Multiple Linear Regression - Estimated Regression Equation |
Personal_Standards[t] = + 6.85249471188449 + 0.334156412849869Concern_over_Mistakes[t] -0.370092394686343Doubts_about_actions[t] + 0.1593164710071Parental_Expectations[t] + 0.0649584207606233Parental_Criticism[t] + 0.40340194756281Organization[t] -0.112988112395845M1[t] + 0.30165765044183M2[t] + 0.663745180491903M3[t] + 0.151960848781343M4[t] + 0.37281959143706M5[t] + 1.0266247528337M6[t] + 0.417404861828112M7[t] + 1.66380986838678M8[t] + 1.41001962150359M9[t] + 0.924259509685395M10[t] -0.535671626926254M11[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) | 6.85249471188449 | 2.478774 | 2.7645 | 0.006459 | 0.003229 |
Concern_over_Mistakes | 0.334156412849869 | 0.059692 | 5.598 | 0 | 0 |
Doubts_about_actions | -0.370092394686343 | 0.116287 | -3.1826 | 0.001793 | 0.000897 |
Parental_Expectations | 0.1593164710071 | 0.106628 | 1.4941 | 0.137359 | 0.068679 |
Parental_Criticism | 0.0649584207606233 | 0.139434 | 0.4659 | 0.642021 | 0.32101 |
Organization | 0.40340194756281 | 0.076139 | 5.2982 | 0 | 0 |
M1 | -0.112988112395845 | 1.367893 | -0.0826 | 0.934286 | 0.467143 |
M2 | 0.30165765044183 | 1.369878 | 0.2202 | 0.826026 | 0.413013 |
M3 | 0.663745180491903 | 1.362393 | 0.4872 | 0.626874 | 0.313437 |
M4 | 0.151960848781343 | 1.404563 | 0.1082 | 0.913997 | 0.456999 |
M5 | 0.37281959143706 | 1.399561 | 0.2664 | 0.790331 | 0.395165 |
M6 | 1.0266247528337 | 1.401881 | 0.7323 | 0.465181 | 0.23259 |
M7 | 0.417404861828112 | 1.423488 | 0.2932 | 0.769777 | 0.384888 |
M8 | 1.66380986838678 | 1.397453 | 1.1906 | 0.235797 | 0.117898 |
M9 | 1.41001962150359 | 1.382136 | 1.0202 | 0.309381 | 0.15469 |
M10 | 0.924259509685395 | 1.371739 | 0.6738 | 0.501542 | 0.250771 |
M11 | -0.535671626926254 | 1.422233 | -0.3766 | 0.707002 | 0.353501 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.622661478001645 |
R-squared | 0.387707316187193 |
Adjusted R-squared | 0.318716591250539 |
F-TEST (value) | 5.61970201854202 |
F-TEST (DF numerator) | 16 |
F-TEST (DF denominator) | 142 |
p-value | 3.06102809766173e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.48067319339608 |
Sum Squared Residuals | 1720.3421948501 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 22.5983998491154 | 1.40160015088464 |
2 | 25 | 22.3501737991026 | 2.64982620089741 |
3 | 30 | 24.289440604982 | 5.71055939501796 |
4 | 19 | 19.969239125828 | -0.969239125827967 |
5 | 22 | 20.4404510197526 | 1.55954898024736 |
6 | 22 | 23.5898612001837 | -1.58986120018371 |
7 | 25 | 22.3494674370374 | 2.65053256296261 |
8 | 23 | 20.7302555525834 | 2.26974444741664 |
9 | 17 | 19.5972008934956 | -2.59720089349562 |
10 | 21 | 21.9972686559548 | -0.997268655954792 |
11 | 19 | 21.8827978343171 | -2.88279783431708 |
12 | 19 | 22.8959611609948 | -3.89596116099485 |
13 | 15 | 22.741273172611 | -7.74127317261104 |
14 | 16 | 16.891720346986 | -0.891720346985973 |
15 | 23 | 19.6045611371196 | 3.39543886288044 |
16 | 27 | 23.4787982160266 | 3.52120178397344 |
