Multiple Linear Regression - Estimated Regression Equation |
Organization[t] = + 10.4980892782650 -2.15563229975179Gender[t] -0.0564877448316168Concern_mistakes[t] + 0.244749750576054Doubts_actions[t] -0.0878682090368594Parental_expectations[t] -0.265570849993746Parental_criticism[t] + 0.392456084218977Personal_standards[t] + 0.422739980796405PLC[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) | 10.4980892782650 | 2.786009 | 3.7681 | 0.000244 | 0.000122 |
Gender | -2.15563229975179 | 0.576467 | -3.7394 | 0.000271 | 0.000135 |
Concern_mistakes | -0.0564877448316168 | 0.060567 | -0.9326 | 0.352655 | 0.176327 |
Doubts_actions | 0.244749750576054 | 0.116078 | 2.1085 | 0.036822 | 0.018411 |
Parental_expectations | -0.0878682090368594 | 0.100194 | -0.877 | 0.382045 | 0.191022 |
Parental_criticism | -0.265570849993746 | 0.123447 | -2.1513 | 0.033221 | 0.01661 |
Personal_standards | 0.392456084218977 | 0.074806 | 5.2463 | 1e-06 | 0 |
PLC | 0.422739980796405 | 0.127707 | 3.3102 | 0.001194 | 0.000597 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.573275404225135 |
R-squared | 0.328644689089493 |
Adjusted R-squared | 0.29408963632204 |
F-TEST (value) | 9.51075639505441 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 136 |
p-value | 1.39365097240329e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.21599473075328 |
Sum Squared Residuals | 1406.59660671967 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 25 | 21.472096988388 | 3.52790301161201 |
2 | 24 | 23.0792433997669 | 0.920756600233053 |
3 | 21 | 20.1651113510913 | 0.834888648908694 |
4 | 23 | 22.5755260341188 | 0.424473965881232 |
5 | 17 | 19.3591035484242 | -2.35910354842417 |
6 | 19 | 19.9687730209373 | -0.96877302093731 |
7 | 18 | 26.0698269340776 | -8.06982693407763 |
8 | 27 | 22.9131966912254 | 4.08680330877458 |
9 | 23 | 21.4119436075665 | 1.58805639243349 |
10 | 23 | 21.2402411734250 | 1.75975882657496 |
11 | 29 | 25.9522185623528 | 3.04778143764721 |
12 | 21 | 22.0334002979863 | -1.03340029798626 |
13 | 26 | 24.5982651250385 | 1.40173487496149 |
14 | 25 | 24.1925996663637 | 0.807400333636295 |
15 | 25 | 25.5556408278409 | -0.555640827840934 |
16 | 23 | 23.422123385822 | -0.422123385822011 |
17 | 26 | 25.0201461157300 | 0.979853884269965 |
18 | 20 | 22.8371785917333 | -2.83717859173326 |
19 | 29 | 23.3290077266109 | 5.67099227338905 |
20 | 24 | 22.5367758187068 | 1.46322418129316 |
21 | 23 | 24.7263280914576 | -1.72632809145756 |
22 | 24 | 21.9831958868122 | 2.01680411318783 |
23 | 30 | 25.4395427868443 | 4.56045721315574 |
24 | 22 | 23.7153173411362 | -1.71531734113623 |
25 | 22 | 25.0422328925509 | -3.04223289255091 |
26 | 13 | 21.3129276915785 | -8.3129276915785 |
27 | 24 | 21.3571953558729 | 2.64280464412709 |
28 | 17 | 24.2176671587708 | -7.2176671587708 |
29 | 24 | 20.493158147903 | 3.50684185209701 |
30 | 21 | 20.0792324602835 | 0.920767539716471 |
31 | 23 | 21.8275452119501 | 1.17245478804995 |
32 | 24 | 22.6650098178363 | 1.33499018216368 |
33 | 24 | 21.9480991933763 | 2.05190080662367 |
34 | 24 | 24.6976692217011 | -0.697669221701099 |
35 | 23 | 22.7900833192002 | 0.20991668079975 |
36 | 26 | 19.1386521001101 | 6.86134789988987 |
37 | 24 | 25.4345975456870 | -1.43459754568703 |
38 | 21 | 22.9671314718146 | -1.96713147181465 |
39 | 23 | 21.7025864123887 | 1.29741358761129 |
