Multiple Linear Regression - Estimated Regression Equation |
Personal-Standards[t] = + 7.35806857088718 + 0.335229845129777`Concern(Mistakes)`[t] -0.366768472039511`Doubts(actions)`[t] + 0.161870869815985`Parental-Expectations`[t] + 0.0620916339294919`Parental-Criticism`[t] + 0.391606185783133Organization[t] -0.0947915214066301M1[t] + 0.289928443126254M2[t] + 0.669863771372266M3[t] + 0.159286592158596M4[t] + 0.365862044388642M5[t] + 1.01199387597801M6[t] + 0.433806865976564M7[t] + 1.67117605285828M8[t] + 1.41863032292718M9[t] + 0.923487622100795M10[t] -0.528232240887845M11[t] -0.00392377145820462t + 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) | 7.35806857088718 | 2.610736 | 2.8184 | 0.005521 | 0.00276 |
`Concern(Mistakes)` | 0.335229845129777 | 0.059844 | 5.6018 | 0 | 0 |
`Doubts(actions)` | -0.366768472039511 | 0.116654 | -3.1441 | 0.002032 | 0.001016 |
`Parental-Expectations` | 0.161870869815985 | 0.106932 | 1.5138 | 0.132323 | 0.066161 |
`Parental-Criticism` | 0.0620916339294919 | 0.139806 | 0.4441 | 0.657631 | 0.328815 |
Organization | 0.391606185783133 | 0.07857 | 4.9842 | 2e-06 | 1e-06 |
M1 | -0.0947915214066301 | 1.371116 | -0.0691 | 0.94498 | 0.47249 |
M2 | 0.289928443126254 | 1.372927 | 0.2112 | 0.833055 | 0.416528 |
M3 | 0.669863771372266 | 1.365334 | 0.4906 | 0.624456 | 0.312228 |
M4 | 0.159286592158596 | 1.407608 | 0.1132 | 0.910064 | 0.455032 |
M5 | 0.365862044388642 | 1.402591 | 0.2608 | 0.794591 | 0.397295 |
M6 | 1.01199387597801 | 1.405064 | 0.7202 | 0.472565 | 0.236282 |
M7 | 0.433806865976564 | 1.426762 | 0.304 | 0.761538 | 0.380769 |
M8 | 1.67117605285828 | 1.400483 | 1.1933 | 0.234762 | 0.117381 |
M9 | 1.41863032292718 | 1.385153 | 1.0242 | 0.307509 | 0.153755 |
M10 | 0.923487622100795 | 1.374666 | 0.6718 | 0.502816 | 0.251408 |
M11 | -0.528232240887845 | 1.425316 | -0.3706 | 0.711486 | 0.355743 |
t | -0.00392377145820462 | 0.006235 | -0.6293 | 0.530153 | 0.265076 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.624037149557158 |
R-squared | 0.389422364027423 |
Adjusted R-squared | 0.315806620683212 |
F-TEST (value) | 5.2899331900592 |
F-TEST (DF numerator) | 17 |
F-TEST (DF denominator) | 141 |
p-value | 6.3415130924227e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.48809878442326 |
Sum Squared Residuals | 1715.5234713152 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 22.8775509580749 | 1.12244904192510 |
2 | 25 | 22.6232138400667 | 2.37678615993331 |
3 | 30 | 24.5531500657400 | 5.44684993426003 |
4 | 19 | 20.2569596676826 | -1.25695966768263 |
5 | 22 | 20.7460938670415 | 1.25390613295854 |
6 | 22 | 23.7761838828064 | -1.7761838828064 |
7 | 25 | 22.6204219671288 | 2.37957803287115 |
8 | 23 | 21.0143962243677 | 1.98560377563234 |
9 | 17 | 19.8996545729215 | -2.89965457292149 |
10 | 21 | 22.2358900428701 | -1.23589004287007 |
11 | 19 | 22.1388113888032 | -3.13881138880317 |
12 | 19 | 23.2264186032549 | -4.22641860325494 |
13 | 15 | 23.0052386766923 | -8.00523867669233 |
