833948210969 |
92 | 19 | 19.9942601881693 | -0.994260188169338 |
93 | 17 | 19.6494842422993 | -2.64948424229929 |
94 | 22 | 22.0232851008073 | -0.0232851008072933 |
95 | 21 | 23.3306910343887 | -2.33069103438874 |
96 | 32 | 28.554977955948 | 3.44502204405199 |
97 | 21 | 24.6245509755056 | -3.62455097550557 |
98 | 21 | 24.2891262400522 | -3.28912624005225 |
99 | 18 | 21.1740932510251 | -3.17409325102513 |
100 | 18 | 21.2400029865128 | -3.24000298651281 |
101 | 23 | 22.7537633290092 | 0.246236670990792 |
102 | 19 | 20.5465002291185 | -1.54650022911846 |
103 | 20 | 20.9652612427763 | -0.965261242776257 |
104 | 21 | 22.1891589001762 | -1.18915890017616 |
105 | 20 | 23.6300535236411 | -3.63005352364107 |
106 | 17 | 18.8311987042487 | -1.83119870424873 |
107 | 18 | 20.2285439329738 | -2.22854393297381 |
108 | 19 | 20.7040858341501 | -1.70408583415010 |
109 | 22 | 21.9824464857710 | 0.0175535142289650 |
110 | 15 | 18.7011860415034 | -3.7011860415034 |
111 | 14 | 18.7396316108277 | -4.7396316108277 |
112 | 18 | 26.471435033924 | -8.47143503392401 |
113 | 24 | 21.2069537493994 | 2.79304625060058 |
114 | 35 | 23.5051226996185 | 11.4948773003815 |
115 | 29 | 18.9021191707563 | 10.0978808292437 |
116 | 21 | 21.8443033733754 | -0.84430337337535 |
117 | 25 | 20.4849070060213 | 4.51509299397873 |
118 | 20 | 18.3813962323908 | 1.61860376760922 |
119 | 22 | 23.1087927659848 | -1.10879276598484 |
120 | 13 | 16.8342670146989 | -3.83426701469886 |
121 | 26 | 23.1038642390464 | 2.89613576095364 |
122 | 17 | 16.8165564995674 | 0.183443500432643 |
123 | 25 | 19.9838701968775 | 5.01612980312253 |
124 | 20 | 20.503457930182 | -0.503457930182017 |
125 | 19 | 17.9608114705424 | 1.03918852945757 |
126 | 21 | 22.5050016345108 | -1.50500163451080 |
127 | 22 | 20.8874236381136 | 1.11257636188644 |
128 | 24 | 22.4751712895552 | 1.52482871044484 |
129 | 21 | 22.7666882303897 | -1.76668823038966 |
130 | 26 | 25.3236884376753 | 0.676311562324669 |
131 | 24 | 20.4475417530915 | 3.55245824690852 |
132 | 16 | 20.1125993189920 | -4.11259931899195 |
133 | 23 | 22.1607585893467 | 0.839241410653308 |
134 | 18 | 20.61754812361 | -2.61754812361002 |
135 | 16 | 22.1819493252509 | -6.18194932525092 |
136 | 26 | 23.9793235421491 | 2.02067645785094 |
137 | 19 | 18.9400040731225 | 0.0599959268775127 |
138 | 21 | 16.7994060864538 | 4.20059391354616 |
139 | 21 | 21.9532949908417 | -0.953294990841725 |
140 | 22 | 18.3690292816605 | 3.63097071833953 |
141 | 23 | 19.6531452281397 | 3.34685477186026 |
142 | 29 | 24.6571023707593 | 4.3428976292407 |
143 | 21 | 19.1553290225513 | 1.84467097744868 |
144 | 21 | 19.7602111315723 | 1.23978886842772 |
145 | 23 | 21.7151826161722 | 1.28481738382783 |
146 | 27 | 22.8496187679819 | 4.15038123201806 |
147 | 25 | 25.2709551798013 | -0.270955179801295 |
148 | 21 | 20.8097139725763 | 0.190286027423701 |
149 | 10 | 16.9811157828466 | -6.98111578284664 |
150 | 20 | 22.4381017712208 | -2.43810177122084 |
151 | 26 | 22.3030997692200 | 3.69690023078004 |
152 | 24 | 23.5083186717168 | 0.49168132828322 |
153 | 29 | 31.5188532187234 | -2.51885321872343 |
154 | 19 | 18.9459507782572 | 0.0540492217428360 |