40 | 28 | 27.4700426969025 | 0.529957303097546 |
41 | 22 | 21.0885878907005 | 0.911412109299517 |
42 | 24 | 18.4676844681942 | 5.53231553180579 |
43 | 21 | 21.8535176854104 | -0.853517685410424 |
44 | 23 | 22.2470747996786 | 0.752925200321428 |
45 | 23 | 24.9348009179177 | -1.93480091791775 |
46 | 20 | 21.3931241230190 | -1.39312412301902 |
47 | 23 | 20.7780159128226 | 2.22198408717736 |
48 | 21 | 24.0299104076889 | -3.0299104076889 |
49 | 27 | 23.2469819362511 | 3.75301806374891 |
50 | 12 | 17.8166990172771 | -5.81669901727711 |
51 | 15 | 18.7665289716325 | -3.76652897163253 |
52 | 22 | 20.4183450465599 | 1.58165495344011 |
53 | 21 | 19.5055525482457 | 1.49444745175431 |
54 | 21 | 22.1194646511379 | -1.11946465113793 |
55 | 20 | 21.5758841065183 | -1.57588410651831 |
56 | 24 | 24.3546187203705 | -0.35461872037052 |
57 | 24 | 23.3714504282183 | 0.628549571781727 |
58 | 29 | 22.3706096541294 | 6.62939034587064 |
59 | 25 | 24.4518013300897 | 0.54819866991034 |
60 | 14 | 22.683699240133 | -8.683699240133 |
61 | 30 | 28.7862420875115 | 1.21375791248855 |
62 | 19 | 20.9538997508260 | -1.95389975082595 |
63 | 29 | 25.9943798344302 | 3.00562016556984 |
64 | 25 | 22.0904787670295 | 2.90952123297051 |
65 | 25 | 24.4787749269239 | 0.521225073076063 |
66 | 25 | 22.3834045500627 | 2.61659544993727 |
67 | 16 | 19.3687662022976 | -3.36876620229763 |
68 | 25 | 22.7909457951786 | 2.20905420482138 |
69 | 28 | 26.0994772382378 | 1.90052276176221 |
70 | 24 | 25.2064180391179 | -1.20641803911790 |
71 | 25 | 24.2066076864779 | 0.793392313522083 |
72 | 21 | 20.1229986346376 | 0.877001365362361 |
73 | 22 | 25.4263920823487 | -3.42639208234869 |
74 | 20 | 23.7405371241445 | -3.74053712414450 |
75 | 25 | 24.1096143904700 | 0.890385609529972 |
76 | 27 | 24.7016884668325 | 2.29831153316749 |
77 | 21 | 21.3073343474352 | -0.307334347435201 |
78 | 13 | 21.7383813724922 | -8.7383813724922 |
79 | 26 | 22.5738779720636 | 3.42612202793639 |
80 | 26 | 21.1582999621859 | 4.84170003781407 |
81 | 25 | 23.2026101209902 | 1.79738987900978 |
82 | 22 | 21.3411122660312 | 0.658887733968845 |
83 | 19 | 17.2199647905347 | 1.78003520946534 |
84 | 23 | 24.2461468721482 | -1.24614687214816 |
85 | 25 | 23.389074037079 | 1.61092596292101 |
86 | 15 | 19.8798227475879 | -4.87982274758793 |
87 | 21 | 22.4240017076957 | -1.42400170769567 |
88 | 23 | 23.4264092752187 | -0.426409275218671 |
89 | 25 | 22.0785473666180 | 2.92145263338204 |
90 | 24 | 21.4788199100982 | 2.52118008990184 |
91 | 24 | 23.0117236392979 | 0.9882763607021 |
92 | 21 | 22.0912030827286 | -1.09120308272860 |
93 | 24 | 23.3291237019031 | 0.67087629809695 |
94 | 22 | 24.7657798718929 | -2.76577987189294 |
95 | 24 | 23.3753019633647 | 0.624698036635341 |
96 | 28 | 23.2161736797711 | 4.7838263202289 |
97 | 21 | 21.5153309258635 | -0.51533092586346 |
98 | 17 | 19.4762223709726 | -2.47622237097255 |
99 | 28 | 21.5169156371676 | 6.4830843628324 |
100 | 24 | 28.9986856133420 | -4.99868561334197 |
101 | 10 | 16.3074511320150 | -6.30745113201503 |
102 | 20 | 22.0336494080228 | -2.03364940802282 |
103 | 22 | 22.4559782390996 | -0.455978239099575 |
104 | 19 | 21.9081692193606 | -2.9081692193606 |
105 | 22 | 23.4648450283357 | -1.46484502833571 |
106 | 22 | 18.6244014788176 | 3.3755985211824 |
107 | 26 | 26.0819504133096 | -0.0819504133096118 |
108 | 24 | 24.5750069933073 | -0.575006993307343 |
