Multiple Linear Regression - Estimated Regression Equation |
Person-Standards[t] = + 3.84738057444685 + 0.328446319879134Mistakes[t] -0.354503027876362Doubts[t] + 0.163700499059318`P-Expectations`[t] + 0.0505586668721037`P-Criticism`[t] + 0.440539729096576Organization[t] + 0.969401241072715Gender[t] + 0.162183660907544connected[t] -0.0530528042838888separate[t] -0.0554072382256775hapiness[t] + 0.0229805470290063depression[t] -0.0305734635206916sport[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) | 3.84738057444685 | 5.905611 | 0.6515 | 0.515821 | 0.25791 |
Mistakes | 0.328446319879134 | 0.057985 | 5.6643 | 0 | 0 |
Doubts | -0.354503027876362 | 0.12082 | -2.9342 | 0.003918 | 0.001959 |
`P-Expectations` | 0.163700499059318 | 0.108013 | 1.5156 | 0.131916 | 0.065958 |
`P-Criticism` | 0.0505586668721037 | 0.136007 | 0.3717 | 0.71066 | 0.35533 |
Organization | 0.440539729096576 | 0.081199 | 5.4255 | 0 | 0 |
Gender | 0.969401241072715 | 0.681577 | 1.4223 | 0.157198 | 0.078599 |
connected | 0.162183660907544 | 0.093628 | 1.7322 | 0.085471 | 0.042736 |
separate | -0.0530528042838888 | 0.088316 | -0.6007 | 0.549016 | 0.274508 |
hapiness | -0.0554072382256775 | 0.155465 | -0.3564 | 0.722087 | 0.361043 |
depression | 0.0229805470290063 | 0.116297 | 0.1976 | 0.843647 | 0.421824 |
sport | -0.0305734635206916 | 0.029014 | -1.0537 | 0.293847 | 0.146923 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.63489725645034 |
R-squared | 0.403094526248169 |
Adjusted R-squared | 0.355515104427371 |
F-TEST (value) | 8.47203498534248 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 138 |
p-value | 2.73046030230262e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.4320284582129 |
Sum Squared Residuals | 1625.47706864169 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 15 | 17.0740806190035 | -2.07408061900347 |
2 | 23 | 20.3715351757218 | 2.62846482427823 |
3 | 26 | 23.8342038204049 | 2.16579617959509 |
4 | 19 | 19.1361375836983 | -0.136137583698324 |
5 | 19 | 17.8599099766246 | 1.14009002337539 |
6 | 16 | 21.7663106350127 | -5.76631063501266 |
7 | 23 | 22.5447851304171 | 0.45521486958288 |
8 | 22 | 21.6444672848715 | 0.355532715128475 |
9 | 19 | 21.3266548035707 | -2.32665480357069 |
10 | 24 | 22.1223082531530 | 1.87769174684696 |
11 | 19 | 18.5262295388090 | 0.473770461190965 |
12 | 25 | 25.173089159465 | -0.173089159464980 |
13 | 23 | 24.7575932040346 | -1.75759320403456 |
14 | 31 | 26.3507924108332 | 4.64920758916675 |
15 | 29 | 25.5264459690533 | 3.47355403094668 |
16 | 18 | 20.8603358841111 | -2.86033588411107 |
17 | 17 | 20.2488931635272 | -3.24889316352721 |
18 | 22 | 18.6492767981611 | 3.35072320183892 |
19 | 21 | 22.6670139427815 | -1.6670139427815 |
20 | 24 | 23.1539926856376 | 0.846007314362358 |
21 | 22 | 21.7060695868265 | 0.29393041317349 |
22 | 16 | 16.8601322325904 | -0.860132232590415 |
