Multiple Linear Regression - Estimated Regression Equation |
Anxiety[t] = + 72.6760102555913 -18.2843507953355Gender[t] -0.0886231903464793Concern[t] -0.397485256901703Concern_G[t] -0.603213979753444Doubts[t] + 1.07713437867055Doubts_G[t] -0.0391215489632878Expectations[t] + 1.21866622210472Expectations_G[t] -0.139015564284004Criticism[t] -1.39668931547673Criticism_G[t] -0.615310967424411Perstandards[t] + 1.19279724420671Perstandards_G[t] + 0.248985111510631Organization[t] -0.877901085869994Organization_G[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) | 72.6760102555913 | 14.773011 | 4.9195 | 2e-06 | 1e-06 |
Gender | -18.2843507953355 | 18.840008 | -0.9705 | 0.333492 | 0.166746 |
Concern | -0.0886231903464793 | 0.391181 | -0.2266 | 0.821107 | 0.410553 |
Concern_G | -0.397485256901703 | 0.500598 | -0.794 | 0.428546 | 0.214273 |
Doubts | -0.603213979753444 | 0.724333 | -0.8328 | 0.406405 | 0.203202 |
Doubts_G | 1.07713437867055 | 0.919125 | 1.1719 | 0.243251 | 0.121626 |
Expectations | -0.0391215489632878 | 0.680796 | -0.0575 | 0.954258 | 0.477129 |
Expectations_G | 1.21866622210472 | 0.84632 | 1.44 | 0.152144 | 0.076072 |
Criticism | -0.139015564284004 | 0.845179 | -0.1645 | 0.869593 | 0.434797 |
Criticism_G | -1.39668931547673 | 1.054501 | -1.3245 | 0.187526 | 0.093763 |
Perstandards | -0.615310967424411 | 0.521018 | -1.181 | 0.239642 | 0.119821 |
Perstandards_G | 1.19279724420671 | 0.651105 | 1.832 | 0.069114 | 0.034557 |
Organization | 0.248985111510631 | 0.464372 | 0.5362 | 0.5927 | 0.29635 |
Organization_G | -0.877901085869994 | 0.6355 | -1.3814 | 0.169378 | 0.084689 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.347149841668879 |
R-squared | 0.120513012570728 |
Adjusted R-squared | 0.0376627891172459 |
F-TEST (value) | 1.45458886587545 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 138 |
p-value | 0.14242126291324 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 13.1720315014651 |
Sum Squared Residuals | 23943.3331148311 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 69 | 54.3638184708039 | 14.6361815291961 |
2 | 53 | 56.756888459036 | -3.75688845903594 |
3 | 43 | 42.7631314427054 | 0.236868557294558 |
4 | 60 | 54.6314157855024 | 5.36858421449755 |
5 | 49 | 48.7234392504422 | 0.276560749557806 |
6 | 62 | 50.5215573373586 | 11.4784426626414 |
7 | 45 | 65.9458584258515 | -20.9458584258515 |
8 | 50 | 48.3392865382151 | 1.66071346178488 |
9 | 75 | 50.6269282264753 | 24.3730717735247 |
10 | 82 | 50.5594878687203 | 31.4405121312797 |
11 | 60 | 54.5058642119511 | 5.49413578804887 |
12 | 59 | 47.984235324007 | 11.015764675993 |
13 | 21 | 41.4143304679976 | -20.4143304679976 |
14 | 62 | 58.3396476003427 | 3.66035239965732 |
15 | 54 | 52.175528108947 | 1.82447189105304 |
16 | 47 | 52.4085312959759 | -5.40853129597586 |
17 | 59 | 52.5312266872646 | 6.46877331273542 |
18 | 37 | 48.1699938345437 | -11.1699938345437 |
