Multiple Linear Regression - Estimated Regression Equation |
CM+D[t] = + 13.8648506940409 + 0.152805219548221ParentalExpectations[t] + 0.629365627171892ParentalCriticism[t] + 0.449660665114335PersonalStandards[t] + 0.0677807458976412Organization[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) | 13.8648506940409 | 4.244167 | 3.2668 | 0.001341 | 0.000671 |
ParentalExpectations | 0.152805219548221 | 0.198679 | 0.7691 | 0.443008 | 0.221504 |
ParentalCriticism | 0.629365627171892 | 0.247635 | 2.5415 | 0.012026 | 0.006013 |
PersonalStandards | 0.449660665114335 | 0.143042 | 3.1436 | 0.002003 | 0.001001 |
Organization | 0.0677807458976412 | 0.153124 | 0.4427 | 0.658637 | 0.329319 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.419463868754593 |
R-squared | 0.175949937190571 |
Adjusted R-squared | 0.154546039455261 |
F-TEST (value) | 8.22046243008849 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 154 |
p-value | 4.91173108119192e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 6.71059243516357 |
Sum Squared Residuals | 6934.93582795469 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 38 | 35.6522509912167 | 2.34774900878331 |
2 | 36 | 32.7698860317577 | 3.23011396824229 |
3 | 23 | 36.6818030446069 | -13.6818030446069 |
4 | 30 | 30.5303376997164 | -0.530337699716388 |
5 | 26 | 32.5431727777371 | -6.54317277773713 |
6 | 26 | 31.9622489823698 | -5.96224898236977 |
7 | 30 | 30.9992058930583 | -0.99920589305831 |
8 | 27 | 34.2343209694423 | -7.23432096944232 |
9 | 34 | 29.2394804355146 | 4.7605195644854 |
10 | 28 | 31.3942705532131 | -3.39427055321309 |
11 | 36 | 33.7268018324945 | 2.27319816750554 |
12 | 42 | 32.3669965418613 | 9.63300345813873 |
13 | 31 | 30.0754507672534 | 0.92454923274661 |
14 | 30 | 28.6391097371922 | 1.36089026280777 |
15 | 26 | 32.4140048338243 | -6.41400483382428 |
16 | 16 | 32.7130903391728 | -16.7130903391728 |
17 | 30 | 32.1525378649901 | -2.15253786499011 |
18 | 23 | 27.6892513888189 | -4.68925138881886 |
19 | 28 | 32.3873713506227 | -4.38737135062267 |
20 | 45 | 35.083371540834 | 9.916628459166 |
21 | 42 | 32.9755897150985 | 9.02441028490147 |
22 | 50 | 34.3368554301536 | 15.6631445698464 |
23 | 30 | 34.1528252219734 | -4.15282522197343 |
24 | 45 | 30.0806770346020 | 14.9193229653980 |
25 | 30 | 31.4717073138671 | -1.47170731386713 |
26 | 24 | 33.7901528309843 | -9.79015283098434 |
27 | 29 | 32.8013772796973 | -3.80137727969734 |
28 | 30 | 31.6858997314306 | -1.68589973143056 |
29 | 31 | 34.3248379697493 | -3.32483796974926 |
30 | 26 | 31.0790040993603 | -5.07900409936025 |
31 | 34 | 32.2234496918962 | 1.77655030810378 |
32 | 41 | 40.0031098751753 | 0.996890124824745 |
33 | 37 | 34.0223854962416 | 2.9776145037584 |
34 | 33 | 36.1877326499226 | -3.18773264992255 |
35 | 26 | 34.7917423626165 | -8.79174236261653 |
36 | 48 | 33.8187501146606 | 14.1812498853394 |
37 | 44 | 33.0979664659557 | 10.9020335340443 |
38 | 29 | 27.9807491811708 | 1.01925081882918 |
39 | 44 | 38.2494072049211 | 5.75059279507892 |
40 | 37 | 34.7031891627843 | 2.29681083721574 |
