Multiple Linear Regression - Estimated Regression Equation |
Anxiety[t] = + 62.6264784679251 -4.54909193536482Gender[t] -0.361672579691563Mistakes[t] + 0.169699251103092Doubts[t] + 0.788331768369544Expectations[t] -1.10287823451153Critism[t] + 0.108738082842006Pstandards[t] -0.232322040117943Organization[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) | 62.6264784679251 | 9.241389 | 6.7767 | 0 | 0 |
Gender | -4.54909193536482 | 2.197821 | -2.0698 | 0.040256 | 0.020128 |
Mistakes | -0.361672579691563 | 0.241604 | -1.497 | 0.136591 | 0.068295 |
Doubts | 0.169699251103092 | 0.441371 | 0.3845 | 0.701188 | 0.350594 |
Expectations | 0.788331768369544 | 0.402988 | 1.9562 | 0.052375 | 0.026187 |
Critism | -1.10287823451153 | 0.505322 | -2.1825 | 0.030692 | 0.015346 |
Pstandards | 0.108738082842006 | 0.309861 | 0.3509 | 0.726157 | 0.363079 |
Organization | -0.232322040117943 | 0.316958 | -0.733 | 0.464766 | 0.232383 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.275657312550536 |
R-squared | 0.0759869539625837 |
Adjusted R-squared | 0.0310696531135426 |
F-TEST (value) | 1.69170792826493 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 144 |
p-value | 0.115413556168906 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 13.2170763953282 |
Sum Squared Residuals | 25155.5196153517 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 69 | 56.8683928424479 | 12.1316071575521 |
2 | 53 | 54.7216584253503 | -1.72165842535032 |
3 | 43 | 45.8960440590103 | -2.89604405901034 |
4 | 60 | 49.4645883889766 | 10.5354116110234 |
5 | 49 | 50.010837219128 | -1.01083721912801 |
6 | 62 | 50.4370702770509 | 11.5629297229491 |
7 | 45 | 58.187779561103 | -13.1877795611030 |
8 | 50 | 49.0090327054268 | 0.990967294573178 |
9 | 75 | 50.133668834181 | 24.8663311658190 |
10 | 82 | 49.3502507217298 | 32.6497492782702 |
11 | 60 | 53.6127760691744 | 6.38722393082557 |
12 | 59 | 48.3195189549568 | 10.6804810450432 |
13 | 21 | 43.7794857184743 | -22.7794857184743 |
14 | 62 | 54.9798538529239 | 7.0201461470761 |
15 | 54 | 53.9931635522725 | 0.0068364477275441 |
16 | 47 | 51.6015942880781 | -4.60159428807813 |
17 | 59 | 49.3222030026525 | 9.6777969973475 |
18 | 37 | 49.3353396789258 | -12.3353396789258 |
19 | 43 | 56.0004969349573 | -13.0004969349573 |
20 | 48 | 49.5361263025878 | -1.53612630258779 |
21 | 79 | 49.5216973886021 | 29.4783026113979 |
22 | 62 | 50.0952332628143 | 11.9047667371857 |
23 | 16 | 48.9833896728386 | -32.9833896728386 |
24 | 38 | 55.6047487688857 | -17.6047487688857 |
25 | 58 | 51.757504198065 | 6.242495801935 |
26 | 60 | 57.7384851430633 | 2.26151485693674 |
27 | 67 | 53.3713510436979 | 13.6286489563021 |
28 | 55 | 56.6872282018478 | -1.68722820184783 |
29 | 47 | 46.2574080181973 | 0.742591981802725 |
30 | 59 | 53.9379558047557 | 5.06204419524429 |
31 | 49 | 49.047831869063 | -0.0478318690630597 |
32 | 47 | 54.9883914145986 | -7.9883914145986 |