14 | 16 | 17.2155143178032 | -1.21551431780318 |
15 | 23 | 19.8557189815391 | 3.14428101846091 |
16 | 27 | 23.6516618579992 | 3.34833814200076 |
17 | 22 | 21.243923249228 | 0.756076750772009 |
18 | 14 | 17.3703213300574 | -3.37032133005742 |
19 | 22 | 24.0727675886107 | -2.07276758861067 |
20 | 23 | 25.4750722608101 | -2.47507226081009 |
21 | 23 | 22.8071126058904 | 0.192887394109601 |
22 | 21 | 25.1535597482625 | -4.15355974826248 |
23 | 19 | 21.7756134057833 | -2.7756134057833 |
24 | 18 | 23.643648688968 | -5.64364868896801 |
25 | 20 | 22.7423824693960 | -2.74238246939605 |
26 | 23 | 22.3609449132608 | 0.639055086739163 |
27 | 25 | 23.5248324767398 | 1.47516752326024 |
28 | 19 | 23.2080945333542 | -4.20809453335417 |
29 | 24 | 23.8399824829206 | 0.160017517079393 |
30 | 22 | 22.1341538061665 | -0.134153806166453 |
31 | 25 | 25.2340371040106 | -0.234037104010590 |
32 | 26 | 24.7218247710499 | 1.27817522895007 |
33 | 29 | 23.6017823870647 | 5.39821761293526 |
34 | 32 | 25.7619928352139 | 6.23800716478608 |
35 | 25 | 20.6248548414957 | 4.37514515850427 |
36 | 29 | 24.0870207521947 | 4.91297924780526 |
37 | 28 | 24.5909529215247 | 3.40904707847529 |
38 | 17 | 16.8568308273248 | 0.143169172675234 |
39 | 28 | 26.4751499861387 | 1.52485001386127 |
40 | 29 | 22.7239629167982 | 6.27603708320182 |
41 | 26 | 27.4327404551764 | -1.43274045517642 |
42 | 25 | 24.1113635459213 | 0.888636454078658 |
43 | 14 | 19.5717070330908 | -5.57170703309077 |
44 | 25 | 23.1619241581503 | 1.83807584184967 |
45 | 26 | 22.7594254030034 | 3.2405745969966 |
46 | 20 | 20.7957560023732 | -0.795756002373161 |
47 | 18 | 20.50091434102 | -2.50091434101998 |
48 | 32 | 24.3254899123388 | 7.67451008766118 |
49 | 25 | 24.5711188186367 | 0.428881181363266 |
50 | 25 | 21.4375123963589 | 3.56248760364113 |
51 | 23 | 21.1317697622261 | 1.86823023777391 |
52 | 21 | 21.8842719792225 | -0.88427197922245 |
53 | 20 | 23.9570396213469 | -3.95703962134687 |
54 | 15 | 17.1303869794566 | -2.13038697945661 |
55 | 30 | 26.9872131638163 | 3.01278683618373 |
56 | 24 | 26.5532621558852 | -2.55326215588515 |
57 | 26 | 25.272966318529 | 0.727033681470997 |
58 | 24 | 22.0728151075319 | 1.92718489246812 |
59 | 22 | 20.4001484776036 | 1.59985152239642 |
60 | 14 | 15.1810863861930 | -1.18108638619296 |
61 | 24 | 21.7133478971162 | 2.28665210288377 |
62 | 24 | 22.6522847809149 | 1.34771521908512 |
63 | 24 | 23.4146869502421 | 0.585313049757879 |
64 | 24 | 19.7847209882315 | 4.2152790117685 |
65 | 19 | 18.2514792120305 | 0.748520787969483 |
66 | 31 | 27.3137874184379 | 3.68621258156212 |
67 | 22 | 26.6628212700780 | -4.66282127007797 |
68 | 27 | 22.6556632541872 | 4.34433674581277 |
69 | 19 | 18.5364502791677 | 0.463549720832304 |
70 | 25 | 22.7445031850646 | 2.25549681493536 |
71 | 20 | 23.9959644063116 | -3.99596440631164 |
72 | 21 | 21.0424293738690 | -0.042429373868957 |
73 | 27 | 26.9014694215360 | 0.0985305784640425 |
74 | 23 | 24.1814022572013 | -1.18140225720133 |
75 | 25 | 25.7394767033077 | -0.739476703307729 |
