Multiple Linear Regression - Estimated Regression Equation |
PersonalStandards[t] = + 22.4503451046679 -1.49932963098333month[t] + 0.330887218059848ConcernoverMistakes[t] -0.356681047835005Doubtsaboutactions[t] + 0.198030325271138ParentalExpectations[t] + 0.00613248856872827ParentalCriticism[t] + 0.393045515742641`Organization `[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) | 22.4503451046679 | 14.596982 | 1.538 | 0.126125 | 0.063062 |
month | -1.49932963098333 | 1.442617 | -1.0393 | 0.30031 | 0.150155 |
ConcernoverMistakes | 0.330887218059848 | 0.055592 | 5.9521 | 0 | 0 |
Doubtsaboutactions | -0.356681047835005 | 0.107249 | -3.3257 | 0.001106 | 0.000553 |
ParentalExpectations | 0.198030325271138 | 0.101714 | 1.9469 | 0.053385 | 0.026693 |
ParentalCriticism | 0.00613248856872827 | 0.129654 | 0.0473 | 0.962337 | 0.481169 |
`Organization ` | 0.393045515742641 | 0.072189 | 5.4447 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.60953344822544 |
R-squared | 0.371531024505596 |
Adjusted R-squared | 0.346723038630816 |
F-TEST (value) | 14.9762671738422 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 2.02393657389166e-13 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.40838004054157 |
Sum Squared Residuals | 1765.79228411584 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 24.3752438396802 | -0.375243839680221 |
2 | 25 | 23.7803863986577 | 1.21961360134235 |
3 | 30 | 25.6830881775506 | 4.31691182244943 |
4 | 19 | 21.7015858002171 | -2.70158580021713 |
5 | 22 | 21.9583210676976 | 0.0416789323024097 |
6 | 22 | 24.5013747161968 | -2.50137471619684 |
7 | 25 | 22.536984103505 | 2.46301589649499 |
8 | 23 | 19.3274995404412 | 3.67250045955885 |
9 | 17 | 18.7724146241247 | -1.77241462412469 |
10 | 21 | 21.6020995177389 | -0.60209951773893 |
11 | 19 | 22.7097079828001 | -3.70970798280015 |
12 | 19 | 23.4081221360031 | -4.40812213600306 |
13 | 15 | 23.100666237539 | -8.10066623753901 |
14 | 16 | 17.0578920432927 | -1.05789204329267 |
15 | 23 | 19.3712603724178 | 3.62873962758224 |
16 | 27 | 24.0012304943487 | 2.99876950565126 |
17 | 22 | 20.893926582988 | 1.10607341701197 |
18 | 14 | 16.5108483584964 | -2.51084835849636 |
19 | 22 | 24.0638801007654 | -2.0638801007654 |
20 | 23 | 24.015901103718 | -1.01590110371805 |
21 | 23 | 21.528269770622 | 1.471730229378 |
22 | 21 | 24.4932309874987 | -3.49323098749872 |
23 | 19 | 22.3016536793613 | -3.30165367936127 |
24 | 18 | 23.7904279083418 | -5.79042790834182 |
25 | 20 | 23.053082339113 | -3.053082339113 |
26 | 23 | 22.3565355551212 | 0.643464444878811 |
27 | 25 | 23.3050059138194 | 1.69499408618061 |
28 | 19 | 23.2582299470431 | -4.25822994704315 |
29 | 24 | 23.7901626251738 | 0.209837374826231 |
30 | 22 | 21.5232380933549 | 0.476761906645071 |
31 | 25 | 25.0489193653102 | -0.0489193653101529 |
32 | 26 | 23.1180905307743 | 2.88190946922571 |
33 | 29 | 22.8066525192973 | 6.19334748070269 |
34 | 32 | 25.1212100804516 | 6.87878991954841 |
35 | 25 | 21.5476658286604 | 3.45233417133961 |
36 | 29 | 24.376794275551 | 4.62320572444902 |
