Multiple Linear Regression - Estimated Regression Equation |
DoubtsAboutActions[t] = + 15.2586833489025 -5.71186637540504Gen[t] -0.0399576756832597ParentalExpectations[t] + 0.205268544988714Expect_gen[t] -0.269755212692944ParentalCritism[t] + 0.376649954168655Critism_gen[t] + 0.00542610174784382PersonalStandards[t] -0.0304886794035444PersStand_gen[t] -0.0841192000992633Popularity[t] -0.0928346463942527Popular_gen[t] -0.0288364530367456KnowingPeople[t] + 0.120074648121647Knowing_gen[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) | 15.2586833489025 | 3.469091 | 4.3985 | 4.1e-05 | 2.1e-05 |
Gen | -5.71186637540504 | 5.142306 | -1.1108 | 0.270764 | 0.135382 |
ParentalExpectations | -0.0399576756832597 | 0.172009 | -0.2323 | 0.817034 | 0.408517 |
Expect_gen | 0.205268544988714 | 0.252377 | 0.8133 | 0.418991 | 0.209496 |
ParentalCritism | -0.269755212692944 | 0.261671 | -1.0309 | 0.306412 | 0.153206 |
Critism_gen | 0.376649954168655 | 0.337174 | 1.1171 | 0.268073 | 0.134036 |
PersonalStandards | 0.00542610174784382 | 0.134226 | 0.0404 | 0.967878 | 0.483939 |
PersStand_gen | -0.0304886794035444 | 0.174907 | -0.1743 | 0.862161 | 0.43108 |
Popularity | -0.0841192000992633 | 0.206976 | -0.4064 | 0.685768 | 0.342884 |
Popular_gen | -0.0928346463942527 | 0.269905 | -0.344 | 0.731991 | 0.365996 |
KnowingPeople | -0.0288364530367456 | 0.180664 | -0.1596 | 0.87368 | 0.43684 |
Knowing_gen | 0.120074648121647 | 0.249418 | 0.4814 | 0.631835 | 0.315918 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.330628707781600 |
R-squared | 0.109315342409330 |
Adjusted R-squared | -0.041415907336783 |
F-TEST (value) | 0.725233437614678 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 65 |
p-value | 0.710389521294558 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.91767808551436 |
Sum Squared Residuals | 553.3349516949 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 9 | 10.9843608246103 | -1.98436082461031 |
2 | 9 | 10.6477434232980 | -1.64774342329802 |
3 | 9 | 11.2151624511158 | -2.21516245111579 |
4 | 8 | 10.0122836667515 | -2.01228366675145 |
5 | 14 | 10.7468006864689 | 3.2531993135311 |
6 | 14 | 11.6545373339616 | 2.34546266603840 |
7 | 15 | 11.927318915103 | 3.07268108489701 |
8 | 11 | 11.3756749335014 | -0.375674933501403 |
9 | 14 | 11.6986060803708 | 2.30139391962917 |
10 | 8 | 7.94021155873154 | 0.0597884412684561 |
11 | 16 | 12.8151831465575 | 3.18481685344248 |
12 | 11 | 11.0558189310528 | -0.0558189310528119 |
13 | 7 | 11.5132396134445 | -4.51323961344454 |
14 | 9 | 11.0695993318611 | -2.06959933186112 |
15 | 16 | 12.8933888874664 | 3.10661111253358 |
16 | 10 | 10.7756728592189 | -0.775672859218851 |
17 | 14 | 11.0393259536777 | 2.96067404632232 |
18 | 11 | 12.1994354301078 | -1.19943543010778 |
19 | 6 | 10.7712653742891 | -4.77126537428911 |
20 | 12 | 10.9102716831237 | 1.08972831687631 |
21 | 14 | 10.9084957169918 | 3.09150428300821 |
22 | 13 | 11.2283107274425 | 1.77168927255746 |
