Multiple Linear Regression - Estimated Regression Equation |
Anxiety[t] = + 20.3838257780381 + 0.113181873884428Concern[t] + 2.57520207109418Doubts[t] + 0.356521545363305Pexpectations[t] -0.0846338978898613Pcriticism[t] -0.0783139174114985Standards[t] -0.028565001972493Organization[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) | 20.3838257780381 | 7.937237 | 2.5681 | 0.011222 | 0.005611 |
Concern | 0.113181873884428 | 0.207946 | 0.5443 | 0.58707 | 0.293535 |
Doubts | 2.57520207109418 | 0.374663 | 6.8734 | 0 | 0 |
Pexpectations | 0.356521545363305 | 0.351851 | 1.0133 | 0.312595 | 0.156297 |
Pcriticism | -0.0846338978898613 | 0.443961 | -0.1906 | 0.849076 | 0.424538 |
Standards | -0.0783139174114985 | 0.276392 | -0.2833 | 0.777312 | 0.388656 |
Organization | -0.028565001972493 | 0.267905 | -0.1066 | 0.915233 | 0.457616 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.559188538520539 |
R-squared | 0.312691821612736 |
Adjusted R-squared | 0.284638426576521 |
F-TEST (value) | 11.1463094291822 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 147 |
p-value | 3.13000736440472e-10 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 11.4087517401793 |
Sum Squared Residuals | 19133.4635915494 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 69 | 59.4369259017397 | 9.5630740982603 |
2 | 53 | 50.7443320609542 | 2.25566793904584 |
3 | 43 | 40.0793825770384 | 2.92061742296162 |
4 | 60 | 54.0667091554162 | 5.93329084458376 |
5 | 49 | 44.2736283195318 | 4.72637168046824 |
6 | 62 | 49.081286490006 | 12.9187135099940 |
7 | 45 | 49.3107123895055 | -4.31071238950551 |
8 | 50 | 51.1116375225459 | -1.11163752254592 |
9 | 75 | 52.3187659056494 | 22.6812340943506 |
10 | 82 | 65.3503872652049 | 16.6496127347951 |
11 | 60 | 58.2668061838538 | 1.73319381614617 |
12 | 59 | 57.537578128292 | 1.46242187170806 |
13 | 21 | 44.8608846616637 | -23.8608846616637 |
14 | 40 | 54.5301709234307 | -14.5301709234307 |
15 | 62 | 52.5111529450851 | 9.48884705491493 |
16 | 54 | 51.2237923403586 | 2.77620765964142 |
17 | 47 | 48.0208937060573 | -1.02089370605732 |
18 | 59 | 62.7026661182472 | -3.70266611824718 |
19 | 37 | 48.5944713391162 | -11.5944713391162 |
20 | 43 | 53.9482411577698 | -10.9482411577698 |
21 | 48 | 48.685052912464 | -0.685052912464035 |
22 | 79 | 64.8959757445589 | 14.1040242554411 |
23 | 62 | 74.0959684012723 | -12.0959684012723 |
24 | 16 | 43.4996099196242 | -27.4996099196242 |
25 | 38 | 48.4567562249039 | -10.4567562249039 |
26 | 58 | 44.2806400465525 | 13.7193599534475 |
27 | 60 | 46.9544681167610 | 13.0455318832390 |
28 | 72 | 63.0006771101159 | 8.9993228898841 |
29 | 67 | 51.7400715762958 | 15.2599284237042 |
30 | 55 | 50.0409217144968 | 4.95907828550324 |
31 | 47 | 50.1740735599101 | -3.17407355991012 |
32 | 59 | 60.7667915755137 | -1.76679157551365 |
33 | 49 | 48.2261844873785 | 0.773815512621455 |
34 | 47 | 34.1378083125778 | 12.8621916874222 |
35 | 57 | 57.69744970942 | -0.697449709419993 |
