Multiple Linear Regression - Estimated Regression Equation |
Learning[t] = + 13.5078628117885 -5.18203521944939Gender[t] -0.0012444168094538Concern[t] + 0.000772116482002167Concern_G[t] -0.216792193652821Doubts[t] -0.0504114143255668Doubts_G[t] + 0.0604243877511438Expectations[t] + 0.0863311703675794Expectations_G[t] + 0.0249723220996845Standards[t] + 0.0146764424024256Standards_G[t] + 0.11992279614248Organization[t] + 0.177189346574434Organization_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) | 13.5078628117885 | 1.633788 | 8.2678 | 0 | 0 |
Gender | -5.18203521944939 | 2.889215 | -1.7936 | 0.075102 | 0.037551 |
Concern | -0.0012444168094538 | 0.045505 | -0.0273 | 0.978223 | 0.489112 |
Concern_G | 0.000772116482002167 | 0.072392 | 0.0107 | 0.991506 | 0.495753 |
Doubts | -0.216792193652821 | 0.087006 | -2.4917 | 0.013916 | 0.006958 |
Doubts_G | -0.0504114143255668 | 0.138545 | -0.3639 | 0.716526 | 0.358263 |
Expectations | 0.0604243877511438 | 0.068505 | 0.882 | 0.37931 | 0.189655 |
Expectations_G | 0.0863311703675794 | 0.107957 | 0.7997 | 0.425291 | 0.212645 |
Standards | 0.0249723220996845 | 0.056538 | 0.4417 | 0.659414 | 0.329707 |
Standards_G | 0.0146764424024256 | 0.096957 | 0.1514 | 0.879908 | 0.439954 |
Organization | 0.11992279614248 | 0.056605 | 2.1186 | 0.035944 | 0.017972 |
Organization_G | 0.177189346574434 | 0.104356 | 1.6979 | 0.091808 | 0.045904 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.498534553974114 |
R-squared | 0.248536701506169 |
Adjusted R-squared | 0.18775658177505 |
F-TEST (value) | 4.08911174584148 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 136 |
p-value | 3.43259806045992e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.90452270012216 |
Sum Squared Residuals | 493.300113278163 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 16.0531220041886 | -3.05312200418857 |
2 | 16 | 15.9406657089028 | 0.0593342910971947 |
3 | 19 | 15.3693945833167 | 3.63060541668334 |
4 | 15 | 13.5851483952049 | 1.41485160479509 |
5 | 14 | 14.8398257192953 | -0.839825719295306 |
6 | 13 | 15.3041426259097 | -2.30414262590966 |
7 | 19 | 15.0612404955377 | 3.93875950446226 |
8 | 15 | 15.9248522289048 | -0.924852228904775 |
9 | 14 | 15.7578296913903 | -1.75782969139028 |
10 | 15 | 14.6401185186124 | 0.359881481387614 |
11 | 16 | 15.4268663211374 | 0.573133678862553 |
12 | 16 | 14.8606484052036 | 1.1393515947964 |
13 | 16 | 14.8644390707792 | 1.1355609292208 |
14 | 17 | 16.9604087224328 | 0.039591277567177 |
15 | 15 | 12.3279562849625 | 2.6720437150375 |
16 | 15 | 16.0438430737689 | -1.04384307376891 |
17 | 20 | 16.4873831038356 | 3.51261689616439 |
18 | 18 | 16.8288135035943 | 1.17118649640571 |
19 | 16 | 16.546731414645 | -0.546731414645001 |
20 | 16 | 14.4319955075319 | 1.56800449246813 |
21 | 19 | 14.8975413393983 | 4.10245866060173 |
22 | 16 | 14.6231437546389 | 1.37685624536109 |
23 | 17 | 17.1571125758449 | -0.157112575844878 |
24 | 17 | 15.1364316193343 | 1.86356838066571 |
25 | 16 | 14.4422032622917 | 1.55779673770834 |
26 | 15 | 13.752889140095 | 1.24711085990505 |
27 | 14 | 15.7029170199466 | -1.70291701994656 |
28 | 15 | 15.9595648234141 | -0.9595648234141 |
29 | 12 | 14.7799135454968 | -2.77991354549683 |
30 | 14 | 15.0542371026423 | -1.05423710264234 |
31 | 16 | 15.3595517146642 | 0.640448285335816 |
32 | 14 | 15.6368758918144 | -1.63687589181441 |
33 | 10 | 12.8146808555192 | -2.81468085551924 |
