Multiple Linear Regression - Estimated Regression Equation |
ParentalCriticism[t] = + 16.601138887406 -1.41670508965093Month[t] + 0.150238793812559DoubtsActions[t] + 0.440939298378178ParentalExpectations[t] + 0.0298388827345439Standards[t] -0.103111653402745`Organization `[t] + 0.000949138149842271t + 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) | 16.601138887406 | 9.443287 | 1.758 | 0.080763 | 0.040382 |
Month | -1.41670508965093 | 0.948296 | -1.4939 | 0.137262 | 0.068631 |
DoubtsActions | 0.150238793812559 | 0.061372 | 2.448 | 0.015504 | 0.007752 |
ParentalExpectations | 0.440939298378178 | 0.053182 | 8.2911 | 0 | 0 |
Standards | 0.0298388827345439 | 0.045855 | 0.6507 | 0.51621 | 0.258105 |
`Organization ` | -0.103111653402745 | 0.049627 | -2.0777 | 0.039415 | 0.019708 |
t | 0.000949138149842271 | 0.004025 | 0.2358 | 0.813893 | 0.406947 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.630420955153921 |
R-squared | 0.397430580697182 |
Adjusted R-squared | 0.373644945724703 |
F-TEST (value) | 16.7088488979595 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 9.43689570931383e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.14243533599839 |
Sum Squared Residuals | 697.684433678052 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 12 | 8.8406478113907 | 3.15935218860930 |
2 | 8 | 6.96629721753314 | 1.03370278246686 |
3 | 8 | 10.5684164772692 | -2.5684164772692 |
4 | 8 | 8.26221888637267 | -0.262218886372668 |
5 | 9 | 9.04605470784323 | -0.046054707843233 |
6 | 7 | 8.31636489959075 | -1.31636489959075 |
7 | 4 | 6.96163291152608 | -2.96163291152608 |
8 | 11 | 7.46558969163038 | 3.53441030836962 |
9 | 7 | 8.3765271474112 | -1.37652714741119 |
10 | 7 | 7.87724218560636 | -0.877242185606358 |
11 | 12 | 8.66304209769315 | 3.33695790230685 |
12 | 10 | 10.0143009592033 | -0.0143009592032610 |
13 | 10 | 6.67779628566282 | 3.32220371433718 |
14 | 8 | 7.59038175723848 | 0.40961824276152 |
15 | 8 | 7.36912200527653 | 0.630877994723465 |
16 | 4 | 7.58284239077288 | -3.58284239077288 |
17 | 9 | 6.3650485212657 | 2.63495147873431 |
18 | 8 | 7.68381962770494 | 0.316180372295060 |
19 | 7 | 9.33177577716726 | -2.33177577716726 |
20 | 11 | 10.6764431745380 | 0.32355682546202 |
21 | 9 | 8.07888366282857 | 0.921116337171431 |
22 | 11 | 11.3600805713719 | -0.360080571371874 |
23 | 13 | 8.38281154044926 | 4.61718845955074 |
24 | 8 | 7.13513526460915 | 0.86486473539085 |
25 | 8 | 6.67042681815486 | 1.32957318184514 |
26 | 9 | 8.48638003019435 | 0.513619969805654 |
27 | 6 | 8.69724572762584 | -2.69724572762584 |
28 | 9 | 7.63728297261206 | 1.36271702738794 |
29 | 9 | 9.2133560729719 | -0.213356072971898 |
30 | 6 | 7.83180955051812 | -1.83180955051812 |
31 | 6 | 5.69008701675497 | 0.309912983245029 |
32 | 16 | 11.1063197529320 | 4.89368024706796 |
33 | 5 | 11.0642614906392 | -6.06426149063919 |
34 | 7 | 7.3365935314667 | -0.3365935314667 |
35 | 9 | 9.89605238978916 | -0.896052389789164 |
36 | 6 | 7.02495596152595 | -1.02495596152594 |
37 | 6 | 6.65731886148943 | -0.657318861489429 |
38 | 5 | 8.40405215375662 | -3.40405215375662 |