33 | 57 | 47.1881054241825 | 9.81189457581754 |
34 | 39 | 52.3935722599311 | -13.3935722599311 |
35 | 49 | 49.3865795702379 | -0.386579570237898 |
36 | 26 | 48.242273545951 | -22.2422735459511 |
37 | 53 | 51.7580443533549 | 1.24195564664509 |
38 | 75 | 58.4488543421305 | 16.5511456578695 |
39 | 65 | 47.2978747252156 | 17.7021252747844 |
40 | 49 | 58.2604872816027 | -9.26048728160273 |
41 | 48 | 55.1708860474325 | -7.17088604743246 |
42 | 45 | 49.5338936146891 | -4.53389361468915 |
43 | 31 | 54.1582353299209 | -23.1582353299209 |
44 | 61 | 54.7716711179834 | 6.22832888201662 |
45 | 49 | 54.1361204192779 | -5.1361204192779 |
46 | 69 | 49.0850024885426 | 19.9149975114574 |
47 | 54 | 52.9149325985926 | 1.08506740140735 |
48 | 80 | 53.7617045525349 | 26.2382954474651 |
49 | 57 | 56.7644452206825 | 0.235554779317547 |
50 | 34 | 52.3490862820169 | -18.3490862820169 |
51 | 69 | 57.1420760357219 | 11.8579239642781 |
52 | 44 | 48.7252614958083 | -4.72526149580835 |
53 | 70 | 52.6607505984853 | 17.3392494015147 |
54 | 51 | 55.8650122801255 | -4.86501228012553 |
55 | 66 | 51.5512570058816 | 14.4487429941184 |
56 | 18 | 46.9244344438527 | -28.9244344438527 |
57 | 74 | 49.7394531084645 | 24.2605468915355 |
58 | 59 | 54.6995302279488 | 4.30046977205118 |
59 | 48 | 55.9314419418487 | -7.93144194184865 |
60 | 55 | 49.8045672759454 | 5.1954327240546 |
61 | 44 | 50.5696397410586 | -6.56963974105858 |
62 | 56 | 51.986479526336 | 4.01352047366403 |
63 | 65 | 55.3351280673687 | 9.66487193263131 |
64 | 77 | 52.6150190165715 | 24.3849809834285 |
65 | 46 | 45.3857436450983 | 0.61425635490167 |
66 | 70 | 54.3410779681867 | 15.6589220318133 |
67 | 39 | 54.5524444273522 | -15.5524444273522 |
68 | 55 | 59.3390187494025 | -4.33901874940246 |
69 | 44 | 53.0384156384161 | -9.03841563841607 |
70 | 45 | 56.4683324091105 | -11.4683324091105 |
71 | 45 | 52.8442834771808 | -7.84428347718081 |
72 | 49 | 58.2605569672452 | -9.26055696724524 |
73 | 65 | 48.1551418995639 | 16.8448581004361 |
74 | 45 | 50.9692730454757 | -5.9692730454757 |
75 | 71 | 49.3155468247754 | 21.6844531752246 |
76 | 48 | 50.9040230802883 | -2.90402308028825 |
77 | 41 | 46.3865725417958 | -5.38657254179578 |
78 | 40 | 54.4234088893673 | -14.4234088893673 |
79 | 64 | 52.9991764651861 | 11.0008235348139 |
80 | 56 | 53.6776831573423 | 2.32231684265774 |
81 | 52 | 55.1672318876934 | -3.16723188769337 |
82 | 41 | 47.1669139630747 | -6.16691396307471 |
83 | 42 | 52.7597642203348 | -10.7597642203348 |
84 | 54 | 58.1303769171605 | -4.13037691716054 |
85 | 40 | 47.8255198689898 | -7.8255198689898 |
86 | 40 | 49.4696513449374 | -9.46965134493737 |
87 | 51 | 55.4680335780203 | -4.46803357802025 |
88 | 48 | 55.6558883643725 | -7.65588836437252 |
89 | 80 | 62.4793001427889 | 17.5206998572111 |
90 | 38 | 57.3483504592595 | -19.3483504592595 |
91 | 57 | 57.0216305591598 | -0.0216305591597555 |
92 | 28 | 44.8882630066128 | -16.8882630066128 |