37 | 28 | 24.9189046698153 | 3.08109533018471 |
38 | 17 | 17.105713556688 | -0.105713556687993 |
39 | 28 | 26.0504042627731 | 1.94959573722695 |
40 | 29 | 22.9083948576263 | 6.09160514237371 |
41 | 26 | 27.4764796617272 | -1.47647966172717 |
42 | 25 | 23.3941019746315 | 1.60589802536851 |
43 | 14 | 19.5474967968037 | -5.54749679680366 |
44 | 25 | 22.1111965805996 | 2.88880341940038 |
45 | 26 | 21.5773927010235 | 4.42260729897649 |
46 | 20 | 20.1937158718107 | -0.19371587181068 |
47 | 18 | 21.3481003036481 | -3.34810030364814 |
48 | 32 | 24.6349525577956 | 7.36504744220444 |
49 | 25 | 24.9514383141044 | 0.0485616858955817 |
50 | 25 | 21.737318920707 | 3.26268107929301 |
51 | 23 | 20.8009936574846 | 2.1990063425154 |
52 | 21 | 22.0614054790237 | -1.06140547902374 |
53 | 20 | 23.938680930279 | -3.93868093027899 |
54 | 15 | 16.4581620642669 | -1.45816206426694 |
55 | 30 | 26.6047304105651 | 3.39526958943494 |
56 | 24 | 25.2470066108757 | -1.24700661087571 |
57 | 26 | 24.207409850656 | 1.79259014934395 |
58 | 24 | 21.6849039507184 | 2.31509604928157 |
59 | 22 | 21.3469447486746 | 0.653055251325381 |
60 | 14 | 15.6514365191043 | -1.65143651910432 |
61 | 24 | 22.1296962652753 | 1.87030373472474 |
62 | 24 | 22.883151433502 | 1.11684856649804 |
63 | 24 | 23.2843597785227 | 0.715640221477318 |
64 | 24 | 19.8486924751679 | 4.15130752483211 |
65 | 19 | 18.44815337999 | 0.551846620010017 |
66 | 31 | 26.7335874349483 | 4.2664125650517 |
67 | 22 | 26.5215900363656 | -4.52159003636563 |
68 | 27 | 21.4111864751268 | 5.5888135248732 |
69 | 19 | 17.641416213208 | 1.35858378679201 |
70 | 25 | 22.2048330099449 | 2.79516699005507 |
71 | 20 | 24.9347351874032 | -4.93473518740321 |
72 | 21 | 21.3990237169588 | -0.3990237169588 |
73 | 27 | 27.4183665916093 | -0.418366591609338 |
74 | 23 | 24.3746124922624 | -1.37461249226241 |
75 | 25 | 25.6833747379211 | -0.68337473792112 |
76 | 20 | 22.18002397426 | -2.18002397426005 |
77 | 21 | 19.2023750134258 | 1.79762498657421 |
78 | 22 | 22.3862171288093 | -0.38621712880927 |
79 | 23 | 22.8914164817495 | 0.108583518250502 |
80 | 25 | 24.0565898806006 | 0.943410119399394 |
81 | 25 | 23.3218681797845 | 1.67813182021553 |
82 | 17 | 23.7195093287429 | -6.7195093287429 |
83 | 19 | 21.3959632834841 | -2.39596328348412 |
84 | 25 | 23.8842472412004 | 1.11575275879955 |
85 | 19 | 22.3010541105851 | -3.30105411058514 |
86 | 20 | 23.1266938500491 | -3.1266938500491 |
87 | 26 | 22.480958294391 | 3.51904170560905 |
88 | 23 | 20.656475188569 | 2.34352481143104 |
89 | 27 | 24.3430597171288 | 2.65694028287116 |
90 | 17 | 20.8503426134519 | -3.85034261345193 |
91 | 17 | 23.3211586348698 | -6.32115863486977 |
92 | 19 | 20.036645647663 | -1.03664564766296 |
93 | 17 | 19.6807349899718 | -2.68073498997179 |
94 | 22 | 22.0379172391335 | -0.0379172391335173 |
95 | 21 | 23.3856638961778 | -2.38566389617783 |
96 | 32 | 28.5991521791672 | 3.4008478208328 |
97 | 21 | 24.6614106338104 | -3.66141063381037 |
98 | 21 | 24.3080160450159 | -3.30801604501586 |
99 | 18 | 21.2070236612869 | -3.20702366128693 |
