Multiple Linear Regression - Estimated Regression Equation |
ParentalExpectations[t] = + 6.16887701869768 + 0.0910412769387536ConcernoverMistakes[t] -0.124974617942723Doubtsaboutactions[t] + 0.665424927458418ParentalCriticism[t] + 0.11660939935939PersonalStandards[t] -0.0883713236862746Organization[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) | 6.16887701869768 | 1.771341 | 3.4826 | 0.000648 | 0.000324 |
ConcernoverMistakes | 0.0910412769387536 | 0.048105 | 1.8925 | 0.060307 | 0.030154 |
Doubtsaboutactions | -0.124974617942723 | 0.087221 | -1.4329 | 0.153941 | 0.07697 |
ParentalCriticism | 0.665424927458418 | 0.086305 | 7.7102 | 0 | 0 |
PersonalStandards | 0.11660939935939 | 0.063217 | 1.8446 | 0.067032 | 0.033516 |
Organization | -0.0883713236862746 | 0.06186 | -1.4286 | 0.155164 | 0.077582 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.638267527023895 |
R-squared | 0.407385436053198 |
Adjusted R-squared | 0.388018947035329 |
F-TEST (value) | 21.0355855249398 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 153 |
p-value | 5.55111512312578e-16 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.69537380350115 |
Sum Squared Residuals | 1111.55111091184 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 15.0902933123129 | -4.0902933123129 |
2 | 7 | 13.2762821036644 | -6.27628210366435 |
3 | 17 | 13.5791293272923 | 3.42087067270766 |
4 | 10 | 11.814362150994 | -1.81436215099402 |
5 | 12 | 13.6829990430466 | -1.68299904304659 |
6 | 12 | 11.0364041615041 | 0.963595838495944 |
7 | 11 | 10.1076079797071 | 0.892392020292914 |
8 | 11 | 14.3967092422446 | -3.39670924224459 |
9 | 12 | 10.5041912767322 | 1.4958087232678 |
10 | 13 | 11.2393467158858 | 1.76065328411421 |
11 | 14 | 14.7179223038925 | -0.717922303892455 |
12 | 16 | 14.6795639476073 | 1.32043605239274 |
13 | 11 | 13.7222505886242 | -2.72225058862422 |
14 | 10 | 12.171504542406 | -2.17150454240604 |
15 | 11 | 12.2210218592443 | -1.22102185924431 |
16 | 15 | 10.0972302995133 | 4.90276970048665 |
17 | 9 | 13.7427769322339 | -4.74277693223385 |
18 | 11 | 12.4301743557007 | -1.43017435570071 |
19 | 17 | 12.0923751235759 | 4.90762487642411 |
20 | 17 | 15.475775866184 | 1.524224133816 |
21 | 11 | 13.5674149618832 | -2.56741496188315 |
22 | 18 | 15.265731662396 | 2.73426833760396 |
23 | 14 | 15.9662771203031 | -1.96627712030308 |
24 | 10 | 12.631340115953 | -2.63134011595297 |
25 | 11 | 11.7051308268035 | -0.705130826803506 |
26 | 15 | 13.1756692700971 | 1.8243307299029 |
27 | 15 | 11.6518037762529 | 3.34819622374708 |
28 | 13 | 13.0394634394106 | -0.0394634394105844 |
29 | 16 | 13.8019230368326 | 2.19807696316744 |
30 | 13 | 11.1172230710448 | 1.88277692895524 |
31 | 9 | 11.4491376476338 | -2.44913764763384 |
32 | 18 | 18.0030465092912 | -0.00304650929119785 |
33 | 18 | 12.2793428140968 | 5.72065718590321 |
34 | 12 | 13.6253041781773 | -1.62530417817728 |
35 | 17 | 13.6400686988707 | 3.35993130112927 |
36 | 9 | 12.1591717239839 | -3.15917172398391 |
37 | 9 | 13.111961986022 | -4.11196198602199 |
38 | 12 | 8.7181350371216 | 3.28186496287841 |