23 | 22 | 23.8199561856778 | -1.81995618567777 |
24 | 21 | 21.8940678964582 | -0.89406789645821 |
25 | 25 | 21.3454471847145 | 3.6545528152855 |
26 | 22 | 21.7015637996342 | 0.298436200365845 |
27 | 24 | 21.8302673184335 | 2.16973268156649 |
28 | 21 | 24.533620097611 | -3.53362009761103 |
29 | 25 | 24.2424223646168 | 0.757577635383178 |
30 | 29 | 32.0966144885543 | -3.09661448855428 |
31 | 19 | 18.9849972890866 | 0.0150027109133627 |
32 | 29 | 23.2173401910371 | 5.78265980896294 |
33 | 25 | 23.7500060935151 | 1.24999390648491 |
34 | 19 | 21.6515247674234 | -2.65152476742336 |
35 | 27 | 24.4446310225521 | 2.55536897744787 |
36 | 25 | 23.8829977707982 | 1.11700222920184 |
37 | 23 | 20.8247811777539 | 2.17521882224607 |
38 | 24 | 22.219675981378 | 1.780324018622 |
39 | 23 | 22.0031827554594 | 0.996817244540579 |
40 | 25 | 23.0810358701340 | 1.91896412986595 |
41 | 23 | 20.4586980093626 | 2.54130199063740 |
42 | 22 | 21.8314665555461 | 0.168533444453873 |
43 | 32 | 25.1635104081427 | 6.83648959185733 |
44 | 22 | 22.1651352309697 | -0.165135230969673 |
45 | 18 | 22.5166334929058 | -4.51663349290582 |
46 | 19 | 19.5390899878252 | -0.539089987825227 |
47 | 23 | 18.3888232815704 | 4.61117671842957 |
48 | 19 | 22.3964936132109 | -3.39649361321093 |
49 | 16 | 19.697831673144 | -3.69783167314402 |
50 | 23 | 22.9263214138546 | 0.0736785861454138 |
51 | 17 | 19.1138547918179 | -2.1138547918179 |
52 | 17 | 23.2533948546980 | -6.25339485469803 |
53 | 28 | 23.2344950172915 | 4.7655049827085 |
54 | 24 | 19.0236089659178 | 4.97639103408225 |
55 | 21 | 16.6028763865689 | 4.39712361343114 |
56 | 14 | 18.1512862601056 | -4.15128626010555 |
57 | 21 | 21.3879960128425 | -0.387996012842517 |
58 | 20 | 23.0278722594801 | -3.02787225948007 |
59 | 25 | 22.2889892026020 | 2.71101079739803 |
60 | 20 | 22.2586736671871 | -2.25867366718711 |
61 | 17 | 19.6152562545267 | -2.61525625452672 |
62 | 26 | 27.3560883694443 | -1.35608836944427 |
63 | 17 | 17.1699587552859 | -0.169958755285926 |
64 | 17 | 22.2473931186814 | -5.24739311868136 |
65 | 24 | 23.4526619727744 | 0.547338027225605 |
66 | 30 | 26.7345931283344 | 3.26540687166560 |
67 | 25 | 25.4206022933960 | -0.420602293395971 |
68 | 15 | 22.381999432999 | -7.38199943299899 |
69 | 25 | 20.3830706580772 | 4.61692934192279 |
70 | 18 | 27.0793329461060 | -9.07933294610603 |
71 | 20 | 25.8280089161154 | -5.82800891611541 |
72 | 32 | 28.6888068626643 | 3.31119313733570 |
73 | 14 | 16.2529313064501 | -2.25293130645009 |
74 | 20 | 20.3604589824629 | -0.360458982462942 |
75 | 25 | 25.1125461880958 | -0.112546188095794 |
76 | 25 | 23.8187478400558 | 1.18125215994420 |
77 | 25 | 22.5193132774083 | 2.48068672259173 |
78 | 35 | 22.9243965699186 | 12.0756034300814 |
79 | 29 | 24.6692755730122 | 4.33072442698776 |
80 | 25 | 24.1651958351268 | 0.834804164873185 |
81 | 21 | 22.0832609370322 | -1.08326093703216 |
82 | 21 | 20.9245518809838 | 0.0754481190161932 |