19 | 43 | 50.2548639454205 | -7.25486394542053 |
20 | 48 | 47.3389951232111 | 0.661004876788916 |
21 | 79 | 52.7829847417606 | 26.2170152582394 |
22 | 62 | 47.8581274342114 | 14.1418725657886 |
23 | 16 | 48.9513193593953 | -32.9513193593953 |
24 | 38 | 52.3114318939989 | -14.3114318939989 |
25 | 58 | 52.448542436178 | 5.551457563822 |
26 | 60 | 52.3977809909602 | 7.60221900903984 |
27 | 67 | 57.9110115206468 | 9.08898847935319 |
28 | 55 | 46.7014365860183 | 8.29856341398165 |
29 | 47 | 43.3355531005602 | 3.66444689943983 |
30 | 59 | 55.9464219714914 | 3.0535780285086 |
31 | 49 | 46.948994854905 | 2.05100514509504 |
32 | 47 | 57.1243962700847 | -10.1243962700847 |
33 | 57 | 46.1833733211462 | 10.8166266788538 |
34 | 39 | 51.792204054069 | -12.792204054069 |
35 | 49 | 47.3457317387206 | 1.65426826127944 |
36 | 26 | 42.6400335417166 | -16.6400335417166 |
37 | 53 | 51.4152831145428 | 1.58471688545724 |
38 | 75 | 57.4198911602466 | 17.5801088397534 |
39 | 65 | 46.874705028133 | 18.125294971867 |
40 | 49 | 59.9868724580845 | -10.9868724580845 |
41 | 48 | 49.6619347117771 | -1.66193471177712 |
42 | 45 | 49.2481068182347 | -4.2481068182347 |
43 | 31 | 55.4207386664032 | -24.4207386664032 |
44 | 61 | 57.8539364308592 | 3.14606356914077 |
45 | 49 | 54.7525815985101 | -5.75258159851009 |
46 | 69 | 49.4680779838661 | 19.5319220161339 |
47 | 54 | 50.1170080782535 | 3.88299192174652 |
48 | 80 | 59.0828824449033 | 20.9171175550967 |
49 | 57 | 52.5578303916966 | 4.4421696083034 |
50 | 34 | 51.6337692068881 | -17.6337692068881 |
51 | 69 | 59.3519568036842 | 9.6480431963158 |
52 | 44 | 48.5058719132579 | -4.50587191325787 |
53 | 70 | 57.0977346550605 | 12.9022653449395 |
54 | 51 | 59.6312421533678 | -8.63124215336784 |
55 | 66 | 50.0130019927011 | 15.9869980072989 |
56 | 18 | 45.3696024007475 | -27.3696024007475 |
57 | 74 | 48.9037047927905 | 25.0962952072095 |
58 | 59 | 55.373893696294 | 3.62610630370595 |
59 | 48 | 57.467058825437 | -9.46705882543698 |
60 | 55 | 52.1915748878096 | 2.80842511219037 |
61 | 44 | 49.3027241198105 | -5.30272411981049 |
62 | 56 | 50.8183255513281 | 5.18167444867189 |
63 | 65 | 56.7285753247021 | 8.27142467529785 |
64 | 77 | 55.3186778611088 | 21.6813221388912 |
65 | 46 | 44.9660624897309 | 1.03393751026914 |
66 | 70 | 55.4770561053846 | 14.5229438946154 |
67 | 39 | 54.0082059736741 | -15.0082059736741 |
68 | 55 | 56.1357794838725 | -1.13577948387251 |
69 | 44 | 59.3705363221604 | -15.3705363221604 |
70 | 45 | 59.994862852241 | -14.994862852241 |
71 | 45 | 53.8081247876397 | -8.80812478763971 |
72 | 49 | 54.7268609575506 | -5.72686095755061 |
73 | 65 | 48.1788015862795 | 16.8211984137205 |
74 | 45 | 50.1788692358464 | -5.17886923584638 |
75 | 71 | 54.3201852845208 | 16.6798147154792 |
76 | 48 | 49.3032560816701 | -1.30325608167011 |
77 | 41 | 42.1853056644682 | -1.18530566446815 |
78 | 40 | 53.7050932937603 | -13.7050932937603 |