23 | 14 | 10.8269688797324 | 3.17303112026758 |
24 | 10 | 11.0348530857941 | -1.03485308579411 |
25 | 14 | 10.9271770407598 | 3.07282295924025 |
26 | 8 | 10.7544937691518 | -2.75449376915176 |
27 | 10 | 10.3626278953825 | -0.362627895382517 |
28 | 9 | 11.4360318924465 | -2.43603189244655 |
29 | 9 | 9.66292102588606 | -0.662921025886059 |
30 | 15 | 12.7828335611981 | 2.21716643880192 |
31 | 12 | 10.3682880062507 | 1.6317119937493 |
32 | 14 | 10.5796393013895 | 3.42036069861049 |
33 | 11 | 12.7812353623248 | -1.7812353623248 |
34 | 12 | 11.9222200056387 | 0.077779994361349 |
35 | 13 | 11.7911285582539 | 1.20887144174614 |
36 | 14 | 10.7226560218813 | 3.27734397811868 |
37 | 15 | 11.3485061486844 | 3.65149385131565 |
38 | 11 | 11.4490643823824 | -0.449064382382375 |
39 | 9 | 11.7663784795068 | -2.76637847950676 |
40 | 8 | 9.39306431394118 | -1.39306431394119 |
41 | 10 | 11.4436382806345 | -1.44363828063453 |
42 | 10 | 9.63058345408183 | 0.369416545918172 |
43 | 10 | 9.69415641148013 | 0.305843588519872 |
44 | 9 | 12.1946343964934 | -3.19463439649340 |
45 | 13 | 11.9875780731289 | 1.01242192687108 |
46 | 8 | 10.7665785975314 | -2.76657859753135 |
47 | 10 | 11.0507769804562 | -1.05077698045622 |
48 | 11 | 10.2419196377122 | 0.758080362287823 |
49 | 10 | 11.1826042179735 | -1.18260421797349 |
50 | 16 | 11.1429149273090 | 4.85708507269105 |
51 | 11 | 12.6015188717802 | -1.60151887178024 |
52 | 6 | 10.472219905425 | -4.47221990542499 |
53 | 9 | 11.4448553542098 | -2.44485535420982 |
54 | 20 | 11.7983635501627 | 8.2016364498373 |
55 | 12 | 11.0117708049917 | 0.988229195008255 |
56 | 9 | 10.3951598271970 | -1.39515982719703 |
57 | 14 | 11.0859735608264 | 2.91402643917356 |
58 | 8 | 11.3444925794816 | -3.34449257948161 |
59 | 7 | 11.9371245131594 | -4.93712451315935 |
60 | 11 | 11.6167589961043 | -0.616758996104273 |
61 | 14 | 14.0751805439643 | -0.0751805439643221 |
62 | 14 | 11.913029947157 | 2.08697005284300 |
63 | 9 | 11.2299013659563 | -2.2299013659563 |
64 | 16 | 10.7409509155000 | 5.25904908449995 |
65 | 13 | 11.4352697947752 | 1.56473020522476 |
66 | 13 | 11.1924780574597 | 1.80752194254028 |
67 | 8 | 11.8343779892329 | -3.83437798923287 |
68 | 9 | 11.4366185295925 | -2.43661852959245 |
69 | 11 | 12.8862909034053 | -1.88629090340527 |
70 | 8 | 10.8575170252417 | -2.85751702524167 |
71 | 7 | 10.1217353773830 | -3.12173537738297 |
72 | 11 | 10.8241589584426 | 0.175841041557429 |
73 | 9 | 13.0950331364795 | -4.09503313647951 |
74 | 16 | 11.4058140461976 | 4.59418595380238 |
75 | 13 | 10.2663944627851 | 2.73360553721488 |
76 | 12 | 12.3160322864701 | -0.316032286470143 |
77 | 9 | 10.0327984600665 | -1.03279846006646 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.095940395864396 | 0.191880791728792 | 0.904059604135604 |
16 | 0.0351689004798988 | 0.0703378009597976 | 0.964831099520101 |
17 | 0.220642977819309 | 0.441285955638617 | 0.779357022180691 |
18 | 0.240576218836068 | 0.481152437672136 | 0.759423781163932 |