34 | 14 | 14.1653442799207 | -0.165344279920668 |
35 | 16 | 16.3919005879631 | -0.391900587963088 |
36 | 16 | 14.2683255840356 | 1.73167441596444 |
37 | 16 | 13.1721011370865 | 2.82789886291348 |
38 | 14 | 15.411477804569 | -1.411477804569 |
39 | 20 | 18.8423355659075 | 1.15766443409246 |
40 | 14 | 14.8520369388871 | -0.852036938887054 |
41 | 14 | 15.1508572331343 | -1.15085723313427 |
42 | 11 | 14.6214740981898 | -3.62147409818977 |
43 | 15 | 15.705479346406 | -0.70547934640602 |
44 | 16 | 15.6287104213874 | 0.371289578612649 |
45 | 14 | 14.9763482467373 | -0.97634824673731 |
46 | 16 | 14.4342291024677 | 1.56577089753228 |
47 | 14 | 14.8728994176262 | -0.872899417626203 |
48 | 12 | 15.1297153084676 | -3.1297153084676 |
49 | 16 | 15.0918911031355 | 0.908108896864501 |
50 | 9 | 11.9158537785387 | -2.91585377853869 |
51 | 14 | 14.5857001682823 | -0.585700168282283 |
52 | 16 | 15.6015222020432 | 0.398477797956813 |
53 | 16 | 15.1798509255626 | 0.820149074437405 |
54 | 15 | 14.6261208698299 | 0.373879130170114 |
55 | 16 | 15.0222668147175 | 0.977733185282478 |
56 | 12 | 13.2984595523681 | -1.29845955236812 |
57 | 16 | 16.6765614542336 | -0.67656145423362 |
58 | 16 | 16.0722750336477 | -0.07227503364772 |
59 | 14 | 16.2646917060952 | -2.2646917060952 |
60 | 16 | 13.2325416404131 | 2.76745835958686 |
61 | 17 | 16.8361671992221 | 0.163832800777918 |
62 | 18 | 14.8261156707186 | 3.1738843292814 |
63 | 18 | 16.1061398939031 | 1.89386010609686 |
64 | 12 | 14.7437248893534 | -2.7437248893534 |
65 | 16 | 16.0534066283651 | -0.0534066283651058 |
66 | 10 | 14.4966156603232 | -4.49661566032317 |
67 | 14 | 13.292452360104 | 0.707547639896045 |
68 | 18 | 15.6149216824867 | 2.38507831751334 |
69 | 18 | 16.668436454512 | 1.33156354548796 |
70 | 16 | 15.6339572344787 | 0.366042765521279 |
71 | 16 | 15.6020987603879 | 0.397901239612105 |
72 | 16 | 14.7839126694337 | 1.2160873305663 |
73 | 13 | 14.3384345626706 | -1.33843456267063 |
74 | 16 | 14.3928936470929 | 1.60710635290705 |
75 | 16 | 14.9473897889577 | 1.05261021104232 |
76 | 20 | 16.380984461519 | 3.61901553848102 |
77 | 16 | 15.3104272321948 | 0.68957276780518 |
78 | 15 | 10.9290781568249 | 4.07092184317509 |
79 | 15 | 15.4802570407779 | -0.48025704077787 |
80 | 16 | 15.805894265004 | 0.194105734996024 |
81 | 14 | 14.3509339906632 | -0.350933990663188 |
82 | 15 | 13.8047118546161 | 1.19528814538389 |
83 | 12 | 15.1105861331594 | -3.11058613315945 |
84 | 17 | 16.1617266527635 | 0.838273347236485 |
85 | 16 | 15.3853065667351 | 0.614693433264925 |
86 | 15 | 13.6865999586281 | 1.31340004137194 |
87 | 13 | 14.6140518772852 | -1.61405187728519 |
88 | 16 | 15.8849005509398 | 0.115099449060164 |
89 | 16 | 15.409999304267 | 0.590000695733015 |
90 | 16 | 16.1124909255941 | -0.112490925594077 |
91 | 16 | 15.7908328019193 | 0.209167198080687 |
92 | 14 | 15.2020660515986 | -1.20206605159858 |
93 | 16 | 14.4486170845089 | 1.5513829154911 |
94 | 16 | 15.3423470593078 | 0.657652940692245 |
95 | 20 | 16.2178822903068 | 3.78211770969323 |
96 | 15 | 16.104040623777 | -1.10404062377701 |
97 | 16 | 14.4157973018649 | 1.58420269813505 |
98 | 13 | 13.452612607659 | -0.452612607659024 |
99 | 17 | 15.8974299260681 | 1.10257007393194 |
100 | 16 | 14.2896430821777 | 1.71035691782226 |
101 | 12 | 13.6167381287677 | -1.61673812876773 |
102 | 16 | 15.1667765307621 | 0.83322346923789 |
103 | 16 | 15.2917006634984 | 0.708299336501571 |
