Multiple Linear Regression - Estimated Regression Equation |
ConcernoverMistakes[t] = -3.51982791979792 + 0.80219509259368Doubtsaboutactions[t] + 0.237772147402074ParentalExpectations[t] + 0.199799804513788ParentalCriticism[t] + 0.570049530182517PersonalStandards[t] -0.101186974696885Organization[t] + 0.0862460960673614Date[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) | -3.51982791979792 | 3.401621 | -1.0348 | 0.302429 | 0.151215 |
Doubtsaboutactions | 0.80219509259368 | 0.130535 | 6.1455 | 0 | 0 |
ParentalExpectations | 0.237772147402074 | 0.133375 | 1.7827 | 0.076625 | 0.038313 |
ParentalCriticism | 0.199799804513788 | 0.168579 | 1.1852 | 0.237789 | 0.118894 |
PersonalStandards | 0.570049530182517 | 0.095871 | 5.946 | 0 | 0 |
Organization | -0.101186974696885 | 0.103962 | -0.9733 | 0.331949 | 0.165974 |
Date | 0.0862460960673614 | 0.083643 | 1.0311 | 0.304123 | 0.152061 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.641321426439313 |
R-squared | 0.411293172010155 |
Adjusted R-squared | 0.388054744589504 |
F-TEST (value) | 17.6988384181558 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 1.77635683940025e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.47678556971189 |
Sum Squared Residuals | 3046.32457365145 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 23.8605681304310 | 0.139431869569033 |
2 | 25 | 20.5773054992593 | 4.42269450074065 |
3 | 17 | 21.5919252118305 | -4.59192521183048 |
4 | 18 | 18.7587659490315 | -0.758765949031489 |
5 | 18 | 18.3402261673098 | -0.340226167309837 |
6 | 16 | 18.6193930925681 | -2.61939309256809 |
7 | 20 | 19.9833641170271 | 0.0166358829728929 |
8 | 16 | 21.5350527757072 | -5.53505277570717 |
9 | 18 | 21.4631170122305 | -3.46311701223051 |
10 | 17 | 19.7527969893710 | -2.75279698937095 |
11 | 23 | 21.5550462588612 | 1.44495374113882 |
12 | 30 | 21.5221637962928 | 8.47783620370725 |
13 | 23 | 14.4395766693901 | 8.56042333060994 |
14 | 18 | 18.2893436363958 | -0.289343636395836 |
15 | 15 | 21.093204675671 | -6.093204675671 |
16 | 12 | 17.3890507676845 | -5.38905076768451 |
17 | 21 | 18.9316405154719 | 2.0683594845281 |
18 | 15 | 14.7405355653509 | 0.259464434649100 |
19 | 20 | 19.3135211903471 | 0.686478809652938 |
20 | 31 | 25.9869344890017 | 5.01306551099829 |
21 | 27 | 24.9479562095258 | 2.05204379047416 |
22 | 34 | 26.8614899533608 | 7.13851004663916 |
23 | 21 | 19.4533492895624 | 1.54665071043756 |
24 | 31 | 20.7418136607773 | 10.2581863392227 |
25 | 19 | 19.2071647172790 | -0.207164717278953 |
26 | 16 | 20.0663643229551 | -4.06636432295509 |
27 | 20 | 21.4092590623724 | -1.40925906237244 |
28 | 21 | 18.1128170000146 | 2.88718299998545 |
29 | 22 | 21.7775680678302 | 0.222431932169756 |
30 | 17 | 19.3247531517176 | -2.32475315171763 |
31 | 24 | 20.2788863970692 | 3.72111360293076 |
32 | 25 | 30.3059887280548 | -5.30598872805481 |
33 | 26 | 26.4144858541636 | -0.414485854163608 |
34 | 25 | 23.9827070686671 | 1.01729293133295 |
35 | 17 | 22.7877636948086 | -5.7877636948086 |
36 | 32 | 27.6758159974520 | 4.32418400254796 |