155 | 24 | 21.9053501077378 | 2.09464989226215 |
156 | 19 | 20.5742538575748 | -1.57425385757476 |
157 | 24 | 23.2186255812581 | 0.781374418741888 |
158 | 22 | 21.6144994694945 | 0.38550053050552 |
159 | 17 | 23.5852606802824 | -6.58526068028241 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.0472282915691036 | 0.0944565831382072 | 0.952771708430896 |
12 | 0.0142347569152268 | 0.0284695138304537 | 0.985765243084773 |
13 | 0.0642884291271374 | 0.128576858254275 | 0.935711570872863 |
14 | 0.123589412073294 | 0.247178824146588 | 0.876410587926706 |
15 | 0.575257265962158 | 0.849485468075684 | 0.424742734037842 |
16 | 0.519010929924004 | 0.961978140151993 | 0.480989070075996 |
17 | 0.565297800917807 | 0.869404398164387 | 0.434702199082193 |
18 | 0.523739753075165 | 0.95252049384967 | 0.476260246924835 |
19 | 0.445228556854438 | 0.890457113708876 | 0.554771443145562 |
20 | 0.553461908153067 | 0.893076183693865 | 0.446538091846933 |
21 | 0.567823026707247 | 0.864353946585506 | 0.432176973292753 |
22 | 0.500235496645313 | 0.999529006709373 | 0.499764503354687 |
23 | 0.440707102527054 | 0.881414205054107 | 0.559292897472946 |
24 | 0.453828745485484 | 0.907657490970968 | 0.546171254514516 |
25 | 0.400417821039417 | 0.800835642078835 | 0.599582178960583 |
26 | 0.348124189519325 | 0.69624837903865 | 0.651875810480675 |
27 | 0.314056394869064 | 0.628112789738128 | 0.685943605130936 |
28 | 0.296953027500917 | 0.593906055001835 | 0.703046972499083 |
29 | 0.258975082499486 | 0.517950164998971 | 0.741024917500514 |
30 | 0.207909708067084 | 0.415819416134167 | 0.792090291932916 |
31 | 0.177696269978822 | 0.355392539957644 | 0.822303730021178 |
32 | 0.218286360932852 | 0.436572721865705 | 0.781713639067148 |
33 | 0.303572864201354 | 0.607145728402709 | 0.696427135798646 |
34 | 0.519976459980546 | 0.960047080038907 | 0.480023540019454 |
35 | 0.470327384966914 | 0.940654769933828 | 0.529672615033086 |
36 | 0.477197878354428 | 0.954395756708857 | 0.522802121645572 |
37 | 0.439092817132165 | 0.87818563426433 | 0.560907182867835 |
38 | 0.46889131168129 | 0.93778262336258 | 0.53110868831871 |
39 | 0.416064234285362 | 0.832128468570725 | 0.583935765714638 |
40 | 0.442220690310919 | 0.884441380621838 | 0.557779309689081 |
41 | 0.432593978651678 | 0.865187957303357 | 0.567406021348322 |
42 | 0.382317559691076 | 0.764635119382151 | 0.617682440308924 |
43 | 0.593569903380535 | 0.812860193238931 | 0.406430096619465 |
44 | 0.555139652780362 | 0.889720694439276 | 0.444860347219638 |
45 | 0.541799462494252 | 0.916401075011496 | 0.458200537505748 |
46 | 0.503485339228549 | 0.993029321542902 | 0.496514660771451 |
47 | 0.527545036320013 | 0.944909927359974 | 0.472454963679987 |
48 | 0.60402464243179 | 0.79195071513642 | 0.39597535756821 |
49 | 0.573896690688722 | 0.852206618622556 | 0.426103309311278 |
50 | 0.544530198697438 | 0.910939602605124 | 0.455469801302562 |
51 | 0.506772835878187 | 0.986454328243625 | 0.493227164121813 |
52 | 0.482234695374461 | 0.964469390748923 | 0.517765304625539 |
53 | 0.542038359366441 | 0.915923281267119 | 0.457961640633559 |
54 | 0.51964994486688 | 0.96070011026624 | 0.48035005513312 |