109 | 22 | 20.8601352981832 | 1.13986470181681 |
110 | 20 | 20.8118660711419 | -0.811866071141882 |
111 | 20 | 19.7848225474946 | 0.215177452505362 |
112 | 15 | 20.2297284984893 | -5.22972849848927 |
113 | 20 | 20.8779498215596 | -0.87794982155955 |
114 | 20 | 20.3271011066555 | -0.327101106655502 |
115 | 24 | 23.0566569236910 | 0.943343076309048 |
116 | 29 | 23.0593227759856 | 5.94067722401444 |
117 | 23 | 23.8840700984419 | -0.884070098441859 |
118 | 24 | 23.3327868466602 | 0.667213153339774 |
119 | 22 | 22.1142202882036 | -0.114220288203600 |
120 | 16 | 19.0750945500881 | -3.07509455008814 |
121 | 23 | 23.6034576104604 | -0.603457610460381 |
122 | 27 | 22.2786331410636 | 4.72136685893639 |
123 | 16 | 20.2507785906528 | -4.25077859065278 |
124 | 21 | 21.5490183366986 | -0.549018336698598 |
125 | 26 | 22.0798255891111 | 3.92017441088892 |
126 | 22 | 21.9342754767984 | 0.0657245232015839 |
127 | 23 | 23.0249327649373 | -0.0249327649373062 |
128 | 19 | 20.8363307180701 | -1.83633071807008 |
129 | 18 | 18.0527671656676 | -0.0527671656676029 |
130 | 24 | 20.8201850792315 | 3.1798149207685 |
131 | 29 | 23.1933302521853 | 5.80666974781469 |
132 | 22 | 18.4523989894751 | 3.54760101052488 |
133 | 24 | 23.3521679757137 | 0.647832024286278 |
134 | 22 | 21.2197162553014 | 0.780283744698575 |
135 | 12 | 21.5448795754195 | -9.5448795754195 |
136 | 26 | 27.0990846642795 | -1.09908466427955 |
137 | 18 | 21.4884535143454 | -3.48845351434542 |
138 | 22 | 25.0422328925509 | -3.04223289255091 |
139 | 24 | 21.8707923130622 | 2.12920768693783 |
140 | 21 | 22.0766958455374 | -1.07669584553738 |
141 | 15 | 18.6360674521269 | -3.63606745212691 |
142 | 23 | 24.2461468721482 | -1.24614687214816 |
143 | 22 | 22.1142202882036 | -0.114220288203600 |
144 | 24 | 21.9319275597089 | 2.06807244029110 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.835932502227607 | 0.328134995544786 | 0.164067497772393 |
12 | 0.782283779125978 | 0.435432441748044 | 0.217716220874022 |
13 | 0.751600654190144 | 0.496798691619712 | 0.248399345809856 |
14 | 0.64447937299062 | 0.711041254018761 | 0.355520627009380 |
15 | 0.530391448837033 | 0.939217102325935 | 0.469608551162967 |
16 | 0.474898928292455 | 0.94979785658491 | 0.525101071707545 |
17 | 0.377348300053574 | 0.754696600107147 | 0.622651699946426 |
18 | 0.449829473411108 | 0.899658946822216 | 0.550170526588892 |
19 | 0.540409061059599 | 0.919181877880802 | 0.459590938940401 |
20 | 0.524522723562992 | 0.950954552874015 | 0.475477276437008 |
21 | 0.465650507472302 | 0.931301014944604 | 0.534349492527698 |
22 | 0.385988172294766 | 0.771976344589531 | 0.614011827705234 |
23 | 0.420071012169619 | 0.840142024339238 | 0.579928987830381 |
24 | 0.373883729486149 | 0.747767458972299 | 0.62611627051385 |
25 | 0.337490525430194 | 0.674981050860388 | 0.662509474569806 |
26 | 0.67554028916968 | 0.648919421660641 | 0.324459710830320 |
27 | 0.643864320786672 | 0.712271358426656 | 0.356135679213328 |
28 | 0.871989509614126 | 0.256020980771747 | 0.128010490385874 |
29 | 0.847762128477124 | 0.304475743045752 | 0.152237871522876 |
30 | 0.806902886782026 | 0.386194226435949 | 0.193097113217974 |
31 | 0.778585890422773 | 0.442828219154455 | 0.221414109577227 |
32 | 0.733879556562722 | 0.532240886874555 | 0.266120443437278 |
33 | 0.687771766282127 | 0.624456467435746 | 0.312228233717873 |