93 | 51 | 53.8701651397952 | -2.87016513979517 |
94 | 46 | 51.490009762044 | -5.49000976204398 |
95 | 58 | 53.3339480184928 | 4.66605198150716 |
96 | 67 | 50.9287780045707 | 16.0712219954293 |
97 | 72 | 48.5906673900651 | 23.4093326099349 |
98 | 26 | 48.6181524816782 | -22.6181524816782 |
99 | 54 | 53.8390817363771 | 0.160918263622943 |
100 | 53 | 53.3967192630048 | -0.396719263004798 |
101 | 64 | 46.8995871145523 | 17.1004128854477 |
102 | 47 | 48.5957112245472 | -1.59571122454718 |
103 | 43 | 54.7710864290161 | -11.7710864290161 |
104 | 66 | 47.4292694491622 | 18.5707305508378 |
105 | 54 | 50.1728990825374 | 3.82710091746262 |
106 | 62 | 56.7738835878157 | 5.22611641218431 |
107 | 52 | 50.8934831444521 | 1.10651685554786 |
108 | 64 | 53.0741070795385 | 10.9258929204615 |
109 | 55 | 49.7186490580538 | 5.28135094194622 |
110 | 57 | 54.9531190994082 | 2.04688090059182 |
111 | 74 | 54.035664947457 | 19.9643350525430 |
112 | 32 | 49.0143670547102 | -17.0143670547102 |
113 | 38 | 52.9323366417668 | -14.9323366417668 |
114 | 66 | 52.1031182054533 | 13.8968817945467 |
115 | 37 | 55.5088808818292 | -18.5088808818292 |
116 | 26 | 49.5283945733107 | -23.5283945733107 |
117 | 64 | 51.3482231288045 | 12.6517768711955 |
118 | 28 | 47.3893198940499 | -19.3893198940499 |
119 | 66 | 60.5866201128332 | 5.41337988716681 |
120 | 65 | 54.2982054513544 | 10.7017945486456 |
121 | 48 | 48.4936803092093 | -0.493680309209308 |
122 | 44 | 54.7518905242933 | -10.7518905242933 |
123 | 64 | 56.7921441833638 | 7.2078558166362 |
124 | 39 | 48.72029818031 | -9.72029818031 |
125 | 50 | 53.3495799354858 | -3.34957993548582 |
126 | 66 | 51.6122181741426 | 14.3877818258574 |
127 | 48 | 52.0982219457131 | -4.09822194571310 |
128 | 70 | 55.4479711117546 | 14.5520288882454 |
129 | 66 | 58.7784256393873 | 7.22157436061267 |
130 | 61 | 49.7056967811452 | 11.2943032188548 |
131 | 31 | 48.732352955723 | -17.7323529557230 |
132 | 61 | 54.6760347657122 | 6.32396523428777 |
133 | 54 | 45.0684743181211 | 8.93152568187891 |
134 | 34 | 45.2149963154671 | -11.2149963154671 |
135 | 62 | 49.8284566108289 | 12.1715433891711 |
136 | 47 | 53.841147467513 | -6.84114746751297 |
137 | 52 | 48.1021138553018 | 3.89788614469821 |
138 | 37 | 59.8945094173258 | -22.8945094173258 |
139 | 46 | 46.8097998676881 | -0.809799867688128 |
140 | 38 | 53.0809431521072 | -15.0809431521072 |
141 | 63 | 51.757504198065 | 11.242495801935 |
142 | 34 | 54.9949948139028 | -20.9949948139028 |
143 | 46 | 47.225674051785 | -1.22567405178502 |
144 | 40 | 46.3566514362257 | -6.35665143622572 |
145 | 30 | 47.8255198689898 | -17.8255198689898 |
146 | 35 | 48.2784881954771 | -13.2784881954771 |
147 | 51 | 48.4936803092093 | 2.50631969079069 |
148 | 56 | 55.089911859418 | 0.910088140582046 |
149 | 68 | 52.9455708120432 | 15.0544291879568 |
150 | 39 | 51.4191899341407 | -12.4191899341407 |
151 | 44 | 53.9356715056027 | -9.93567150560273 |