76 | 20 | 21.9246636604855 | -1.92466366048551 |
77 | 21 | 18.9120553468911 | 2.08794465310893 |
78 | 22 | 22.9261786979608 | -0.926178697960797 |
79 | 23 | 22.9220640419638 | 0.0779359580361682 |
80 | 25 | 25.1595325767019 | -0.159532576701885 |
81 | 25 | 24.3330058981788 | 0.66699410182121 |
82 | 17 | 24.2524067832873 | -7.25240678328733 |
83 | 19 | 20.3591588484922 | -1.35915884849218 |
84 | 25 | 23.4083196098233 | 1.59168039017671 |
85 | 19 | 21.6840764492848 | -2.68407644928478 |
86 | 20 | 22.7390500372559 | -2.73905003725591 |
87 | 26 | 22.5482924491443 | 3.45170755085569 |
88 | 23 | 20.3759026306079 | 2.62409736939209 |
89 | 27 | 24.4344818339528 | 2.56551816604722 |
90 | 17 | 21.3194271294415 | -4.31942712944146 |
91 | 17 | 23.1775033066431 | -6.17750330664306 |
92 | 19 | 21.2527789615909 | -2.25277896159087 |
93 | 17 | 20.5152507488465 | -3.5152507488465 |
94 | 22 | 22.2528301148561 | -0.252830114856086 |
95 | 21 | 22.5003917739954 | -1.50039177399538 |
96 | 32 | 28.0319756931785 | 3.96802430682147 |
97 | 21 | 24.0216723917931 | -3.02167239179312 |
98 | 21 | 24.0996479486467 | -3.09964794864667 |
99 | 18 | 21.3087515537514 | -3.30875155375139 |
100 | 18 | 20.8739217986085 | -2.87392179860854 |
101 | 23 | 22.6429407035674 | 0.357059296432621 |
102 | 19 | 20.9696362736129 | -1.96963627361294 |
103 | 20 | 20.7535694692373 | -0.75356946923735 |
104 | 21 | 23.3854773018757 | -2.38547730187568 |
105 | 20 | 24.6983060151162 | -4.69830601511618 |
106 | 17 | 19.0767544624798 | -2.07675446247982 |
107 | 18 | 19.2263270493602 | -1.22632704936020 |
108 | 19 | 20.2782317218098 | -1.27823172180982 |
109 | 22 | 21.4163744021375 | 0.583625597862532 |
110 | 15 | 18.3192610550785 | -3.31926105507852 |
111 | 14 | 18.8338433259475 | -4.83384332594752 |
112 | 18 | 26.2637626300494 | -8.26376263004936 |
113 | 24 | 21.3581929291388 | 2.64180707086116 |
114 | 35 | 23.9901081128231 | 11.0098918871769 |
115 | 29 | 19.1420166978655 | 9.85798330213452 |
116 | 21 | 22.8169448164045 | -1.81694481640451 |
117 | 25 | 21.2173983177046 | 3.78260168229537 |
118 | 20 | 18.7529104974917 | 1.24708950250826 |
119 | 22 | 21.9943312575646 | 0.00566874243537843 |
120 | 13 | 16.1915736154901 | -3.19157361549010 |
121 | 26 | 22.4725117310255 | 3.52748826897454 |
122 | 17 | 16.4708523833231 | 0.529147616676901 |
123 | 25 | 20.1753241177299 | 4.82467588227008 |
124 | 20 | 20.2590370699101 | -0.259037069910140 |
125 | 19 | 17.7872198402884 | 1.21278015971159 |
126 | 21 | 22.8012910846120 | -1.80129108461204 |
127 | 22 | 20.6534800549753 | 1.34651994502468 |
128 | 24 | 23.6562190570294 | 0.343780942970601 |
129 | 21 | 23.6437625807975 | -2.64376258079749 |
130 | 26 | 25.7667594681409 | 0.233240531859075 |
131 | 24 | 19.4926662943236 | 4.50733370567641 |
132 | 16 | 19.5658054227985 | -3.56580542279853 |
133 | 23 | 21.4122051323747 | 1.58779486762532 |
134 | 18 | 20.2638880214482 | -2.26388802144823 |
135 | 16 | 22.3164910049718 | -6.31649100497182 |
136 | 26 | 23.4053779044340 | 2.59462209556598 |