41 | 43 | 36.6336005875298 | 6.36639941247025 |
42 | 31 | 34.4688881957671 | -3.46888819576715 |
43 | 28 | 28.6393759965000 | -0.639375996499952 |
44 | 26 | 32.257036126176 | -6.25703612617603 |
45 | 30 | 33.6779623555167 | -3.67796235551671 |
46 | 27 | 31.2683650761742 | -4.2683650761742 |
47 | 34 | 32.0184099130363 | 1.98159008696366 |
48 | 47 | 35.0321706182084 | 11.9678293817916 |
49 | 39 | 33.5339121294988 | 5.46608787050118 |
50 | 37 | 33.5330111082728 | 3.46698889172725 |
51 | 42 | 29.1152724996427 | 12.8847275003573 |
52 | 27 | 31.8030502149391 | -4.80305021493912 |
53 | 30 | 31.6245125334153 | -1.62451253341535 |
54 | 17 | 25.1285464310951 | -8.12854643109508 |
55 | 36 | 44.9649233780189 | -8.96492337801892 |
56 | 39 | 33.4909359397703 | 5.50906406022967 |
57 | 32 | 34.2546957782037 | -2.25469577820372 |
58 | 25 | 32.0633499032395 | -7.0633499032395 |
59 | 19 | 29.2423452572153 | -10.2423452572153 |
60 | 29 | 28.2659848115059 | 0.734015188494133 |
61 | 26 | 33.8491785833517 | -7.84917858335166 |
62 | 31 | 32.0461061754866 | -1.04610617548656 |
63 | 31 | 33.0994000057972 | -2.09940000579724 |
64 | 31 | 33.1701769592611 | -2.17017695926113 |
65 | 20 | 28.7950460377489 | -8.79504603774891 |
66 | 40 | 34.359828801308 | 5.64017119869203 |
67 | 39 | 32.0999056605052 | 6.90009433949477 |
68 | 28 | 34.4504771874804 | -6.45047718748042 |
69 | 22 | 29.4071679371679 | -7.40716793716786 |
70 | 31 | 33.5166684017459 | -2.51666840174588 |
71 | 36 | 30.5884624308576 | 5.41153756914239 |
72 | 28 | 30.6474881832249 | -2.64748818322492 |
73 | 39 | 35.724356983237 | 3.27564301676303 |
74 | 44 | 35.4395189980752 | 8.56048100192485 |
75 | 35 | 32.869158025595 | 2.13084197440502 |
76 | 33 | 31.1500473121319 | 1.84995268786814 |
77 | 27 | 30.7649049260412 | -3.7649049260412 |
78 | 33 | 33.1876869463218 | -0.187686946321788 |
79 | 31 | 32.7356648355595 | -1.73566483555955 |
80 | 39 | 32.3602053488056 | 6.63979465119439 |
81 | 37 | 35.2165715869814 | 1.78342841301861 |
82 | 24 | 29.9871638267288 | -5.98716382672884 |
83 | 33 | 30.9209726124634 | 2.07902738753661 |
84 | 28 | 35.4716450079331 | -7.47164500793313 |
85 | 37 | 28.6077533626948 | 8.39224663730519 |
86 | 32 | 31.3352448008458 | 0.66475519915422 |
87 | 31 | 32.0104514394469 | -1.01045143944690 |
88 | 29 | 32.5828596160113 | -3.58285961601133 |
89 | 40 | 38.7528673550541 | 1.24713264494592 |
90 | 29 | 29.1716996896170 | -0.171699689616964 |
91 | 40 | 30.3100179935782 | 9.68998200642178 |
92 | 15 | 29.0337767521738 | -14.0337767521738 |
93 | 27 | 27.5901142684238 | -0.590114268423799 |
94 | 32 | 31.1812723007638 | 0.81872769923623 |
95 | 28 | 33.1123184874276 | -5.1123184874276 |
96 | 41 | 40.7775885076136 | 0.222411492386357 |
97 | 47 | 32.8058070271051 | 14.1941929728949 |
98 | 42 | 35.0340018032231 | 6.96599819677691 |
99 | 28 | 29.6213603547313 | -1.6213603547313 |
100 | 32 | 30.2679697096561 | 1.73203029034387 |
101 | 33 | 34.2161762204633 | -1.21617622046331 |
102 | 22 | 29.4416553926737 | -7.44165539267374 |
103 | 29 | 33.139511373825 | -4.13951137382499 |