83 | 24 | 24.1246397385776 | -0.124639738577637 |
84 | 26 | 21.9869535922507 | 4.01304640774934 |
85 | 24 | 22.7442343495376 | 1.25576565046242 |
86 | 20 | 22.4187044772761 | -2.41870447727607 |
87 | 24 | 22.0153542481331 | 1.98464575186689 |
88 | 18 | 20.1514057651612 | -2.15140576516123 |
89 | 17 | 17.0438853055198 | -0.0438853055197641 |
90 | 22 | 25.9721343619424 | -3.97213436194241 |
91 | 22 | 22.7662670233775 | -0.766267023377484 |
92 | 22 | 20.6834843640047 | 1.31651563599531 |
93 | 24 | 25.2559147275626 | -1.25591472756256 |
94 | 32 | 25.6201782731591 | 6.37982172684093 |
95 | 19 | 17.8458114318772 | 1.15418856812280 |
96 | 21 | 21.6633869624894 | -0.663386962489435 |
97 | 23 | 22.4324530082683 | 0.567546991731743 |
98 | 26 | 23.1149859583319 | 2.8850140416681 |
99 | 18 | 23.0488720328140 | -5.04887203281405 |
100 | 19 | 21.1443370556301 | -2.14433705563008 |
101 | 22 | 23.5597892702048 | -1.55978927020481 |
102 | 27 | 20.9678214080211 | 6.03217859197892 |
103 | 21 | 21.2005620328168 | -0.200562032816824 |
104 | 20 | 22.8546394220854 | -2.85463942208538 |
105 | 21 | 24.3554460231998 | -3.35544602319977 |
106 | 20 | 24.8628848564903 | -4.86288485649034 |
107 | 29 | 24.3453744834521 | 4.65462551654795 |
108 | 30 | 23.4053142810518 | 6.59468571894822 |
109 | 10 | 17.1394165818265 | -7.13941658182648 |
110 | 23 | 22.8129346642132 | 0.187065335786822 |
111 | 29 | 20.7277139995063 | 8.27228600049367 |
112 | 19 | 17.8561092704091 | 1.14389072959089 |
113 | 26 | 24.3659709416066 | 1.63402905839344 |
114 | 22 | 22.3815146209505 | -0.381514620950453 |
115 | 26 | 24.5302566879347 | 1.46974331206527 |
116 | 27 | 27.3931475092359 | -0.393147509235885 |
117 | 19 | 23.7776546605799 | -4.77765466057991 |
118 | 24 | 23.6462382828210 | 0.353761717179024 |
119 | 26 | 21.7193375628655 | 4.2806624371345 |
120 | 22 | 21.2368090873668 | 0.763190912633181 |
121 | 23 | 23.4706958555525 | -0.470695855552488 |
122 | 25 | 23.9388487562216 | 1.06115124377836 |
123 | 19 | 21.8886884837636 | -2.88868848376364 |
124 | 20 | 22.8889528010285 | -2.88895280102850 |
125 | 25 | 27.4208080341128 | -2.42080803411276 |
126 | 14 | 15.4670098941009 | -1.4670098941009 |
127 | 19 | 20.0104786659160 | -1.01047866591595 |
128 | 27 | 25.9033778101959 | 1.0966221898041 |
129 | 21 | 24.4784741301668 | -3.47847413016677 |
130 | 21 | 20.144250216385 | 0.855749783615 |
131 | 14 | 20.1815639394191 | -6.18156393941906 |
132 | 21 | 24.9376480249430 | -3.93764802494304 |
133 | 23 | 20.2649322711384 | 2.73506772886163 |
134 | 18 | 22.114907220133 | -4.114907220133 |
135 | 20 | 19.1566420127622 | 0.843357987237819 |
136 | 19 | 23.0840626345285 | -4.08406263452846 |
137 | 15 | 18.3728049300077 | -3.37280493000771 |
138 | 23 | 21.734451295496 | 1.26554870450399 |
139 | 26 | 26.6250982146054 | -0.625098214605373 |
140 | 21 | 22.7029277856591 | -1.70292778565911 |