37 | 33 | 23.4995389030887 | 9.50046109691133 |
38 | 13 | 21.7534861717418 | -8.75348617174182 |
39 | 32 | 27.6404821493837 | 4.35951785061625 |
40 | 25 | 25.683712797888 | -0.68371279788799 |
41 | 29 | 26.8956778676034 | 2.10432213239659 |
42 | 22 | 21.8720733032086 | 0.127926696791388 |
43 | 18 | 17.0488177548642 | 0.951182245135789 |
44 | 17 | 21.5484183799576 | -4.54841837995761 |
45 | 20 | 22.1796756279301 | -2.17967562793008 |
46 | 15 | 20.3991668300307 | -5.39916683003065 |
47 | 20 | 22.0775609807837 | -2.07756098078366 |
48 | 33 | 28.0701944482734 | 4.92980555172664 |
49 | 29 | 22.0851703925517 | 6.91482960744828 |
50 | 23 | 26.4853856448168 | -3.48538564481679 |
51 | 26 | 23.1934506631822 | 2.8065493368178 |
52 | 18 | 18.9015902045311 | -0.901590204531086 |
53 | 20 | 18.7289878681547 | 1.27101213184529 |
54 | 11 | 11.6583714407624 | -0.658371440762435 |
55 | 28 | 28.8854522053579 | -0.885452205357942 |
56 | 26 | 23.3145842919689 | 2.68541570803107 |
57 | 22 | 22.3367181200141 | -0.336718120014052 |
58 | 17 | 20.1741084337227 | -3.17410843372266 |
59 | 12 | 15.5606877917405 | -3.56068779174054 |
60 | 14 | 20.8579280898601 | -6.85792808986007 |
61 | 17 | 20.7965977209629 | -3.7965977209629 |
62 | 21 | 21.3383525221142 | -0.338352522114174 |
63 | 19 | 22.9755667604299 | -3.97556676042985 |
64 | 18 | 23.1554764764262 | -5.1554764764262 |
65 | 10 | 17.9139477465805 | -7.91394774658054 |
66 | 29 | 24.3728840836821 | 4.62711591631793 |
67 | 31 | 18.5179185907852 | 12.4820814092148 |
68 | 19 | 22.9494665531863 | -3.94946655318628 |
69 | 9 | 20.0801867320795 | -11.0801867320795 |
70 | 20 | 22.5334654844169 | -2.53346548441691 |
71 | 28 | 17.6181658227022 | 10.3818341772978 |
72 | 19 | 18.1759070285753 | 0.824092971424678 |
73 | 30 | 23.1188757790198 | 6.88112422098022 |
74 | 29 | 27.0683251891763 | 1.93167481082375 |
75 | 26 | 21.4805642798103 | 4.51943572018973 |
76 | 23 | 19.6097888831676 | 3.39021111683237 |
77 | 13 | 22.8220434233118 | -9.82204342331182 |
78 | 21 | 22.7260613039473 | -1.7260613039473 |
79 | 19 | 21.6392875665233 | -2.63928756652331 |
80 | 28 | 22.9992171903515 | 5.0007828096485 |
81 | 23 | 25.6990668127033 | -2.69906681270327 |
82 | 18 | 13.9471529013589 | 4.05284709864114 |
83 | 21 | 20.7807147108777 | 0.219285289122339 |
84 | 20 | 21.9027736234381 | -1.90277362343807 |
85 | 23 | 20.1771559680962 | 2.82284403190378 |
86 | 21 | 20.9459579328325 | 0.0540420671674767 |
87 | 21 | 21.975599675296 | -0.975599675295992 |
88 | 15 | 23.0921517003760 | -8.09215170037595 |
89 | 28 | 27.3394723176941 | 0.660527682305897 |
90 | 19 | 17.7860865841737 | 1.21391341582635 |
91 | 26 | 21.3666501297757 | 4.63334987022435 |
92 | 10 | 13.4607608633575 | -3.46076086335755 |
93 | 16 | 17.2729916761398 | -1.27299167613976 |
94 | 22 | 21.2510378474756 | 0.748962152524445 |
95 | 19 | 19.018595030268 | -0.0185950302680159 |
96 | 31 | 28.9698430126146 | 2.03015698738542 |
97 | 31 | 25.34985126551 | 5.65014873449002 |
98 | 29 | 24.8985018896661 | 4.10149811033386 |
99 | 19 | 17.6401871178299 | 1.35981288217015 |