137 | 19 | 18.5996449583555 | 0.400355041644462 |
138 | 21 | 17.2155239616487 | 3.78447603835126 |
139 | 21 | 21.9110543970158 | -0.911054397015845 |
140 | 22 | 19.7107175415605 | 2.28928245843955 |
141 | 23 | 20.6437329982208 | 2.35626700177922 |
142 | 29 | 25.0443698091057 | 3.95563019089431 |
143 | 21 | 18.2222900980423 | 2.77770990195765 |
144 | 21 | 19.1734478651929 | 1.82655213480712 |
145 | 23 | 21.0163156465776 | 1.98368435342239 |
146 | 27 | 22.4801741675949 | 4.51982583240513 |
147 | 25 | 25.2934939106875 | -0.293493910687525 |
148 | 21 | 20.3876623626164 | 0.612337637383651 |
149 | 10 | 16.7942055000621 | -6.79420550006212 |
150 | 20 | 22.9416377770548 | -2.94163777705485 |
151 | 26 | 22.291343905564 | 3.70865609443602 |
152 | 24 | 24.4361869203868 | -0.436186920386799 |
153 | 29 | 32.0711518745589 | -3.07115187455891 |
154 | 19 | 19.0894519433223 | -0.08945194332227 |
155 | 24 | 20.7685278172043 | 3.23147218279573 |
156 | 19 | 19.8445523548884 | -0.844552354888397 |
157 | 24 | 22.5747830838300 | 1.42521691617004 |
158 | 22 | 21.2994230537222 | 0.700576946277849 |
159 | 17 | 23.8290187118340 | -6.82901871183404 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
21 | 0.79485807418249 | 0.41028385163502 | 0.20514192581751 |
22 | 0.679019108696912 | 0.641961782606176 | 0.320980891303088 |
23 | 0.554098259347953 | 0.891803481304094 | 0.445901740652047 |
24 | 0.456518782748368 | 0.913037565496737 | 0.543481217251632 |
25 | 0.371054876012169 | 0.742109752024338 | 0.628945123987831 |
26 | 0.267875081129891 | 0.535750162259783 | 0.732124918870109 |
27 | 0.188207925191981 | 0.376415850383962 | 0.811792074808019 |
28 | 0.171084783151800 | 0.342169566303599 | 0.8289152168482 |
29 | 0.116658049308368 | 0.233316098616737 | 0.883341950691632 |
30 | 0.114745600232955 | 0.22949120046591 | 0.885254399767045 |
31 | 0.0754855530206753 | 0.150971106041351 | 0.924514446979325 |
32 | 0.056867818518768 | 0.113735637037536 | 0.943132181481232 |
33 | 0.187234529875725 | 0.374469059751451 | 0.812765470124275 |
34 | 0.31974362883225 | 0.6394872576645 | 0.68025637116775 |
35 | 0.403238555727362 | 0.806477111454724 | 0.596761444272638 |
36 | 0.525144249917283 | 0.949711500165434 | 0.474855750082717 |
37 | 0.491770702366490 | 0.983541404732979 | 0.508229297633510 |
38 | 0.440137517216526 | 0.880275034433052 | 0.559862482783474 |
39 | 0.377930657897996 | 0.755861315795992 | 0.622069342102004 |
40 | 0.483404058790478 | 0.966808117580957 | 0.516595941209522 |
41 | 0.449279826414309 | 0.898559652828618 | 0.550720173585691 |
42 | 0.399995885190672 | 0.799991770381344 | 0.600004114809328 |
43 | 0.395130302891557 | 0.790260605783115 | 0.604869697108443 |
44 | 0.408941794454662 | 0.817883588909324 | 0.591058205545338 |
45 | 0.359506295567679 | 0.719012591135359 | 0.640493704432321 |
46 | 0.309575241643481 | 0.619150483286961 | 0.690424758356519 |
47 | 0.29015150093885 | 0.5803030018777 | 0.70984849906115 |
48 | 0.405475843774796 | 0.810951687549592 | 0.594524156225204 |
