Multiple Linear Regression - Estimated Regression Equation |
Confidence[t] = + 12.3256161875859 + 0.00618479983854838Concern[t] -0.278785234171933Doubts[t] + 0.103632621238310ParentalExpectations[t] + 0.0086704709418611ParentalCriticism[t] + 0.0271802218699456PersonalStandards[t] + 0.157965607370892Organization[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) | 12.3256161875859 | 1.462481 | 8.4279 | 0 | 0 |
Concern | 0.00618479983854838 | 0.037772 | 0.1637 | 0.870167 | 0.435083 |
Doubts | -0.278785234171933 | 0.069179 | -4.0299 | 9e-05 | 4.5e-05 |
ParentalExpectations | 0.103632621238310 | 0.06296 | 1.646 | 0.101959 | 0.05098 |
ParentalCriticism | 0.0086704709418611 | 0.079066 | 0.1097 | 0.912831 | 0.456416 |
PersonalStandards | 0.0271802218699456 | 0.049093 | 0.5536 | 0.580686 | 0.290343 |
Organization | 0.157965607370892 | 0.049734 | 3.1762 | 0.001828 | 0.000914 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.455226373457424 |
R-squared | 0.207231051091198 |
Adjusted R-squared | 0.173968018269849 |
F-TEST (value) | 6.23007084784512 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 143 |
p-value | 7.8201096992414e-06 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.06577475960640 |
Sum Squared Residuals | 610.241826112041 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 16.2125117510879 | -3.21251175108787 |
2 | 16 | 16.0174373446854 | -0.0174373446853516 |
3 | 19 | 15.3437046665463 | 3.65629533345371 |
4 | 15 | 13.8424946472814 | 1.15750535271862 |
5 | 14 | 14.4968939387603 | -0.49689393876028 |
6 | 13 | 15.1275978258265 | -2.12759782582654 |
7 | 19 | 14.9601303114003 | 4.03986968859972 |
8 | 15 | 15.9585418323419 | -0.958541832341931 |
9 | 14 | 15.7942201285788 | -1.79422012857883 |
10 | 15 | 14.5423133055141 | 0.457686694485855 |
11 | 16 | 14.7235999822014 | 1.27640001779863 |
12 | 16 | 14.5356922808908 | 1.46430771910921 |
13 | 16 | 14.5744937067496 | 1.42550629325035 |
14 | 17 | 17.3537115487665 | -0.353711548766472 |
15 | 15 | 12.2227413673804 | 2.77725863261955 |
16 | 15 | 15.9743051491855 | -0.974305149185507 |
17 | 20 | 16.9866962296499 | 3.01330377035011 |
18 | 18 | 16.9038198417627 | 1.09618015823732 |
19 | 16 | 17.1002083961413 | -1.10020839614133 |
20 | 16 | 14.3568865185428 | 1.64311348145717 |
21 | 19 | 14.5211052401406 | 4.47889475985942 |
22 | 16 | 14.5216474996781 | 1.47835250032195 |
23 | 17 | 15.9997279859503 | 1.00027201404970 |
24 | 17 | 14.9861488178315 | 2.01385118216853 |
25 | 16 | 14.6614616755976 | 1.33853832440245 |
26 | 15 | 13.1411156442818 | 1.85888435571818 |
27 | 14 | 15.6792869836532 | -1.67928698365319 |
28 | 15 | 16.1262249977494 | -1.12622499774941 |
29 | 12 | 14.7061596807064 | -2.70615968070645 |
30 | 14 | 14.8538516567355 | -0.853851656735453 |
31 | 16 | 15.1314407935081 | 0.86855920649187 |
32 | 14 | 15.6027899356973 | -1.60278993569727 |
33 | 7 | 14.163329650608 | -7.16332965060799 |