39 | 18 | 16.888495655891 | 1.11150434410898 |
40 | 12 | 12.9523201557008 | -0.952320155700772 |
41 | 18 | 14.0943833460635 | 3.9056166539365 |
42 | 14 | 13.918532436192 | 0.0814675638080462 |
43 | 15 | 12.0114923322002 | 2.98850766779985 |
44 | 16 | 10.8016263416645 | 5.19837365833548 |
45 | 10 | 13.0626597362727 | -3.0626597362727 |
46 | 11 | 11.4811050721646 | -0.481105072164592 |
47 | 14 | 12.8723646008572 | 1.12763539914275 |
48 | 9 | 13.0267330822588 | -4.02673308225883 |
49 | 12 | 13.7654218293621 | -1.76542182936209 |
50 | 17 | 12.2305934158728 | 4.76940658412719 |
51 | 5 | 9.75916045865077 | -4.75916045865077 |
52 | 12 | 12.3341334798547 | -0.334133479854686 |
53 | 12 | 11.921146721685 | 0.0788532783150179 |
54 | 6 | 9.41738287861176 | -3.41738287861176 |
55 | 24 | 22.7575898856656 | 1.24241011433443 |
56 | 12 | 12.4705368032406 | -0.470536803240622 |
57 | 12 | 12.8912569954051 | -0.891256995405105 |
58 | 14 | 11.5637878113925 | 2.43621218860746 |
59 | 7 | 9.13925944888823 | -2.13925944888823 |
60 | 13 | 11.1108254584178 | 1.8891745415822 |
61 | 12 | 13.1699740047662 | -1.16997400476625 |
62 | 13 | 11.5012610358896 | 1.49873896411044 |
63 | 14 | 11.3811688788399 | 2.61883112116007 |
64 | 8 | 12.8494881336204 | -4.84948813362038 |
65 | 11 | 9.33970638899418 | 1.66029361100583 |
66 | 9 | 11.7252295593965 | -2.72522955939653 |
67 | 11 | 13.7592540973606 | -2.7592540973606 |
68 | 13 | 13.3899451240086 | -0.389945124008605 |
69 | 10 | 9.36242353831312 | 0.637576461686878 |
70 | 11 | 12.644333071598 | -1.64433307159803 |
71 | 12 | 12.7642291877397 | -0.764229187739686 |
72 | 9 | 11.8481211530213 | -2.8481211530213 |
73 | 15 | 14.6149674793619 | 0.38503252063806 |
74 | 18 | 14.9036047233049 | 3.09639527669505 |
75 | 15 | 12.1096801141992 | 2.89031988580083 |
76 | 12 | 12.8128698183052 | -0.812869818305165 |
77 | 13 | 9.8348328268442 | 3.16516717315581 |
78 | 14 | 13.0143677836606 | 0.985632216339413 |
79 | 10 | 11.8416130832527 | -1.84161308325268 |
80 | 13 | 12.3069274032501 | 0.693072596749949 |
81 | 13 | 13.6966402561304 | -0.696640256130414 |
82 | 11 | 12.0658770888727 | -1.06587708887274 |
83 | 13 | 12.1758573054965 | 0.824142694503452 |
84 | 16 | 14.4384781040293 | 1.56152189597069 |
85 | 8 | 9.66985922268198 | -1.66985922268198 |
86 | 16 | 11.5752737479677 | 4.42472625203231 |
87 | 11 | 11.0690549071499 | -0.0690549071499213 |
88 | 9 | 11.2274987396122 | -2.22749873961222 |
89 | 16 | 17.7385710036935 | -1.73857100369345 |
90 | 12 | 11.4334515850136 | 0.566548414986438 |
91 | 14 | 11.9711530082135 | 2.02884699178646 |
92 | 8 | 10.5416330824799 | -2.54163308247993 |
93 | 9 | 9.5277606339652 | -0.527760633965194 |
94 | 15 | 11.7125688088546 | 3.28743119114537 |
95 | 11 | 13.4909106406515 | -2.49091064065145 |
96 | 21 | 17.1603559175302 | 3.83964408246983 |
97 | 14 | 13.2199013582316 | 0.780098641768431 |
98 | 18 | 15.7625027353026 | 2.23749726469742 |
99 | 12 | 11.6750356023157 | 0.324964397684325 |
100 | 13 | 12.6653523900202 | 0.33464760997982 |
101 | 15 | 14.4935478713002 | 0.506452128699828 |