36 | 39 | 50.0745484777208 | -11.0745484777208 |
37 | 49 | 53.4208397525395 | -4.42083975253948 |
38 | 26 | 50.8394286479858 | -24.8394286479858 |
39 | 53 | 59.6809417279654 | -6.68094172796545 |
40 | 75 | 63.4870796239928 | 11.5129203760072 |
41 | 65 | 62.826714215431 | 2.17328578456895 |
42 | 49 | 46.0902463742168 | 2.90975362578319 |
43 | 48 | 46.8689531960648 | 1.13104680393517 |
44 | 45 | 59.6762785212841 | -14.6762785212841 |
45 | 31 | 46.4393936317187 | -15.4393936317187 |
46 | 67 | 55.1806620785182 | 11.8193379214818 |
47 | 61 | 54.862721967721 | 6.13727803227902 |
48 | 49 | 48.1490110415304 | 0.850988958469589 |
49 | 69 | 55.4842003064259 | 13.5157996935741 |
50 | 54 | 47.6370143000145 | 6.36298569998545 |
51 | 80 | 51.4941658226116 | 28.5058341773884 |
52 | 57 | 39.4028117500114 | 17.5971882499886 |
53 | 34 | 48.6212732611854 | -14.6212732611854 |
54 | 69 | 59.2096212620797 | 9.79037873792027 |
55 | 44 | 51.5473788690402 | -7.54737886904024 |
56 | 70 | 44.4886614035045 | 25.5113385964955 |
57 | 51 | 52.3257211882739 | -1.32572118827390 |
58 | 66 | 49.081286490006 | 16.9187135099940 |
59 | 18 | 39.04295110312 | -21.04295110312 |
60 | 74 | 47.7406952597359 | 26.2593047402641 |
61 | 59 | 66.7581293129185 | -7.7581293129185 |
62 | 48 | 46.3090425800344 | 1.69095741996561 |
63 | 55 | 57.4886319064142 | -2.48863190641422 |
64 | 44 | 48.7668689906469 | -4.76686899064692 |
65 | 56 | 53.6952453478197 | 2.30475465218029 |
66 | 65 | 51.3191513196825 | 13.6808486803175 |
67 | 77 | 60.3566279838175 | 16.6433720161825 |
68 | 46 | 51.4858462326123 | -5.4858462326123 |
69 | 70 | 64.9537456915625 | 5.04625430843751 |
70 | 39 | 44.8956902805788 | -5.89569028057885 |
71 | 55 | 47.3874057259911 | 7.61259427400891 |
72 | 44 | 48.0976563846827 | -4.09765638468274 |
73 | 45 | 52.0988968571177 | -7.09889685711767 |
74 | 45 | 37.2488837052199 | 7.75111629478015 |
75 | 25 | 61.6767173029837 | -36.6767173029837 |
76 | 49 | 55.424099648864 | -6.42409964886396 |
77 | 65 | 56.8069862729469 | 8.19301372705311 |
78 | 45 | 46.4076306700835 | -1.40763067008355 |
79 | 71 | 60.2853189927822 | 10.7146810072178 |
80 | 48 | 50.0154344560508 | -2.01543445605076 |
81 | 41 | 51.5971277844792 | -10.5971277844792 |
82 | 40 | 45.3302800226934 | -5.33028002269341 |
83 | 64 | 60.3010507797081 | 3.6989492202919 |
84 | 56 | 62.3968660417721 | -6.39686604177207 |
85 | 52 | 58.0364004491070 | -6.03640044910705 |
86 | 41 | 49.4196181697217 | -8.41961816972174 |
87 | 45 | 50.2038354778423 | -5.20383547784227 |
88 | 42 | 49.3107123895055 | -7.31071238950551 |
89 | 54 | 66.9665762450859 | -12.9665762450859 |
90 | 40 | 51.1716612850448 | -11.1716612850448 |
91 | 40 | 48.1510685296297 | -8.1510685296297 |
92 | 51 | 55.5043844151319 | -4.50438441513193 |
93 | 48 | 48.6714199473914 | -0.671419947391398 |
94 | 80 | 68.7057652622751 | 11.2942347377249 |
95 | 38 | 46.3706507228887 | -8.37065072288875 |
96 | 57 | 41.7905940687434 | 15.2094059312566 |
97 | 51 | 49.6345729244494 | 1.36542707555062 |