100 | 22 | 19.0823281117332 | 2.91767188826684 |
101 | 23 | 22.6053457170837 | 0.394654282916301 |
102 | 15 | 16.4060466583112 | -1.40604665831122 |
103 | 20 | 21.5500254970352 | -1.55002549703520 |
104 | 18 | 19.7596694968344 | -1.75966949683442 |
105 | 23 | 22.3433931097275 | 0.656606890272511 |
106 | 25 | 21.0508631423674 | 3.9491368576326 |
107 | 21 | 16.7671956292196 | 4.23280437078044 |
108 | 24 | 19.6545300571371 | 4.34546994286288 |
109 | 25 | 25.4438763617897 | -0.44387636178969 |
110 | 17 | 19.7412141857369 | -2.74121418573691 |
111 | 13 | 14.7601678538999 | -1.76016785389988 |
112 | 28 | 18.4845187133228 | 9.51548128667724 |
113 | 21 | 20.4453589568771 | 0.554641043122917 |
114 | 25 | 28.3572189470004 | -3.35721894700041 |
115 | 9 | 21.1498833511096 | -12.1498833511096 |
116 | 16 | 18.0827522300676 | -2.08275223006756 |
117 | 19 | 21.3209179157288 | -2.32091791572878 |
118 | 17 | 19.673934066056 | -2.67393406605600 |
119 | 25 | 24.7407158286715 | 0.259284171328542 |
120 | 20 | 15.6533374465301 | 4.34666255346995 |
121 | 29 | 21.9155264192287 | 7.08447358077128 |
122 | 14 | 19.1804626463191 | -5.18046264631912 |
123 | 22 | 27.1186267543289 | -5.11862675432893 |
124 | 15 | 15.9469104978874 | -0.946910497887429 |
125 | 19 | 25.678546178147 | -6.678546178147 |
126 | 20 | 22.2272585817625 | -2.22725858176251 |
127 | 15 | 17.8259316095974 | -2.82593160959743 |
128 | 20 | 22.2072133638070 | -2.20721336380696 |
129 | 18 | 20.6079859273857 | -2.60798592738574 |
130 | 33 | 25.8550846766499 | 7.14491532335009 |
131 | 22 | 24.0916528697276 | -2.09165286972755 |
132 | 16 | 16.7861339580460 | -0.78613395804597 |
133 | 17 | 19.4333742348957 | -2.43337423489572 |
134 | 16 | 15.4091483161622 | 0.590851683837825 |
135 | 21 | 17.3859551012459 | 3.61404489875412 |
136 | 26 | 27.8959994437931 | -1.89599944379313 |
137 | 18 | 21.4066502846375 | -3.40665028463755 |
138 | 18 | 23.2900346362305 | -5.29003463623053 |
139 | 17 | 18.730425396788 | -1.730425396788 |
140 | 22 | 25.0213323802660 | -3.02133238026604 |
141 | 30 | 24.9822483174777 | 5.01775168252226 |
142 | 30 | 27.6150922047366 | 2.38490779526337 |
143 | 24 | 30.0112772165830 | -6.01127721658304 |
144 | 21 | 22.3577310898782 | -1.35773108987824 |
145 | 21 | 25.6723342155531 | -4.67233421555315 |
146 | 29 | 27.7311117576891 | 1.26888824231090 |
147 | 31 | 23.5076142206065 | 7.49238577939346 |
148 | 20 | 19.2999966317396 | 0.700003368260428 |
149 | 16 | 14.3751323790397 | 1.62486762096026 |
150 | 22 | 19.2404678647110 | 2.75953213528904 |
151 | 20 | 20.7430797570986 | -0.743079757098599 |
152 | 28 | 27.6094235131795 | 0.390576486820503 |
153 | 38 | 26.9318217601358 | 11.0681782398642 |
154 | 22 | 19.5691561027094 | 2.43084389729058 |
155 | 20 | 26.0395296572432 | -6.03952965724324 |
156 | 17 | 18.4207011830354 | -1.42070118303538 |
157 | 28 | 24.9024186870491 | 3.09758131295087 |
158 | 22 | 24.5994327781874 | -2.59943277818742 |
159 | 31 | 26.5942778672080 | 4.40572213279196 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.104875860961637 | 0.209751721923273 | 0.895124139038363 |