102 | 12 | 11.0120042023471 | 0.987995797652922 |
103 | 19 | 14.4374270787798 | 4.56257292122016 |
104 | 15 | 13.9667006000868 | 1.03329939991321 |
105 | 11 | 12.9368506119609 | -1.93685061196091 |
106 | 11 | 10.679178862076 | 0.320821137923995 |
107 | 10 | 12.335578068881 | -2.335578068881 |
108 | 13 | 14.7733541108617 | -1.77335411086173 |
109 | 15 | 14.7245474815058 | 0.275452518494184 |
110 | 12 | 9.85282683318797 | 2.14717316681203 |
111 | 12 | 10.9640676085609 | 1.03593239143914 |
112 | 16 | 15.6813923789404 | 0.318607621059554 |
113 | 9 | 15.4318202038122 | -6.4318202038122 |
114 | 18 | 17.468777293522 | 0.531222706477954 |
115 | 8 | 14.9072071421707 | -6.90720714217072 |
116 | 13 | 10.2807507615446 | 2.71924923845535 |
117 | 17 | 14.1502494449219 | 2.84975055507809 |
118 | 9 | 10.9875403311856 | -1.98754033118563 |
119 | 15 | 13.1285836555302 | 1.87141634446984 |
120 | 8 | 9.64377645368698 | -1.64377645368698 |
121 | 7 | 11.1837282246314 | -4.18372822463136 |
122 | 12 | 11.2951272008084 | 0.704872799191556 |
123 | 14 | 14.9779944961403 | -0.977994496140275 |
124 | 6 | 10.6501536890186 | -4.65015368901865 |
125 | 8 | 10.06343890956 | -2.06343890956002 |
126 | 17 | 12.354638121533 | 4.64536187846698 |
127 | 10 | 9.64089395650687 | 0.359106043493133 |
128 | 11 | 12.4393523485524 | -1.43935234855237 |
129 | 14 | 12.6978411419978 | 1.30215885800217 |
130 | 11 | 13.5695552173331 | -2.56955521733305 |
131 | 13 | 15.3246802742953 | -2.32468027429533 |
132 | 12 | 11.8341179002391 | 0.165882099760948 |
133 | 11 | 10.3032935718869 | 0.69670642811309 |
134 | 9 | 9.35386895969433 | -0.353868959694334 |
135 | 12 | 11.9876070196175 | 0.0123929803824522 |
136 | 20 | 14.6532047226802 | 5.34679527731984 |
137 | 12 | 10.6236516491933 | 1.37634835080672 |
138 | 13 | 13.596719114034 | -0.596719114033957 |
139 | 12 | 13.0334917483171 | -1.03349174831707 |
140 | 12 | 16.4374760656668 | -4.43747606566676 |
141 | 9 | 14.5841126764461 | -5.58411267644606 |
142 | 15 | 15.4921726464561 | -0.492172646456068 |
143 | 24 | 21.4778057128825 | 2.52219428711755 |
144 | 7 | 9.86113482063936 | -2.86113482063936 |
145 | 17 | 14.5135950673666 | 2.48640493263336 |
146 | 11 | 11.8295717418214 | -0.829571741821423 |
147 | 17 | 15.0913892233858 | 1.90861077661417 |
148 | 11 | 12.2042764010189 | -1.20427640101887 |
149 | 12 | 12.5068570210313 | -0.506857021031325 |
150 | 14 | 14.390998955855 | -0.390998955854967 |
151 | 11 | 14.1913798412456 | -3.19137984124556 |
152 | 16 | 12.7195521217213 | 3.28044787827867 |
153 | 21 | 13.7306034317296 | 7.26939656827036 |
154 | 14 | 12.1946858182094 | 1.80531418179062 |
155 | 20 | 16.2967049279621 | 3.70329507203789 |
156 | 13 | 10.9441375203391 | 2.05586247966086 |
157 | 11 | 12.9695013576068 | -1.96950135760678 |
158 | 15 | 13.8226020174876 | 1.17739798251241 |
159 | 19 | 17.8532948714343 | 1.14670512856569 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.558147117898382 | 0.883705764203236 | 0.441852882101618 |
10 | 0.417622381927573 | 0.835244763855146 | 0.582377618072427 |