34 | 10 | 12.9950219065064 | -2.99502190650639 |
35 | 14 | 14.3468429395941 | -0.346842939594062 |
36 | 16 | 16.5427233442368 | -0.542723344236757 |
37 | 16 | 14.2486198075946 | 1.75138019240539 |
38 | 16 | 13.5483598697830 | 2.45164013021702 |
39 | 14 | 15.3427927798583 | -1.34279277985826 |
40 | 20 | 18.0307670481764 | 1.96923295182363 |
41 | 14 | 14.8605335286981 | -0.860533528698117 |
42 | 14 | 15.1419856586492 | -1.14198565864925 |
43 | 11 | 14.3642988832652 | -3.3642988832652 |
44 | 15 | 15.7582627783592 | -0.758262778359236 |
45 | 16 | 15.5521114297124 | 0.447888570287641 |
46 | 14 | 15.1070445607046 | -1.10704456070464 |
47 | 16 | 14.2559386960122 | 1.74406130398781 |
48 | 14 | 15.0486923843204 | -1.04869238432036 |
49 | 12 | 15.4017918658811 | -3.40179186588112 |
50 | 16 | 14.9433790367448 | 1.05662096325517 |
51 | 9 | 13.6735393075749 | -4.67353930757492 |
52 | 14 | 14.2848213877727 | -0.284821387772669 |
53 | 16 | 15.5916412607011 | 0.408358739298907 |
54 | 16 | 14.9806224045578 | 1.01937759544224 |
55 | 15 | 15.0448667768714 | -0.0448667768714398 |
56 | 16 | 14.7144347348262 | 1.28556526517378 |
57 | 12 | 13.4044584111642 | -1.40445841116418 |
58 | 16 | 16.4306176266659 | -0.430617626665932 |
59 | 16 | 16.1199728896308 | -0.119972889630781 |
60 | 14 | 16.3731463457375 | -2.37314634573747 |
61 | 16 | 12.4555583401581 | 3.54444165984192 |
62 | 17 | 15.9959388519617 | 1.00406114803827 |
63 | 18 | 14.5810078196535 | 3.41899218034646 |
64 | 18 | 15.4095422711377 | 2.59045772886225 |
65 | 12 | 14.4918698578981 | -2.49186985789814 |
66 | 16 | 15.8447818797813 | 0.155218120218692 |
67 | 10 | 14.3109847797333 | -4.31098477973325 |
68 | 14 | 12.5549855404930 | 1.44501445950697 |
69 | 18 | 15.3546694865409 | 2.64533051345908 |
70 | 18 | 16.2294492664044 | 1.77055073359564 |
71 | 16 | 15.5103914460054 | 0.489608553994597 |
72 | 16 | 15.4647462910473 | 0.535253708952651 |
73 | 16 | 14.7382625863182 | 1.26173741368180 |
74 | 13 | 14.6840829976808 | -1.68408299768081 |
75 | 16 | 15.0649213546218 | 0.935078645378235 |
76 | 16 | 14.7750325979285 | 1.22496740207154 |
77 | 20 | 15.9965798782939 | 4.0034201217061 |
78 | 16 | 15.2636311279439 | 0.736368872056057 |
79 | 15 | 12.6533132422704 | 2.34668675772957 |
80 | 15 | 15.3514283261438 | -0.351428326143807 |
81 | 16 | 15.8558716296856 | 0.144128370314401 |
82 | 14 | 14.1055970151842 | -0.105597015184237 |
83 | 15 | 13.2179707233303 | 1.78202927666970 |
84 | 12 | 14.8618911097905 | -2.86189110979051 |
85 | 17 | 16.0544395351271 | 0.945560464872856 |
86 | 16 | 15.2206429406429 | 0.77935705935714 |
87 | 15 | 13.0015774150171 | 1.99842258498291 |
88 | 13 | 14.3841044646471 | -1.38410446464714 |
89 | 16 | 15.9358794880953 | 0.0641205119047345 |
90 | 16 | 15.2919624251822 | 0.708037574817808 |
91 | 16 | 16.2431343485888 | -0.243134348588786 |
92 | 16 | 15.8855251684020 | 0.114474831598036 |