152 | 58 | 51.4191899341407 | 6.58081006585932 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.906584485556144 | 0.186831028887712 | 0.0934155144438562 |
12 | 0.833002869091047 | 0.333994261817906 | 0.166997130908953 |
13 | 0.954564785331215 | 0.0908704293375694 | 0.0454352146687847 |
14 | 0.920552515093133 | 0.158894969813733 | 0.0794474849068666 |
15 | 0.876230730015829 | 0.247538539968343 | 0.123769269984171 |
16 | 0.871639559504647 | 0.256720880990706 | 0.128360440495353 |
17 | 0.817158875581931 | 0.365682248836138 | 0.182841124418069 |
18 | 0.836383348190564 | 0.327233303618872 | 0.163616651809436 |
19 | 0.872476752495675 | 0.255046495008650 | 0.127523247504325 |
20 | 0.861312475865695 | 0.277375048268610 | 0.138687524134305 |
21 | 0.919959732552526 | 0.160080534894948 | 0.0800402674474739 |
22 | 0.908510319228728 | 0.182979361542543 | 0.0914896807712715 |
23 | 0.964971575311987 | 0.0700568493760255 | 0.0350284246880127 |
24 | 0.9817162190004 | 0.0365675619991991 | 0.0182837809995995 |
25 | 0.972966234121493 | 0.0540675317570141 | 0.0270337658785071 |
26 | 0.963585597822903 | 0.0728288043541937 | 0.0364144021770969 |
27 | 0.95586706852882 | 0.08826586294236 | 0.04413293147118 |
28 | 0.940742266020964 | 0.118515467958071 | 0.0592577339790355 |
29 | 0.919193971075365 | 0.161612057849271 | 0.0808060289246353 |
30 | 0.893771031724157 | 0.212457936551686 | 0.106228968275843 |
31 | 0.86872591453739 | 0.262548170925221 | 0.131274085462610 |
32 | 0.861393315372932 | 0.277213369254136 | 0.138606684627068 |
33 | 0.833079594073844 | 0.333840811852313 | 0.166920405926156 |
34 | 0.846211097833152 | 0.307577804333697 | 0.153788902166848 |
35 | 0.811287820625366 | 0.377424358749268 | 0.188712179374634 |
36 | 0.87594144853743 | 0.248117102925139 | 0.124058551462569 |
37 | 0.843594243949253 | 0.312811512101495 | 0.156405756050747 |
38 | 0.844940654072231 | 0.310118691855539 | 0.155059345927769 |
39 | 0.866330347766281 | 0.267339304467438 | 0.133669652233719 |
40 | 0.844673120788621 | 0.310653758422757 | 0.155326879211379 |
41 | 0.822835101175625 | 0.354329797648750 | 0.177164898824375 |
42 | 0.793173158849349 | 0.413653682301303 | 0.206826841150651 |
43 | 0.854539401894449 | 0.290921196211102 | 0.145460598105551 |
44 | 0.826565701582842 | 0.346868596834316 | 0.173434298417158 |
45 | 0.796041793246357 | 0.407916413507286 | 0.203958206753643 |
46 | 0.819301134237778 | 0.361397731524445 | 0.180698865762222 |
47 | 0.782088522130919 | 0.435822955738163 | 0.217911477869082 |
48 | 0.871100441400848 | 0.257799117198305 | 0.128899558599153 |
49 | 0.84227745049085 | 0.315445099018301 | 0.157722549509150 |
50 | 0.857104875460693 | 0.285790249078613 | 0.142895124539307 |
51 | 0.843497596819683 | 0.313004806360633 | 0.156502403180317 |
52 | 0.834757830732526 | 0.330484338534948 | 0.165242169267474 |
53 | 0.84556454715253 | 0.308870905694940 | 0.154435452847470 |
54 | 0.821556501419026 | 0.356886997161948 | 0.178443498580974 |