11 | 0.61551336797381 | 0.76897326405238 | 0.38448663202619 |
12 | 0.792385634609305 | 0.415228730781389 | 0.207614365390695 |
13 | 0.80349833925566 | 0.39300332148868 | 0.19650166074434 |
14 | 0.74311934674085 | 0.5137613065183 | 0.25688065325915 |
15 | 0.661325265885246 | 0.677349468229509 | 0.338674734114754 |
16 | 0.623505026072872 | 0.752989947854257 | 0.376494973927128 |
17 | 0.669203321813334 | 0.661593356373331 | 0.330796678186666 |
18 | 0.589547870867367 | 0.820904258265265 | 0.410452129132633 |
19 | 0.696933935799587 | 0.606132128400826 | 0.303066064200413 |
20 | 0.781688405780388 | 0.436623188439225 | 0.218311594219612 |
21 | 0.73923862460444 | 0.521522750791121 | 0.26076137539556 |
22 | 0.79886134078503 | 0.402277318429941 | 0.20113865921497 |
23 | 0.754037343928504 | 0.491925312142992 | 0.245962656071496 |
24 | 0.780326806735707 | 0.439346386528587 | 0.219673193264293 |
25 | 0.731266326720698 | 0.537467346558604 | 0.268733673279302 |
26 | 0.707801161068337 | 0.584397677863325 | 0.292198838931663 |
27 | 0.688859379494023 | 0.622281241011953 | 0.311140620505977 |
28 | 0.628509353892363 | 0.742981292215274 | 0.371490646107637 |
29 | 0.600710398180402 | 0.798579203639196 | 0.399289601819598 |
30 | 0.549249365765775 | 0.90150126846845 | 0.450750634234225 |
31 | 0.629092434964497 | 0.741815130071006 | 0.370907565035503 |
32 | 0.61586546474604 | 0.76826907050792 | 0.38413453525396 |
33 | 0.68127567329582 | 0.63744865340836 | 0.31872432670418 |
34 | 0.726260830030435 | 0.547478339939131 | 0.273739169969565 |
35 | 0.740119872166876 | 0.519760255666248 | 0.259880127833124 |
36 | 0.77750551748009 | 0.444988965039819 | 0.22249448251991 |
37 | 0.83049657463082 | 0.339006850738361 | 0.169503425369181 |
38 | 0.827274258587268 | 0.345451482825464 | 0.172725741412732 |
39 | 0.815157005722323 | 0.369685988555353 | 0.184842994277677 |
40 | 0.78632901356452 | 0.427341972870959 | 0.213670986435479 |
41 | 0.842437981217826 | 0.315124037564348 | 0.157562018782174 |
42 | 0.807905533583713 | 0.384188932832574 | 0.192094466416287 |
43 | 0.820335846014759 | 0.359328307970483 | 0.179664153985241 |
44 | 0.872079453344915 | 0.255841093310171 | 0.127920546655086 |
45 | 0.886216797832833 | 0.227566404334334 | 0.113783202167167 |
46 | 0.862656693675515 | 0.274686612648971 | 0.137343306324485 |
47 | 0.839613253310512 | 0.320773493378976 | 0.160386746689488 |
48 | 0.866983242360575 | 0.266033515278851 | 0.133016757639425 |
49 | 0.846650295959098 | 0.306699408081804 | 0.153349704040902 |
50 | 0.89544062323943 | 0.209118753521141 | 0.104559376760571 |
51 | 0.936384411412925 | 0.127231177174151 | 0.0636155885870754 |
52 | 0.920398198431924 | 0.159203603136153 | 0.0796018015680763 |
53 | 0.900401968694935 | 0.19919606261013 | 0.099598031305065 |
54 | 0.920837406945503 | 0.158325186108995 | 0.0791625930544975 |
55 | 0.906008130093083 | 0.187983739813834 | 0.093991869906917 |
56 | 0.884494983961559 | 0.231010032076882 | 0.115505016038441 |
57 | 0.862859147355458 | 0.274281705289085 | 0.137140852644542 |
58 | 0.855297892135244 | 0.289404215729512 | 0.144702107864756 |
