Multiple Linear Regression - Estimated Regression Equation |
Personal_standards[t] = + 6.05544463046083 + 1.08554008173790Gender[t] + 0.302404041874856Concern_mistakes[t] -0.370388926577496Doubts_actions[t] + 0.0908521419386202Parental_expectations[t] + 0.226711071855642Parental_criticism[t] + 0.428884960755457Organization[t] + 0.0317689593578859PLC[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) | 6.05544463046083 | 3.016337 | 2.0075 | 0.046673 | 0.023336 |
Gender | 1.08554008173790 | 0.625966 | 1.7342 | 0.085152 | 0.042576 |
Concern_mistakes | 0.302404041874856 | 0.057984 | 5.2153 | 1e-06 | 0 |
Doubts_actions | -0.370388926577496 | 0.119153 | -3.1085 | 0.00229 | 0.001145 |
Parental_expectations | 0.0908521419386202 | 0.104748 | 0.8673 | 0.387282 | 0.193641 |
Parental_criticism | 0.226711071855642 | 0.129779 | 1.7469 | 0.082912 | 0.041456 |
Organization | 0.428884960755457 | 0.081749 | 5.2463 | 1e-06 | 0 |
PLC | 0.0317689593578859 | 0.13875 | 0.229 | 0.81924 | 0.40962 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.625922347228241 |
R-squared | 0.391778784759711 |
Adjusted R-squared | 0.360473281034108 |
F-TEST (value) | 12.5146935246180 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 136 |
p-value | 2.57371901568604e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.36194190238707 |
Sum Squared Residuals | 1537.16085628353 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 25 | 25.5281585124996 | -0.528158512499642 |
2 | 25 | 23.3801561785687 | 1.61984382143132 |
3 | 19 | 23.9873375773017 | -4.98733757730169 |
4 | 18 | 23.3076234384716 | -5.30762343847157 |
5 | 18 | 20.7596668651796 | -2.75966686517959 |
6 | 22 | 21.3135821292966 | 0.686417870703412 |
7 | 29 | 22.0216450441640 | 6.97835495583604 |
8 | 26 | 25.0503269765448 | 0.949673023455192 |
9 | 25 | 24.0818224564755 | 0.918177543524528 |
10 | 23 | 24.8249168609581 | -1.82491686095814 |
11 | 23 | 20.9833853504259 | 2.01661464957412 |
12 | 23 | 20.9132540671716 | 2.08674593282838 |
13 | 24 | 23.506915416333 | 0.49308458366698 |
14 | 30 | 24.6798911803785 | 5.32010881962153 |
15 | 19 | 17.9057959422863 | 1.09420405771365 |
16 | 24 | 23.2097556179727 | 0.790244382027295 |
17 | 32 | 29.2264367543226 | 2.77356324567736 |
18 | 30 | 27.4238597175276 | 2.57614028247235 |
19 | 29 | 30.9988998064258 | -1.99889980642575 |
20 | 17 | 22.6196657169651 | -5.61966571696511 |
21 | 25 | 23.5444254603085 | 1.45557453969151 |
22 | 26 | 24.8391210462728 | 1.16087895372722 |
23 | 26 | 26.9487872779461 | -0.948787277946073 |
24 | 25 | 24.0509054143823 | 0.949094585617727 |
25 | 23 | 19.2740616887474 | 3.72593831125259 |
26 | 21 | 17.4131067191083 | 3.58689328089174 |
27 | 19 | 23.0319111516796 | -4.03191115167956 |
28 | 35 | 24.0051023415459 | 10.9948976584541 |
29 | 19 | 22.8626109679091 | -3.86261096790906 |
30 | 20 | 22.7476522945290 | -2.74765229452904 |
31 | 21 | 22.3304653961623 | -1.33046539616229 |
32 | 21 | 21.8071358122607 | -0.807135812260728 |
33 | 24 | 19.9664998945467 | 4.0335001054533 |
34 | 23 | 19.9637605427927 | 3.03623945720735 |
35 | 19 | 20.0853797878955 | -1.08537978789554 |
36 | 17 | 24.8342983720192 | -7.83429837201917 |
37 | 24 | 22.9519173748990 | 1.04808262510104 |
38 | 15 | 17.9762480302365 | -2.97624803023651 |
39 | 25 | 25.4198464672891 | -0.419846467289087 |