79 | 64 | 52.507566700967 | 11.492433299033 |
80 | 56 | 54.4318807995962 | 1.56811920040381 |
81 | 52 | 56.801893851142 | -4.80189385114196 |
82 | 41 | 46.0016179378135 | -5.0016179378135 |
83 | 42 | 52.6101509812274 | -10.6101509812274 |
84 | 54 | 61.3719929802723 | -7.37199298027229 |
85 | 40 | 47.6858441527095 | -7.68584415270948 |
86 | 40 | 49.2862248304236 | -9.2862248304236 |
87 | 51 | 56.2286862622773 | -5.22868626227735 |
88 | 48 | 60.3782975014772 | -12.3782975014772 |
89 | 80 | 54.7633509762218 | 25.2366490237782 |
90 | 38 | 56.3554706277557 | -18.3554706277557 |
91 | 57 | 56.4178544845084 | 0.582145515491567 |
92 | 28 | 41.4137278579547 | -13.4137278579547 |
93 | 51 | 53.1227861404026 | -2.12278614040263 |
94 | 46 | 53.7161123103079 | -7.71611231030791 |
95 | 58 | 57.3261414433805 | 0.673858556619482 |
96 | 67 | 51.3196932142173 | 15.6803067857827 |
97 | 72 | 44.9981539706822 | 27.0018460293178 |
98 | 26 | 49.1717129113081 | -23.1717129113081 |
99 | 54 | 53.1816787688382 | 0.818321231161827 |
100 | 53 | 57.9551873231052 | -4.95518732310525 |
101 | 64 | 49.7722165380226 | 14.2277834619774 |
102 | 47 | 52.7929689401532 | -5.79296894015319 |
103 | 43 | 57.0417970305472 | -14.0417970305472 |
104 | 66 | 49.6600438087346 | 16.3399561912654 |
105 | 54 | 52.3062501181034 | 1.6937498818966 |
106 | 62 | 58.1121029769897 | 3.88789702301025 |
107 | 52 | 50.0602522771618 | 1.93974772283823 |
108 | 64 | 52.6199354856922 | 11.3800645143078 |
109 | 55 | 52.136149087221 | 2.86385091277905 |
110 | 57 | 52.8483706237815 | 4.15162937621852 |
111 | 74 | 55.1368991665201 | 18.8631008334799 |
112 | 32 | 47.616619486964 | -15.616619486964 |
113 | 38 | 54.5538279595515 | -16.5538279595515 |
114 | 66 | 54.7906960849073 | 11.2093039150927 |
115 | 37 | 56.1293465565965 | -19.1293465565965 |
116 | 26 | 47.2855996360277 | -21.2855996360277 |
117 | 64 | 52.9498859500895 | 11.0501140499105 |
118 | 28 | 45.4038094436904 | -17.4038094436904 |
119 | 66 | 58.6679728782566 | 7.3320271217434 |
120 | 65 | 54.1547378598272 | 10.8452621401728 |
121 | 48 | 48.3190725548548 | -0.31907255485481 |
122 | 44 | 55.9584786217907 | -11.9584786217907 |
123 | 64 | 58.8418847891997 | 5.15811521080032 |
124 | 39 | 45.5953916958758 | -6.59539169587577 |
125 | 50 | 51.4220760158187 | -1.42207601581875 |
126 | 66 | 49.9094361148359 | 16.0905638851641 |
127 | 48 | 52.6106421932279 | -4.6106421932279 |
128 | 70 | 55.7424149226492 | 14.2575850773508 |
129 | 66 | 55.2961290735578 | 10.7038709264422 |
130 | 61 | 52.4407843589768 | 8.55921564102318 |
131 | 31 | 48.6628685228663 | -17.6628685228663 |
132 | 61 | 52.6162728602939 | 8.38372713970613 |
133 | 54 | 40.3170119392343 | 13.6829880607657 |
134 | 34 | 40.77515564456 | -6.77515564455995 |
135 | 62 | 60.2394803000263 | 1.76051969997375 |
136 | 47 | 53.9750292190912 | -6.97502921909117 |
137 | 52 | 50.7425227201104 | 1.25747727988958 |