11 | 0.34940967169086 | 0.69881934338172 | 0.65059032830914 |
12 | 0.749410771391836 | 0.501178457216328 | 0.250589228608164 |
13 | 0.743698316492561 | 0.512603367014878 | 0.256301683507439 |
14 | 0.722351872625248 | 0.555296254749504 | 0.277648127374752 |
15 | 0.708624255547002 | 0.582751488905997 | 0.291375744452998 |
16 | 0.629104121531489 | 0.741791756937022 | 0.370895878468511 |
17 | 0.563064841082566 | 0.873870317834868 | 0.436935158917434 |
18 | 0.529167620883208 | 0.941664758233584 | 0.470832379116792 |
19 | 0.470604239195674 | 0.941208478391349 | 0.529395760804326 |
20 | 0.498257092794899 | 0.996514185589797 | 0.501742907205101 |
21 | 0.430306539644020 | 0.860613079288041 | 0.56969346035598 |
22 | 0.414454498549501 | 0.828908997099001 | 0.585545501450499 |
23 | 0.373570729239994 | 0.747141458479988 | 0.626429270760006 |
24 | 0.534818444362889 | 0.930363111274222 | 0.465181555637111 |
25 | 0.485980238399543 | 0.971960476799085 | 0.514019761600457 |
26 | 0.494375830478694 | 0.988751660957388 | 0.505624169521306 |
27 | 0.426653481718109 | 0.853306963436218 | 0.573346518281891 |
28 | 0.369848668388682 | 0.739697336777363 | 0.630151331611319 |
29 | 0.307621284790943 | 0.615242569581887 | 0.692378715209057 |
30 | 0.263798869150315 | 0.52759773830063 | 0.736201130849685 |
31 | 0.263562075758299 | 0.527124151516599 | 0.7364379242417 |
32 | 0.364737702050325 | 0.72947540410065 | 0.635262297949675 |
33 | 0.313265314006366 | 0.626530628012732 | 0.686734685993634 |
34 | 0.286225679188757 | 0.572451358377513 | 0.713774320811243 |
35 | 0.312971664791115 | 0.625943329582229 | 0.687028335208886 |
36 | 0.283409702397035 | 0.566819404794071 | 0.716590297602965 |
37 | 0.407163716244752 | 0.814327432489503 | 0.592836283755248 |
38 | 0.678860573505525 | 0.642278852988951 | 0.321139426494475 |
39 | 0.670052271820665 | 0.65989545635867 | 0.329947728179335 |
40 | 0.628306208479315 | 0.74338758304137 | 0.371693791520685 |
41 | 0.597946309653346 | 0.804107380693309 | 0.402053690346654 |
42 | 0.545187415130207 | 0.909625169739585 | 0.454812584869793 |
43 | 0.49234703989226 | 0.98469407978452 | 0.50765296010774 |
44 | 0.475856924868257 | 0.951713849736513 | 0.524143075131743 |
45 | 0.465883270631937 | 0.931766541263873 | 0.534116729368063 |
46 | 0.519311810600384 | 0.96137637879923 | 0.480688189399615 |
47 | 0.485117083878377 | 0.970234167756754 | 0.514882916121623 |
48 | 0.469639010678557 | 0.939278021357114 | 0.530360989321443 |
49 | 0.519076882455218 | 0.961846235089563 | 0.480923117544782 |
50 | 0.494131212831006 | 0.988262425662012 | 0.505868787168994 |
51 | 0.461936166922320 | 0.923872333844641 | 0.53806383307768 |
52 | 0.41593350368167 | 0.83186700736334 | 0.58406649631833 |
53 | 0.371579913529704 | 0.743159827059408 | 0.628420086470296 |
54 | 0.335361470464077 | 0.670722940928154 | 0.664638529535923 |
55 | 0.299520345130029 | 0.599040690260058 | 0.700479654869971 |
56 | 0.271327781346132 | 0.542655562692264 | 0.728672218653868 |
57 | 0.23334897880275 | 0.4666979576055 | 0.76665102119725 |