98 | 46 | 42.0340929423563 | 3.96590705764373 |
99 | 58 | 60.077969689071 | -2.07796968907100 |
100 | 67 | 60.099175994978 | 6.90082400502204 |
101 | 72 | 65.4832310524002 | 6.51676894759981 |
102 | 26 | 34.5624993697622 | -8.5624993697622 |
103 | 54 | 45.463677588767 | 8.536322411233 |
104 | 53 | 53.947936956661 | -0.94793695666104 |
105 | 69 | 51.2618723389369 | 17.7381276610631 |
106 | 64 | 67.2183308617871 | -3.21833086178706 |
107 | 47 | 47.6653992167658 | -0.665399216765783 |
108 | 43 | 61.0049575044314 | -18.0049575044314 |
109 | 66 | 64.0866165921385 | 1.9133834078615 |
110 | 54 | 56.2319074417817 | -2.23190744178168 |
111 | 62 | 54.5540422151346 | 7.44595778486536 |
112 | 52 | 47.1198540412709 | 4.88014595872906 |
113 | 64 | 49.8678607257055 | 14.1321392742945 |
114 | 55 | 46.9376893042502 | 8.06231069574979 |
115 | 74 | 52.8670948488954 | 21.1329051511046 |
116 | 32 | 44.5034980851813 | -12.5034980851813 |
117 | 38 | 35.8467759053801 | 2.15322409461985 |
118 | 66 | 60.4864017843469 | 5.51359821565308 |
119 | 37 | 46.4393936317187 | -9.4393936317187 |
120 | 26 | 43.5013840867387 | -17.5013840867387 |
121 | 64 | 50.631171070157 | 13.3688289298430 |
122 | 28 | 41.0115309335622 | -13.0115309335622 |
123 | 65 | 52.1930394260313 | 12.8069605739687 |
124 | 48 | 45.2511779692258 | 2.74882203077417 |
125 | 44 | 45.6456476830613 | -1.64564768306127 |
126 | 64 | 54.8735200871087 | 9.12647991289129 |
127 | 39 | 58.9385153043637 | -19.9385153043637 |
128 | 50 | 57.6099171189342 | -7.60991711893422 |
129 | 52 | 60.750044346486 | -8.75004434648594 |
130 | 48 | 54.0667091554162 | -6.06670915541624 |
131 | 70 | 54.056893814811 | 15.9431061851890 |
132 | 66 | 60.4236814555312 | 5.57631854446884 |
133 | 61 | 65.3223309810183 | -4.32233098101833 |
134 | 31 | 44.6778106162347 | -13.6778106162347 |
135 | 61 | 61.1310052111362 | -0.131005211136226 |
136 | 54 | 44.0959353531964 | 9.90406464680364 |
137 | 34 | 46.0257693337217 | -12.0257693337217 |
138 | 62 | 59.7205724873639 | 2.27942751263615 |
139 | 47 | 41.1693177752797 | 5.83068222472034 |
140 | 52 | 61.9505538819357 | -9.95055388193572 |
141 | 37 | 55.7354121533853 | -18.7354121533853 |
142 | 46 | 46.7480622059432 | -0.7480622059432 |
143 | 61 | 61.360280699653 | -0.360280699653013 |
144 | 70 | 61.4438534895153 | 8.55614651048474 |
145 | 63 | 60.6660355254088 | 2.33396447459117 |
146 | 34 | 43.1891486725199 | -9.18914867251991 |
147 | 46 | 43.5998650868783 | 2.40013491312169 |
148 | 40 | 48.7033994366018 | -8.70339943660178 |
149 | 30 | 45.4828278407567 | -15.4828278407567 |
150 | 35 | 50.4044652122142 | -15.4044652122142 |
151 | 51 | 56.2836574009237 | -5.28365740092368 |
152 | 56 | 44.4397843198291 | 11.5602156801709 |
153 | 44 | 54.0667091554162 | -10.0667091554162 |
154 | 58 | 47.73362366363 | 10.2663763363700 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.25421968105371 | 0.50843936210742 | 0.74578031894629 |