49 | 0.348548123466319 | 0.697096246932639 | 0.651451876533681 |
50 | 0.336709661008017 | 0.673419322016035 | 0.663290338991983 |
51 | 0.374802066056817 | 0.749604132113633 | 0.625197933943183 |
52 | 0.334035045896182 | 0.668070091792365 | 0.665964954103818 |
53 | 0.397705035957663 | 0.795410071915326 | 0.602294964042337 |
54 | 0.368172204705612 | 0.736344409411224 | 0.631827795294388 |
55 | 0.47664760901474 | 0.95329521802948 | 0.52335239098526 |
56 | 0.5250019141373 | 0.9499961717254 | 0.4749980858627 |
57 | 0.493881641422653 | 0.987763282845306 | 0.506118358577347 |
58 | 0.448463470051761 | 0.896926940103522 | 0.551536529948239 |
59 | 0.401276424224926 | 0.802552848449852 | 0.598723575775074 |
60 | 0.357981832208801 | 0.715963664417602 | 0.642018167791199 |
61 | 0.333496530647462 | 0.666993061294925 | 0.666503469352538 |
62 | 0.307571156252691 | 0.615142312505382 | 0.69242884374731 |
63 | 0.285538565186749 | 0.571077130373498 | 0.714461434813251 |
64 | 0.309544692243620 | 0.619089384487241 | 0.69045530775638 |
65 | 0.269678566283126 | 0.539357132566251 | 0.730321433716874 |
66 | 0.265398678770029 | 0.530797357540057 | 0.734601321229971 |
67 | 0.332116220247255 | 0.66423244049451 | 0.667883779752745 |
68 | 0.340493311194692 | 0.680986622389384 | 0.659506688805308 |
69 | 0.300535588985991 | 0.601071177971981 | 0.69946441101401 |
70 | 0.274362915029195 | 0.548725830058389 | 0.725637084970805 |
71 | 0.309052886330456 | 0.618105772660912 | 0.690947113669544 |
72 | 0.271850665401351 | 0.543701330802702 | 0.728149334598649 |
73 | 0.232659807020176 | 0.465319614040352 | 0.767340192979824 |
74 | 0.205118753549364 | 0.410237507098727 | 0.794881246450636 |
75 | 0.210499524336718 | 0.420999048673435 | 0.789500475663282 |
76 | 0.189539124607252 | 0.379078249214505 | 0.810460875392748 |
77 | 0.182781467049027 | 0.365562934098054 | 0.817218532950973 |
78 | 0.150998495866249 | 0.301996991732498 | 0.849001504133751 |
79 | 0.123473202225298 | 0.246946404450597 | 0.876526797774702 |
80 | 0.105035279954074 | 0.210070559908147 | 0.894964720045926 |
81 | 0.0886035315968984 | 0.177207063193797 | 0.911396468403102 |
82 | 0.1855106221806 | 0.3710212443612 | 0.8144893778194 |
83 | 0.153935185067222 | 0.307870370134445 | 0.846064814932778 |
84 | 0.133687737225402 | 0.267375474450804 | 0.866312262774598 |
85 | 0.119025599180853 | 0.238051198361705 | 0.880974400819147 |
86 | 0.109953073411056 | 0.219906146822111 | 0.890046926588944 |
87 | 0.149915198416528 | 0.299830396833056 | 0.850084801583472 |
88 | 0.160815204096792 | 0.321630408193585 | 0.839184795903208 |
89 | 0.156582734507291 | 0.313165469014582 | 0.843417265492709 |
90 | 0.160206907443564 | 0.320413814887129 | 0.839793092556436 |
91 | 0.222502105391899 | 0.445004210783797 | 0.777497894608101 |
92 | 0.198522158890717 | 0.397044317781433 | 0.801477841109284 |
93 | 0.187422748091565 | 0.374845496183129 | 0.812577251908435 |
94 | 0.155608268548472 | 0.311216537096943 | 0.844391731451528 |