104 | 26 | 33.3846356361323 | -7.38463563613228 |
105 | 37 | 32.7982193141086 | 4.20178068589145 |
106 | 39 | 27.3534787403391 | 11.6465212596609 |
107 | 29 | 29.0446269320443 | -0.0446269320442908 |
108 | 33 | 31.7052386455237 | 1.29476135447632 |
109 | 39 | 34.3958811825209 | 4.60411881747913 |
110 | 31 | 27.6430127322164 | 3.3569872677836 |
111 | 21 | 27.6871562024787 | -6.68715620247868 |
112 | 36 | 33.5827516064766 | 2.41724839352343 |
113 | 29 | 34.3105904495626 | -5.31059044956257 |
114 | 32 | 40.4287625040613 | -8.42876250406132 |
115 | 15 | 36.6094307932789 | -21.6094307932789 |
116 | 24 | 30.0677585529717 | -6.06775855297167 |
117 | 25 | 33.6879115141612 | -8.68791151416115 |
118 | 28 | 29.2973389073481 | -1.29733890734813 |
119 | 39 | 33.34049216587 | 5.65950783412999 |
120 | 31 | 24.3314933022699 | 6.66850669773007 |
121 | 40 | 30.6343034422868 | 9.36569655771316 |
122 | 25 | 28.8327959601288 | -3.83279596012876 |
123 | 36 | 35.4564964665204 | 0.543503533479632 |
124 | 23 | 29.2456077240893 | -6.24560772408931 |
125 | 39 | 29.7309231252433 | 9.26907687475669 |
126 | 31 | 32.4992955667826 | -1.49929556678259 |
127 | 23 | 29.4296379322694 | -6.42963793226944 |
128 | 31 | 33.1347884825292 | -2.13478848252918 |
129 | 28 | 32.8735877730027 | -4.87358777300274 |
130 | 47 | 33.9663290668602 | 13.0336709331398 |
131 | 33 | 34.7862498359602 | -1.78624983596017 |
132 | 25 | 29.3514046516745 | -4.35140465167452 |
133 | 26 | 30.7970309358992 | -4.79703093589917 |
134 | 24 | 27.4104093063662 | -3.41040930636624 |
135 | 31 | 29.4869661434698 | 1.51303385653020 |
136 | 39 | 36.3969650594451 | 2.60303494055493 |
137 | 31 | 29.3738746467761 | 1.6261253532239 |
138 | 30 | 31.8396328567852 | -1.83963285678518 |
139 | 25 | 32.432415842111 | -7.43241584211101 |
140 | 35 | 34.7895123028341 | 0.210487697165861 |
141 | 44 | 32.1955140547186 | 11.8044859452814 |
142 | 42 | 36.9819209570470 | 5.01807904295304 |
143 | 38 | 40.2401699330135 | -2.2401699330135 |
144 | 36 | 29.1509272356823 | 6.84907276431766 |
145 | 34 | 35.2189330326293 | -1.21893303262929 |
146 | 45 | 33.0894777317331 | 11.9105222682669 |
147 | 40 | 34.6561808708213 | 5.34381912917875 |
148 | 29 | 30.7497563846284 | -1.74975638462844 |
149 | 25 | 26.7405603209793 | -1.74056032097927 |
150 | 30 | 32.6466082596744 | -2.64660825967445 |
151 | 27 | 34.3923524563392 | -7.39235245633918 |
152 | 44 | 33.763253088475 | 10.236746911525 |
153 | 49 | 36.4851206141041 | 12.5148793858959 |
154 | 31 | 29.1372391186914 | 1.86276088130859 |
155 | 31 | 37.2501791189368 | -6.25017911893679 |
156 | 26 | 29.5944606122220 | -3.59446061222196 |
157 | 42 | 32.9992269907339 | 9.0007730092661 |
158 | 35 | 33.8342963012466 | 1.16570369875338 |
159 | 47 | 35.8378461251039 | 11.1621538748961 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.181910788133424 | 0.363821576266847 | 0.818089211866576 |
9 | 0.30072607142964 | 0.60145214285928 | 0.69927392857036 |
10 | 0.178666271621447 | 0.357332543242894 | 0.821333728378553 |
11 | 0.153077344319954 | 0.306154688639908 | 0.846922655680046 |