11 | 0.411604796700695 | 0.82320959340139 | 0.588395203299305 |
12 | 0.272196079137742 | 0.544392158275484 | 0.727803920862258 |
13 | 0.380005420847302 | 0.760010841694604 | 0.619994579152698 |
14 | 0.387161950601279 | 0.774323901202558 | 0.612838049398721 |
15 | 0.338355935349171 | 0.676711870698343 | 0.661644064650829 |
16 | 0.261740361328081 | 0.523480722656162 | 0.738259638671919 |
17 | 0.222247714199627 | 0.444495428399253 | 0.777752285800373 |
18 | 0.218278544254667 | 0.436557088509335 | 0.781721455745333 |
19 | 0.252951801545719 | 0.505903603091439 | 0.747048198454281 |
20 | 0.397615561381966 | 0.795231122763932 | 0.602384438618034 |
21 | 0.319105033864973 | 0.638210067729945 | 0.680894966135027 |
22 | 0.263210443008280 | 0.526420886016559 | 0.73678955699172 |
23 | 0.510487729182694 | 0.979024541634613 | 0.489512270817306 |
24 | 0.762933168502891 | 0.474133662994218 | 0.237066831497109 |
25 | 0.74752326932658 | 0.504953461346841 | 0.252476730673421 |
26 | 0.763753559233545 | 0.47249288153291 | 0.236246440766455 |
27 | 0.789215015855602 | 0.421569968288796 | 0.210784984144398 |
28 | 0.778065166198304 | 0.443869667603392 | 0.221934833801696 |
29 | 0.770913355860769 | 0.458173288278462 | 0.229086644139231 |
30 | 0.729663642093462 | 0.540672715813076 | 0.270336357906538 |
31 | 0.676130423023314 | 0.647739153953371 | 0.323869576976685 |
32 | 0.619172178891776 | 0.761655642216448 | 0.380827821108224 |
33 | 0.558714865354158 | 0.882570269291683 | 0.441285134645842 |
34 | 0.521329858905409 | 0.957340282189183 | 0.478670141094591 |
35 | 0.487192843896362 | 0.974385687792725 | 0.512807156103638 |
36 | 0.516700682871238 | 0.966598634257523 | 0.483299317128762 |
37 | 0.463616777412819 | 0.927233554825639 | 0.53638322258718 |
38 | 0.628834389593437 | 0.742331220813125 | 0.371165610406563 |
39 | 0.590465796299476 | 0.819068407401047 | 0.409534203700524 |
40 | 0.567841220577627 | 0.864317558844747 | 0.432158779422373 |
41 | 0.517325109303862 | 0.965349781392275 | 0.482674890696138 |
42 | 0.480186761204069 | 0.960373522408138 | 0.519813238795931 |
43 | 0.42554502406296 | 0.85109004812592 | 0.57445497593704 |
44 | 0.54245063649352 | 0.91509872701296 | 0.45754936350648 |
45 | 0.620146041620497 | 0.759707916759006 | 0.379853958379503 |
46 | 0.655144195042761 | 0.689711609914478 | 0.344855804957239 |
47 | 0.624890076751215 | 0.75021984649757 | 0.375109923248785 |
48 | 0.583971656986577 | 0.832056686026846 | 0.416028343013423 |
49 | 0.599245181762974 | 0.801509636474052 | 0.400754818237026 |
50 | 0.565732720721478 | 0.868534558557044 | 0.434267279278522 |
51 | 0.754888462623763 | 0.490223074752474 | 0.245111537376237 |
52 | 0.780091989232849 | 0.439816021534302 | 0.219908010767151 |
53 | 0.816946369009242 | 0.366107261981516 | 0.183053630990758 |
54 | 0.802656675807309 | 0.394686648385383 | 0.197343324192691 |
55 | 0.78776645284949 | 0.424467094301022 | 0.212233547150511 |
56 | 0.90178971733219 | 0.19642056533562 | 0.09821028266781 |