17 | 22 | 20.9982803981574 | 1.00171960184259 |
18 | 14 | 17.0436984178923 | -3.04369841789228 |
19 | 22 | 23.8370243671717 | -1.83702436717173 |
20 | 23 | 25.1848214397522 | -2.18482143975215 |
21 | 23 | 22.5418994267821 | 0.458100573217887 |
22 | 21 | 24.8668720012348 | -3.86687200123479 |
23 | 19 | 21.5496071654349 | -2.5496071654349 |
24 | 18 | 23.4211268547222 | -5.42112685472224 |
25 | 20 | 22.5848651810081 | -2.58486518100814 |
26 | 23 | 22.195935403893 | 0.804064596106976 |
27 | 25 | 23.3296809283744 | 1.67031907162564 |
28 | 19 | 23.0282953297813 | -4.02829532978134 |
29 | 24 | 23.6578579507454 | 0.342142049254587 |
30 | 22 | 21.9680563725895 | 0.0319436274104594 |
31 | 25 | 25.1109847781952 | -0.110984778195152 |
32 | 26 | 24.5374145383417 | 1.46258546165829 |
33 | 29 | 23.3332883639964 | 5.66671163600361 |
34 | 32 | 25.6214806718057 | 6.37851932819433 |
35 | 25 | 20.4310972440142 | 4.56890275598576 |
36 | 29 | 23.9360710083595 | 5.0639289916405 |
37 | 28 | 24.394093491994 | 3.605906508006 |
38 | 17 | 16.6881400166633 | 0.31185998333674 |
39 | 28 | 26.2901767409732 | 1.70982325902683 |
40 | 29 | 22.5620085370306 | 6.43799146296937 |
41 | 26 | 27.3538958629773 | -1.35389586297727 |
42 | 25 | 23.9930301701279 | 1.00696982987215 |
43 | 14 | 19.3510385979061 | -5.35103859790606 |
44 | 25 | 23.0182324804033 | 1.9817675195967 |
45 | 26 | 22.6357955136226 | 3.36420448637736 |
46 | 20 | 20.7051889143151 | -0.705188914315135 |
47 | 18 | 20.3803193595599 | -2.38031935955988 |
48 | 32 | 24.2036083154564 | 7.79639168454357 |
49 | 25 | 24.4388284373862 | 0.561171562613776 |
50 | 25 | 21.2929861835286 | 3.70701381647143 |
51 | 23 | 21.0208910910769 | 1.97910890892308 |
52 | 21 | 21.801551199464 | -0.801551199464008 |
53 | 20 | 23.9342381633844 | -3.93423816338436 |
54 | 15 | 17.0044493080387 | -2.00444930803874 |
55 | 30 | 26.8563426466572 | 3.14365735334275 |
56 | 24 | 26.5232916809371 | -2.52329168093707 |
57 | 26 | 25.2363490715878 | 0.763650928412178 |
58 | 24 | 21.9916980475719 | 2.00830195242813 |
59 | 22 | 20.4063567882031 | 1.59364321179687 |
60 | 14 | 15.0245112216697 | -1.02451122166975 |
61 | 24 | 21.6708061937604 | 2.32919380623961 |
62 | 24 | 22.6130244744736 | 1.38697552552639 |
63 | 24 | 23.4044970714702 | 0.595502928529775 |
64 | 24 | 19.7488741574509 | 4.25112584254914 |
65 | 19 | 18.2214725637827 | 0.778527436217349 |
66 | 31 | 27.3593378655659 | 3.64066213443407 |
67 | 22 | 26.6218045032383 | -4.62180450323831 |
68 | 27 | 22.596667260238 | 4.40333273976202 |
69 | 19 | 18.5266848418194 | 0.473315158180569 |
70 | 25 | 22.7460633732508 | 2.25393662674918 |
71 | 20 | 23.9538129310552 | -3.9538129310552 |
72 | 21 | 21.0374369821878 | -0.0374369821877996 |
73 | 27 | 26.8961909213928 | 0.103809078607211 |
74 | 23 | 24.1537863151167 | -1.15378631511665 |
75 | 25 | 25.7380213530364 | -0.738021353036382 |
76 | 20 | 21.8920350263386 | -1.89203502633858 |
77 | 21 | 18.9339674814873 | 2.06603251851267 |