12 | 0.391630753815655 | 0.78326150763131 | 0.608369246184346 |
13 | 0.346925888620869 | 0.693851777241738 | 0.653074111379131 |
14 | 0.284345175811855 | 0.568690351623709 | 0.715654824188145 |
15 | 0.237780899878409 | 0.475561799756818 | 0.762219100121591 |
16 | 0.275049143012596 | 0.550098286025191 | 0.724950856987404 |
17 | 0.207860942085214 | 0.415721884170427 | 0.792139057914786 |
18 | 0.247208745090777 | 0.494417490181555 | 0.752791254909223 |
19 | 0.190951267915260 | 0.381902535830519 | 0.80904873208474 |
20 | 0.358188574304207 | 0.716377148608414 | 0.641811425695793 |
21 | 0.482902556354582 | 0.965805112709163 | 0.517097443645418 |
22 | 0.667667513717628 | 0.664664972564743 | 0.332332486282371 |
23 | 0.737886061174369 | 0.524227877651263 | 0.262113938825631 |
24 | 0.893132537534067 | 0.213734924931866 | 0.106867462465933 |
25 | 0.859975951509263 | 0.280048096981474 | 0.140024048490737 |
26 | 0.879558940474799 | 0.240882119050402 | 0.120441059525201 |
27 | 0.85048017724193 | 0.299039645516140 | 0.149519822758070 |
28 | 0.816015226481998 | 0.367969547036004 | 0.183984773518002 |
29 | 0.775511344864049 | 0.448977310271902 | 0.224488655135951 |
30 | 0.735576276179786 | 0.528847447640428 | 0.264423723820214 |
31 | 0.73264209372168 | 0.534715812556639 | 0.267357906278319 |
32 | 0.683075118188959 | 0.633849763622082 | 0.316924881811041 |
33 | 0.710152845310168 | 0.579694309379664 | 0.289847154689832 |
34 | 0.67001298042705 | 0.6599740391459 | 0.32998701957295 |
35 | 0.689727717544381 | 0.620544564911237 | 0.310272282455619 |
36 | 0.879709302563428 | 0.240581394873145 | 0.120290697436572 |
37 | 0.90991321429975 | 0.180173571400499 | 0.0900867857002493 |
38 | 0.888293266151035 | 0.223413467697929 | 0.111706733848965 |
39 | 0.881329458736966 | 0.237341082526069 | 0.118670541263034 |
40 | 0.854835011727248 | 0.290329976545504 | 0.145164988272752 |
41 | 0.872464855360653 | 0.255070289278694 | 0.127535144639347 |
42 | 0.851295716263871 | 0.297408567472257 | 0.148704283736129 |
43 | 0.818737587771821 | 0.362524824456358 | 0.181262412228179 |
44 | 0.803592492456468 | 0.392815015087065 | 0.196407507543532 |
45 | 0.782209868574374 | 0.435580262851251 | 0.217790131425626 |
46 | 0.756132612415768 | 0.487734775168465 | 0.243867387584232 |
47 | 0.71853634255218 | 0.56292731489564 | 0.28146365744782 |
48 | 0.786618182269205 | 0.426763635461589 | 0.213381817730795 |
49 | 0.769604239968527 | 0.460791520062947 | 0.230395760031473 |
50 | 0.746573390896607 | 0.506853218206786 | 0.253426609103393 |
51 | 0.825537244835157 | 0.348925510329687 | 0.174462755164843 |
52 | 0.808921030453734 | 0.382157939092531 | 0.191078969546266 |
53 | 0.774679316149586 | 0.450641367700829 | 0.225320683850414 |
54 | 0.801072220104104 | 0.397855559791791 | 0.198927779895896 |
55 | 0.836072774453677 | 0.327854451092645 | 0.163927225546323 |
56 | 0.825995031352089 | 0.348009937295823 | 0.174004968647912 |
57 | 0.797838402117173 | 0.404323195765654 | 0.202161597882827 |
58 | 0.797517834882795 | 0.404964330234411 | 0.202482165117205 |
