Multiple Linear Regression - Estimated Regression Equation |
Anxiety[t] = + 56.071093699893 -0.342980598360856Concern[t] + 0.0774281170230556Doubts[t] + 0.306566415060552Pexpectations[t] + 0.00433514557748334Standards[t] -0.0653485310147079Organization[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) | 56.071093699893 | 9.180962 | 6.1073 | 0 | 0 |
Concern | -0.342980598360856 | 0.247037 | -1.3884 | 0.167138 | 0.083569 |
Doubts | 0.0774281170230556 | 0.448984 | 0.1725 | 0.863321 | 0.431661 |
Pexpectations | 0.306566415060552 | 0.355773 | 0.8617 | 0.390271 | 0.195135 |
Standards | 0.00433514557748334 | 0.314703 | 0.0138 | 0.989028 | 0.494514 |
Organization | -0.0653485310147079 | 0.317583 | -0.2058 | 0.837258 | 0.418629 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.138481637077551 |
R-squared | 0.0191771638076785 |
Adjusted R-squared | -0.0144126593495926 |
F-TEST (value) | 0.570921844925736 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 146 |
p-value | 0.722183276880675 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 13.5237287475725 |
Sum Squared Residuals | 26702.1209287361 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 69 | 50.923612785696 | 18.076387214304 |
2 | 53 | 53.0468449068757 | -0.0468449068757286 |
3 | 43 | 52.5673326130335 | -9.56733261303352 |
4 | 60 | 48.1633693466911 | 11.8366306533089 |
5 | 49 | 51.5206978142496 | -2.52069781424960 |
6 | 62 | 53.0494159597338 | 8.95058404026621 |
7 | 45 | 52.4729485643365 | -7.47294856433652 |
8 | 50 | 51.3269021345288 | -1.32690213452875 |
9 | 75 | 52.1196658261082 | 22.8803341738918 |
10 | 82 | 51.4009657088077 | 30.5990342911923 |
11 | 60 | 52.9740770472035 | 7.02592295279655 |
12 | 59 | 53.5347331760122 | 5.4652668239878 |
13 | 21 | 50.7007652306985 | -29.7007652306985 |
14 | 62 | 54.4129623778829 | 7.58703762211707 |
15 | 54 | 52.0042104825867 | 1.99578951741330 |
16 | 47 | 52.7284635106518 | -5.72846351065177 |
17 | 59 | 51.0905338893056 | 7.90946611069438 |
18 | 37 | 53.267739590457 | -16.267739590457 |
19 | 43 | 48.5580467880261 | -5.55804678802611 |
20 | 48 | 51.0348543221454 | -3.03485432214543 |
21 | 79 | 49.0996153596478 | 29.9003846403522 |
22 | 62 | 52.797973124992 | 9.20202687500804 |
23 | 16 | 50.8791033114142 | -34.8791033114142 |
24 | 38 | 49.9754205859433 | -11.9754205859433 |
25 | 58 | 53.8123652433583 | 4.18763475664166 |
26 | 60 | 54.0534508833973 | 5.94654911660266 |
27 | 67 | 52.0647206049289 | 14.9352793950712 |
28 | 55 | 52.5975760990848 | 2.40242390091524 |
29 | 47 | 51.9950382913599 | -4.99503829135991 |
30 | 59 | 51.3500018487912 | 7.64999815120876 |
31 | 49 | 51.598434963578 | -2.59843496357802 |
32 | 47 | 52.7957662761058 | -5.79576627610583 |
33 | 57 | 51.8922185206883 | 5.10778147931171 |
34 | 39 | 48.4566236941115 | -9.45662369411146 |
35 | 49 | 52.4715960369136 | -3.47159603691364 |
36 | 26 | 52.1088778656368 | -26.1088778656368 |