40 | 27 | 23.1165219314615 | 3.88347806853850 |
41 | 27 | 25.6714546103921 | 1.32854538960788 |
42 | 18 | 22.1853588943757 | -4.18535889437572 |
43 | 25 | 22.0163577107640 | 2.98364228923597 |
44 | 22 | 21.8623548083114 | 0.137645191688583 |
45 | 26 | 21.4309657248002 | 4.56903427519975 |
46 | 23 | 24.4543758064382 | -1.45437580643825 |
47 | 16 | 21.9150740505523 | -5.91507405055234 |
48 | 27 | 20.8501991950921 | 6.14980080490794 |
49 | 25 | 24.4472185571175 | 0.552781442882529 |
50 | 14 | 15.8739961454201 | -1.87399614542012 |
51 | 19 | 21.3914097840986 | -2.39140978409855 |
52 | 20 | 25.2661621646739 | -5.2661621646739 |
53 | 16 | 21.0647508466983 | -5.06475084669831 |
54 | 18 | 20.6279428593715 | -2.62794285937146 |
55 | 22 | 22.1020407413569 | -0.102040741356915 |
56 | 21 | 19.2940825344445 | 1.70591746555548 |
57 | 22 | 23.0734203791412 | -1.07342037914117 |
58 | 22 | 23.8987305343088 | -1.89873053430883 |
59 | 32 | 25.5820670025999 | 6.41793299740007 |
60 | 23 | 20.3984227208104 | 2.6015772791896 |
61 | 31 | 26.1087294209528 | 4.89127057904723 |
62 | 18 | 21.8054063105134 | -3.80540631051343 |
63 | 23 | 23.0881694317347 | -0.088169431734685 |
64 | 26 | 25.8512867893350 | 0.148713210664950 |
65 | 24 | 22.2238657217127 | 1.77613427828726 |
66 | 19 | 17.2706264248124 | 1.72937357518757 |
67 | 14 | 16.1204986229292 | -2.12049862292919 |
68 | 20 | 21.9132784977955 | -1.91327849779554 |
69 | 22 | 21.2150000975043 | 0.784999902495717 |
70 | 24 | 22.0449269282509 | 1.95507307174909 |
71 | 25 | 22.6218215012809 | 2.37817849871912 |
72 | 21 | 24.9664048238158 | -3.96640482381575 |
73 | 28 | 23.9869011368326 | 4.01309886316737 |
74 | 24 | 21.8403117299078 | 2.1596882700922 |
75 | 20 | 20.1903276444363 | -0.190327644436281 |
76 | 21 | 23.9493784943219 | -2.94937849432193 |
77 | 23 | 23.5371687827720 | -0.537168782771954 |
78 | 13 | 15.7149475787263 | -2.71494757872626 |
79 | 24 | 23.5553928635235 | 0.444607136476478 |
80 | 21 | 23.8520101633807 | -2.85201016338069 |
81 | 21 | 23.9829661870797 | -2.98296618707973 |
82 | 17 | 19.2472413739475 | -2.24724137394748 |
83 | 14 | 19.3163708168531 | -5.31637081685314 |
84 | 29 | 21.2653528619880 | 7.73464713801195 |
85 | 25 | 23.1582768621260 | 1.84172313787405 |
86 | 16 | 17.7716091429477 | -1.77160914294767 |
87 | 25 | 21.4618772666986 | 3.53812273330137 |
88 | 25 | 21.9082001622716 | 3.09179983772836 |
89 | 21 | 22.206057948523 | -1.20605794852298 |
90 | 23 | 23.2210621532137 | -0.22106215321368 |
91 | 22 | 26.0814630599885 | -4.0814630599885 |
92 | 19 | 19.9006245138135 | -0.900624513813497 |
93 | 24 | 23.7509403131750 | 0.249059686825032 |
94 | 26 | 23.1308197173747 | 2.8691802826253 |
95 | 25 | 24.8753173719389 | 0.124682628061089 |
96 | 20 | 23.0252186614217 | -3.02521866142169 |
97 | 22 | 22.8871322320673 | -0.887132232067326 |
98 | 14 | 18.675339626853 | -4.67533962685301 |
99 | 20 | 24.9379417722663 | -4.93794177226632 |
100 | 32 | 23.8288111566847 | 8.17118884331528 |
101 | 21 | 20.5979867085993 | 0.402013291400737 |
102 | 22 | 21.8990354927191 | 0.100964507280927 |
103 | 28 | 26.6728908367733 | 1.32710916322673 |
104 | 25 | 25.4557822942169 | -0.455782294216869 |
105 | 17 | 16.1327210204083 | 0.867278979591746 |
106 | 21 | 23.0677355498766 | -2.06773554987658 |
107 | 23 | 21.7185921718228 | 1.28140782817722 |