39 | 12 | 10.7779096170053 | 1.22209038299473 |
40 | 7 | 8.05995019421785 | -1.05995019421785 |
41 | 10 | 10.1957144882390 | -0.195714488239030 |
42 | 9 | 8.37365515489804 | 0.626344845101964 |
43 | 8 | 9.2562245955751 | -1.25622459557510 |
44 | 5 | 9.25743202795408 | -4.25743202795408 |
45 | 8 | 6.79282305238195 | 1.20717694761805 |
46 | 8 | 7.14993247332234 | 0.850067526677662 |
47 | 10 | 8.81761098216549 | 1.18238901783451 |
48 | 6 | 7.03160798670806 | -1.03160798670806 |
49 | 8 | 7.64865931900313 | 0.351340680996865 |
50 | 7 | 10.6614834310996 | -3.66148343109959 |
51 | 4 | 5.3026258506591 | -1.30262585065909 |
52 | 8 | 7.27880075529918 | 0.721199244700818 |
53 | 8 | 6.98770319091606 | 1.01229680908394 |
54 | 4 | 4.83020679070682 | -0.830206790706819 |
55 | 20 | 13.1036775146962 | 6.89632248530384 |
56 | 8 | 7.4575108643387 | 0.542489135661306 |
57 | 8 | 7.27364469332544 | 0.726355306674562 |
58 | 6 | 8.31187534215115 | -2.31187534215115 |
59 | 4 | 4.39766291195563 | -0.397662911955634 |
60 | 8 | 9.2447869698316 | -1.24478696983160 |
61 | 9 | 7.27374799344865 | 1.72625200655135 |
62 | 6 | 7.96898687719197 | -1.96898687719197 |
63 | 7 | 8.29890628773413 | -1.29890628773413 |
64 | 9 | 6.21690504303844 | 2.78309495696156 |
65 | 5 | 7.04387293461517 | -2.04387293461517 |
66 | 5 | 5.94946728881653 | -0.949467288816528 |
67 | 8 | 6.73169861809062 | 1.26830138190938 |
68 | 8 | 8.22329452069033 | -0.223294520690335 |
69 | 6 | 6.85122326346855 | -0.851223263468548 |
70 | 8 | 7.17166740877871 | 0.828332591221287 |
71 | 7 | 7.32298001040457 | -0.322980010404573 |
72 | 7 | 6.07807727656424 | 0.92192272343576 |
73 | 9 | 8.59436054118218 | 0.405639458817822 |
74 | 11 | 11.0095397666120 | -0.00953976661196645 |
75 | 6 | 8.63969270541552 | -2.63969270541552 |
76 | 8 | 7.73131494218165 | 0.268685057818353 |
77 | 6 | 8.39155082308347 | -2.39155082308347 |
78 | 9 | 8.66591220812366 | 0.334087791876342 |
79 | 8 | 6.41738476848161 | 1.58261523151839 |
80 | 6 | 8.37237234724173 | -2.37237234724173 |
81 | 10 | 8.30847959981552 | 1.69152040018448 |
82 | 8 | 6.09004038223493 | 1.90995961776507 |
83 | 8 | 8.34642525909655 | -0.346425259096550 |
84 | 10 | 9.04204710673246 | 0.957952893267536 |
85 | 5 | 5.92854636411674 | -0.928546364116737 |
86 | 7 | 9.3454673507971 | -2.34546735079711 |
87 | 5 | 7.17051449965076 | -2.17051449965076 |
88 | 8 | 6.28546530107713 | 1.71453469892287 |
89 | 14 | 9.91364904500649 | 4.08635095499351 |
90 | 7 | 7.65508622807581 | -0.655086228075807 |
91 | 8 | 8.829534178024 | -0.829534178024006 |
92 | 6 | 4.89237614706084 | 1.10762385293916 |
93 | 5 | 6.27913123439787 | -1.27913123439787 |
94 | 6 | 9.23400674288517 | -3.23400674288517 |
95 | 10 | 6.56933943715599 | 3.43066056284401 |
96 | 12 | 11.5612597163829 | 0.438740283617103 |
97 | 9 | 9.15195047208361 | -0.151950472083608 |
98 | 12 | 10.8783870359195 | 1.12161296408053 |
99 | 7 | 7.54322856034637 | -0.543228560346373 |
100 | 8 | 8.34157909749244 | -0.341579097492441 |
101 | 10 | 9.16737793926587 | 0.83262206073413 |