104 | 17 | 15.4482119187887 | 1.55178808121129 |
105 | 13 | 13.0159927941607 | -0.0159927941606898 |
106 | 12 | 15.8202118554908 | -3.82021185549084 |
107 | 18 | 16.1641144484612 | 1.83588555153881 |
108 | 14 | 14.2201676952428 | -0.220167695242777 |
109 | 14 | 14.7562455420886 | -0.756245542088608 |
110 | 13 | 14.265187487489 | -1.26518748748898 |
111 | 16 | 15.4899918861172 | 0.510008113882762 |
112 | 13 | 13.3297013635071 | -0.32970136350707 |
113 | 16 | 15.3045397536833 | 0.695460246316715 |
114 | 13 | 15.1193876849296 | -2.11938768492958 |
115 | 16 | 15.8800287013318 | 0.119971298668177 |
116 | 15 | 14.9033110565 | 0.0966889434999663 |
117 | 16 | 15.4593989287941 | 0.540601071205911 |
118 | 15 | 14.8502854566158 | 0.149714543384221 |
119 | 17 | 15.7866410815481 | 1.21335891845187 |
120 | 15 | 15.9176792750186 | -0.917679275018601 |
121 | 12 | 14.1741137132631 | -2.17411371326315 |
122 | 16 | 14.207439401431 | 1.79256059856898 |
123 | 10 | 14.5235130169568 | -4.52351301695684 |
124 | 16 | 14.8493169612494 | 1.15068303875062 |
125 | 14 | 14.3192684973494 | -0.319268497349389 |
126 | 15 | 16.2180117772926 | -1.2180117772926 |
127 | 13 | 14.3070819105776 | -1.30708191057757 |
128 | 15 | 15.5381897230794 | -0.538189723079434 |
129 | 11 | 14.1941775385563 | -3.19417753855626 |
130 | 12 | 14.468898638148 | -2.46889863814797 |
131 | 16 | 16.0331207011334 | -0.0331207011333533 |
132 | 15 | 15.597652741249 | -0.597652741248951 |
133 | 17 | 15.4224582878409 | 1.57754171215911 |
134 | 16 | 15.6484252428481 | 0.351574757151937 |
135 | 10 | 15.1378886559636 | -5.13788865596359 |
136 | 18 | 14.2888450012249 | 3.7111549987751 |
137 | 13 | 14.2309861584759 | -1.23098615847592 |
138 | 15 | 14.6392346135214 | 0.360765386478589 |
139 | 16 | 14.4422032622917 | 1.55779673770834 |
140 | 16 | 15.1537033570847 | 0.846296642915302 |
141 | 14 | 13.9797910456883 | 0.0202089543116723 |
142 | 10 | 13.7355128058378 | -3.73551280583782 |
143 | 17 | 16.1617266527635 | 0.838273347236485 |
144 | 13 | 14.7976131981177 | -1.79761319811766 |
145 | 15 | 15.9176792750186 | -0.917679275018601 |
146 | 16 | 15.9416975058924 | 0.0583024941075791 |
147 | 12 | 15.5051601924463 | -3.50516019244631 |
148 | 13 | 14.0706346238246 | -1.07063462382465 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.940764351349273 | 0.118471297301455 | 0.0592356486507273 |
16 | 0.885160102594755 | 0.22967979481049 | 0.114839897405245 |
17 | 0.915293159722874 | 0.169413680554253 | 0.0847068402771263 |
18 | 0.86012852353987 | 0.27974295292026 | 0.13987147646013 |
19 | 0.790627912449379 | 0.418744175101242 | 0.209372087550621 |
20 | 0.718400794920581 | 0.563198410158837 | 0.281599205079419 |
21 | 0.91229195413127 | 0.17541609173746 | 0.0877080458687298 |
22 | 0.878336182144198 | 0.243327635711605 | 0.121663817855802 |
23 | 0.845617927629665 | 0.30876414474067 | 0.154382072370335 |
24 | 0.797865775431279 | 0.404268449137443 | 0.202134224568721 |
25 | 0.745666069728364 | 0.508667860543271 | 0.254333930271636 |
26 | 0.713077597089956 | 0.573844805820089 | 0.286922402910044 |
27 | 0.663770263896549 | 0.672459472206901 | 0.336229736103451 |
28 | 0.749494323068778 | 0.501011353862443 | 0.250505676931222 |
29 | 0.803661065544739 | 0.392677868910522 | 0.196338934455261 |
30 | 0.769213096108583 | 0.461573807782835 | 0.230786903891417 |
31 | 0.719180856796117 | 0.561638286407765 | 0.280819143203883 |