93 | 14 | 15.5962077967892 | -1.59620779678920 |
94 | 16 | 14.2092124454423 | 1.79078755455770 |
95 | 16 | 15.2034992041161 | 0.79650079588393 |
96 | 20 | 16.4345370838630 | 3.56546291613696 |
97 | 15 | 15.5524538535673 | -0.55245385356726 |
98 | 16 | 14.1423500400052 | 1.85764995999478 |
99 | 13 | 14.3388817605544 | -1.3388817605544 |
100 | 17 | 15.9410565088161 | 1.05894349118395 |
101 | 16 | 14.2723793973866 | 1.72762060261342 |
102 | 12 | 13.3820911668385 | -1.38209116683846 |
103 | 16 | 15.0376186150971 | 0.962381384902888 |
104 | 16 | 15.3838293804663 | 0.616170619533714 |
105 | 17 | 15.5289187613571 | 1.47108123864287 |
106 | 13 | 13.1697057822538 | -0.16970578225384 |
107 | 12 | 15.8938827607261 | -3.89388276072607 |
108 | 18 | 15.8372527602765 | 2.1627472397235 |
109 | 14 | 13.7614338628154 | 0.238566137184593 |
110 | 14 | 14.5518760110905 | -0.551876011090541 |
111 | 13 | 13.7840851839024 | -0.78408518390235 |
112 | 16 | 15.4718779022302 | 0.528122097769778 |
113 | 13 | 12.5921019758257 | 0.407898024174267 |
114 | 16 | 15.3796806277726 | 0.620319372227447 |
115 | 13 | 14.8709940137106 | -1.87099401371062 |
116 | 16 | 15.8840608409725 | 0.115939159027488 |
117 | 15 | 14.7888071465404 | 0.211192853459580 |
118 | 16 | 15.4084961001822 | 0.591503899817782 |
119 | 15 | 14.9325562176423 | 0.0674437823577326 |
120 | 17 | 15.6482538659794 | 1.35174613402057 |
121 | 15 | 15.8977377480297 | -0.897737748029724 |
122 | 12 | 13.6393640506104 | -1.63936405061043 |
123 | 16 | 14.4292540962851 | 1.57074590371489 |
124 | 10 | 14.2187822446243 | -4.2187822446243 |
125 | 16 | 14.3125682379591 | 1.68743176204089 |
126 | 14 | 14.7389013208296 | -0.738901320829561 |
127 | 15 | 16.4755884143781 | -1.47558841437810 |
128 | 13 | 14.5183295954537 | -1.51832959545375 |
129 | 15 | 15.4177865658512 | -0.417786565851156 |
130 | 11 | 13.7857724701193 | -2.78577247011932 |
131 | 12 | 14.2703691701158 | -2.27036917011577 |
132 | 8 | 14.5989059202342 | -6.59890592023418 |
133 | 16 | 16.3110948713655 | -0.311094871365533 |
134 | 15 | 14.9161438996603 | 0.0838561003397311 |
135 | 17 | 15.3471949437459 | 1.65280505625411 |
136 | 16 | 15.4424536590105 | 0.55754634098952 |
137 | 10 | 15.0704011970605 | -5.07040119706048 |
138 | 18 | 13.8675057034538 | 4.13249429654624 |
139 | 13 | 13.9430146783361 | -0.943014678336107 |
140 | 15 | 14.3333497221560 | 0.66665027784403 |
141 | 16 | 14.6614616755976 | 1.33853832440245 |
142 | 16 | 15.0281045679855 | 0.97189543201446 |
143 | 14 | 13.4712432005434 | 0.528756799456632 |
144 | 10 | 13.1612303086049 | -3.16123030860495 |
145 | 17 | 16.0544395351271 | 0.945560464872856 |
146 | 13 | 14.3803771702264 | -1.38037717022638 |
147 | 15 | 15.8977377480297 | -0.897737748029724 |
148 | 16 | 15.9468267786048 | 0.0531732213951709 |
149 | 12 | 15.284119549729 | -3.28411954972900 |