55 | 0.818493012806894 | 0.363013974386213 | 0.181506987193106 |
56 | 0.929814941449645 | 0.14037011710071 | 0.070185058550355 |
57 | 0.9582857949304 | 0.083428410139199 | 0.0417142050695995 |
58 | 0.94705619827365 | 0.105887603452700 | 0.0529438017263501 |
59 | 0.936788713938335 | 0.126422572123329 | 0.0632112860616647 |
60 | 0.921930907635948 | 0.156138184728104 | 0.078069092364052 |
61 | 0.915252301658444 | 0.169495396683112 | 0.0847476983415558 |
62 | 0.897124425485178 | 0.205751149029643 | 0.102875574514822 |
63 | 0.885162536384724 | 0.229674927230551 | 0.114837463615276 |
64 | 0.933152355886663 | 0.133695288226673 | 0.0668476441133366 |
65 | 0.916158732830082 | 0.167682534339837 | 0.0838412671699184 |
66 | 0.922610086779135 | 0.154779826441731 | 0.0773899132208654 |
67 | 0.931037394180722 | 0.137925211638556 | 0.068962605819278 |
68 | 0.915235794094206 | 0.169528411811588 | 0.0847642059057941 |
69 | 0.90825192263048 | 0.183496154739042 | 0.0917480773695209 |
70 | 0.902653156518795 | 0.194693686962410 | 0.0973468434812049 |
71 | 0.889998154381407 | 0.220003691237187 | 0.110001845618593 |
72 | 0.877055964754627 | 0.245888070490746 | 0.122944035245373 |
73 | 0.889452689004102 | 0.221094621991795 | 0.110547310995898 |
74 | 0.870351284316133 | 0.259297431367734 | 0.129648715683867 |
75 | 0.925390698773926 | 0.149218602452148 | 0.074609301226074 |
76 | 0.907911386593024 | 0.184177226813952 | 0.092088613406976 |
77 | 0.890234683739222 | 0.219530632521555 | 0.109765316260778 |
78 | 0.890770665148064 | 0.218458669703872 | 0.109229334851936 |
79 | 0.894486270453313 | 0.211027459093375 | 0.105513729546687 |
80 | 0.872792054919125 | 0.254415890161749 | 0.127207945080875 |
81 | 0.846977906148545 | 0.306044187702909 | 0.153022093851455 |
82 | 0.822498741111484 | 0.355002517777032 | 0.177501258888516 |
83 | 0.813062526441153 | 0.373874947117695 | 0.186937473558847 |
84 | 0.781496166540126 | 0.437007666919748 | 0.218503833459874 |
85 | 0.756607161452642 | 0.486785677094716 | 0.243392838547358 |
86 | 0.739585031262244 | 0.520829937475512 | 0.260414968737756 |
87 | 0.710158958982883 | 0.579682082034235 | 0.289841041017118 |
88 | 0.697988563997013 | 0.604022872005973 | 0.302011436002987 |
89 | 0.720218728150562 | 0.559562543698877 | 0.279781271849438 |
90 | 0.768871064910916 | 0.462257870178168 | 0.231128935089084 |
91 | 0.729709910347238 | 0.540580179305524 | 0.270290089652762 |
92 | 0.745187763786466 | 0.509624472427067 | 0.254812236213534 |
93 | 0.707404894536794 | 0.585190210926412 | 0.292595105463206 |
94 | 0.682383938552382 | 0.635232122895235 | 0.317616061447618 |
95 | 0.641416239601728 | 0.717167520796545 | 0.358583760398272 |
96 | 0.642818837476366 | 0.714362325047268 | 0.357181162523634 |
97 | 0.72387463771385 | 0.552250724572301 | 0.276125362286150 |
98 | 0.806853773836289 | 0.386292452327423 | 0.193146226163711 |
99 | 0.769056951236136 | 0.461886097527728 | 0.230943048763864 |