57 | 0.881648230849435 | 0.23670353830113 | 0.118351769150565 |
58 | 0.904156184728685 | 0.19168763054263 | 0.095843815271315 |
59 | 0.948330827763835 | 0.103338344472331 | 0.0516691722361654 |
60 | 0.985215959102233 | 0.0295680817955339 | 0.0147840408977669 |
61 | 0.981625531373165 | 0.0367489372536695 | 0.0183744686268347 |
62 | 0.975580449085367 | 0.0488391018292661 | 0.0244195509146331 |
63 | 0.968109733966123 | 0.0637805320677546 | 0.0318902660338773 |
64 | 0.961473111573097 | 0.0770537768538053 | 0.0385268884269026 |
65 | 0.951984415893215 | 0.0960311682135692 | 0.0480155841067846 |
66 | 0.956684005874656 | 0.0866319882506881 | 0.0433159941253440 |
67 | 0.96837776473039 | 0.0632444705392188 | 0.0316222352696094 |
68 | 0.962126152778295 | 0.0757476944434104 | 0.0378738472217052 |
69 | 0.958033948011067 | 0.0839321039778654 | 0.0419660519889327 |
70 | 0.949326428745284 | 0.101347142509433 | 0.0506735712547163 |
71 | 0.942358654106729 | 0.115282691786542 | 0.0576413458932711 |
72 | 0.941295345185573 | 0.117409309628854 | 0.0587046548144269 |
73 | 0.932647593980657 | 0.134704812038685 | 0.0673524060193426 |
74 | 0.927345385296159 | 0.145309229407683 | 0.0726546147038413 |
75 | 0.994370900621626 | 0.0112581987567479 | 0.00562909937837395 |
76 | 0.99311913979319 | 0.0137617204136214 | 0.00688086020681072 |
77 | 0.992226514986008 | 0.0155469700279836 | 0.0077734850139918 |
78 | 0.989349803742493 | 0.0213003925150136 | 0.0106501962575068 |
79 | 0.99005365899567 | 0.0198926820086615 | 0.00994634100433076 |
80 | 0.98647196175414 | 0.0270560764917207 | 0.0135280382458604 |
81 | 0.985379456317566 | 0.0292410873648676 | 0.0146205436824338 |
82 | 0.981978251416798 | 0.0360434971664047 | 0.0180217485832024 |
83 | 0.97671566161686 | 0.0465686767662817 | 0.0232843383831408 |
84 | 0.971861462511263 | 0.0562770749774737 | 0.0281385374887368 |
85 | 0.965241292672562 | 0.0695174146548753 | 0.0347587073274376 |
86 | 0.960143514108308 | 0.0797129717833837 | 0.0398564858916919 |
87 | 0.951092166773996 | 0.0978156664520071 | 0.0489078332260036 |
88 | 0.941906118830384 | 0.116187762339231 | 0.0580938811696157 |
89 | 0.946468722912434 | 0.107062554175133 | 0.0535312770875663 |
90 | 0.945030281027256 | 0.109939437945488 | 0.0549697189727441 |
91 | 0.936100217631118 | 0.127799564737764 | 0.0638997823688821 |
92 | 0.921139243016987 | 0.157721513966025 | 0.0788607569830127 |
93 | 0.901711143034457 | 0.196577713931086 | 0.098288856965543 |
94 | 0.898789238214546 | 0.202421523570907 | 0.101210761785454 |
95 | 0.889903218629698 | 0.220193562740603 | 0.110096781370302 |
96 | 0.913571243349707 | 0.172857513300585 | 0.0864287566502927 |
97 | 0.891991014633025 | 0.216017970733949 | 0.108008985366975 |
98 | 0.877090919023563 | 0.245818161952875 | 0.122909080976437 |
99 | 0.849418410500686 | 0.301163178998628 | 0.150581589499314 |
100 | 0.833507664993427 | 0.332984670013147 | 0.166492335006573 |
101 | 0.827393769014873 | 0.345212461970254 | 0.172606230985127 |