32 | 0.669743625116065 | 0.66051274976787 | 0.330256374883935 |
33 | 0.80035136246148 | 0.399297275077039 | 0.199648637538519 |
34 | 0.750815114760207 | 0.498369770479585 | 0.249184885239793 |
35 | 0.722410191120197 | 0.555179617759606 | 0.277589808879803 |
36 | 0.713948505141304 | 0.572102989717393 | 0.286051494858696 |
37 | 0.708265590351411 | 0.583468819297177 | 0.291734409648589 |
38 | 0.705725874911898 | 0.588548250176205 | 0.294274125088102 |
39 | 0.741326475022466 | 0.517347049955068 | 0.258673524977534 |
40 | 0.697434292040789 | 0.605131415918422 | 0.302565707959211 |
41 | 0.693947142713055 | 0.612105714573889 | 0.306052857286945 |
42 | 0.816206329375893 | 0.367587341248214 | 0.183793670624107 |
43 | 0.776686482155484 | 0.446627035689033 | 0.223313517844516 |
44 | 0.73770796011945 | 0.5245840797611 | 0.26229203988055 |
45 | 0.694351163796577 | 0.611297672406845 | 0.305648836203423 |
46 | 0.66326916905442 | 0.67346166189116 | 0.33673083094558 |
47 | 0.615987139139413 | 0.768025721721173 | 0.384012860860587 |
48 | 0.690204491730965 | 0.619591016538069 | 0.309795508269035 |
49 | 0.645298429674414 | 0.709403140651172 | 0.354701570325586 |
50 | 0.687680939133993 | 0.624638121732014 | 0.312319060866007 |
51 | 0.642045237245677 | 0.715909525508646 | 0.357954762754323 |
52 | 0.596291184790132 | 0.807417630419735 | 0.403708815209868 |
53 | 0.572692930104254 | 0.854614139791492 | 0.427307069895746 |
54 | 0.536828393318427 | 0.926343213363146 | 0.463171606681573 |
55 | 0.491699340511385 | 0.98339868102277 | 0.508300659488615 |
56 | 0.453758511341 | 0.907517022682 | 0.546241488659 |
57 | 0.412578682635696 | 0.825157365271391 | 0.587421317364304 |
58 | 0.363673487399464 | 0.727346974798928 | 0.636326512600536 |
59 | 0.399243307945347 | 0.798486615890694 | 0.600756692054653 |
60 | 0.431252267995283 | 0.862504535990567 | 0.568747732004717 |
61 | 0.400322305834153 | 0.800644611668306 | 0.599677694165847 |
62 | 0.486365344998992 | 0.972730689997984 | 0.513634655001008 |
63 | 0.49308404160997 | 0.98616808321994 | 0.50691595839003 |
64 | 0.568488438276266 | 0.863023123447468 | 0.431511561723734 |
65 | 0.520130796773443 | 0.959738406453113 | 0.479869203226557 |
66 | 0.760492416764896 | 0.479015166470209 | 0.239507583235104 |
67 | 0.729038750211491 | 0.541922499577018 | 0.270961249788509 |
68 | 0.761538611254267 | 0.476922777491466 | 0.238461388745733 |
69 | 0.749671204844566 | 0.500657590310868 | 0.250328795155434 |
70 | 0.710165468235253 | 0.579669063529495 | 0.289834531764747 |
71 | 0.667112875285065 | 0.665774249429869 | 0.332887124714935 |
72 | 0.63651434752553 | 0.72697130494894 | 0.36348565247447 |
73 | 0.62655093781793 | 0.746898124364139 | 0.373449062182069 |
74 | 0.637303312172601 | 0.725393375654797 | 0.362696687827399 |
75 | 0.603401016338492 | 0.793197967323016 | 0.396598983661508 |
76 | 0.730379254888467 | 0.539241490223067 | 0.269620745111533 |
77 | 0.693071040061628 | 0.613857919876744 | 0.306928959938372 |
78 | 0.813142258470968 | 0.373715483058064 | 0.186857741529032 |
79 | 0.779028185105177 | 0.441943629789647 | 0.220971814894823 |
80 | 0.739686159687674 | 0.520627680624651 | 0.260313840312326 |
81 | 0.715085849190743 | 0.569828301618514 | 0.284914150809257 |
82 | 0.691228345907234 | 0.617543308185532 | 0.308771654092766 |
83 | 0.77062745169024 | 0.458745096619519 | 0.229372548309759 |
84 | 0.740315425583688 | 0.519369148832623 | 0.259684574416312 |