37 | 53 | 49.4595398992844 | 3.54046010071556 |
38 | 75 | 53.6959221791612 | 21.3040778208388 |
39 | 65 | 49.1830969244841 | 15.8169030755159 |
40 | 49 | 55.1508252757434 | -6.15082527574342 |
41 | 48 | 50.7272161342836 | -2.72721613428358 |
42 | 45 | 50.981218239303 | -5.98121823930296 |
43 | 31 | 53.0970730578881 | -22.0970730578881 |
44 | 61 | 54.8849651251235 | 6.11503487487649 |
45 | 49 | 53.5149969661194 | -4.51499696611943 |
46 | 69 | 51.6611246251882 | 17.3388753748118 |
47 | 54 | 50.5270555730465 | 3.47294442695347 |
48 | 80 | 51.8879254011736 | 28.1120745988264 |
49 | 57 | 52.9814085593146 | 4.01859144068545 |
50 | 34 | 51.5958652737432 | -17.5958652737432 |
51 | 69 | 54.1945498922389 | 14.8054501077611 |
52 | 44 | 51.6239155889786 | -7.62391558897865 |
53 | 70 | 49.4148940919261 | 20.5851059080739 |
54 | 51 | 53.6560973379842 | -2.65609733798425 |
55 | 66 | 52.6358258340566 | 13.3641741659434 |
56 | 18 | 51.1128545054779 | -33.1128545054779 |
57 | 74 | 50.6985611078588 | 23.3014388921412 |
58 | 59 | 53.5695441832413 | 5.43045581675869 |
59 | 48 | 53.2367480803545 | -5.23674808035455 |
60 | 55 | 50.2998120408944 | 4.70018795910561 |
61 | 44 | 48.8095960370112 | -4.80959603701121 |
62 | 56 | 47.9093969526874 | 8.09060304731255 |
63 | 65 | 52.1215756330871 | 12.8784243669129 |
64 | 77 | 51.7538648347745 | 25.2461351652255 |
65 | 46 | 47.6879586676204 | -1.68795866762042 |
66 | 70 | 53.0864037801844 | 16.9135962198156 |
67 | 39 | 55.505152477155 | -16.505152477155 |
68 | 55 | 55.4312660158234 | -0.431266015823426 |
69 | 44 | 51.8381977872098 | -7.83819778720984 |
70 | 45 | 52.9089025784407 | -7.90890257844075 |
71 | 45 | 52.1638244498393 | -7.16382444983932 |
72 | 49 | 51.8326588326418 | -2.83265883264185 |
73 | 65 | 51.3681362456361 | 13.6318637543639 |
74 | 45 | 47.0472573706292 | -2.04725737062923 |
75 | 71 | 51.0440966796098 | 19.9559033203902 |
76 | 48 | 53.6807423306048 | -5.68074233060483 |
77 | 41 | 51.9501736696403 | -10.9501736696403 |
78 | 40 | 52.2827065307054 | -12.2827065307054 |
79 | 64 | 51.72254832973 | 12.2774516702701 |
80 | 56 | 51.8404032730727 | 4.15959672692729 |
81 | 52 | 53.3556301612206 | -1.35563016122058 |
82 | 41 | 49.4267996156825 | -8.42679961568248 |
83 | 42 | 53.4511195749867 | -11.4511195749867 |
84 | 54 | 54.7296377869182 | -0.729637786918216 |
85 | 40 | 54.5240713456767 | -14.5240713456767 |
86 | 40 | 51.9100869496649 | -11.9100869496649 |
87 | 51 | 52.9813788482988 | -1.98137884829885 |
88 | 48 | 53.2142221200736 | -5.21422212007365 |
89 | 80 | 54.4477016480335 | 25.5522983519665 |
90 | 38 | 53.5348209925587 | -15.5348209925586 |
91 | 57 | 54.3326688921411 | 2.66733110785889 |
92 | 28 | 47.9573591109086 | -19.9573591109086 |
93 | 51 | 53.8572271390314 | -2.85722713903145 |
94 | 46 | 51.1472282086333 | -5.14722820863332 |
95 | 58 | 52.9665380677125 | 5.03346193228755 |
96 | 67 | 53.2759832049132 | 13.7240167950868 |