150 | 13 | 13.5624866853128 | -0.562486685312814 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.929162373438926 | 0.141675253122148 | 0.0708376265610739 |
11 | 0.875870946955373 | 0.248258106089254 | 0.124129053044627 |
12 | 0.7996737902567 | 0.400652419486599 | 0.200326209743300 |
13 | 0.708217239792919 | 0.583565520414162 | 0.291782760207081 |
14 | 0.629047374120305 | 0.74190525175939 | 0.370952625879695 |
15 | 0.548864341338667 | 0.902271317322666 | 0.451135658661333 |
16 | 0.464611610485308 | 0.929223220970616 | 0.535388389514692 |
17 | 0.449457278230867 | 0.898914556461734 | 0.550542721769133 |
18 | 0.454543000516936 | 0.909086001033872 | 0.545456999483064 |
19 | 0.369873988664769 | 0.739747977329538 | 0.63012601133523 |
20 | 0.316560039137521 | 0.633120078275041 | 0.683439960862479 |
21 | 0.460315115703017 | 0.920630231406034 | 0.539684884296983 |
22 | 0.443775719823656 | 0.887551439647311 | 0.556224280176344 |
23 | 0.385096523482664 | 0.770193046965327 | 0.614903476517336 |
24 | 0.32686103611583 | 0.65372207223166 | 0.67313896388417 |
25 | 0.269433446887484 | 0.538866893774967 | 0.730566553112516 |
26 | 0.229734477608571 | 0.459468955217142 | 0.770265522391429 |
27 | 0.184083380379199 | 0.368166760758399 | 0.8159166196208 |
28 | 0.265619833359865 | 0.53123966671973 | 0.734380166640135 |
29 | 0.364042808127576 | 0.728085616255151 | 0.635957191872424 |
30 | 0.314639268966104 | 0.629278537932207 | 0.685360731033896 |
31 | 0.272602529830838 | 0.545205059661676 | 0.727397470169162 |
32 | 0.232648668348641 | 0.465297336697282 | 0.767351331651359 |
33 | 0.922042137744413 | 0.155915724511174 | 0.0779578622555869 |
34 | 0.951904667869728 | 0.096190664260543 | 0.0480953321302715 |
35 | 0.935643945586828 | 0.128712108826344 | 0.0643560544131718 |
36 | 0.921317933203207 | 0.157364133593586 | 0.078682066796793 |
37 | 0.909587680384306 | 0.180824639231387 | 0.0904123196156936 |
38 | 0.903693994938545 | 0.192612010122909 | 0.0963060050614546 |
39 | 0.885550454617984 | 0.228899090764033 | 0.114449545382016 |
40 | 0.903639792137163 | 0.192720415725673 | 0.0963602078628366 |
41 | 0.882266554727474 | 0.235466890545053 | 0.117733445272526 |
42 | 0.863983570508731 | 0.272032858982537 | 0.136016429491269 |
43 | 0.920262077983152 | 0.159475844033697 | 0.0797379220168483 |
44 | 0.905332014136677 | 0.189335971726646 | 0.0946679858633232 |
45 | 0.881839474717711 | 0.236321050564578 | 0.118160525282289 |
46 | 0.858321134333488 | 0.283357731333023 | 0.141678865666512 |
47 | 0.839956308015503 | 0.320087383968994 | 0.160043691984497 |
48 | 0.813600732135474 | 0.372798535729052 | 0.186399267864526 |
49 | 0.859695206715183 | 0.280609586569634 | 0.140304793284817 |
50 | 0.837036356118637 | 0.325927287762726 | 0.162963643881363 |
51 | 0.925516539703982 | 0.148966920592035 | 0.0744834602960177 |
52 | 0.90706086188471 | 0.185878276230579 | 0.0929391381152894 |
53 | 0.88873846953627 | 0.222523060927462 | 0.111261530463731 |