138 | 37 | 55.2124921360615 | -18.2124921360615 |
139 | 46 | 48.2158750040394 | -2.21587500403941 |
140 | 38 | 51.7674637360396 | -13.7674637360396 |
141 | 63 | 52.448542436178 | 10.551457563822 |
142 | 34 | 54.21631513015 | -20.21631513015 |
143 | 46 | 47.6041337594669 | -1.60413375946688 |
144 | 40 | 47.3195699213459 | -7.31956992134593 |
145 | 30 | 47.6858441527095 | -17.6858441527095 |
146 | 35 | 48.8001238315276 | -13.8001238315276 |
147 | 51 | 48.3190725548548 | 2.68092744514519 |
148 | 56 | 55.0940722754602 | 0.905927724539765 |
149 | 68 | 50.8080556066677 | 17.1919443933323 |
150 | 39 | 48.8113551555407 | -9.81135515554065 |
151 | 44 | 56.3746342520892 | -12.3746342520892 |
152 | 58 | 48.8113551555407 | 9.18864484445935 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
17 | 0.993011189927822 | 0.0139776201443569 | 0.00698881007217847 |
18 | 0.98409250052893 | 0.0318149989421398 | 0.0159074994710699 |
19 | 0.967611931080054 | 0.0647761378398914 | 0.0323880689199457 |
20 | 0.946504245355266 | 0.106991509289469 | 0.0534957546447343 |
21 | 0.924863205718669 | 0.150273588562663 | 0.0751367942813315 |
22 | 0.947476654604437 | 0.105046690791126 | 0.052523345395563 |
23 | 0.986785250249528 | 0.026429499500944 | 0.013214749750472 |
24 | 0.988967568736801 | 0.0220648625263985 | 0.0110324312631992 |
25 | 0.982004059488908 | 0.0359918810221842 | 0.0179959405110921 |
26 | 0.978016852696771 | 0.0439662946064571 | 0.0219831473032286 |
27 | 0.966708522497636 | 0.0665829550047288 | 0.0332914775023644 |
28 | 0.951227384683958 | 0.0975452306320846 | 0.0487726153160423 |
29 | 0.930148832090908 | 0.139702335818183 | 0.0698511679090917 |
30 | 0.903415122008511 | 0.193169755982978 | 0.0965848779914889 |
31 | 0.875502607226864 | 0.248994785546271 | 0.124497392773136 |
32 | 0.874062694154808 | 0.251874611690385 | 0.125937305845192 |
33 | 0.864689551472098 | 0.270620897055804 | 0.135310448527902 |
34 | 0.899669505928725 | 0.200660988142549 | 0.100330494071275 |
35 | 0.867545579731752 | 0.264908840536497 | 0.132454420268248 |
36 | 0.858205122074806 | 0.283589755850388 | 0.141794877925194 |
37 | 0.819415736489875 | 0.36116852702025 | 0.180584263510125 |
38 | 0.829587624476929 | 0.340824751046142 | 0.170412375523071 |
39 | 0.857827692829858 | 0.284344614340283 | 0.142172307170142 |
40 | 0.837334583935858 | 0.325330832128284 | 0.162665416064142 |
41 | 0.79853024261408 | 0.402939514771839 | 0.20146975738592 |
42 | 0.760336248466846 | 0.479327503066307 | 0.239663751533154 |
43 | 0.858842159920858 | 0.282315680158284 | 0.141157840079142 |
44 | 0.823436783953887 | 0.353126432092227 | 0.176563216046114 |
45 | 0.787486694615511 | 0.425026610768977 | 0.212513305384488 |
46 | 0.801153996295177 | 0.397692007409647 | 0.198846003704823 |
47 | 0.764631825723023 | 0.470736348553955 | 0.235368174276977 |
48 | 0.792697992771212 | 0.414604014457575 | 0.207302007228788 |