59 | 0.852568647022941 | 0.294862705954117 | 0.147431352977059 |
60 | 0.834780503145584 | 0.330438993708831 | 0.165219496854416 |
61 | 0.812719104743993 | 0.374561790512014 | 0.187280895256007 |
62 | 0.79016048587672 | 0.419679028246561 | 0.20983951412328 |
63 | 0.786287722900391 | 0.427424554199218 | 0.213712277099609 |
64 | 0.861829645968663 | 0.276340708062674 | 0.138170354031337 |
65 | 0.845757302651547 | 0.308485394696906 | 0.154242697348453 |
66 | 0.842031135530718 | 0.315937728938563 | 0.157968864469282 |
67 | 0.841706124538992 | 0.316587750922016 | 0.158293875461008 |
68 | 0.814409633578083 | 0.371180732843833 | 0.185590366421917 |
69 | 0.789627796066312 | 0.420744407867377 | 0.210372203933688 |
70 | 0.76740080355609 | 0.465198392887821 | 0.23259919644391 |
71 | 0.73942000605576 | 0.521159987888479 | 0.26057999394424 |
72 | 0.742177138108445 | 0.515645723783109 | 0.257822861891555 |
73 | 0.709770786557528 | 0.580458426884944 | 0.290229213442472 |
74 | 0.728145546692956 | 0.543708906614088 | 0.271854453307044 |
75 | 0.735715888184302 | 0.528568223631397 | 0.264284111815698 |
76 | 0.70049719506297 | 0.599005609874062 | 0.299502804937031 |
77 | 0.731150657947526 | 0.537698684104948 | 0.268849342052474 |
78 | 0.697699571673996 | 0.604600856652009 | 0.302300428326004 |
79 | 0.67280403187205 | 0.6543919362559 | 0.32719596812795 |
80 | 0.633985267216993 | 0.732029465566013 | 0.366014732783007 |
81 | 0.591201825024338 | 0.817596349951324 | 0.408798174975662 |
82 | 0.555418011287605 | 0.88916397742479 | 0.444581988712395 |
83 | 0.514059273591798 | 0.971881452816404 | 0.485940726408202 |
84 | 0.482689267974837 | 0.965378535949675 | 0.517310732025163 |
85 | 0.453842936941356 | 0.907685873882711 | 0.546157063058645 |
86 | 0.536723630198914 | 0.926552739602172 | 0.463276369801086 |
87 | 0.49072089611304 | 0.98144179222608 | 0.50927910388696 |
88 | 0.469031793980476 | 0.938063587960953 | 0.530968206019524 |
89 | 0.446766260342172 | 0.893532520684345 | 0.553233739657828 |
90 | 0.402500196424304 | 0.805000392848607 | 0.597499803575696 |
91 | 0.384032748068518 | 0.768065496137036 | 0.615967251931482 |
92 | 0.375416111566465 | 0.75083222313293 | 0.624583888433535 |
93 | 0.332411345457341 | 0.664822690914682 | 0.667588654542659 |
94 | 0.352848587423913 | 0.705697174847825 | 0.647151412576087 |
95 | 0.349133332913721 | 0.698266665827441 | 0.65086666708628 |
96 | 0.38318854521471 | 0.76637709042942 | 0.61681145478529 |
97 | 0.344732846218357 | 0.689465692436715 | 0.655267153781643 |
98 | 0.323277880421803 | 0.646555760843606 | 0.676722119578197 |
99 | 0.281559473965138 | 0.563118947930276 | 0.718440526034862 |
100 | 0.242451931173832 | 0.484903862347665 | 0.757548068826168 |
101 | 0.20683405101514 | 0.41366810203028 | 0.79316594898486 |
102 | 0.179564755589086 | 0.359129511178173 | 0.820435244410914 |
103 | 0.23990773294275 | 0.479815465885501 | 0.76009226705725 |
104 | 0.209169225069567 | 0.418338450139134 | 0.790830774930433 |
105 | 0.199908051651071 | 0.399816103302141 | 0.80009194834893 |