97 | 72 | 52.0353462270942 | 19.9646537729058 |
98 | 26 | 51.9021226564984 | -25.9021226564984 |
99 | 54 | 54.2199873363711 | -0.219987336371117 |
100 | 53 | 51.9215039267709 | 1.07849607322914 |
101 | 64 | 47.1661852419789 | 16.8338147580211 |
102 | 47 | 55.7186996859885 | -8.71869968598851 |
103 | 43 | 52.6867005145034 | -9.68670051450343 |
104 | 66 | 50.2267638215581 | 15.7732361784419 |
105 | 54 | 50.2139338101009 | 3.78606618989907 |
106 | 62 | 55.166022566791 | 6.83397743320901 |
107 | 52 | 53.7687344662939 | -1.76873446629385 |
108 | 64 | 52.7101536885317 | 11.2898463114683 |
109 | 55 | 49.2844209717021 | 5.71557902829785 |
110 | 57 | 52.7882878035432 | 4.21171219645681 |
111 | 74 | 53.3582025771019 | 20.6417974228981 |
112 | 32 | 52.2166075742418 | -20.2166075742418 |
113 | 38 | 51.046272454457 | -13.046272454457 |
114 | 66 | 54.991592194706 | 11.0084078052941 |
115 | 37 | 52.0646327883824 | -15.0646327883824 |
116 | 26 | 53.0613187574436 | -27.0613187574436 |
117 | 64 | 53.7487363776026 | 10.2512636223974 |
118 | 28 | 50.0478967389701 | -22.0478967389701 |
119 | 66 | 55.3671510048149 | 10.6328489951851 |
120 | 65 | 53.1384822696217 | 11.8615177303783 |
121 | 48 | 51.8007552201943 | -3.80075522019429 |
122 | 44 | 54.8279925694031 | -10.8279925694031 |
123 | 64 | 52.7648924103968 | 11.2351075896032 |
124 | 39 | 50.0370223249755 | -11.0370223249755 |
125 | 50 | 53.6217249978521 | -3.62172499785211 |
126 | 66 | 52.7089188055022 | 13.2910811944978 |
127 | 48 | 49.4950121523927 | -1.49501215239269 |
128 | 70 | 52.4277020180274 | 17.5722979819726 |
129 | 66 | 53.8628419197477 | 12.1371580802523 |
130 | 61 | 52.7682005352823 | 8.23179946471774 |
131 | 31 | 50.5219700020202 | -19.5219700020202 |
132 | 61 | 51.7060770634543 | 9.29392293654574 |
133 | 54 | 50.501792398984 | 3.49820760101603 |
134 | 34 | 50.8303596537053 | -16.8303596537053 |
135 | 62 | 50.8015549407825 | 11.1984450592175 |
136 | 47 | 53.1436112297341 | -6.1436112297341 |
137 | 52 | 49.9973609186757 | 2.00263908132434 |
138 | 37 | 52.812488793805 | -15.8124887938050 |
139 | 46 | 47.520319575624 | -1.52031957562402 |
140 | 38 | 52.2903631545898 | -14.2903631545898 |
141 | 63 | 53.8123652433583 | 9.18763475664166 |
142 | 34 | 52.616576807791 | -18.6165768077910 |
143 | 46 | 50.071659062135 | -4.07165906213499 |
144 | 40 | 52.3260282754645 | -12.3260282754645 |
145 | 30 | 54.5240713456767 | -24.5240713456767 |
146 | 35 | 47.7973766427966 | -12.7973766427966 |
147 | 51 | 51.8007552201943 | -0.800755220194286 |
148 | 56 | 53.710865770865 | 2.28913422913496 |
149 | 68 | 52.5369432049051 | 15.4630567950949 |
150 | 39 | 54.152874712637 | -15.152874712637 |
151 | 44 | 52.4715960369136 | -8.47159603691363 |
152 | 58 | 54.152874712637 | 3.84712528736299 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.678830533198909 | 0.642338933602181 | 0.321169466801091 |
10 | 0.822885440412327 | 0.354229119175345 | 0.177114559587672 |