108 | 27 | 23.0821235829297 | 3.91787641707033 |
109 | 22 | 22.4889450032043 | -0.488945003204296 |
110 | 19 | 19.2103892415976 | -0.210389241597643 |
111 | 20 | 23.455805491358 | -3.45580549135801 |
112 | 17 | 18.4948405905726 | -1.49484059057259 |
113 | 24 | 22.9650766950745 | 1.03492330492554 |
114 | 21 | 21.4326119615744 | -0.432611961574358 |
115 | 21 | 22.1653696875348 | -1.16536968753478 |
116 | 24 | 26.0383152451805 | -2.03831524518054 |
117 | 19 | 17.8494131917813 | 1.15058680821873 |
118 | 22 | 21.3626110017254 | 0.637388998274601 |
119 | 26 | 23.5481197986673 | 2.45188020133268 |
120 | 17 | 17.2209531967291 | -0.220953196729138 |
121 | 17 | 19.1435131919336 | -2.14351319193355 |
122 | 19 | 21.5832486502609 | -2.58324865026095 |
123 | 15 | 17.0675154742249 | -2.06751547422494 |
124 | 17 | 20.2257849734361 | -3.22578497343608 |
125 | 27 | 27.9103307750372 | -0.910330775037198 |
126 | 19 | 20.8044944192226 | -1.80449441922263 |
127 | 21 | 21.728310751151 | -0.728310751150981 |
128 | 25 | 20.8724532462038 | 4.12754675379621 |
129 | 19 | 23.5903406449817 | -4.59034064498166 |
130 | 22 | 22.3806732140214 | -0.380673214021431 |
131 | 20 | 24.0059751536554 | -4.00597515365536 |
132 | 15 | 24.3751919882858 | -9.3751919882858 |
133 | 20 | 22.1738054993449 | -2.17380549934492 |
134 | 29 | 25.1514904273491 | 3.8485095726509 |
135 | 19 | 18.8110305100301 | 0.188969489969935 |
136 | 29 | 23.5480923050921 | 5.45190769490787 |
137 | 24 | 21.5909587606737 | 2.40904123932625 |
138 | 23 | 19.2740616887474 | 3.72593831125259 |
139 | 22 | 23.1606745143394 | -1.16067451433936 |
140 | 23 | 22.241182759058 | 0.758817240941995 |
141 | 22 | 19.7672512302356 | 2.23274876976438 |
142 | 29 | 21.2653528619880 | 7.73464713801195 |
143 | 26 | 23.5481197986673 | 2.45188020133268 |
144 | 21 | 22.1325135819139 | -1.13251358191387 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.407790321635213 | 0.815580643270426 | 0.592209678364787 |
12 | 0.294979593416552 | 0.589959186833104 | 0.705020406583448 |
13 | 0.417792154326291 | 0.835584308652582 | 0.582207845673709 |
14 | 0.312743074847016 | 0.625486149694032 | 0.687256925152984 |
15 | 0.233843499028182 | 0.467686998056365 | 0.766156500971818 |
16 | 0.180378079116759 | 0.360756158233518 | 0.819621920883241 |
17 | 0.151824877982531 | 0.303649755965062 | 0.84817512201747 |
18 | 0.120171181539924 | 0.240342363079848 | 0.879828818460076 |
19 | 0.0857323922617428 | 0.171464784523486 | 0.914267607738257 |
20 | 0.257846315802488 | 0.515692631604976 | 0.742153684197512 |
21 | 0.299519419571712 | 0.599038839143424 | 0.700480580428288 |
22 | 0.233714322226062 | 0.467428644452124 | 0.766285677773938 |
23 | 0.182607506298966 | 0.365215012597933 | 0.817392493701034 |
24 | 0.140459127461442 | 0.280918254922883 | 0.859540872538558 |
25 | 0.112667570096892 | 0.225335140193785 | 0.887332429903108 |
26 | 0.0887034582818459 | 0.177406916563692 | 0.911296541718154 |
27 | 0.0893436102711374 | 0.178687220542275 | 0.910656389728863 |
28 | 0.602600493304796 | 0.794799013390407 | 0.397399506695204 |
29 | 0.563381129672741 | 0.873237740654519 | 0.436618870327259 |
30 | 0.532853826378948 | 0.934292347242104 | 0.467146173621052 |
31 | 0.481547429547711 | 0.963094859095422 | 0.518452570452289 |
32 | 0.418746796545828 | 0.837493593091657 | 0.581253203454172 |