141 | 13 | 16.1324708726183 | -3.13247087261825 |
142 | 24 | 21.7372936959061 | 2.26270630409391 |
143 | 17 | 18.8318118401506 | -1.83181184015059 |
144 | 21 | 23.2303674431162 | -2.23036744311617 |
145 | 28 | 26.0373592150529 | 1.96264078494714 |
146 | 22 | 21.0819354421218 | 0.91806455787817 |
147 | 25 | 19.7682000445561 | 5.23179995544386 |
148 | 27 | 23.4410968079910 | 3.55890319200903 |
149 | 25 | 20.9409358161876 | 4.05906418381244 |
150 | 21 | 22.5400752264709 | -1.54007522647091 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.50570433995483 | 0.98859132009034 | 0.49429566004517 |
16 | 0.56674172620239 | 0.86651654759522 | 0.43325827379761 |
17 | 0.452298813533519 | 0.904597627067038 | 0.547701186466481 |
18 | 0.332110814992127 | 0.664221629984254 | 0.667889185007873 |
19 | 0.267303909781978 | 0.534607819563956 | 0.732696090218022 |
20 | 0.180389473673302 | 0.360778947346605 | 0.819610526326698 |
21 | 0.243689732385566 | 0.487379464771132 | 0.756310267614434 |
22 | 0.201381783604653 | 0.402763567209307 | 0.798618216395347 |
23 | 0.151383518668402 | 0.302767037336803 | 0.848616481331598 |
24 | 0.101774536644420 | 0.203549073288840 | 0.89822546335558 |
25 | 0.178392699563939 | 0.356785399127879 | 0.82160730043606 |
26 | 0.127536616213236 | 0.255073232426471 | 0.872463383786764 |
27 | 0.0963459576229729 | 0.192691915245946 | 0.903654042377027 |
28 | 0.101773135977076 | 0.203546271954151 | 0.898226864022924 |
29 | 0.0708732161108077 | 0.141746432221615 | 0.929126783889192 |
30 | 0.0503888980557616 | 0.100777796111523 | 0.949611101944238 |
31 | 0.0371984558010342 | 0.0743969116020683 | 0.962801544198966 |
32 | 0.139957830049939 | 0.279915660099878 | 0.860042169950061 |
33 | 0.11020783320975 | 0.2204156664195 | 0.88979216679025 |
34 | 0.102568420982843 | 0.205136841965686 | 0.897431579017157 |
35 | 0.104132466527874 | 0.208264933055747 | 0.895867533472126 |
36 | 0.0785148637307427 | 0.157029727461485 | 0.921485136269257 |
37 | 0.0592968961664551 | 0.118593792332910 | 0.940703103833545 |
38 | 0.0436712748608008 | 0.0873425497216015 | 0.9563287251392 |
39 | 0.0308847513990878 | 0.0617695027981755 | 0.969115248600912 |
40 | 0.0247597715392034 | 0.0495195430784068 | 0.975240228460797 |
41 | 0.020825046104566 | 0.041650092209132 | 0.979174953895434 |
42 | 0.0140122926574750 | 0.0280245853149499 | 0.985987707342525 |
43 | 0.0262648031561995 | 0.052529606312399 | 0.9737351968438 |
44 | 0.0181581206699040 | 0.0363162413398079 | 0.981841879330096 |
45 | 0.0343676962722497 | 0.0687353925444993 | 0.96563230372775 |
46 | 0.0248017101182232 | 0.0496034202364465 | 0.975198289881777 |
47 | 0.0330221320535262 | 0.0660442641070524 | 0.966977867946474 |
48 | 0.0274650716435383 | 0.0549301432870766 | 0.972534928356462 |
49 | 0.0242033527697656 | 0.0484067055395312 | 0.975796647230234 |
50 | 0.0170747227485034 | 0.0341494454970068 | 0.982925277251497 |