95 | 0.131378961974625 | 0.26275792394925 | 0.868621038025375 |
96 | 0.177620603828038 | 0.355241207656077 | 0.822379396171962 |
97 | 0.167406583820928 | 0.334813167641856 | 0.832593416179072 |
98 | 0.151929514468709 | 0.303859028937418 | 0.848070485531291 |
99 | 0.138361081696634 | 0.276722163393268 | 0.861638918303366 |
100 | 0.117374295913193 | 0.234748591826386 | 0.882625704086807 |
101 | 0.0995395840724173 | 0.199079168144835 | 0.900460415927583 |
102 | 0.0864127053841176 | 0.172825410768235 | 0.913587294615882 |
103 | 0.0828389306230848 | 0.165677861246170 | 0.917161069376915 |
104 | 0.0679213132949603 | 0.135842626589921 | 0.93207868670504 |
105 | 0.0820383409206879 | 0.164076681841376 | 0.917961659079312 |
106 | 0.0784228562924296 | 0.156845712584859 | 0.92157714370757 |
107 | 0.074788054562921 | 0.149576109125842 | 0.925211945437079 |
108 | 0.0583368728978555 | 0.116673745795711 | 0.941663127102145 |
109 | 0.0551755774523347 | 0.110351154904669 | 0.944824422547665 |
110 | 0.0657583346374708 | 0.131516669274942 | 0.93424166536253 |
111 | 0.0641770372460662 | 0.128354074492132 | 0.935822962753934 |
112 | 0.315903238931130 | 0.631806477862261 | 0.68409676106887 |
113 | 0.291067870239367 | 0.582135740478734 | 0.708932129760633 |
114 | 0.695309146877793 | 0.609381706244414 | 0.304690853122207 |
115 | 0.903817611862067 | 0.192364776275865 | 0.0961823881379325 |
116 | 0.875991700575682 | 0.248016598848636 | 0.124008299424318 |
117 | 0.910079976345476 | 0.179840047309048 | 0.0899200236545238 |
118 | 0.882784433655623 | 0.234431132688754 | 0.117215566344377 |
119 | 0.90480240381364 | 0.190395192372721 | 0.0951975961863604 |
120 | 0.937260376211633 | 0.125479247576733 | 0.0627396237883666 |
121 | 0.922107870579205 | 0.15578425884159 | 0.077892129420795 |
122 | 0.904650715664149 | 0.190698568671703 | 0.0953492843358513 |
123 | 0.966943652515063 | 0.066112694969873 | 0.0330563474849365 |
124 | 0.94962586376738 | 0.100748272465241 | 0.0503741362326204 |
125 | 0.92925432878797 | 0.141491342424061 | 0.0707456712120305 |
126 | 0.907561962737454 | 0.184876074525092 | 0.0924380372625458 |
127 | 0.885547611234631 | 0.228904777530738 | 0.114452388765369 |
128 | 0.84324045742242 | 0.31351908515516 | 0.15675954257758 |
129 | 0.81656057965859 | 0.366878840682821 | 0.183439420341410 |
130 | 0.805137921345937 | 0.389724157308126 | 0.194862078654063 |
131 | 0.756705800465242 | 0.486588399069516 | 0.243294199534758 |
132 | 0.729965395332664 | 0.540069209334672 | 0.270034604667336 |
133 | 0.638564426853821 | 0.722871146292359 | 0.361435573146179 |
134 | 0.649741849342605 | 0.70051630131479 | 0.350258150657395 |
135 | 0.737947568264606 | 0.524104863470788 | 0.262052431735394 |
136 | 0.626036729752965 | 0.74792654049407 | 0.373963270247035 |
137 | 0.595394569974860 | 0.809210860050281 | 0.404605430025141 |
138 | 0.69254411302319 | 0.614911773953619 | 0.307455886976809 |
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 | 1 | 0.00847457627118644 | OK |