34 | 0.669926201636844 | 0.660147596726312 | 0.330073798363156 |
35 | 0.61334230557235 | 0.773315388855301 | 0.386657694427651 |
36 | 0.761966091108882 | 0.476067817782236 | 0.238033908891118 |
37 | 0.726203075991101 | 0.547593848017798 | 0.273796924008899 |
38 | 0.706349605069491 | 0.587300789861017 | 0.293650394930509 |
39 | 0.657718095048295 | 0.68456380990341 | 0.342281904951705 |
40 | 0.636969527719061 | 0.726060944561878 | 0.363030472280939 |
41 | 0.584200170633455 | 0.83159965873309 | 0.415799829366545 |
42 | 0.629989584653955 | 0.74002083069209 | 0.370010415346045 |
43 | 0.580840141931712 | 0.838319716136577 | 0.419159858068288 |
44 | 0.528327569561863 | 0.943344860876274 | 0.471672430438137 |
45 | 0.485441362494334 | 0.970882724988668 | 0.514558637505666 |
46 | 0.460289414455365 | 0.92057882891073 | 0.539710585544635 |
47 | 0.423194179981029 | 0.846388359962058 | 0.576805820018971 |
48 | 0.419317374885659 | 0.838634749771318 | 0.580682625114341 |
49 | 0.453646655414215 | 0.907293310828431 | 0.546353344585785 |
50 | 0.648932338128152 | 0.702135323743696 | 0.351067661871848 |
51 | 0.686682165579313 | 0.626635668841373 | 0.313317834420687 |
52 | 0.64757973780507 | 0.70484052438986 | 0.35242026219493 |
53 | 0.606677160655094 | 0.786645678689812 | 0.393322839344906 |
54 | 0.562183109873139 | 0.875633780253722 | 0.437816890126861 |
55 | 0.519647174010968 | 0.960705651978064 | 0.480352825989032 |
56 | 0.4683662714956 | 0.9367325429912 | 0.5316337285044 |
57 | 0.418774445166567 | 0.837548890333134 | 0.581225554833433 |
58 | 0.577686354841707 | 0.844627290316585 | 0.422313645158293 |
59 | 0.533380030255386 | 0.933239939489227 | 0.466619969744614 |
60 | 0.7947266071237 | 0.410546785752599 | 0.205273392876299 |
61 | 0.773159688245722 | 0.453680623508556 | 0.226840311754278 |
62 | 0.74933885477968 | 0.501322290440641 | 0.250661145220320 |
63 | 0.747206929257402 | 0.505586141485195 | 0.252793070742598 |
64 | 0.736163757458787 | 0.527672485082426 | 0.263836242541213 |
65 | 0.695425615148002 | 0.609148769703997 | 0.304574384851998 |
66 | 0.673934145868465 | 0.65213170826307 | 0.326065854131535 |
67 | 0.687313053512212 | 0.625373892975577 | 0.312686946487788 |
68 | 0.666944204580404 | 0.666111590839192 | 0.333055795419596 |
69 | 0.637207435700847 | 0.725585128598306 | 0.362792564299153 |
70 | 0.596512136531554 | 0.806975726936892 | 0.403487863468446 |
71 | 0.549684717898977 | 0.900630564202046 | 0.450315282101023 |
72 | 0.502902972452088 | 0.994194055095824 | 0.497097027547912 |
73 | 0.505045842923073 | 0.989908314153853 | 0.494954157076927 |
74 | 0.516838520108713 | 0.966322959782574 | 0.483161479891287 |
75 | 0.470156761505566 | 0.940313523011131 | 0.529843238494434 |
76 | 0.446702295487636 | 0.893404590975272 | 0.553297704512364 |
77 | 0.398064373290314 | 0.796128746580628 | 0.601935626709686 |
78 | 0.697544879163227 | 0.604910241673545 | 0.302455120836773 |
79 | 0.700333093511373 | 0.599333812977255 | 0.299666906488627 |
80 | 0.753226463231044 | 0.493547073537913 | 0.246773536768956 |
81 | 0.723263905119706 | 0.553472189760589 | 0.276736094880294 |
82 | 0.687660813298927 | 0.624678373402145 | 0.312339186701072 |
83 | 0.655138656330301 | 0.689722687339398 | 0.344861343669699 |
84 | 0.614482482218531 | 0.771035035562939 | 0.385517517781469 |