49 | 0.752061918576068 | 0.495876162847864 | 0.247938081423932 |
50 | 0.77248527112654 | 0.455029457746921 | 0.22751472887346 |
51 | 0.758844211689047 | 0.482311576621906 | 0.241155788310953 |
52 | 0.761560891487553 | 0.476878217024893 | 0.238439108512447 |
53 | 0.748002448828933 | 0.503995102342135 | 0.251997551171068 |
54 | 0.742337441401521 | 0.515325117196958 | 0.257662558598479 |
55 | 0.76908732312433 | 0.461825353751339 | 0.230912676875669 |
56 | 0.900287724349881 | 0.199424551300238 | 0.0997122756501191 |
57 | 0.94041682605917 | 0.119166347881661 | 0.0595831739408303 |
58 | 0.927133981994822 | 0.145732036010356 | 0.0728660180051778 |
59 | 0.917407796907363 | 0.165184406185273 | 0.0825922030926367 |
60 | 0.896201464766388 | 0.207597070467224 | 0.103798535233612 |
61 | 0.88690292656197 | 0.226194146876061 | 0.11309707343803 |
62 | 0.8637104296378 | 0.2725791407244 | 0.1362895703622 |
63 | 0.850149571419251 | 0.299700857161498 | 0.149850428580749 |
64 | 0.883075543929768 | 0.233848912140465 | 0.116924456070232 |
65 | 0.85703286696832 | 0.285934266063361 | 0.14296713303168 |
66 | 0.852728348258079 | 0.294543303483842 | 0.147271651741921 |
67 | 0.866158814868496 | 0.267682370263009 | 0.133841185131504 |
68 | 0.836499418234922 | 0.327001163530157 | 0.163500581765078 |
69 | 0.86090612562603 | 0.278187748747939 | 0.13909387437397 |
70 | 0.87102847663782 | 0.257943046724361 | 0.128971523362181 |
71 | 0.857297971842901 | 0.285404056314198 | 0.142702028157099 |
72 | 0.834013687164294 | 0.331972625671412 | 0.165986312835706 |
73 | 0.845142940580092 | 0.309714118839816 | 0.154857059419908 |
74 | 0.818121459554863 | 0.363757080890275 | 0.181878540445137 |
75 | 0.887986837684921 | 0.224026324630158 | 0.112013162315079 |
76 | 0.861830566646494 | 0.276338866707012 | 0.138169433353506 |
77 | 0.831877520760098 | 0.336244958479804 | 0.168122479239902 |
78 | 0.823379160522374 | 0.353241678955252 | 0.176620839477626 |
79 | 0.823033893053945 | 0.353932213892109 | 0.176966106946054 |
80 | 0.79834189351222 | 0.403316212975561 | 0.20165810648778 |
81 | 0.766543556819353 | 0.466912886361295 | 0.233456443180647 |
82 | 0.732180899938391 | 0.535638200123218 | 0.267819100061609 |
83 | 0.717415928423208 | 0.565168143153583 | 0.282584071576792 |
84 | 0.695750031194612 | 0.608499937610777 | 0.304249968805388 |
85 | 0.671173177776733 | 0.657653644446534 | 0.328826822223267 |
86 | 0.650060262549609 | 0.699879474900782 | 0.349939737450391 |
87 | 0.619386048264347 | 0.761227903471306 | 0.380613951735653 |
88 | 0.635310378066292 | 0.729379243867416 | 0.364689621933708 |
89 | 0.744296293412358 | 0.511407413175283 | 0.255703706587641 |
90 | 0.790577891707685 | 0.418844216584631 | 0.209422108292315 |
91 | 0.752254687485422 | 0.495490625029155 | 0.247745312514578 |
92 | 0.744547184597271 | 0.510905630805457 | 0.255452815402729 |
93 | 0.704799519605392 | 0.590400960789217 | 0.295200480394608 |