59 | 0.841058949444541 | 0.317882101110918 | 0.158941050555459 |
60 | 0.811222562353994 | 0.377554875292012 | 0.188777437646006 |
61 | 0.822920724192292 | 0.354158551615417 | 0.177079275807708 |
62 | 0.791728566695664 | 0.416542866608673 | 0.208271433304336 |
63 | 0.760949698315942 | 0.478100603368116 | 0.239050301684058 |
64 | 0.733442119410413 | 0.533115761179174 | 0.266557880589587 |
65 | 0.755792983221077 | 0.488414033557846 | 0.244207016778923 |
66 | 0.74254993581121 | 0.514900128377581 | 0.257450064188791 |
67 | 0.745233337840863 | 0.509533324318273 | 0.254766662159137 |
68 | 0.744942503688527 | 0.510114992622946 | 0.255057496311473 |
69 | 0.750129594824568 | 0.499740810350865 | 0.249870405175432 |
70 | 0.717584495284246 | 0.564831009431507 | 0.282415504715754 |
71 | 0.706358888487168 | 0.587282223025663 | 0.293641111512832 |
72 | 0.672116752722741 | 0.655766494554517 | 0.327883247277259 |
73 | 0.640897834394399 | 0.718204331211203 | 0.359102165605601 |
74 | 0.673276111791339 | 0.653447776417323 | 0.326723888208661 |
75 | 0.639030062478616 | 0.721939875042768 | 0.360969937521384 |
76 | 0.59818334858928 | 0.80363330282144 | 0.40181665141072 |
77 | 0.568897882811127 | 0.862204234377746 | 0.431102117188873 |
78 | 0.523262692086909 | 0.953474615826182 | 0.476737307913091 |
79 | 0.479606866757076 | 0.959213733514151 | 0.520393133242924 |
80 | 0.476587063759144 | 0.953174127518288 | 0.523412936240856 |
81 | 0.433725108681661 | 0.867450217363322 | 0.566274891318339 |
82 | 0.42220258815704 | 0.84440517631408 | 0.57779741184296 |
83 | 0.382564792880696 | 0.765129585761391 | 0.617435207119304 |
84 | 0.395644662374329 | 0.791289324748658 | 0.604355337625671 |
85 | 0.422569279513321 | 0.845138559026642 | 0.577430720486679 |
86 | 0.384514623426935 | 0.769029246853871 | 0.615485376573065 |
87 | 0.342262511565282 | 0.684525023130564 | 0.657737488434718 |
88 | 0.312078718950188 | 0.624157437900375 | 0.687921281049813 |
89 | 0.274205210509522 | 0.548410421019044 | 0.725794789490478 |
90 | 0.237321894261151 | 0.474643788522302 | 0.762678105738849 |
91 | 0.276625691540811 | 0.553251383081621 | 0.723374308459189 |
92 | 0.421292023527485 | 0.84258404705497 | 0.578707976472515 |
93 | 0.377568398288561 | 0.755136796577122 | 0.622431601711439 |
94 | 0.335429547390774 | 0.670859094781547 | 0.664570452609226 |
95 | 0.318787312617155 | 0.63757462523431 | 0.681212687382845 |
96 | 0.278766274474398 | 0.557532548948796 | 0.721233725525602 |
97 | 0.414860550005862 | 0.829721100011723 | 0.585139449994138 |
98 | 0.414076372395859 | 0.828152744791718 | 0.585923627604141 |
99 | 0.372084481334962 | 0.744168962669923 | 0.627915518665038 |
100 | 0.32948742895362 | 0.65897485790724 | 0.67051257104638 |
101 | 0.288750627893168 | 0.577501255786336 | 0.711249372106832 |
102 | 0.305077866790297 | 0.610155733580593 | 0.694922133209704 |
103 | 0.283743744634842 | 0.567487489269684 | 0.716256255365158 |
104 | 0.296415444057842 | 0.592830888115684 | 0.703584555942158 |
105 | 0.269953959357665 | 0.539907918715329 | 0.730046040642335 |