54 | 0.873342869630429 | 0.253314260739143 | 0.126657130369571 |
55 | 0.846049711150487 | 0.307900577699025 | 0.153950288849513 |
56 | 0.836177509932676 | 0.327644980134648 | 0.163822490067324 |
57 | 0.818158112056372 | 0.363683775887257 | 0.181841887943628 |
58 | 0.784575454520599 | 0.430849090958803 | 0.215424545479402 |
59 | 0.746504785040901 | 0.506990429918198 | 0.253495214959099 |
60 | 0.747689730142498 | 0.504620539715004 | 0.252310269857502 |
61 | 0.808046936221255 | 0.38390612755749 | 0.191953063778745 |
62 | 0.785016094851123 | 0.429967810297755 | 0.214983905148877 |
63 | 0.838099976729959 | 0.323800046540083 | 0.161900023270041 |
64 | 0.861276231987536 | 0.277447536024928 | 0.138723768012464 |
65 | 0.874240469927597 | 0.251519060144806 | 0.125759530072403 |
66 | 0.848267861542842 | 0.303464276914315 | 0.151732138457158 |
67 | 0.92192778985214 | 0.156144420295718 | 0.078072210147859 |
68 | 0.910606855801358 | 0.178786288397284 | 0.0893931441986421 |
69 | 0.92904362527955 | 0.141912749440902 | 0.0709563747204508 |
70 | 0.927587191922801 | 0.144825616154397 | 0.0724128080771987 |
71 | 0.910140526533317 | 0.179718946933367 | 0.0898594734666833 |
72 | 0.890053387826172 | 0.219893224347656 | 0.109946612173828 |
73 | 0.877193303737536 | 0.245613392524928 | 0.122806696262464 |
74 | 0.868054195463885 | 0.263891609072230 | 0.131945804536115 |
75 | 0.847315636723818 | 0.305368726552363 | 0.152684363276182 |
76 | 0.82822318285658 | 0.343553634286841 | 0.171776817143420 |
77 | 0.905192887252466 | 0.189614225495067 | 0.0948071127475335 |
78 | 0.886357642425335 | 0.227284715149330 | 0.113642357574665 |
79 | 0.8917025296548 | 0.216594940690400 | 0.108297470345200 |
80 | 0.867585415187782 | 0.264829169624435 | 0.132414584812218 |
81 | 0.840002736394346 | 0.319994527211308 | 0.159997263605654 |
82 | 0.813029993269397 | 0.373940013461206 | 0.186970006730603 |
83 | 0.81425290053609 | 0.371494198927819 | 0.185747099463909 |
84 | 0.843184105538536 | 0.313631788922927 | 0.156815894461464 |
85 | 0.818549507039875 | 0.362900985920249 | 0.181450492960125 |
86 | 0.79090305072174 | 0.418193898556519 | 0.209096949278260 |
87 | 0.798941938223149 | 0.402116123553703 | 0.201058061776851 |
88 | 0.782523102918616 | 0.434953794162767 | 0.217476897081384 |
89 | 0.749892094612542 | 0.500215810774915 | 0.250107905387457 |
90 | 0.713760960340097 | 0.572478079319806 | 0.286239039659903 |
91 | 0.671722914803435 | 0.65655417039313 | 0.328277085196565 |
92 | 0.626715103595145 | 0.746569792809709 | 0.373284896404854 |
93 | 0.618457537577178 | 0.763084924845643 | 0.381542462422822 |
94 | 0.621006722995939 | 0.757986554008122 | 0.378993277004061 |
95 | 0.578027973963577 | 0.843944052072846 | 0.421972026036423 |
96 | 0.66516199519547 | 0.669676009609061 | 0.334838004804530 |
97 | 0.61902895107147 | 0.761942097857059 | 0.380971048928530 |