51 | 0.0141249377000597 | 0.0282498754001195 | 0.98587506229994 |
52 | 0.0225905808629525 | 0.0451811617259049 | 0.977409419137047 |
53 | 0.0260422450595502 | 0.0520844901191005 | 0.97395775494045 |
54 | 0.0319035416421234 | 0.0638070832842469 | 0.968096458357877 |
55 | 0.0459365948531474 | 0.0918731897062949 | 0.954063405146853 |
56 | 0.0474004647938451 | 0.0948009295876902 | 0.952599535206155 |
57 | 0.0354790922841108 | 0.0709581845682216 | 0.96452090771589 |
58 | 0.0311187359873525 | 0.0622374719747051 | 0.968881264012647 |
59 | 0.0282562234707771 | 0.0565124469415543 | 0.971743776529223 |
60 | 0.0229621466571950 | 0.0459242933143901 | 0.977037853342805 |
61 | 0.0179580316593750 | 0.0359160633187499 | 0.982041968340625 |
62 | 0.0175086427764834 | 0.0350172855529669 | 0.982491357223517 |
63 | 0.0127062228689386 | 0.0254124457378773 | 0.987293777131061 |
64 | 0.0294327249642981 | 0.0588654499285961 | 0.970567275035702 |
65 | 0.0217859231999235 | 0.0435718463998471 | 0.978214076800076 |
66 | 0.0232569615561086 | 0.0465139231122173 | 0.976743038443891 |
67 | 0.0180492766859583 | 0.0360985533719165 | 0.981950723314042 |
68 | 0.0481481725352638 | 0.0962963450705275 | 0.951851827464736 |
69 | 0.0769206895131697 | 0.153841379026339 | 0.92307931048683 |
70 | 0.254396786046152 | 0.508793572092304 | 0.745603213953848 |
71 | 0.35713622578779 | 0.71427245157558 | 0.64286377421221 |
72 | 0.374981726767687 | 0.749963453535374 | 0.625018273232313 |
73 | 0.360148136171089 | 0.720296272342178 | 0.639851863828911 |
74 | 0.318918895280034 | 0.637837790560069 | 0.681081104719966 |
75 | 0.276870100245021 | 0.553740200490042 | 0.723129899754979 |
76 | 0.246145712454039 | 0.492291424908078 | 0.753854287545961 |
77 | 0.230566989347688 | 0.461133978695377 | 0.769433010652312 |
78 | 0.801891704609365 | 0.396216590781270 | 0.198108295390635 |
79 | 0.849722924681618 | 0.300554150636765 | 0.150277075318382 |
80 | 0.823498465089975 | 0.35300306982005 | 0.176501534910025 |
81 | 0.791968672453814 | 0.416062655092372 | 0.208031327546186 |
82 | 0.759887183668997 | 0.480225632662007 | 0.240112816331003 |
83 | 0.727155970032122 | 0.545688059935756 | 0.272844029967878 |
84 | 0.739344589554657 | 0.521310820890686 | 0.260655410445343 |
85 | 0.705830574191575 | 0.58833885161685 | 0.294169425808425 |
86 | 0.687834717588444 | 0.624330564823111 | 0.312165282411555 |
87 | 0.66035959281959 | 0.67928081436082 | 0.33964040718041 |
88 | 0.655934711249567 | 0.688130577500865 | 0.344065288750433 |
89 | 0.606905685581063 | 0.786188628837873 | 0.393094314418937 |
90 | 0.617471269104713 | 0.765057461790574 | 0.382528730895287 |
91 | 0.567045531160929 | 0.865908937678142 | 0.432954468839071 |
92 | 0.519186476644015 | 0.96162704671197 | 0.480813523355985 |
93 | 0.481632037862927 | 0.963264075725854 | 0.518367962137073 |