102 | 6 | 7.27543726990533 | -1.27543726990533 |
103 | 10 | 11.2088362340758 | -1.2088362340758 |
104 | 10 | 8.70695834721845 | 1.29304165278155 |
105 | 10 | 7.09396259817717 | 2.90603740182283 |
106 | 5 | 8.44895823576181 | -3.44895823576181 |
107 | 7 | 6.93115088858718 | 0.0688491114128244 |
108 | 10 | 8.64121890522414 | 1.35878109477586 |
109 | 11 | 9.7460873369803 | 1.2539126630197 |
110 | 6 | 8.2153464008538 | -2.2153464008538 |
111 | 7 | 7.49124720019924 | -0.491247200199236 |
112 | 12 | 8.85975079578624 | 3.14024920421376 |
113 | 11 | 6.36560475530708 | 4.63439524469292 |
114 | 11 | 10.8223314553362 | 0.177668544663818 |
115 | 11 | 5.46594559906795 | 5.53405440093205 |
116 | 5 | 7.63024610145471 | -2.63024610145471 |
117 | 8 | 10.2449469104578 | -2.24494691045777 |
118 | 6 | 6.80482294995854 | -0.804822949958538 |
119 | 9 | 9.4462437582705 | -0.446243758270487 |
120 | 4 | 6.7755796691547 | -2.77557966915471 |
121 | 4 | 5.79549010385074 | -1.79549010385074 |
122 | 7 | 8.35125570969704 | -1.35125570969704 |
123 | 11 | 9.61417592770903 | 1.38582407229097 |
124 | 6 | 4.41831358186891 | 1.58168641813109 |
125 | 7 | 7.07416795979127 | -0.0741679597912713 |
126 | 8 | 9.95732271130627 | -1.95732271130626 |
127 | 4 | 6.34770760870298 | -2.34770760870298 |
128 | 8 | 7.09376688533228 | 0.906233114667723 |
129 | 9 | 8.17777847660046 | 0.822221523399537 |
130 | 8 | 7.70917096194147 | 0.290829038058529 |
131 | 11 | 8.80338612376012 | 2.19661387623988 |
132 | 8 | 7.51487235382208 | 0.48512764617792 |
133 | 5 | 6.76819610572183 | -1.76819610572183 |
134 | 4 | 5.89716839983827 | -1.89716839983827 |
135 | 8 | 7.46173525527868 | 0.538264744721324 |
136 | 10 | 11.8424156426398 | -1.84241564263980 |
137 | 6 | 8.3132015214279 | -2.31320152142790 |
138 | 9 | 9.38631050343167 | -0.386310503431667 |
139 | 9 | 7.2111369805229 | 1.7888630194771 |
140 | 13 | 8.92112385109479 | 4.07887614890521 |
141 | 9 | 7.88244442405994 | 1.11755557594006 |
142 | 10 | 9.58269183403904 | 0.417308165960961 |
143 | 20 | 14.8512010241742 | 5.14879897582581 |
144 | 5 | 6.06285773606914 | -1.06285773606914 |
145 | 11 | 10.4386233426502 | 0.561376657349783 |
146 | 6 | 8.15778529610135 | -2.15778529610135 |
147 | 9 | 10.2085791693770 | -1.20857916937699 |
148 | 7 | 7.34142533291684 | -0.341425332916843 |
149 | 9 | 8.1768676331841 | 0.823132366815906 |
150 | 10 | 8.48606382780396 | 1.51393617219604 |
151 | 9 | 6.98676626660848 | 2.01323373339152 |
152 | 8 | 10.2786599686877 | -2.27865996868767 |
153 | 7 | 11.3667477763246 | -4.3667477763246 |
154 | 6 | 9.4351535187033 | -3.4351535187033 |
155 | 13 | 11.7065172211981 | 1.29348277880191 |
156 | 6 | 8.0681076160001 | -2.06810761600011 |
157 | 8 | 7.77823157992087 | 0.221768420079131 |
158 | 10 | 9.53924465910727 | 0.460755340892733 |
159 | 16 | 11.8116962653403 | 4.18830373465973 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.831910067261135 | 0.336179865477729 | 0.168089932738864 |
11 | 0.831306090968018 | 0.337387818063965 | 0.168693909031982 |
12 | 0.832139793477843 | 0.335720413044314 | 0.167860206522157 |