100 | 18 | 21.2610760499861 | -3.26107604998606 |
101 | 23 | 22.7863799272109 | 0.213620072789081 |
102 | 19 | 20.5907043961488 | -1.59070439614882 |
103 | 20 | 20.9772930432377 | -0.977293043237729 |
104 | 21 | 22.2383514483243 | -1.23835144832433 |
105 | 20 | 23.7118985607275 | -3.71189856072747 |
106 | 17 | 18.8403733336066 | -1.84037333360655 |
107 | 18 | 20.2572364317288 | -2.25723643172879 |
108 | 19 | 20.7196144481076 | -1.71961444810765 |
109 | 22 | 22.0275626605593 | -0.0275626605593229 |
110 | 15 | 18.7557114974235 | -3.75571149742348 |
111 | 14 | 18.7922903692776 | -4.79229036927757 |
112 | 18 | 26.5436099628167 | -8.54360996281669 |
113 | 24 | 21.2628726079605 | 2.73712739203951 |
114 | 35 | 23.5462389082472 | 11.4537610917528 |
115 | 29 | 18.9866943088691 | 10.0133056911309 |
116 | 21 | 21.935944950304 | -0.935944950303999 |
117 | 25 | 20.5220323095179 | 4.47796769048212 |
118 | 20 | 18.4455726336298 | 1.5544273663702 |
119 | 22 | 23.1944342306498 | -1.19443423064979 |
120 | 13 | 16.8696658909449 | -3.8696658909449 |
121 | 26 | 23.1870301698962 | 2.81296983010383 |
122 | 17 | 16.8739978966045 | 0.126002103395524 |
123 | 25 | 20.0507796496234 | 4.94922035037664 |
124 | 20 | 20.6180234596576 | -0.618023459657552 |
125 | 19 | 18.0635928969879 | 0.936407103012113 |
126 | 21 | 22.6069239300865 | -1.60692393008647 |
127 | 22 | 21.004834267862 | 0.995165732137992 |
128 | 24 | 22.5978785256876 | 1.40212147431243 |
129 | 21 | 22.893008601785 | -1.89300860178502 |
130 | 26 | 25.4363237012179 | 0.563676298782067 |
131 | 24 | 20.5297469521146 | 3.47025304788541 |
132 | 16 | 20.2204944956761 | -4.22049449567612 |
133 | 23 | 22.3001815014718 | 0.699818498528152 |
134 | 18 | 20.7446456449081 | -2.74464564490808 |
135 | 16 | 22.3043405696256 | -6.30434056962563 |
136 | 26 | 24.0921955799838 | 1.90780442001622 |
137 | 19 | 19.0502342475757 | -0.050234247575695 |
138 | 21 | 16.8720244761895 | 4.12797552381046 |
139 | 21 | 22.0933317973676 | -1.09333179736762 |
140 | 22 | 18.451482961083 | 3.54851703891702 |
141 | 23 | 19.7302332118958 | 3.26976678810421 |
142 | 29 | 24.7822738737025 | 4.21772612629751 |
143 | 21 | 19.2106400938892 | 1.78935990611078 |
144 | 21 | 19.9054317541314 | 1.09456824586863 |
145 | 23 | 21.8498010024399 | 1.15019899756015 |
146 | 27 | 22.9941022404284 | 4.00589775957157 |
147 | 25 | 25.393995850013 | -0.393995850012975 |
148 | 21 | 20.946835038333 | 0.0531649616669982 |
149 | 10 | 17.0822628583037 | -7.08226285830372 |
150 | 20 | 22.5777789638073 | -2.5777789638073 |
151 | 26 | 22.4585531426257 | 3.54144685737425 |
152 | 24 | 23.6656316258617 | 0.334368374138266 |
153 | 29 | 31.7071557621354 | -2.70715576213541 |
154 | 19 | 19.0522038357563 | -0.052203835756255 |
155 | 24 | 22.0525408015156 | 1.94745919848439 |
156 | 19 | 20.7371470618696 | -1.73714706186965 |
157 | 24 | 23.3888420951761 | 0.611157904823948 |
158 | 22 | 21.7784950813887 | 0.221504918611303 |
159 | 17 | 23.729262101434 | -6.72926210143395 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.167714889966933 | 0.335429779933866 | 0.832285110033067 |