85 | 0.578267529498262 | 0.843464941003477 | 0.421732470501738 |
86 | 0.634885014027263 | 0.730229971945475 | 0.365114985972737 |
87 | 0.596028589557074 | 0.80794282088585 | 0.403971410442926 |
88 | 0.54806329609506 | 0.90387340780988 | 0.45193670390494 |
89 | 0.548532860140392 | 0.902934279719216 | 0.451467139859608 |
90 | 0.54049430324104 | 0.91901139351792 | 0.45950569675896 |
91 | 0.495582022540904 | 0.991164045081808 | 0.504417977459096 |
92 | 0.451063869602721 | 0.902127739205443 | 0.548936130397279 |
93 | 0.415658110334496 | 0.831316220668991 | 0.584341889665504 |
94 | 0.391352910410673 | 0.782705820821345 | 0.608647089589327 |
95 | 0.349678274492409 | 0.699356548984817 | 0.650321725507591 |
96 | 0.393903281013575 | 0.78780656202715 | 0.606096718986425 |
97 | 0.345946108413104 | 0.691892216826208 | 0.654053891586896 |
98 | 0.332137367946913 | 0.664274735893826 | 0.667862632053087 |
99 | 0.531612518702001 | 0.936774962595998 | 0.468387481297999 |
100 | 0.673407729971518 | 0.653184540056964 | 0.326592270028482 |
101 | 0.768932459125814 | 0.462135081748372 | 0.231067540874186 |
102 | 0.730932056815566 | 0.538135886368868 | 0.269067943184434 |
103 | 0.685294218130572 | 0.629411563738856 | 0.314705781869428 |
104 | 0.698222962463022 | 0.603554075073955 | 0.301777037536978 |
105 | 0.65001071655655 | 0.699978566886899 | 0.349989283443450 |
106 | 0.667474650237553 | 0.665050699524893 | 0.332525349762446 |
107 | 0.611978881029944 | 0.776042237940113 | 0.388021118970056 |
108 | 0.55311976134628 | 0.89376047730744 | 0.44688023865372 |
109 | 0.514418567550734 | 0.971162864898532 | 0.485581432449266 |
110 | 0.470230246302234 | 0.940460492604468 | 0.529769753697766 |
111 | 0.408174117524988 | 0.816348235049976 | 0.591825882475012 |
112 | 0.457167144330914 | 0.914334288661828 | 0.542832855669086 |
113 | 0.396658211277157 | 0.793316422554314 | 0.603341788722843 |
114 | 0.335353670822361 | 0.670707341644722 | 0.664646329177639 |
115 | 0.27769679218416 | 0.55539358436832 | 0.72230320781584 |
116 | 0.450521066674806 | 0.901042133349613 | 0.549478933325194 |
117 | 0.384143259448017 | 0.768286518896035 | 0.615856740551983 |
118 | 0.385766468555411 | 0.771532937110823 | 0.614233531444589 |
119 | 0.318314425886883 | 0.636628851773767 | 0.681685574113116 |
120 | 0.264046872786571 | 0.528093745573142 | 0.735953127213429 |
121 | 0.206385799309297 | 0.412771598618594 | 0.793614200690703 |
122 | 0.251996261174219 | 0.503992522348439 | 0.748003738825781 |
123 | 0.207068465755578 | 0.414136931511155 | 0.792931534244423 |
124 | 0.163055228926365 | 0.326110457852731 | 0.836944771073635 |
125 | 0.167363114487302 | 0.334726228974605 | 0.832636885512698 |
126 | 0.128728470968656 | 0.257456941937312 | 0.871271529031344 |
127 | 0.0870540175363354 | 0.174108035072671 | 0.912945982463665 |
128 | 0.0561018529315769 | 0.112203705863154 | 0.943898147068423 |
129 | 0.0334882006833902 | 0.0669764013667804 | 0.96651179931661 |
130 | 0.0195227293141082 | 0.0390454586282165 | 0.980477270685892 |
131 | 0.0323597946594215 | 0.064719589318843 | 0.967640205340578 |
132 | 0.215598900552752 | 0.431197801105505 | 0.784401099447248 |
133 | 0.242860754031431 | 0.485721508062863 | 0.757139245968569 |
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 | 1 | 0.008130081300813 | OK |
10% type I error level | 3 | 0.024390243902439 | OK |