102 | 0.806712144042974 | 0.386575711914052 | 0.193287855957026 |
103 | 0.786222570080427 | 0.427554859839147 | 0.213777429919573 |
104 | 0.746018568320931 | 0.507962863358137 | 0.253981431679069 |
105 | 0.809901930206025 | 0.380196139587951 | 0.190098069793975 |
106 | 0.772626404342078 | 0.454747191315845 | 0.227373595657922 |
107 | 0.73023493750314 | 0.53953012499372 | 0.26976506249686 |
108 | 0.769855967471541 | 0.460288065056918 | 0.230144032528459 |
109 | 0.74026776587287 | 0.51946446825426 | 0.25973223412713 |
110 | 0.710104917213827 | 0.579790165572347 | 0.289895082786173 |
111 | 0.672416831410564 | 0.655166337178873 | 0.327583168589436 |
112 | 0.640365872790853 | 0.719268254418295 | 0.359634127209147 |
113 | 0.643013739091105 | 0.71397252181779 | 0.356986260908895 |
114 | 0.63116056232319 | 0.73767887535362 | 0.36883943767681 |
115 | 0.760552706138483 | 0.478894587723034 | 0.239447293861517 |
116 | 0.758171394481162 | 0.483657211037676 | 0.241828605518838 |
117 | 0.741447981202704 | 0.517104037594592 | 0.258552018797296 |
118 | 0.714992891228186 | 0.570014217543627 | 0.285007108771814 |
119 | 0.671450400572188 | 0.657099198855624 | 0.328549599427812 |
120 | 0.688660534723914 | 0.622678930552172 | 0.311339465276086 |
121 | 0.705548989660785 | 0.588902020678431 | 0.294451010339215 |
122 | 0.699717149274181 | 0.600565701451637 | 0.300282850725819 |
123 | 0.747848313293219 | 0.504303373413563 | 0.252151686706781 |
124 | 0.707024870258699 | 0.585950259482603 | 0.292975129741301 |
125 | 0.657743938587118 | 0.684512122825765 | 0.342256061412882 |
126 | 0.702263669603366 | 0.595472660793268 | 0.297736330396634 |
127 | 0.763137543427554 | 0.473724913144891 | 0.236862456572446 |
128 | 0.713686035564906 | 0.572627928870189 | 0.286313964435094 |
129 | 0.688263275132206 | 0.623473449735588 | 0.311736724867794 |
130 | 0.627096877501266 | 0.745806244997467 | 0.372903122498734 |
131 | 0.739960108354014 | 0.520079783291971 | 0.260039891645986 |
132 | 0.758222160253096 | 0.483555679493809 | 0.241777839746904 |
133 | 0.691018129598634 | 0.617963740802732 | 0.308981870401366 |
134 | 0.640394644850922 | 0.719210710298155 | 0.359605355149078 |
135 | 0.561564150687768 | 0.876871698624463 | 0.438435849312232 |
136 | 0.642626347829949 | 0.714747304340101 | 0.357373652170051 |
137 | 0.602296861904399 | 0.795406276191203 | 0.397703138095601 |
138 | 0.511544505103714 | 0.976910989792572 | 0.488455494896286 |
139 | 0.730111574364794 | 0.539776851270413 | 0.269888425635206 |
140 | 0.63388580076043 | 0.732228398479139 | 0.366114199239570 |
141 | 0.599297370530086 | 0.801405258939828 | 0.400702629469914 |
142 | 0.473918607466531 | 0.947837214933063 | 0.526081392533469 |
143 | 0.335323407284504 | 0.670646814569008 | 0.664676592715496 |
144 | 0.352786363008558 | 0.705572726017116 | 0.647213636991442 |
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 | 12 | 0.0888888888888889 | NOK |
10% type I error level | 23 | 0.170370370370370 | NOK |