100 | 0.727141385484142 | 0.545717229031716 | 0.272858614515858 |
101 | 0.78320809067866 | 0.433583818642679 | 0.216791909321339 |
102 | 0.74493380713415 | 0.510132385731700 | 0.255066192865850 |
103 | 0.754970621104038 | 0.490058757791924 | 0.245029378895962 |
104 | 0.79288356975466 | 0.414232860490679 | 0.207116430245340 |
105 | 0.760751842897627 | 0.478496314204746 | 0.239248157102373 |
106 | 0.725621531898977 | 0.548756936202045 | 0.274378468101023 |
107 | 0.677883707975714 | 0.644232584048571 | 0.322116292024286 |
108 | 0.648865642158395 | 0.70226871568321 | 0.351134357841605 |
109 | 0.612620407214158 | 0.774759185571683 | 0.387379592785842 |
110 | 0.559973828521081 | 0.880052342957838 | 0.440026171478919 |
111 | 0.616603479389773 | 0.766793041220454 | 0.383396520610227 |
112 | 0.643794887666487 | 0.712410224667026 | 0.356205112333513 |
113 | 0.630787277707196 | 0.738425444585608 | 0.369212722292804 |
114 | 0.612704538229719 | 0.774590923540562 | 0.387295461770281 |
115 | 0.628306385397956 | 0.743387229204088 | 0.371693614602044 |
116 | 0.761440647838667 | 0.477118704322666 | 0.238559352161333 |
117 | 0.75373712232401 | 0.49252575535198 | 0.24626287767599 |
118 | 0.828733206132194 | 0.342533587735612 | 0.171266793867806 |
119 | 0.789261644650962 | 0.421476710698076 | 0.210738355349038 |
120 | 0.763185336537162 | 0.473629326925676 | 0.236814663462838 |
121 | 0.710910352882027 | 0.578179294235946 | 0.289089647117973 |
122 | 0.68031051712088 | 0.63937896575824 | 0.31968948287912 |
123 | 0.644910476146118 | 0.710179047707764 | 0.355089523853882 |
124 | 0.636921494127129 | 0.726157011745742 | 0.363078505872871 |
125 | 0.569473087452575 | 0.86105382509485 | 0.430526912547425 |
126 | 0.56146731217799 | 0.87706537564402 | 0.43853268782201 |
127 | 0.48901222505462 | 0.97802445010924 | 0.51098777494538 |
128 | 0.542883326123664 | 0.914233347752672 | 0.457116673876336 |
129 | 0.518786319500513 | 0.962427360998973 | 0.481213680499487 |
130 | 0.595509196014590 | 0.808981607970821 | 0.404490803985410 |
131 | 0.648863022723051 | 0.702273954553898 | 0.351136977276949 |
132 | 0.692869486517902 | 0.614261026964196 | 0.307130513482098 |
133 | 0.615610593001964 | 0.768778813996072 | 0.384389406998036 |
134 | 0.726754801249319 | 0.546490397501362 | 0.273245198750681 |
135 | 0.746652578004773 | 0.506694843990454 | 0.253347421995227 |
136 | 0.787080596528094 | 0.425838806943812 | 0.212919403471906 |
137 | 0.71429755902708 | 0.571404881945838 | 0.285702440972919 |
138 | 0.622387633767318 | 0.755224732465364 | 0.377612366232682 |
139 | 0.490831376076063 | 0.981662752152127 | 0.509168623923937 |
140 | 0.476367700116324 | 0.952735400232648 | 0.523632299883676 |
141 | 0.471436632886288 | 0.942873265772576 | 0.528563367113712 |
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 | 1 | 0.00763358778625954 | OK |
10% type I error level | 7 | 0.0534351145038168 | OK |