55 | 0.541571718001004 | 0.916856563997991 | 0.458428281998996 |
56 | 0.51722826349151 | 0.96554347301698 | 0.48277173650849 |
57 | 0.473043887309257 | 0.946087774618515 | 0.526956112690742 |
58 | 0.437026924682028 | 0.874053849364055 | 0.562973075317972 |
59 | 0.391121375622773 | 0.782242751245547 | 0.608878624377227 |
60 | 0.358828134438247 | 0.717656268876494 | 0.641171865561753 |
61 | 0.32140907445437 | 0.64281814890874 | 0.67859092554563 |
62 | 0.287047696003948 | 0.574095392007896 | 0.712952303996052 |
63 | 0.251122554730347 | 0.502245109460695 | 0.748877445269653 |
64 | 0.266685808766533 | 0.533371617533067 | 0.733314191233467 |
65 | 0.230991341772084 | 0.461982683544169 | 0.769008658227916 |
66 | 0.239388059482966 | 0.478776118965933 | 0.760611940517034 |
67 | 0.325787745537041 | 0.651575491074082 | 0.674212254462959 |
68 | 0.383511522592426 | 0.767023045184852 | 0.616488477407574 |
69 | 0.346088853758203 | 0.692177707516406 | 0.653911146241797 |
70 | 0.328086479270663 | 0.656172958541326 | 0.671913520729337 |
71 | 0.421911096223903 | 0.843822192447805 | 0.578088903776097 |
72 | 0.380587027040322 | 0.761174054080645 | 0.619412972959678 |
73 | 0.346821416633166 | 0.693642833266333 | 0.653178583366834 |
74 | 0.31972326588666 | 0.63944653177332 | 0.68027673411334 |
75 | 0.295548688997915 | 0.59109737799583 | 0.704451311002085 |
76 | 0.274237520590348 | 0.548475041180696 | 0.725762479409652 |
77 | 0.255485900174983 | 0.510971800349966 | 0.744514099825017 |
78 | 0.222082992141231 | 0.444165984282462 | 0.777917007858769 |
79 | 0.191449790494697 | 0.382899580989394 | 0.808550209505303 |
80 | 0.169174982172543 | 0.338349964345085 | 0.830825017827457 |
81 | 0.151373914628040 | 0.302747829256081 | 0.84862608537196 |
82 | 0.237000881738235 | 0.47400176347647 | 0.762999118261765 |
83 | 0.216546064716956 | 0.433092129433911 | 0.783453935283044 |
84 | 0.190524507820138 | 0.381049015640276 | 0.809475492179862 |
85 | 0.188270714820023 | 0.376541429640045 | 0.811729285179977 |
86 | 0.180517677955146 | 0.361035355910293 | 0.819482322044854 |
87 | 0.196938458108752 | 0.393876916217505 | 0.803061541891248 |
88 | 0.192026882069032 | 0.384053764138064 | 0.807973117930968 |
89 | 0.186970016335473 | 0.373940032670947 | 0.813029983664527 |
90 | 0.184409520496719 | 0.368819040993437 | 0.815590479503281 |
91 | 0.243920107721789 | 0.487840215443578 | 0.756079892278211 |
92 | 0.208409628417874 | 0.416819256835747 | 0.791590371582126 |
93 | 0.186249858358829 | 0.372499716717658 | 0.813750141641171 |
94 | 0.159004318154898 | 0.318008636309797 | 0.840995681845102 |
95 | 0.139346450366477 | 0.278692900732953 | 0.860653549633523 |
96 | 0.154191619247150 | 0.308383238494299 | 0.84580838075285 |
97 | 0.145698330114228 | 0.291396660228456 | 0.854301669885772 |
98 | 0.132788191434042 | 0.265576382868084 | 0.867211808565958 |
99 | 0.119969940673306 | 0.239939881346612 | 0.880030059326694 |
100 | 0.109707536189959 | 0.219415072379919 | 0.89029246381004 |
101 | 0.0898547171429609 | 0.179709434285922 | 0.91014528285704 |
102 | 0.0724505645799833 | 0.144901129159967 | 0.927549435420017 |
103 | 0.0571492647100174 | 0.114298529420035 | 0.942850735289983 |