11 | 0.722037105883627 | 0.555925788232747 | 0.277962894116373 |
12 | 0.630174253743092 | 0.739651492513816 | 0.369825746256908 |
13 | 0.93213684899965 | 0.135726302000699 | 0.0678631510003493 |
14 | 0.893767904765459 | 0.212464190469083 | 0.106232095234541 |
15 | 0.845001412588649 | 0.309997174822702 | 0.154998587411351 |
16 | 0.847266310037505 | 0.30546737992499 | 0.152733689962495 |
17 | 0.793443478439552 | 0.413113043120896 | 0.206556521560448 |
18 | 0.862212745436376 | 0.275574509127248 | 0.137787254563624 |
19 | 0.84443337075188 | 0.311133258496242 | 0.155566629248121 |
20 | 0.811890444778311 | 0.376219110443377 | 0.188109555221689 |
21 | 0.866534380621751 | 0.266931238756498 | 0.133465619378249 |
22 | 0.843774617165963 | 0.312450765668074 | 0.156225382834037 |
23 | 0.952678664352583 | 0.0946426712948348 | 0.0473213356474174 |
24 | 0.960777311747941 | 0.0784453765041173 | 0.0392226882520587 |
25 | 0.944748625141498 | 0.110502749717005 | 0.0552513748585023 |
26 | 0.925375813862402 | 0.149248372275197 | 0.0746241861375983 |
27 | 0.925654703461842 | 0.148690593076317 | 0.0743452965381583 |
28 | 0.901794823156855 | 0.196410353686290 | 0.0982051768431449 |
29 | 0.875232752331216 | 0.249534495337567 | 0.124767247668784 |
30 | 0.843845657722669 | 0.312308684554662 | 0.156154342277331 |
31 | 0.819462810686936 | 0.361074378626127 | 0.180537189313064 |
32 | 0.788699199824348 | 0.422601600351304 | 0.211300800175652 |
33 | 0.745293851468375 | 0.50941229706325 | 0.254706148531625 |
34 | 0.75131051999509 | 0.497378960009821 | 0.248689480004910 |
35 | 0.71016162360638 | 0.579676752787241 | 0.289838376393620 |
36 | 0.80630184323401 | 0.387396313531979 | 0.193698156765989 |
37 | 0.765526512412031 | 0.468946975175938 | 0.234473487587969 |
38 | 0.809382109785259 | 0.381235780429483 | 0.190617890214741 |
39 | 0.811914740662897 | 0.376170518674206 | 0.188085259337103 |
40 | 0.776582435312889 | 0.446835129374222 | 0.223417564687111 |
41 | 0.740870137718641 | 0.518259724562717 | 0.259129862281359 |
42 | 0.708877343686495 | 0.582245312627010 | 0.291122656313505 |
43 | 0.768613584634518 | 0.462772830730964 | 0.231386415365482 |
44 | 0.733829163215186 | 0.532341673569628 | 0.266170836784814 |
45 | 0.693121713642939 | 0.613756572714123 | 0.306878286357061 |
46 | 0.704119081947445 | 0.591761836105111 | 0.295880918052555 |
47 | 0.658230227934137 | 0.683539544131726 | 0.341769772065863 |
48 | 0.790232459937975 | 0.419535080124051 | 0.209767540062025 |
49 | 0.753308929257636 | 0.493382141484728 | 0.246691070742364 |
50 | 0.768154669778468 | 0.463690660443063 | 0.231845330221532 |
51 | 0.757099825064172 | 0.485800349871656 | 0.242900174935828 |
52 | 0.759392485203962 | 0.481215029592075 | 0.240607514796038 |
53 | 0.790318956271592 | 0.419362087456816 | 0.209681043728408 |
54 | 0.756259464352528 | 0.487481071294945 | 0.243740535647472 |
55 | 0.747534272323968 | 0.504931455352065 | 0.252465727676033 |