94 | 0.571964556235816 | 0.856070887528369 | 0.428035443764184 |
95 | 0.525916196207305 | 0.94816760758539 | 0.474083803792695 |
96 | 0.474646757473258 | 0.949293514946515 | 0.525353242526742 |
97 | 0.423535623689969 | 0.847071247379938 | 0.576464376310031 |
98 | 0.400514037291615 | 0.80102807458323 | 0.599485962708385 |
99 | 0.430630208242826 | 0.861260416485652 | 0.569369791757174 |
100 | 0.389904921214165 | 0.77980984242833 | 0.610095078785835 |
101 | 0.366467133175697 | 0.732934266351393 | 0.633532866824303 |
102 | 0.472992575788364 | 0.945985151576728 | 0.527007424211636 |
103 | 0.42110495783457 | 0.84220991566914 | 0.57889504216543 |
104 | 0.398243740269089 | 0.796487480538178 | 0.601756259730911 |
105 | 0.372189956512127 | 0.744379913024254 | 0.627810043487873 |
106 | 0.503155134490523 | 0.993689731018955 | 0.496844865509477 |
107 | 0.680833084565609 | 0.638333830868783 | 0.319166915434391 |
108 | 0.769586899217357 | 0.460826201565285 | 0.230413100782643 |
109 | 0.925777693690912 | 0.148444612618175 | 0.0742223063090876 |
110 | 0.901973873934944 | 0.196052252130111 | 0.0980261260650557 |
111 | 0.95741069029651 | 0.0851786194069823 | 0.0425893097034911 |
112 | 0.9417369550456 | 0.116526089908801 | 0.0582630449544005 |
113 | 0.923375258518779 | 0.153249482962442 | 0.0766247414812212 |
114 | 0.897374512352715 | 0.205250975294570 | 0.102625487647285 |
115 | 0.87818708424883 | 0.243625831502339 | 0.121812915751169 |
116 | 0.843947118202328 | 0.312105763595345 | 0.156052881797672 |
117 | 0.855798477597275 | 0.288403044805450 | 0.144201522402725 |
118 | 0.81782491081764 | 0.364350178364719 | 0.182175089182360 |
119 | 0.890948429857229 | 0.218103140285542 | 0.109051570142771 |
120 | 0.853662754272916 | 0.292674491454167 | 0.146337245727083 |
121 | 0.821453642151388 | 0.357092715697224 | 0.178546357848612 |
122 | 0.773250107104297 | 0.453499785791406 | 0.226749892895703 |
123 | 0.787732364398066 | 0.424535271203867 | 0.212267635601933 |
124 | 0.770894576792114 | 0.458210846415771 | 0.229105423207885 |
125 | 0.714298073395843 | 0.571403853208315 | 0.285701926604157 |
126 | 0.682926254829113 | 0.634147490341774 | 0.317073745170887 |
127 | 0.598221540539809 | 0.803556918920382 | 0.401778459460191 |
128 | 0.701534819377031 | 0.596930361245939 | 0.298465180622970 |
129 | 0.654642622028861 | 0.690714755942277 | 0.345357377971139 |
130 | 0.780203156252218 | 0.439593687495565 | 0.219796843747782 |
131 | 0.705299451597922 | 0.589401096804156 | 0.294700548402078 |
132 | 0.732830995100679 | 0.534338009798642 | 0.267169004899321 |
133 | 0.74239496538005 | 0.515210069239901 | 0.257605034619950 |
134 | 0.632528259468402 | 0.734943481063196 | 0.367471740531598 |
135 | 0.499343199243652 | 0.998686398487304 | 0.500656800756348 |
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 | 16 | 0.132231404958678 | NOK |
10% type I error level | 33 | 0.272727272727273 | NOK |