78 | 22 | 22.9519985207818 | -0.951998520781767 |
79 | 23 | 22.9892512371015 | 0.0107487628985322 |
80 | 25 | 25.1373752925557 | -0.13737529255568 |
81 | 25 | 24.3793692182207 | 0.620630781779336 |
82 | 17 | 24.3316144685456 | -7.3316144685456 |
83 | 19 | 20.3586233541285 | -1.35862335412847 |
84 | 25 | 23.4551782966184 | 1.54482170338161 |
85 | 19 | 21.7349870254826 | -2.73498702548261 |
86 | 20 | 22.7858399135692 | -2.78583991356919 |
87 | 26 | 22.5915206417489 | 3.40847935825114 |
88 | 23 | 20.4876803122754 | 2.51231968772456 |
89 | 27 | 24.4739094000259 | 2.5260905999741 |
90 | 17 | 21.3651148582308 | -4.36511485823084 |
91 | 17 | 23.2084174838922 | -6.20841748389221 |
92 | 19 | 21.3533357694662 | -2.35333576946622 |
93 | 17 | 20.5748857342479 | -3.57488573424785 |
94 | 22 | 22.27480789833 | -0.274807898330005 |
95 | 21 | 22.6288813498089 | -1.62888134980886 |
96 | 32 | 28.1240171402766 | 3.87598285972337 |
97 | 21 | 24.0769821528683 | -3.07698215286835 |
98 | 21 | 24.1521256301243 | -3.15212563012434 |
99 | 18 | 21.3723276805754 | -3.37232768057538 |
100 | 18 | 20.9103911893702 | -2.91039118937019 |
101 | 23 | 22.7207600235368 | 0.279239976463159 |
102 | 19 | 21.0738079701298 | -2.07380797012977 |
103 | 20 | 20.753224596279 | -0.75322459627898 |
104 | 21 | 23.4845549731727 | -2.48455497317272 |
105 | 20 | 24.8675401713321 | -4.86754017133209 |
106 | 17 | 19.0776735155312 | -2.07767351553116 |
107 | 18 | 19.2790753612779 | -1.27907536127787 |
108 | 19 | 20.3131446122449 | -1.31314461224493 |
109 | 22 | 21.4878539874189 | 0.512146012581074 |
110 | 15 | 18.4265069306332 | -3.42650693063323 |
111 | 14 | 18.9306777030369 | -4.93067770303689 |
112 | 18 | 26.4103072897199 | -8.41030728971993 |
113 | 24 | 21.498289634365 | 2.501710365635 |
114 | 35 | 24.0824552382229 | 10.9175447617771 |
115 | 29 | 19.3240721116116 | 9.67592788838835 |
116 | 21 | 22.9796209967813 | -1.97962099678128 |
117 | 25 | 21.2666064485026 | 3.73339355149745 |
118 | 20 | 18.8746326657889 | 1.12536733421109 |
119 | 22 | 22.1454594740557 | -0.1454594740557 |
120 | 13 | 16.2431973967479 | -3.24319739674791 |
121 | 26 | 22.6089180570591 | 3.39108194294092 |
122 | 17 | 16.5822635590892 | 0.417736440910772 |
123 | 25 | 20.2959976756243 | 4.70400232437565 |
124 | 20 | 20.4867606355997 | -0.486760635599708 |
125 | 19 | 17.9867276561936 | 1.01327234380639 |
126 | 21 | 22.9975235473161 | -1.99752354731611 |
127 | 22 | 20.8561517435908 | 1.14384825640918 |
128 | 24 | 23.889015679515 | 0.110984320484983 |
129 | 21 | 23.8799128354004 | -2.87991283540036 |
130 | 26 | 25.9798195562401 | 0.0201804437599126 |
131 | 24 | 19.6441396336953 | 4.35586036630469 |
132 | 16 | 19.7710716822945 | -3.7710716822945 |
133 | 23 | 21.6550579872736 | 1.3449420127264 |
134 | 18 | 20.5118425264845 | -2.5118425264845 |
135 | 16 | 22.542310427475 | -6.54231042747502 |
136 | 26 | 23.59207763797 | 2.40792236202999 |
137 | 19 | 18.7985157316019 | 0.201484268398134 |
138 | 21 | 17.3527913880341 | 3.64720861196585 |