11 | 0.476210991442604 | 0.952421982885208 | 0.523789008557396 |
12 | 0.405776124415939 | 0.811552248831878 | 0.594223875584061 |
13 | 0.830643149947592 | 0.338713700104816 | 0.169356850052408 |
14 | 0.753480229424358 | 0.493039541151284 | 0.246519770575642 |
15 | 0.7354879303151 | 0.5290241393698 | 0.2645120696849 |
16 | 0.653774398960162 | 0.692451202079675 | 0.346225601039838 |
17 | 0.593366635761728 | 0.813266728476544 | 0.406633364238272 |
18 | 0.57694920061054 | 0.84610159877892 | 0.42305079938946 |
19 | 0.500266958164621 | 0.999466083670759 | 0.499733041835379 |
20 | 0.496535965699452 | 0.993071931398904 | 0.503464034300548 |
21 | 0.492737994079345 | 0.985475988158691 | 0.507262005920655 |
22 | 0.422900668072016 | 0.845801336144033 | 0.577099331927984 |
23 | 0.362242801923997 | 0.724485603847993 | 0.637757198076003 |
24 | 0.38040300826903 | 0.760806016538059 | 0.61959699173097 |
25 | 0.349260129619774 | 0.698520259239548 | 0.650739870380226 |
26 | 0.288300058994306 | 0.576600117988612 | 0.711699941005694 |
27 | 0.247644327088459 | 0.495288654176918 | 0.752355672911541 |
28 | 0.239279245221543 | 0.478558490443086 | 0.760720754778457 |
29 | 0.197924209740586 | 0.395848419481172 | 0.802075790259414 |
30 | 0.154172407490281 | 0.308344814980562 | 0.845827592509719 |
31 | 0.126005235524187 | 0.252010471048374 | 0.873994764475813 |
32 | 0.161026065024854 | 0.322052130049709 | 0.838973934975146 |
33 | 0.269830637476093 | 0.539661274952186 | 0.730169362523907 |
34 | 0.548348511466785 | 0.903302977066431 | 0.451651488533216 |
35 | 0.527129136516389 | 0.945741726967222 | 0.472870863483611 |
36 | 0.604261593763199 | 0.791476812473601 | 0.395738406236801 |
37 | 0.599699991500923 | 0.800600016998155 | 0.400300008499077 |
38 | 0.552943250244733 | 0.894113499510535 | 0.447056749755267 |
39 | 0.52071143020134 | 0.95857713959732 | 0.47928856979866 |
40 | 0.614437594640559 | 0.771124810718882 | 0.385562405359441 |
41 | 0.579743712412594 | 0.840512575174811 | 0.420256287587406 |
42 | 0.536281424959442 | 0.927437150081116 | 0.463718575040558 |
43 | 0.624380021332456 | 0.751239957335087 | 0.375619978667544 |
44 | 0.59512318417371 | 0.809753631652581 | 0.40487681582629 |
45 | 0.630094268326732 | 0.739811463346536 | 0.369905731673268 |
46 | 0.578866952807933 | 0.842266094384133 | 0.421133047192067 |
47 | 0.565302863105698 | 0.869394273788603 | 0.434697136894302 |
48 | 0.680914670410683 | 0.638170659178634 | 0.319085329589317 |
49 | 0.637465490086387 | 0.725069019827226 | 0.362534509913613 |
50 | 0.623632942998633 | 0.752734114002734 | 0.376367057001367 |
51 | 0.583966517586341 | 0.832066964827318 | 0.416033482413659 |
52 | 0.539257650179661 | 0.921484699640678 | 0.460742349820339 |
53 | 0.564890851254892 | 0.870218297490216 | 0.435109148745108 |
54 | 0.527002278865878 | 0.945995442268243 | 0.472997721134122 |
55 | 0.590216030731093 | 0.819567938537815 | 0.409783969268907 |
56 | 0.552954559757483 | 0.894090880485034 | 0.447045440242517 |
57 | 0.51468461560354 | 0.970630768792921 | 0.48531538439646 |