85 | 0.70390178472057 | 0.592196430558861 | 0.296098215279431 |
86 | 0.696941555552919 | 0.606116888894162 | 0.303058444447081 |
87 | 0.68632532516837 | 0.627349349663259 | 0.313674674831629 |
88 | 0.638557052867866 | 0.722885894264267 | 0.361442947132134 |
89 | 0.592574782895407 | 0.814850434209187 | 0.407425217104593 |
90 | 0.543172825946577 | 0.913654348106847 | 0.456827174053423 |
91 | 0.505829880802484 | 0.988340238395032 | 0.494170119197516 |
92 | 0.509125379513411 | 0.981749240973178 | 0.490874620486589 |
93 | 0.508596710541837 | 0.982806578916325 | 0.491403289458163 |
94 | 0.459494607925028 | 0.918989215850057 | 0.540505392074972 |
95 | 0.616488173044977 | 0.767023653910045 | 0.383511826955023 |
96 | 0.576219019829409 | 0.847561960341182 | 0.423780980170591 |
97 | 0.590795058238922 | 0.818409883522156 | 0.409204941761078 |
98 | 0.537623740460648 | 0.924752519078705 | 0.462376259539353 |
99 | 0.508503353964899 | 0.982993292070203 | 0.491496646035101 |
100 | 0.485828944680629 | 0.971657889361259 | 0.514171055319371 |
101 | 0.46099190376794 | 0.92198380753588 | 0.53900809623206 |
102 | 0.423759084175802 | 0.847518168351603 | 0.576240915824198 |
103 | 0.395302761670189 | 0.790605523340377 | 0.604697238329811 |
104 | 0.410390464976636 | 0.820780929953271 | 0.589609535023364 |
105 | 0.374693027395262 | 0.749386054790524 | 0.625306972604738 |
106 | 0.543990503419065 | 0.912018993161869 | 0.456009496580935 |
107 | 0.514615728093597 | 0.970768543812805 | 0.485384271906403 |
108 | 0.516423169089585 | 0.96715366182083 | 0.483576830910415 |
109 | 0.459662025370599 | 0.919324050741198 | 0.540337974629401 |
110 | 0.411471553921506 | 0.822943107843011 | 0.588528446078494 |
111 | 0.356599679348363 | 0.713199358696726 | 0.643400320651637 |
112 | 0.325456322073787 | 0.650912644147575 | 0.674543677926213 |
113 | 0.284309327706858 | 0.568618655413716 | 0.715690672293142 |
114 | 0.276074040760982 | 0.552148081521965 | 0.723925959239018 |
115 | 0.223561814861245 | 0.44712362972249 | 0.776438185138755 |
116 | 0.193040781526091 | 0.386081563052182 | 0.80695921847391 |
117 | 0.197794401573767 | 0.395588803147535 | 0.802205598426233 |
118 | 0.174168394979082 | 0.348336789958164 | 0.825831605020918 |
119 | 0.157534200536058 | 0.315068401072115 | 0.842465799463942 |
120 | 0.123585389527961 | 0.247170779055923 | 0.876414610472039 |
121 | 0.112034701694866 | 0.224069403389731 | 0.887965298305134 |
122 | 0.1162659472918 | 0.232531894583599 | 0.8837340527082 |
123 | 0.160352491204447 | 0.320704982408894 | 0.839647508795553 |
124 | 0.117632163871819 | 0.235264327743638 | 0.882367836128181 |
125 | 0.0834828494264175 | 0.166965698852835 | 0.916517150573583 |
126 | 0.0565565319514779 | 0.113113063902956 | 0.943443468048522 |
127 | 0.0362592944898875 | 0.072518588979775 | 0.963740705510112 |
128 | 0.0214185330812032 | 0.0428370661624064 | 0.978581466918797 |
129 | 0.0169808611077899 | 0.0339617222155798 | 0.98301913889221 |
130 | 0.012519158782199 | 0.0250383175643981 | 0.9874808412178 |
131 | 0.00602224233810134 | 0.0120444846762027 | 0.993977757661899 |
132 | 0.00257565077121935 | 0.0051513015424387 | 0.99742434922878 |
133 | 0.00202657121462797 | 0.00405314242925594 | 0.997973428785372 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 2 | 0.0168067226890756 | NOK |
5% type I error level | 6 | 0.0504201680672269 | NOK |
10% type I error level | 7 | 0.0588235294117647 | OK |