139 | 21 | 22.1678896151079 | -1.16788961510787 |
140 | 22 | 19.8638308674614 | 2.13616913253863 |
141 | 23 | 20.7720144850642 | 2.22798551493581 |
142 | 29 | 25.2745119899244 | 3.72548801007562 |
143 | 21 | 18.3120666627572 | 2.68793333724276 |
144 | 21 | 19.4400476037968 | 1.55995239620316 |
145 | 23 | 21.2433556202828 | 1.7566443797172 |
146 | 27 | 22.7470884671403 | 4.2529115328597 |
147 | 25 | 25.5018999362049 | -0.501899936204934 |
148 | 21 | 20.6319813431448 | 0.368018656855218 |
149 | 10 | 16.9816341139897 | -6.9816341139897 |
150 | 20 | 23.2178751428864 | -3.21787514288639 |
151 | 26 | 22.5743308822111 | 3.4256691177889 |
152 | 24 | 24.7015834687921 | -0.701583468792133 |
153 | 29 | 32.3884529959283 | -3.38845299592828 |
154 | 19 | 19.2583682415068 | -0.258368241506766 |
155 | 24 | 21.0277628416921 | 2.97223715830786 |
156 | 19 | 20.1346277246302 | -1.13462772463022 |
157 | 24 | 22.8683879223467 | 1.13161207765331 |
158 | 22 | 21.6085664331955 | 0.391433566804476 |
159 | 17 | 24.0879970083019 | -7.08799700830191 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
20 | 0.757430088246457 | 0.485139823507086 | 0.242569911753543 |
21 | 0.701305383097988 | 0.597389233804025 | 0.298694616902012 |
22 | 0.579490272149178 | 0.841019455701645 | 0.420509727850822 |
23 | 0.453100827960766 | 0.906201655921531 | 0.546899172039234 |
24 | 0.398295763542315 | 0.796591527084629 | 0.601704236457685 |
25 | 0.295997842478438 | 0.591995684956876 | 0.704002157521562 |
26 | 0.226468938381629 | 0.452937876763258 | 0.773531061618371 |
27 | 0.16875529749765 | 0.337510594995301 | 0.83124470250235 |
28 | 0.215091006110741 | 0.430182012221482 | 0.784908993889259 |
29 | 0.153246074352864 | 0.306492148705728 | 0.846753925647136 |
30 | 0.1207661965199 | 0.2415323930398 | 0.8792338034801 |
31 | 0.0890305257935367 | 0.178061051587073 | 0.910969474206463 |
32 | 0.0598377976279819 | 0.119675595255964 | 0.940162202372018 |
33 | 0.16270136528274 | 0.32540273056548 | 0.83729863471726 |
34 | 0.258165920890453 | 0.516331841780907 | 0.741834079109546 |
35 | 0.333645706474624 | 0.667291412949249 | 0.666354293525376 |
36 | 0.473623156311012 | 0.947246312622025 | 0.526376843688988 |
37 | 0.45265403926011 | 0.905308078520219 | 0.54734596073989 |
38 | 0.393627562432702 | 0.787255124865404 | 0.606372437567298 |
39 | 0.341324685574297 | 0.682649371148594 | 0.658675314425703 |
40 | 0.478786711196823 | 0.957573422393646 | 0.521213288803177 |
41 | 0.441375449563054 | 0.882750899126108 | 0.558624550436946 |
42 | 0.410868484588936 | 0.821736969177872 | 0.589131515411064 |
43 | 0.382445635036374 | 0.764891270072748 | 0.617554364963626 |
44 | 0.384559773906192 | 0.769119547812385 | 0.615440226093808 |
45 | 0.346320312132223 | 0.692640624264447 | 0.653679687867777 |
46 | 0.292232898062271 | 0.584465796124543 | 0.707767101937729 |
47 | 0.264305760740406 | 0.528611521480813 | 0.735694239259594 |
48 | 0.406058592009267 | 0.812117184018534 | 0.593941407990733 |
49 | 0.350937438920874 | 0.701874877841749 | 0.649062561079126 |