58 | 0.483846996379701 | 0.967693992759403 | 0.516153003620299 |
59 | 0.436800024657377 | 0.873600049314755 | 0.563199975342623 |
60 | 0.39552301063459 | 0.791046021269179 | 0.60447698936541 |
61 | 0.366785627756046 | 0.733571255512091 | 0.633214372243954 |
62 | 0.327325950492419 | 0.654651900984838 | 0.672674049507581 |
63 | 0.287269697402832 | 0.574539394805663 | 0.712730302597168 |
64 | 0.327904537198601 | 0.655809074397202 | 0.672095462801399 |
65 | 0.287124497834106 | 0.574248995668213 | 0.712875502165894 |
66 | 0.301395022534725 | 0.60279004506945 | 0.698604977465275 |
67 | 0.358424453674013 | 0.716848907348027 | 0.641575546325987 |
68 | 0.437598741919297 | 0.875197483838595 | 0.562401258080703 |
69 | 0.400053505849954 | 0.800107011699909 | 0.599946494150046 |
70 | 0.385556170704761 | 0.771112341409523 | 0.614443829295239 |
71 | 0.449792591315251 | 0.899585182630501 | 0.550207408684749 |
72 | 0.403910549032159 | 0.807821098064317 | 0.596089450967841 |
73 | 0.362437469142518 | 0.724874938285035 | 0.637562530857482 |
74 | 0.327384315881739 | 0.654768631763477 | 0.672615684118261 |
75 | 0.295795624677825 | 0.591591249355649 | 0.704204375322175 |
76 | 0.271636437346598 | 0.543272874693196 | 0.728363562653402 |
77 | 0.249547904307034 | 0.499095808614067 | 0.750452095692966 |
78 | 0.214465001125081 | 0.428930002250162 | 0.785534998874919 |
79 | 0.182827529312923 | 0.365655058625847 | 0.817172470687077 |
80 | 0.157191698452155 | 0.314383396904311 | 0.842808301547845 |
81 | 0.137699547974615 | 0.27539909594923 | 0.862300452025385 |
82 | 0.221313054921494 | 0.442626109842989 | 0.778686945078506 |
83 | 0.203279956975707 | 0.406559913951415 | 0.796720043024293 |
84 | 0.176281758004978 | 0.352563516009957 | 0.823718241995022 |
85 | 0.176867198607589 | 0.353734397215178 | 0.823132801392411 |
86 | 0.172691264466091 | 0.345382528932182 | 0.827308735533909 |
87 | 0.179798783239273 | 0.359597566478546 | 0.820201216760727 |
88 | 0.168630293967603 | 0.337260587935207 | 0.831369706032397 |
89 | 0.158619798245148 | 0.317239596490296 | 0.841380201754852 |
90 | 0.162288626205744 | 0.324577252411488 | 0.837711373794256 |
91 | 0.234836173026184 | 0.469672346052368 | 0.765163826973816 |
92 | 0.20139934095589 | 0.40279868191178 | 0.79860065904411 |
93 | 0.184757199150368 | 0.369514398300736 | 0.815242800849632 |
94 | 0.155997893454412 | 0.311995786908823 | 0.844002106545588 |
95 | 0.140973320796948 | 0.281946641593896 | 0.859026679203052 |
96 | 0.144329651570416 | 0.288659303140833 | 0.855670348429584 |
97 | 0.14577415941426 | 0.29154831882852 | 0.85422584058574 |
98 | 0.141811927130382 | 0.283623854260764 | 0.858188072869618 |
99 | 0.134598310814224 | 0.269196621628449 | 0.865401689185776 |
100 | 0.129416485832775 | 0.258832971665549 | 0.870583514167225 |
101 | 0.105746053067436 | 0.211492106134872 | 0.894253946932564 |
102 | 0.0875952675229616 | 0.175190535045923 | 0.912404732477038 |
103 | 0.0701683379098855 | 0.140336675819771 | 0.929831662090115 |
104 | 0.0564409748891373 | 0.112881949778275 | 0.943559025110863 |