56 | 0.917944403101005 | 0.164111193797990 | 0.0820555968989948 |
57 | 0.945687065815146 | 0.108625868369708 | 0.0543129341848538 |
58 | 0.933629639912938 | 0.132740720174125 | 0.0663703600870624 |
59 | 0.918725620139718 | 0.162548759720565 | 0.0812743798602823 |
60 | 0.900877209802445 | 0.198245580395110 | 0.0991227901975548 |
61 | 0.892396042711452 | 0.215207914577096 | 0.107603957288548 |
62 | 0.877624681976828 | 0.244750636046345 | 0.122375318023173 |
63 | 0.8726411817565 | 0.254717636486998 | 0.127358818243499 |
64 | 0.92359425244806 | 0.152811495103881 | 0.0764057475519407 |
65 | 0.90575206593843 | 0.188495868123142 | 0.094247934061571 |
66 | 0.91435412738902 | 0.171291745221961 | 0.0856458726109807 |
67 | 0.924353819838676 | 0.151292360322647 | 0.0756461801613236 |
68 | 0.905831730791853 | 0.188336538416295 | 0.0941682692081474 |
69 | 0.894761983863854 | 0.210476032272293 | 0.105238016136146 |
70 | 0.879956162882803 | 0.240087674234394 | 0.120043837117197 |
71 | 0.861973490947504 | 0.276053018104991 | 0.138026509052496 |
72 | 0.835153622469238 | 0.329692755061525 | 0.164846377530762 |
73 | 0.833999403290075 | 0.332001193419849 | 0.166000596709924 |
74 | 0.808247389232396 | 0.383505221535208 | 0.191752610767604 |
75 | 0.852208528684143 | 0.295582942631715 | 0.147791471315857 |
76 | 0.82889612013559 | 0.342207759728819 | 0.171103879864409 |
77 | 0.818362848282829 | 0.363274303434342 | 0.181637151717171 |
78 | 0.81336890792766 | 0.37326218414468 | 0.18663109207234 |
79 | 0.830673323882034 | 0.338653352235932 | 0.169326676117966 |
80 | 0.801894695335537 | 0.396210609328925 | 0.198105304664463 |
81 | 0.768893198980222 | 0.462213602039556 | 0.231106801019778 |
82 | 0.745135628997152 | 0.509728742005695 | 0.254864371002848 |
83 | 0.737299014906122 | 0.525401970187756 | 0.262700985093878 |
84 | 0.697404699273823 | 0.605190601452355 | 0.302595300726177 |
85 | 0.702638333900790 | 0.594723332198419 | 0.297361666099210 |
86 | 0.695073629828499 | 0.609852740343002 | 0.304926370171501 |
87 | 0.659849592463601 | 0.680300815072798 | 0.340150407536399 |
88 | 0.624629568314605 | 0.750740863370791 | 0.375370431685395 |
89 | 0.722882820822073 | 0.554234358355855 | 0.277117179177927 |
90 | 0.749606930807926 | 0.500786138384148 | 0.250393069192074 |
91 | 0.710016247864914 | 0.579967504270171 | 0.289983752135086 |
92 | 0.743181934402279 | 0.513636131195442 | 0.256818065597721 |
93 | 0.703552289890415 | 0.59289542021917 | 0.296447710109585 |
94 | 0.669969442604019 | 0.660061114791962 | 0.330030557395981 |
95 | 0.626529455503049 | 0.746941088993903 | 0.373470544496952 |
96 | 0.620344091716249 | 0.759311816567502 | 0.379655908283751 |
97 | 0.662844647287015 | 0.67431070542597 | 0.337155352712985 |
98 | 0.78221701100183 | 0.435565977996339 | 0.217782988998170 |
99 | 0.743569658303418 | 0.512860683393163 | 0.256430341696582 |
100 | 0.701004350863531 | 0.597991298272938 | 0.298995649136469 |