33 | 0.64227188995315 | 0.7154562200937 | 0.35772811004685 |
34 | 0.73395168524346 | 0.532096629513081 | 0.266048314756540 |
35 | 0.69309856973512 | 0.613802860529759 | 0.306901430264880 |
36 | 0.843144889535111 | 0.313710220929777 | 0.156855110464889 |
37 | 0.819762773499612 | 0.360474453000777 | 0.180237226500388 |
38 | 0.858783753449523 | 0.282432493100954 | 0.141216246550477 |
39 | 0.824671212562638 | 0.350657574874724 | 0.175328787437362 |
40 | 0.831298310505368 | 0.337403378989265 | 0.168701689494632 |
41 | 0.799369055281098 | 0.401261889437804 | 0.200630944718902 |
42 | 0.839153972702075 | 0.32169205459585 | 0.160846027297925 |
43 | 0.820172896018357 | 0.359654207963286 | 0.179827103981643 |
44 | 0.786194708258304 | 0.427610583483393 | 0.213805291741696 |
45 | 0.816042965095236 | 0.367914069809527 | 0.183957034904764 |
46 | 0.789291294547685 | 0.42141741090463 | 0.210708705452315 |
47 | 0.865950772621343 | 0.268098454757314 | 0.134049227378657 |
48 | 0.906514996803174 | 0.186970006393651 | 0.0934850031968255 |
49 | 0.886791303498899 | 0.226417393002203 | 0.113208696501101 |
50 | 0.891708131897757 | 0.216583736204486 | 0.108291868102243 |
51 | 0.882001371300719 | 0.235997257398562 | 0.117998628699281 |
52 | 0.901895479694886 | 0.196209040610228 | 0.098104520305114 |
53 | 0.932528745002496 | 0.134942509995008 | 0.0674712549975039 |
54 | 0.926625452792553 | 0.146749094414894 | 0.0733745472074471 |
55 | 0.908792704161523 | 0.182414591676955 | 0.0912072958384773 |
56 | 0.893839293850933 | 0.212321412298134 | 0.106160706149067 |
57 | 0.876232586220957 | 0.247534827558086 | 0.123767413779043 |
58 | 0.857060660004051 | 0.285878679991897 | 0.142939339995949 |
59 | 0.928029737423412 | 0.143940525153177 | 0.0719702625765884 |
60 | 0.91939778940985 | 0.161204421180301 | 0.0806022105901504 |
61 | 0.94355401914095 | 0.112891961718102 | 0.0564459808590508 |
62 | 0.947511863188112 | 0.104976273623776 | 0.0524881368118879 |
63 | 0.932726321343343 | 0.134547357313314 | 0.0672736786566569 |
64 | 0.915444914524453 | 0.169110170951094 | 0.084555085475547 |
65 | 0.900668528940778 | 0.198662942118445 | 0.0993314710592224 |
66 | 0.881185103461232 | 0.237629793077535 | 0.118814896538768 |
67 | 0.870164730484025 | 0.25967053903195 | 0.129835269515975 |
68 | 0.853166782169898 | 0.293666435660205 | 0.146833217830102 |
69 | 0.82437012693007 | 0.35125974613986 | 0.17562987306993 |
70 | 0.805629773698222 | 0.388740452603556 | 0.194370226301778 |
71 | 0.78868819234752 | 0.422623615304961 | 0.211311807652480 |
72 | 0.801465631961183 | 0.397068736077634 | 0.198534368038817 |
73 | 0.818581929467528 | 0.362836141064944 | 0.181418070532472 |
74 | 0.798456804599906 | 0.403086390800188 | 0.201543195400094 |
75 | 0.761498939084454 | 0.477002121831091 | 0.238501060915546 |
76 | 0.753022059954844 | 0.493955880090312 | 0.246977940045156 |
77 | 0.712300362596795 | 0.575399274806411 | 0.287699637403205 |
78 | 0.70091139563752 | 0.598177208724962 | 0.299088604362481 |
79 | 0.65644516244883 | 0.68710967510234 | 0.34355483755117 |
80 | 0.641585475847718 | 0.716829048304563 | 0.358414524152282 |
81 | 0.636095346056664 | 0.727809307886672 | 0.363904653943336 |
82 | 0.632890277621233 | 0.734219444757534 | 0.367109722378767 |
83 | 0.686062376649718 | 0.627875246700564 | 0.313937623350282 |