105 | 0.0596509851692637 | 0.119301970338527 | 0.940349014830736 |
106 | 0.0487286338811895 | 0.0974572677623791 | 0.95127136611881 |
107 | 0.0425851102931948 | 0.0851702205863896 | 0.957414889706805 |
108 | 0.0369451247293548 | 0.0738902494587096 | 0.963054875270645 |
109 | 0.028094480523947 | 0.0561889610478939 | 0.971905519476053 |
110 | 0.0276120326923325 | 0.0552240653846651 | 0.972387967307668 |
111 | 0.0347623099698407 | 0.0695246199396814 | 0.965237690030159 |
112 | 0.148031913163636 | 0.296063826327273 | 0.851968086836364 |
113 | 0.136114951998962 | 0.272229903997924 | 0.863885048001038 |
114 | 0.549103563368247 | 0.901792873263506 | 0.450896436631753 |
115 | 0.850962456133838 | 0.298075087732324 | 0.149037543866162 |
116 | 0.817546776560484 | 0.364906446879033 | 0.182453223439516 |
117 | 0.872513350277216 | 0.254973299445567 | 0.127486649722784 |
118 | 0.847454888396847 | 0.305090223206306 | 0.152545111603153 |
119 | 0.818754231632926 | 0.362491536734148 | 0.181245768367074 |
120 | 0.852182839569345 | 0.295634320861311 | 0.147817160430655 |
121 | 0.828843023539678 | 0.342313952920645 | 0.171156976460322 |
122 | 0.788417255940559 | 0.423165488118882 | 0.211582744059441 |
123 | 0.819781614122326 | 0.360436771755349 | 0.180218385877674 |
124 | 0.777004047153697 | 0.445991905692606 | 0.222995952846303 |
125 | 0.737437204360765 | 0.525125591278471 | 0.262562795639235 |
126 | 0.688549078928199 | 0.622901842143601 | 0.311450921071801 |
127 | 0.651568356838168 | 0.696863286323665 | 0.348431643161832 |
128 | 0.609273687051868 | 0.781452625896264 | 0.390726312948132 |
129 | 0.550292312697758 | 0.899415374604484 | 0.449707687302242 |
130 | 0.487014672794253 | 0.974029345588507 | 0.512985327205747 |
131 | 0.484712723736007 | 0.969425447472014 | 0.515287276263993 |
132 | 0.48259710918847 | 0.96519421837694 | 0.51740289081153 |
133 | 0.432056864620903 | 0.864113729241806 | 0.567943135379097 |
134 | 0.383808125714437 | 0.767616251428874 | 0.616191874285563 |
135 | 0.531448566370668 | 0.937102867258664 | 0.468551433629332 |
136 | 0.492168817469643 | 0.984337634939286 | 0.507831182530357 |
137 | 0.418692563784427 | 0.837385127568855 | 0.581307436215573 |
138 | 0.428167527188233 | 0.856335054376467 | 0.571832472811767 |
139 | 0.356583342636537 | 0.713166685273073 | 0.643416657363463 |
140 | 0.320359437679116 | 0.640718875358233 | 0.679640562320884 |
141 | 0.285913182586271 | 0.571826365172542 | 0.714086817413729 |
142 | 0.336504411054372 | 0.673008822108745 | 0.663495588945628 |
143 | 0.478094113575688 | 0.956188227151376 | 0.521905886424312 |
144 | 0.40099275057969 | 0.801985501159381 | 0.59900724942031 |
145 | 0.319884142938734 | 0.639768285877468 | 0.680115857061266 |
146 | 0.3079444732906 | 0.6158889465812 | 0.6920555267094 |
147 | 0.25474241968106 | 0.50948483936212 | 0.74525758031894 |
148 | 0.159091561128108 | 0.318183122256215 | 0.840908438871892 |
149 | 0.304106957247094 | 0.608213914494188 | 0.695893042752906 |
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 | 6 | 0.0428571428571429 | OK |