98 | 0.648268161742614 | 0.703463676514772 | 0.351731838257386 |
99 | 0.61868524487181 | 0.76262951025638 | 0.38131475512819 |
100 | 0.598207740127297 | 0.803584519745405 | 0.401792259872703 |
101 | 0.611116753004157 | 0.777766493991686 | 0.388883246995843 |
102 | 0.577771961648272 | 0.844456076703456 | 0.422228038351728 |
103 | 0.532397374481144 | 0.935205251037712 | 0.467602625518856 |
104 | 0.511121393731048 | 0.977757212537904 | 0.488878606268952 |
105 | 0.503979906422163 | 0.992040187155675 | 0.496020093577837 |
106 | 0.450171137067422 | 0.900342274134844 | 0.549828862932578 |
107 | 0.586603688736935 | 0.82679262252613 | 0.413396311263065 |
108 | 0.590006146434476 | 0.819987707131048 | 0.409993853565524 |
109 | 0.586449884188445 | 0.82710023162311 | 0.413550115811555 |
110 | 0.53551944028606 | 0.92896111942788 | 0.46448055971394 |
111 | 0.48143837919943 | 0.96287675839886 | 0.51856162080057 |
112 | 0.429516570395245 | 0.85903314079049 | 0.570483429604755 |
113 | 0.397817595745914 | 0.795635191491827 | 0.602182404254086 |
114 | 0.360257186196027 | 0.720514372392054 | 0.639742813803973 |
115 | 0.343794789294001 | 0.687589578588002 | 0.656205210705999 |
116 | 0.290258690871178 | 0.580517381742355 | 0.709741309128822 |
117 | 0.264786817476584 | 0.529573634953167 | 0.735213182523416 |
118 | 0.267519330892590 | 0.535038661785179 | 0.73248066910741 |
119 | 0.219009383405196 | 0.438018766810391 | 0.780990616594804 |
120 | 0.187924344969432 | 0.375848689938865 | 0.812075655030568 |
121 | 0.154407350022854 | 0.308814700045707 | 0.845592649977146 |
122 | 0.140537139090532 | 0.281074278181063 | 0.859462860909468 |
123 | 0.131106195217387 | 0.262212390434775 | 0.868893804782613 |
124 | 0.177433809314216 | 0.354867618628432 | 0.822566190685784 |
125 | 0.142862714159503 | 0.285725428319006 | 0.857137285840497 |
126 | 0.110463697640415 | 0.220927395280831 | 0.889536302359585 |
127 | 0.0832675364824746 | 0.166535072964949 | 0.916732463517525 |
128 | 0.0629901080190008 | 0.125980216038002 | 0.937009891981 |
129 | 0.0443120783738492 | 0.0886241567476983 | 0.95568792162615 |
130 | 0.0363163959710087 | 0.0726327919420174 | 0.963683604028991 |
131 | 0.0269094347650174 | 0.0538188695300347 | 0.973090565234983 |
132 | 0.196173542274698 | 0.392347084549396 | 0.803826457725302 |
133 | 0.142839352985323 | 0.285678705970646 | 0.857160647014677 |
134 | 0.103272015931721 | 0.206544031863442 | 0.89672798406828 |
135 | 0.315283795191318 | 0.630567590382636 | 0.684716204808682 |
136 | 0.242588552149695 | 0.485177104299391 | 0.757411447850305 |
137 | 0.584481925157999 | 0.831036149684003 | 0.415518074842001 |
138 | 0.575405358570799 | 0.849189282858401 | 0.424594641429201 |
139 | 0.43855980269196 | 0.87711960538392 | 0.56144019730804 |
140 | 0.313208895217926 | 0.626417790435851 | 0.686791104782075 |
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 | 4 | 0.0305343511450382 | OK |