58 | 0.212963418589005 | 0.425926837178011 | 0.787036581410995 |
59 | 0.202408814364788 | 0.404817628729576 | 0.797591185635212 |
60 | 0.267466772410046 | 0.534933544820093 | 0.732533227589954 |
61 | 0.263323059969605 | 0.52664611993921 | 0.736676940030395 |
62 | 0.225778013754529 | 0.451556027509057 | 0.774221986245471 |
63 | 0.215418492658594 | 0.430836985317189 | 0.784581507341406 |
64 | 0.259421545579777 | 0.518843091159555 | 0.740578454420223 |
65 | 0.34338743687107 | 0.68677487374214 | 0.65661256312893 |
66 | 0.341357755106034 | 0.682715510212068 | 0.658642244893966 |
67 | 0.655826530152335 | 0.68834693969533 | 0.344173469847665 |
68 | 0.65257593744701 | 0.69484812510598 | 0.34742406255299 |
69 | 0.843941766636264 | 0.312116466727472 | 0.156058233363736 |
70 | 0.82756140350472 | 0.344877192990561 | 0.172438596495281 |
71 | 0.925023739641174 | 0.149952520717651 | 0.0749762603588256 |
72 | 0.907326519981929 | 0.185346960036142 | 0.0926734800180708 |
73 | 0.9300845682394 | 0.139830863521200 | 0.0699154317606001 |
74 | 0.916700053336646 | 0.166599893326708 | 0.0832999466633541 |
75 | 0.918680587702693 | 0.162638824594613 | 0.0813194122973067 |
76 | 0.911663556907444 | 0.176672886185113 | 0.0883364430925563 |
77 | 0.965065523527598 | 0.0698689529448046 | 0.0349344764724023 |
78 | 0.956809688200234 | 0.0863806235995317 | 0.0431903117997659 |
79 | 0.949095686592199 | 0.101808626815602 | 0.0509043134078010 |
80 | 0.95118863831422 | 0.0976227233715599 | 0.0488113616857799 |
81 | 0.942927770792397 | 0.114144458415206 | 0.0570722292076029 |
82 | 0.941349407235624 | 0.117301185528753 | 0.0586505927643763 |
83 | 0.926267798024247 | 0.147464403951506 | 0.073732201975753 |
84 | 0.912227157981199 | 0.175545684037603 | 0.0877728420188013 |
85 | 0.901100563687248 | 0.197798872625504 | 0.0988994363127519 |
86 | 0.88235945831541 | 0.235281083369180 | 0.117640541684590 |
87 | 0.859112522168217 | 0.281774955663567 | 0.140887477831783 |
88 | 0.912439621615438 | 0.175120756769125 | 0.0875603783845623 |
89 | 0.894906191923514 | 0.210187616152971 | 0.105093808076486 |
90 | 0.872530684289875 | 0.254938631420250 | 0.127469315710125 |
91 | 0.871841376030771 | 0.256317247938458 | 0.128158623969229 |
92 | 0.862483317626455 | 0.27503336474709 | 0.137516682373545 |
93 | 0.83949109650125 | 0.321017806997499 | 0.160508903498749 |
94 | 0.809692761067682 | 0.380614477864636 | 0.190307238932318 |
95 | 0.775218955235317 | 0.449562089529365 | 0.224781044764683 |
96 | 0.742908564069756 | 0.514182871860489 | 0.257091435930244 |
97 | 0.762319264809298 | 0.475361470381405 | 0.237680735190702 |
98 | 0.763318814952038 | 0.473362370095925 | 0.236681185047962 |
99 | 0.726418510296056 | 0.547162979407888 | 0.273581489703944 |
100 | 0.701652233489789 | 0.596695533020422 | 0.298347766510211 |
101 | 0.660585645829766 | 0.678828708340468 | 0.339414354170234 |
102 | 0.620911834206296 | 0.758176331587407 | 0.379088165793704 |
103 | 0.580272096393637 | 0.839455807212725 | 0.419727903606363 |
104 | 0.537553618132743 | 0.924892763734513 | 0.462446381867257 |