84 | 0.83769392390746 | 0.324612152185081 | 0.162306076092541 |
85 | 0.812513143296102 | 0.374973713407796 | 0.187486856703898 |
86 | 0.79661047639345 | 0.406779047213099 | 0.203389523606550 |
87 | 0.799502388168362 | 0.400995223663277 | 0.200497611831638 |
88 | 0.816464348235225 | 0.36707130352955 | 0.183535651764775 |
89 | 0.78339704810654 | 0.433205903786921 | 0.216602951893460 |
90 | 0.746605675799604 | 0.506788648400792 | 0.253394324200396 |
91 | 0.758321952872928 | 0.483356094254144 | 0.241678047127072 |
92 | 0.719801442525557 | 0.560397114948885 | 0.280198557474443 |
93 | 0.673945459705156 | 0.652109080589689 | 0.326054540294845 |
94 | 0.680211936059367 | 0.639576127881267 | 0.319788063940633 |
95 | 0.635989434518303 | 0.728021130963394 | 0.364010565481697 |
96 | 0.622614348812623 | 0.754771302374755 | 0.377385651187377 |
97 | 0.583688652688822 | 0.832622694622356 | 0.416311347311178 |
98 | 0.608739683393346 | 0.782520633213309 | 0.391260316606654 |
99 | 0.66180808467333 | 0.676383830653339 | 0.338191915326670 |
100 | 0.850353134968208 | 0.299293730063585 | 0.149646865031792 |
101 | 0.818146007339377 | 0.363707985321246 | 0.181853992660623 |
102 | 0.781838113767196 | 0.436323772465607 | 0.218161886232803 |
103 | 0.751481463813953 | 0.497037072372094 | 0.248518536186047 |
104 | 0.720712564533897 | 0.558574870932206 | 0.279287435466103 |
105 | 0.671101588471283 | 0.657796823057434 | 0.328898411528717 |
106 | 0.634438938384555 | 0.73112212323089 | 0.365561061615445 |
107 | 0.613740374375351 | 0.772519251249297 | 0.386259625624649 |
108 | 0.640538574810669 | 0.718922850378662 | 0.359461425189331 |
109 | 0.586797182138511 | 0.826405635722978 | 0.413202817861489 |
110 | 0.530111762437989 | 0.939776475124023 | 0.469888237562011 |
111 | 0.513751963155068 | 0.972496073689864 | 0.486248036844932 |
112 | 0.456716991694877 | 0.913433983389753 | 0.543283008305123 |
113 | 0.395358976063606 | 0.790717952127212 | 0.604641023936394 |
114 | 0.335341204770515 | 0.67068240954103 | 0.664658795229485 |
115 | 0.278887165775193 | 0.557774331550386 | 0.721112834224807 |
116 | 0.240928052818031 | 0.481856105636062 | 0.759071947181969 |
117 | 0.196069406138827 | 0.392138812277655 | 0.803930593861173 |
118 | 0.155777643743741 | 0.311555287487481 | 0.84422235625626 |
119 | 0.136830345126733 | 0.273660690253466 | 0.863169654873267 |
120 | 0.110100709649669 | 0.220201419299338 | 0.889899290350331 |
121 | 0.0851784656427788 | 0.170356931285558 | 0.914821534357221 |
122 | 0.085111019561369 | 0.170222039122738 | 0.914888980438631 |
123 | 0.127794206222588 | 0.255588412445177 | 0.872205793777412 |
124 | 0.142735721962214 | 0.285471443924429 | 0.857264278037786 |
125 | 0.161018428813273 | 0.322036857626546 | 0.838981571186727 |
126 | 0.160241071253657 | 0.320482142507313 | 0.839758928746343 |
127 | 0.133904565299101 | 0.267809130598202 | 0.866095434700899 |
128 | 0.0993811334141412 | 0.198762266828282 | 0.900618866585859 |
129 | 0.0717761353710451 | 0.143552270742090 | 0.928223864628955 |
130 | 0.0821705604727717 | 0.164341120945543 | 0.917829439527228 |
131 | 0.0705851616740477 | 0.141170323348095 | 0.929414838325952 |
132 | 0.798922578997165 | 0.40215484200567 | 0.201077421002835 |
133 | 0.74055293875381 | 0.51889412249238 | 0.25944706124619 |
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 |