50 | 0.352636129441421 | 0.705272258882841 | 0.647363870558579 |
51 | 0.373962270196831 | 0.747924540393662 | 0.626037729803169 |
52 | 0.325267931889747 | 0.650535863779495 | 0.674732068110253 |
53 | 0.374967105249708 | 0.749934210499415 | 0.625032894750292 |
54 | 0.344189363711345 | 0.68837872742269 | 0.655810636288655 |
55 | 0.483387715533512 | 0.966775431067024 | 0.516612284466488 |
56 | 0.515353030655374 | 0.969293938689252 | 0.484646969344626 |
57 | 0.479538063411828 | 0.959076126823656 | 0.520461936588172 |
58 | 0.437027765465332 | 0.874055530930664 | 0.562972234534668 |
59 | 0.390905544835725 | 0.78181108967145 | 0.609094455164275 |
60 | 0.353160651356885 | 0.706321302713771 | 0.646839348643115 |
61 | 0.340891297374978 | 0.681782594749957 | 0.659108702625022 |
62 | 0.309817424042619 | 0.619634848085239 | 0.69018257595738 |
63 | 0.282445980731749 | 0.564891961463497 | 0.717554019268251 |
64 | 0.321488148466317 | 0.642976296932634 | 0.678511851533683 |
65 | 0.285368676766168 | 0.570737353532336 | 0.714631323233832 |
66 | 0.287060464600539 | 0.574120929201077 | 0.712939535399461 |
67 | 0.337942708461556 | 0.675885416923111 | 0.662057291538445 |
68 | 0.351191990462686 | 0.702383980925372 | 0.648808009537314 |
69 | 0.307810044093833 | 0.615620088187667 | 0.692189955906167 |
70 | 0.282188724983379 | 0.564377449966758 | 0.717811275016621 |
71 | 0.307826574755285 | 0.615653149510569 | 0.692173425244715 |
72 | 0.267457927345407 | 0.534915854690814 | 0.732542072654593 |
73 | 0.227260046688535 | 0.45452009337707 | 0.772739953311465 |
74 | 0.197169720948464 | 0.394339441896929 | 0.802830279051536 |
75 | 0.196215200310022 | 0.392430400620043 | 0.803784799689979 |
76 | 0.176078179659131 | 0.352156359318261 | 0.823921820340869 |
77 | 0.16730410771109 | 0.334608215422179 | 0.83269589228891 |
78 | 0.138376594004867 | 0.276753188009734 | 0.861623405995133 |
79 | 0.113189954357792 | 0.226379908715584 | 0.886810045642208 |
80 | 0.0939762060425665 | 0.187952412085133 | 0.906023793957434 |
81 | 0.0768987251293899 | 0.15379745025878 | 0.92310127487061 |
82 | 0.173304959345508 | 0.346609918691015 | 0.826695040654492 |
83 | 0.144972482426725 | 0.289944964853449 | 0.855027517573275 |
84 | 0.12275053660968 | 0.245501073219359 | 0.87724946339032 |
85 | 0.113143230046173 | 0.226286460092347 | 0.886856769953827 |
86 | 0.108020529073349 | 0.216041058146699 | 0.89197947092665 |
87 | 0.134450256987584 | 0.268900513975169 | 0.865549743012416 |
88 | 0.133884299338039 | 0.267768598676078 | 0.866115700661961 |
89 | 0.122142753286297 | 0.244285506572594 | 0.877857246713703 |
90 | 0.137022923668244 | 0.274045847336487 | 0.862977076331756 |
91 | 0.222345261571378 | 0.444690523142757 | 0.777654738428622 |
92 | 0.203627402308833 | 0.407254804617666 | 0.796372597691167 |
93 | 0.201465833918451 | 0.402931667836902 | 0.798534166081549 |
94 | 0.167081662161434 | 0.334163324322867 | 0.832918337838567 |
95 | 0.144713615508955 | 0.28942723101791 | 0.855286384491045 |