105 | 0.494339969878799 | 0.988679939757598 | 0.505660030121201 |
106 | 0.475200765203759 | 0.950401530407518 | 0.524799234796241 |
107 | 0.473270375913097 | 0.946540751826194 | 0.526729624086903 |
108 | 0.495396829601417 | 0.990793659202834 | 0.504603170398583 |
109 | 0.450533881889866 | 0.901067763779732 | 0.549466118110134 |
110 | 0.416674277259048 | 0.833348554518095 | 0.583325722740952 |
111 | 0.373341416135789 | 0.746682832271578 | 0.626658583864211 |
112 | 0.674000732538492 | 0.651998534923016 | 0.325999267461508 |
113 | 0.691898795945881 | 0.616202408108237 | 0.308101204054119 |
114 | 0.666249568411289 | 0.667500863177422 | 0.333750431588711 |
115 | 0.838279721488251 | 0.323440557023497 | 0.161720278511749 |
116 | 0.809087812022828 | 0.381824375954344 | 0.190912187977172 |
117 | 0.78714791797743 | 0.425704164045141 | 0.212852082022570 |
118 | 0.755293697377946 | 0.489412605244108 | 0.244706302622054 |
119 | 0.720368927327897 | 0.559262145344207 | 0.279631072672103 |
120 | 0.753370661005152 | 0.493258677989696 | 0.246629338994848 |
121 | 0.812879244176 | 0.374241511648001 | 0.187120755824000 |
122 | 0.79518862017221 | 0.409622759655579 | 0.204811379827789 |
123 | 0.778472181953462 | 0.443055636093077 | 0.221527818046538 |
124 | 0.73250509500467 | 0.53498980999066 | 0.26749490499533 |
125 | 0.736054515127971 | 0.527890969744058 | 0.263945484872029 |
126 | 0.701974856857941 | 0.596050286284118 | 0.298025143142059 |
127 | 0.69545539882499 | 0.60908920235002 | 0.30454460117501 |
128 | 0.65874521595997 | 0.682509568080061 | 0.341254784040031 |
129 | 0.625226489942138 | 0.749547020115723 | 0.374773510057861 |
130 | 0.701301493824572 | 0.597397012350855 | 0.298698506175428 |
131 | 0.645443579606505 | 0.70911284078699 | 0.354556420393495 |
132 | 0.58019535200714 | 0.83960929598572 | 0.41980464799286 |
133 | 0.577698633943808 | 0.844602732112385 | 0.422301366056192 |
134 | 0.514928430229753 | 0.970143139540494 | 0.485071569770247 |
135 | 0.489482972573236 | 0.978965945146472 | 0.510517027426764 |
136 | 0.450268063486699 | 0.900536126973399 | 0.549731936513301 |
137 | 0.439752964226314 | 0.879505928452627 | 0.560247035773686 |
138 | 0.480192110179667 | 0.960384220359334 | 0.519807889820333 |
139 | 0.407558378835399 | 0.815116757670798 | 0.592441621164601 |
140 | 0.333408898503180 | 0.666817797006359 | 0.66659110149682 |
141 | 0.434247790121972 | 0.868495580243944 | 0.565752209878028 |
142 | 0.378465786854592 | 0.756931573709185 | 0.621534213145408 |
143 | 0.304279193041291 | 0.608558386082582 | 0.695720806958709 |
144 | 0.228441287501421 | 0.456882575002841 | 0.771558712498579 |
145 | 0.280438595658607 | 0.560877191317214 | 0.719561404341393 |
146 | 0.194202304924582 | 0.388404609849165 | 0.805797695075418 |
147 | 0.240947244665844 | 0.481894489331687 | 0.759052755334156 |
148 | 0.149146966389850 | 0.298293932779699 | 0.85085303361015 |
149 | 0.0797275456702617 | 0.159455091340523 | 0.920272454329738 |
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 | 3 | 0.0214285714285714 | OK |