19 | 0.519392963888404 | 0.961214072223192 | 0.480607036111596 |
20 | 0.642003763771067 | 0.715992472457866 | 0.357996236228933 |
21 | 0.564147982937138 | 0.871704034125725 | 0.435852017062862 |
22 | 0.482639314276423 | 0.965278628552847 | 0.517360685723577 |
23 | 0.421547656352764 | 0.843095312705528 | 0.578452343647236 |
24 | 0.339895428578835 | 0.67979085715767 | 0.660104571421165 |
25 | 0.443598380760956 | 0.887196761521913 | 0.556401619239044 |
26 | 0.383127540814516 | 0.766255081629032 | 0.616872459185484 |
27 | 0.366968498206375 | 0.733936996412749 | 0.633031501793625 |
28 | 0.308157699406414 | 0.616315398812829 | 0.691842300593586 |
29 | 0.250096885837798 | 0.500193771675596 | 0.749903114162202 |
30 | 0.210119392921976 | 0.420238785843952 | 0.789880607078024 |
31 | 0.196909316202087 | 0.393818632404174 | 0.803090683797913 |
32 | 0.253221944345662 | 0.506443888691324 | 0.746778055654338 |
33 | 0.258875023832403 | 0.517750047664807 | 0.741124976167597 |
34 | 0.215571048458639 | 0.431142096917279 | 0.78442895154136 |
35 | 0.16927503142144 | 0.33855006284288 | 0.83072496857856 |
36 | 0.187230072699170 | 0.374460145398339 | 0.81276992730083 |
37 | 0.226980619687358 | 0.453961239374715 | 0.773019380312643 |
38 | 0.171776083143599 | 0.343552166287198 | 0.828223916856401 |
39 | 0.169957451727388 | 0.339914903454775 | 0.830042548272612 |
40 | 0.128703513159424 | 0.257407026318848 | 0.871296486840576 |
41 | 0.0994995758701581 | 0.198999151740316 | 0.900500424129842 |
42 | 0.450594972415546 | 0.901189944831092 | 0.549405027584454 |
43 | 0.402730670544091 | 0.805461341088182 | 0.597269329455909 |
44 | 0.499121394499576 | 0.998242788999152 | 0.500878605500424 |
45 | 0.463264727270585 | 0.92652945454117 | 0.536735272729415 |
46 | 0.456208696563052 | 0.912417393126103 | 0.543791303436948 |
47 | 0.390474512980431 | 0.780949025960862 | 0.609525487019569 |
48 | 0.321542709497657 | 0.643085418995314 | 0.678457290502343 |
49 | 0.261187648522914 | 0.522375297045827 | 0.738812351477086 |
50 | 0.318917107639883 | 0.637834215279765 | 0.681082892360118 |
51 | 0.359959883420678 | 0.719919766841355 | 0.640040116579322 |
52 | 0.440482540370168 | 0.880965080740336 | 0.559517459629832 |
53 | 0.413418679326572 | 0.826837358653143 | 0.586581320673428 |
54 | 0.497394101280607 | 0.994788202561214 | 0.502605898719393 |
55 | 0.404258698216698 | 0.808517396433397 | 0.595741301783302 |
56 | 0.318583584508345 | 0.637167169016689 | 0.681416415491655 |
57 | 0.282665663811343 | 0.565331327622686 | 0.717334336188657 |
58 | 0.22500949091687 | 0.45001898183374 | 0.77499050908313 |
59 | 0.177370209639068 | 0.354740419278136 | 0.822629790360932 |
60 | 0.108041847192525 | 0.216083694385050 | 0.891958152807475 |
61 | 0.163288773663748 | 0.326577547327497 | 0.836711226336252 |
62 | 0.0883026119414018 | 0.176605223882804 | 0.911697388058598 |
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 | 0.0208333333333333 | OK |