96 | 0.174180445582542 | 0.348360891165085 | 0.825819554417458 |
97 | 0.1793810974998 | 0.358762194999601 | 0.8206189025002 |
98 | 0.175243195000591 | 0.350486390001182 | 0.824756804999409 |
99 | 0.169689067597422 | 0.339378135194843 | 0.830310932402578 |
100 | 0.153577874386716 | 0.307155748773432 | 0.846422125613284 |
101 | 0.128265494474379 | 0.256530988948757 | 0.871734505525621 |
102 | 0.11602038614173 | 0.23204077228346 | 0.88397961385827 |
103 | 0.110888781055962 | 0.221777562111924 | 0.889111218944038 |
104 | 0.095386211133143 | 0.190772422266286 | 0.904613788866857 |
105 | 0.119463157948182 | 0.238926315896364 | 0.880536842051818 |
106 | 0.11066435195929 | 0.221328703918579 | 0.88933564804071 |
107 | 0.101138461989135 | 0.202276923978271 | 0.898861538010865 |
108 | 0.079792772079411 | 0.159585544158822 | 0.92020722792059 |
109 | 0.066001410853454 | 0.132002821706908 | 0.933998589146546 |
110 | 0.06661986955296 | 0.13323973910592 | 0.93338013044704 |
111 | 0.066402665950305 | 0.13280533190061 | 0.933597334049695 |
112 | 0.189661786981588 | 0.379323573963176 | 0.810338213018412 |
113 | 0.184156110987378 | 0.368312221974755 | 0.815843889012623 |
114 | 0.709300461453205 | 0.581399077093591 | 0.290699538546795 |
115 | 0.920716115651404 | 0.158567768697191 | 0.0792838843485957 |
116 | 0.896781829260608 | 0.206436341478784 | 0.103218170739392 |
117 | 0.932452219219888 | 0.135095561560223 | 0.0675477807801116 |
118 | 0.909532939441305 | 0.180934121117389 | 0.0904670605586947 |
119 | 0.92501658644059 | 0.149966827118819 | 0.0749834135594094 |
120 | 0.94092821529941 | 0.118143569401181 | 0.0590717847005905 |
121 | 0.921645000133646 | 0.156709999732707 | 0.0783549998663537 |
122 | 0.893829439338044 | 0.212341121323912 | 0.106170560661956 |
123 | 0.973182285040208 | 0.053635429919585 | 0.0268177149597925 |
124 | 0.958949522819624 | 0.0821009543607516 | 0.0410504771803758 |
125 | 0.942029402498017 | 0.115941195003967 | 0.0579705975019833 |
126 | 0.919290955379192 | 0.161418089241616 | 0.080709044620808 |
127 | 0.891152243929228 | 0.217695512141544 | 0.108847756070772 |
128 | 0.856561792979406 | 0.286876414041188 | 0.143438207020594 |
129 | 0.833100649568395 | 0.333798700863209 | 0.166899350431605 |
130 | 0.79565975605079 | 0.408680487898418 | 0.204340243949209 |
131 | 0.736863007331624 | 0.526273985336752 | 0.263136992668376 |
132 | 0.666299524712448 | 0.667400950575104 | 0.333700475287552 |
133 | 0.598642025444179 | 0.802715949111642 | 0.401357974555821 |
134 | 0.519200493673635 | 0.96159901265273 | 0.480799506326365 |
135 | 0.450774785013379 | 0.901549570026758 | 0.549225214986621 |
136 | 0.384688754745018 | 0.769377509490037 | 0.615311245254982 |
137 | 0.46953662127103 | 0.93907324254206 | 0.53046337872897 |
138 | 0.657909620584821 | 0.684180758830358 | 0.342090379415179 |
139 | 0.52986783693551 | 0.94026432612898 | 0.47013216306449 |
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 | 0.0166666666666667 | OK |