101 | 0.765702360188893 | 0.468595279622214 | 0.234297639811107 |
102 | 0.753601498916245 | 0.492797002167509 | 0.246398501083755 |
103 | 0.733491440558442 | 0.533017118883117 | 0.266508559441558 |
104 | 0.757752290941465 | 0.484495418117069 | 0.242247709058535 |
105 | 0.738381039724045 | 0.52323792055191 | 0.261618960275955 |
106 | 0.699722733482706 | 0.600554533034587 | 0.300277266517294 |
107 | 0.652582150336161 | 0.694835699327678 | 0.347417849663839 |
108 | 0.638585758684082 | 0.722828482631837 | 0.361414241315918 |
109 | 0.61529634305272 | 0.76940731389456 | 0.38470365694728 |
110 | 0.564928602528296 | 0.870142794943407 | 0.435071397471704 |
111 | 0.639716292551582 | 0.720567414896836 | 0.360283707448418 |
112 | 0.687263737174216 | 0.625472525651569 | 0.312736262825784 |
113 | 0.658123051072501 | 0.683753897854998 | 0.341876948927499 |
114 | 0.627016150262427 | 0.745967699475147 | 0.372983849737573 |
115 | 0.615754233388123 | 0.768491533223753 | 0.384245766611877 |
116 | 0.78735959774339 | 0.425280804513218 | 0.212640402256609 |
117 | 0.766192204879547 | 0.467615590240906 | 0.233807795120453 |
118 | 0.851403954764125 | 0.297192090471751 | 0.148596045235875 |
119 | 0.828139427457229 | 0.343721145085543 | 0.171860572542771 |
120 | 0.821353016837211 | 0.357293966325578 | 0.178646983162789 |
121 | 0.777735376372793 | 0.444529247254415 | 0.222264623627207 |
122 | 0.74653237792864 | 0.50693524414272 | 0.25346762207136 |
123 | 0.733959494156703 | 0.532081011686594 | 0.266040505843297 |
124 | 0.718534542987407 | 0.562930914025186 | 0.281465457012593 |
125 | 0.661799074946922 | 0.676401850106156 | 0.338200925053078 |
126 | 0.66456620535149 | 0.67086758929702 | 0.33543379464851 |
127 | 0.597712075230486 | 0.804575849539028 | 0.402287924769514 |
128 | 0.662147447181924 | 0.675705105636151 | 0.337852552818076 |
129 | 0.655811175761992 | 0.688377648476017 | 0.344188824238008 |
130 | 0.719611913986716 | 0.560776172026568 | 0.280388086013284 |
131 | 0.761947946250951 | 0.476104107498099 | 0.238052053749049 |
132 | 0.776763509068425 | 0.446472981863151 | 0.223236490931575 |
133 | 0.71461831668823 | 0.57076336662354 | 0.28538168331177 |
134 | 0.802521173291219 | 0.394957653417562 | 0.197478826708781 |
135 | 0.738827826079626 | 0.522344347840748 | 0.261172173920374 |
136 | 0.688926392082367 | 0.622147215835266 | 0.311073607917633 |
137 | 0.658411331673227 | 0.683177336653545 | 0.341588668326773 |
138 | 0.56596296674926 | 0.868074066501479 | 0.434037033250740 |
139 | 0.467306602409845 | 0.93461320481969 | 0.532693397590155 |
140 | 0.359718971255751 | 0.719437942511503 | 0.640281028744249 |
141 | 0.491152228740997 | 0.982304457481993 | 0.508847771259003 |
142 | 0.596079394809157 | 0.807841210381687 | 0.403920605190843 |
143 | 0.434855269659406 | 0.869710539318811 | 0.565144730340594 |
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 | 2 | 0.0148148148148148 | OK |