94 | 0.68274148075786 | 0.63451703848428 | 0.31725851924214 |
95 | 0.640339815873609 | 0.719320368252782 | 0.359660184126391 |
96 | 0.636982204241028 | 0.726035591517945 | 0.363017795758972 |
97 | 0.793692001454647 | 0.412615997090706 | 0.206307998545353 |
98 | 0.866756902539521 | 0.266486194920957 | 0.133243097460479 |
99 | 0.834299851761956 | 0.331400296476089 | 0.165700148238044 |
100 | 0.814995185122772 | 0.370009629754456 | 0.185004814877228 |
101 | 0.835357536190926 | 0.329284927618149 | 0.164642463809074 |
102 | 0.809877089523747 | 0.380245820952507 | 0.190122910476253 |
103 | 0.848739996609014 | 0.302520006781972 | 0.151260003390986 |
104 | 0.861887605769285 | 0.276224788461429 | 0.138112394230715 |
105 | 0.8268519619251 | 0.346296076149801 | 0.1731480380749 |
106 | 0.794867006354846 | 0.410265987290308 | 0.205132993645154 |
107 | 0.75024671807076 | 0.499506563858481 | 0.249753281929241 |
108 | 0.722289379879221 | 0.555421240241558 | 0.277710620120779 |
109 | 0.676155056211538 | 0.647689887576923 | 0.323844943788462 |
110 | 0.625793272674862 | 0.748413454650275 | 0.374206727325138 |
111 | 0.667074436112503 | 0.665851127774995 | 0.332925563887498 |
112 | 0.689763140094874 | 0.620473719810253 | 0.310236859905126 |
113 | 0.708621907715262 | 0.582756184569475 | 0.291378092284737 |
114 | 0.667938539895975 | 0.66412292020805 | 0.332061460104025 |
115 | 0.646886884055638 | 0.706226231888724 | 0.353113115944362 |
116 | 0.74725266692761 | 0.505494666144779 | 0.252747333072389 |
117 | 0.722139331172905 | 0.55572133765419 | 0.277860668827095 |
118 | 0.764163997707593 | 0.471672004584814 | 0.235836002292407 |
119 | 0.730826707737409 | 0.538346584525182 | 0.269173292262591 |
120 | 0.693171687906981 | 0.613656624186037 | 0.306828312093019 |
121 | 0.624198189317981 | 0.751603621364038 | 0.375801810682019 |
122 | 0.614192461153408 | 0.771615077693184 | 0.385807538846592 |
123 | 0.594430251244949 | 0.8111394975101 | 0.40556974875505 |
124 | 0.537478720406488 | 0.925042559187023 | 0.462521279593512 |
125 | 0.455831809298588 | 0.911663618597177 | 0.544168190701412 |
126 | 0.455880597656718 | 0.911761195313436 | 0.544119402343282 |
127 | 0.631488340992976 | 0.737023318014048 | 0.368511659007024 |
128 | 0.545898253825565 | 0.90820349234887 | 0.454101746174435 |
129 | 0.450936686695437 | 0.901873373390873 | 0.549063313304563 |
130 | 0.451379583797849 | 0.902759167595698 | 0.548620416202151 |
131 | 0.537093601376273 | 0.925812797247454 | 0.462906398623727 |
132 | 0.419605588911661 | 0.839211177823322 | 0.580394411088339 |
133 | 0.387109928355542 | 0.774219856711083 | 0.612890071644458 |
134 | 0.268599426161481 | 0.537198852322962 | 0.731400573838519 |
135 | 0.157151935272355 | 0.31430387054471 | 0.842848064727645 |
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 | 6 | 0.0504201680672269 | NOK |
10% type I error level | 9 | 0.0756302521008403 | OK |