106 | 0.340661954440699 | 0.681323908881398 | 0.659338045559301 |
107 | 0.296712880325768 | 0.593425760651535 | 0.703287119674232 |
108 | 0.258105216447926 | 0.516210432895853 | 0.741894783552074 |
109 | 0.235312809993043 | 0.470625619986086 | 0.764687190006957 |
110 | 0.204783205139148 | 0.409566410278296 | 0.795216794860852 |
111 | 0.208169999478506 | 0.416339998957013 | 0.791830000521494 |
112 | 0.176506571881085 | 0.353013143762170 | 0.823493428118915 |
113 | 0.159758335153255 | 0.319516670306509 | 0.840241664846745 |
114 | 0.179845604628985 | 0.359691209257971 | 0.820154395371015 |
115 | 0.66445332962361 | 0.671093340752779 | 0.335546670376389 |
116 | 0.664951967779673 | 0.670096064440654 | 0.335048032220327 |
117 | 0.738678884139286 | 0.522642231721427 | 0.261321115860714 |
118 | 0.698440510109737 | 0.603118979780527 | 0.301559489890263 |
119 | 0.67609509818017 | 0.64780980363966 | 0.32390490181983 |
120 | 0.705357529260543 | 0.589284941478915 | 0.294642470739457 |
121 | 0.708840381020582 | 0.582319237958835 | 0.291159618979418 |
122 | 0.667336270884386 | 0.665327458231228 | 0.332663729115614 |
123 | 0.618634712072332 | 0.762730575855336 | 0.381365287927668 |
124 | 0.623623632775241 | 0.752752734449518 | 0.376376367224759 |
125 | 0.675254137754607 | 0.649491724490786 | 0.324745862245393 |
126 | 0.625543172194153 | 0.748913655611693 | 0.374456827805847 |
127 | 0.650968136496522 | 0.698063727006956 | 0.349031863503478 |
128 | 0.619684524153043 | 0.760630951693914 | 0.380315475846957 |
129 | 0.612943093829583 | 0.774113812340835 | 0.387056906170417 |
130 | 0.688564290690787 | 0.622871418618425 | 0.311435709309213 |
131 | 0.646606675071403 | 0.706786649857194 | 0.353393324928597 |
132 | 0.602786105107045 | 0.79442778978591 | 0.397213894892955 |
133 | 0.627119116349346 | 0.745761767301307 | 0.372880883650654 |
134 | 0.602358094537223 | 0.795283810925554 | 0.397641905462777 |
135 | 0.534130452179011 | 0.931739095641979 | 0.465869547820989 |
136 | 0.469333638678377 | 0.938667277356753 | 0.530666361321623 |
137 | 0.398707177069252 | 0.797414354138504 | 0.601292822930748 |
138 | 0.342238780372457 | 0.684477560744915 | 0.657761219627543 |
139 | 0.431360218786554 | 0.862720437573108 | 0.568639781213446 |
140 | 0.356853881088579 | 0.713707762177158 | 0.643146118911421 |
141 | 0.550323610246985 | 0.89935277950603 | 0.449676389753015 |
142 | 0.480866057571906 | 0.961732115143812 | 0.519133942428094 |
143 | 0.42784406515667 | 0.85568813031334 | 0.57215593484333 |
144 | 0.357278418437818 | 0.714556836875637 | 0.642721581562182 |
145 | 0.309094535786457 | 0.618189071572913 | 0.690905464213543 |
146 | 0.419622418631741 | 0.839244837263482 | 0.580377581368259 |
147 | 0.372954177166156 | 0.745908354332313 | 0.627045822833844 |
148 | 0.272396399956919 | 0.544792799913838 | 0.727603600043081 |
149 | 0.19316073537572 | 0.38632147075144 | 0.80683926462428 |
150 | 0.142050550908775 | 0.284101101817550 | 0.857949449091225 |
151 | 0.110888642878924 | 0.221777285757848 | 0.889111357121076 |
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 |