106 | 0.167615011400069 | 0.335230022800137 | 0.832384988599931 |
107 | 0.160104685051905 | 0.32020937010381 | 0.839895314948095 |
108 | 0.146583697528313 | 0.293167395056626 | 0.853416302471687 |
109 | 0.119671533162637 | 0.239343066325273 | 0.880328466837363 |
110 | 0.111740917086331 | 0.223481834172662 | 0.888259082913669 |
111 | 0.093814944086254 | 0.187629888172508 | 0.906185055913746 |
112 | 0.0820678921068427 | 0.164135784213685 | 0.917932107893157 |
113 | 0.222217539592551 | 0.444435079185102 | 0.777782460407449 |
114 | 0.192281116462468 | 0.384562232924936 | 0.807718883537532 |
115 | 0.403414280961798 | 0.806828561923595 | 0.596585719038202 |
116 | 0.401970546376988 | 0.803941092753976 | 0.598029453623012 |
117 | 0.428790156508028 | 0.857580313016056 | 0.571209843491972 |
118 | 0.389999075185791 | 0.779998150371582 | 0.610000924814209 |
119 | 0.353668900605938 | 0.707337801211877 | 0.646331099394062 |
120 | 0.312541993189361 | 0.625083986378722 | 0.687458006810639 |
121 | 0.363550781030553 | 0.727101562061105 | 0.636449218969447 |
122 | 0.338683347635545 | 0.677366695271089 | 0.661316652364455 |
123 | 0.291049331908194 | 0.582098663816387 | 0.708950668091806 |
124 | 0.407265600697837 | 0.814531201395674 | 0.592734399302163 |
125 | 0.365172999924424 | 0.730345999848848 | 0.634827000075576 |
126 | 0.451689054908843 | 0.903378109817687 | 0.548310945091157 |
127 | 0.396013889912453 | 0.792027779824906 | 0.603986110087547 |
128 | 0.369145345396304 | 0.738290690792608 | 0.630854654603696 |
129 | 0.314797830970583 | 0.629595661941166 | 0.685202169029417 |
130 | 0.365300748163774 | 0.730601496327548 | 0.634699251836226 |
131 | 0.350725932786963 | 0.701451865573926 | 0.649274067213037 |
132 | 0.291816654530554 | 0.583633309061108 | 0.708183345469446 |
133 | 0.23833950766976 | 0.47667901533952 | 0.76166049233024 |
134 | 0.189415379525351 | 0.378830759050701 | 0.81058462047465 |
135 | 0.152360045918678 | 0.304720091837356 | 0.847639954081322 |
136 | 0.242371823917316 | 0.484743647834632 | 0.757628176082684 |
137 | 0.230341188718384 | 0.460682377436768 | 0.769658811281616 |
138 | 0.204152873904172 | 0.408305747808343 | 0.795847126095828 |
139 | 0.18459020082502 | 0.36918040165004 | 0.81540979917498 |
140 | 0.226382729630768 | 0.452765459261535 | 0.773617270369232 |
141 | 0.430335084600332 | 0.860670169200665 | 0.569664915399668 |
142 | 0.418342015666556 | 0.836684031333112 | 0.581657984333444 |
143 | 0.339110521242647 | 0.678221042485294 | 0.660889478757353 |
144 | 0.314432144809126 | 0.628864289618252 | 0.685567855190874 |
145 | 0.281334465023908 | 0.562668930047816 | 0.718665534976092 |
146 | 0.271419059398061 | 0.542838118796123 | 0.728580940601939 |
147 | 0.195163276717108 | 0.390326553434215 | 0.804836723282892 |
148 | 0.142678154692399 | 0.285356309384798 | 0.8573218453076 |
149 | 0.082148640367979 | 0.164297280735958 | 0.917851359632021 |
150 | 0.0439466197454927 | 0.0878932394909854 | 0.956053380254507 |
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 | 1 | 0.00704225352112676 | OK |