104 | 0.0450266537814175 | 0.090053307562835 | 0.954973346218583 |
105 | 0.0459545537331827 | 0.0919091074663654 | 0.954045446266817 |
106 | 0.0368570957724971 | 0.0737141915449942 | 0.963142904227503 |
107 | 0.0323609234853466 | 0.0647218469706932 | 0.967639076514653 |
108 | 0.0296258900221629 | 0.0592517800443258 | 0.970374109977837 |
109 | 0.0233345576698011 | 0.0466691153396022 | 0.976665442330199 |
110 | 0.0242205239089534 | 0.0484410478179068 | 0.975779476091047 |
111 | 0.0340420963504668 | 0.0680841927009337 | 0.965957903649533 |
112 | 0.234976770150145 | 0.469953540300291 | 0.765023229849855 |
113 | 0.247492821953589 | 0.494985643907178 | 0.752507178046411 |
114 | 0.60599894736637 | 0.78800210526726 | 0.39400105263363 |
115 | 0.865155824369819 | 0.269688351260363 | 0.134844175630181 |
116 | 0.833691444848146 | 0.332617110303708 | 0.166308555151854 |
117 | 0.863113349005083 | 0.273773301989834 | 0.136886650994917 |
118 | 0.834485996019012 | 0.331028007961976 | 0.165514003980988 |
119 | 0.812858004053467 | 0.374283991893065 | 0.187141995946533 |
120 | 0.869066892748669 | 0.261866214502662 | 0.130933107251331 |
121 | 0.84169527327878 | 0.316609453442439 | 0.158304726721219 |
122 | 0.806966057766138 | 0.386067884467723 | 0.193033942233862 |
123 | 0.815122072529896 | 0.369755854940207 | 0.184877927470104 |
124 | 0.771456209007541 | 0.457087581984917 | 0.228543790992459 |
125 | 0.736799556790731 | 0.526400886418537 | 0.263200443209269 |
126 | 0.697696746248103 | 0.604606507503793 | 0.302303253751897 |
127 | 0.648882492388105 | 0.70223501522379 | 0.351117507611895 |
128 | 0.596281405803019 | 0.807437188393962 | 0.403718594196981 |
129 | 0.540965730975205 | 0.91806853804959 | 0.459034269024795 |
130 | 0.489738838803071 | 0.979477677606142 | 0.510261161196929 |
131 | 0.461247229111773 | 0.922494458223546 | 0.538752770888227 |
132 | 0.484645975860347 | 0.969291951720694 | 0.515354024139653 |
133 | 0.419661915912352 | 0.839323831824704 | 0.580338084087648 |
134 | 0.390303674321781 | 0.780607348643562 | 0.609696325678219 |
135 | 0.691076384406584 | 0.617847231186832 | 0.308923615593416 |
136 | 0.621994720576027 | 0.756010558847946 | 0.378005279423973 |
137 | 0.607920932467513 | 0.784158135064974 | 0.392079067532487 |
138 | 0.55206301159818 | 0.895873976803641 | 0.447936988401820 |
139 | 0.575613737369328 | 0.848772525261345 | 0.424386262630673 |
140 | 0.498889616226112 | 0.997779232452225 | 0.501110383773888 |
141 | 0.43665290848957 | 0.87330581697914 | 0.56334709151043 |
142 | 0.393752184975431 | 0.787504369950861 | 0.606247815024569 |
143 | 0.412108142838477 | 0.824216285676954 | 0.587891857161523 |
144 | 0.352430242804263 | 0.704860485608526 | 0.647569757195737 |
145 | 0.252953861156967 | 0.505907722313934 | 0.747046138843033 |
146 | 0.216073128162615 | 0.432146256325230 | 0.783926871837385 |
147 | 0.174856985634632 | 0.349713971269263 | 0.825143014365368 |
148 | 0.0968604437437478 | 0.193720887487496 | 0.903139556256252 |
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 | 3 | 0.0217391304347826 | OK |
10% type I error level | 10 | 0.072463768115942 | OK |