13 | 0.905982798322304 | 0.188034403355391 | 0.0940172016776957 |
14 | 0.87479225985205 | 0.2504154802959 | 0.12520774014795 |
15 | 0.821336011636488 | 0.357327976727024 | 0.178663988363512 |
16 | 0.786155505261463 | 0.427688989477073 | 0.213844494738537 |
17 | 0.772307160993796 | 0.455385678012409 | 0.227692839006204 |
18 | 0.721728047292155 | 0.55654390541569 | 0.278271952707845 |
19 | 0.657443930540386 | 0.685112138919228 | 0.342556069459614 |
20 | 0.586748204770537 | 0.826503590458927 | 0.413251795229463 |
21 | 0.512653025819394 | 0.974693948361211 | 0.487346974180606 |
22 | 0.433083757057529 | 0.866167514115058 | 0.566916242942471 |
23 | 0.66912286861259 | 0.661754262774819 | 0.330877131387409 |
24 | 0.6364729622779 | 0.727054075444201 | 0.363527037722101 |
25 | 0.572192169635247 | 0.855615660729507 | 0.427807830364753 |
26 | 0.507336096561327 | 0.985327806877345 | 0.492663903438673 |
27 | 0.522175379424799 | 0.955649241150402 | 0.477824620575201 |
28 | 0.464840073321386 | 0.929680146642771 | 0.535159926678614 |
29 | 0.399620797286401 | 0.799241594572802 | 0.600379202713599 |
30 | 0.399359729921399 | 0.798719459842799 | 0.6006402700786 |
31 | 0.338261434240252 | 0.676522868480504 | 0.661738565759748 |
32 | 0.58897448658219 | 0.82205102683562 | 0.41102551341781 |
33 | 0.823616269255729 | 0.352767461488542 | 0.176383730744271 |
34 | 0.797314738229094 | 0.405370523541812 | 0.202685261770906 |
35 | 0.755249835789373 | 0.489500328421254 | 0.244750164210627 |
36 | 0.740494643777261 | 0.519010712445478 | 0.259505356222739 |
37 | 0.693065438607915 | 0.61386912278417 | 0.306934561392085 |
38 | 0.837278304334994 | 0.325443391330012 | 0.162721695665006 |
39 | 0.845269432007387 | 0.309461135985225 | 0.154730567992613 |
40 | 0.812714472832781 | 0.374571054334437 | 0.187285527167219 |
41 | 0.774490361927260 | 0.451019276145481 | 0.225509638072740 |
42 | 0.746840266011872 | 0.506319467976255 | 0.253159733988128 |
43 | 0.716611213415592 | 0.566777573168817 | 0.283388786584408 |
44 | 0.78022080689613 | 0.439558386207739 | 0.219779193103869 |
45 | 0.765623968522375 | 0.46875206295525 | 0.234376031477625 |
46 | 0.729209070293384 | 0.541581859413231 | 0.270790929706616 |
47 | 0.696921831421757 | 0.606156337156486 | 0.303078168578243 |
48 | 0.656366316572664 | 0.687267366854673 | 0.343633683427336 |
49 | 0.616003633866088 | 0.767992732267824 | 0.383996366133912 |
50 | 0.663891805849651 | 0.672216388300697 | 0.336108194150349 |
51 | 0.652287333314966 | 0.695425333370068 | 0.347712666685034 |
52 | 0.61801835313445 | 0.7639632937311 | 0.38198164686555 |
53 | 0.58018869677934 | 0.83962260644132 | 0.41981130322066 |
54 | 0.536987532023803 | 0.926024935952394 | 0.463012467976197 |
55 | 0.944951332609293 | 0.110097334781414 | 0.0550486673907069 |
56 | 0.931062678447182 | 0.137874643105635 | 0.0689373215528176 |
57 | 0.916304645783391 | 0.167390708433218 | 0.0836953542166089 |
58 | 0.914971451307935 | 0.170057097384129 | 0.0850285486920645 |
59 | 0.89486433294034 | 0.210271334119321 | 0.105135667059660 |
60 | 0.879358064515612 | 0.241283870968776 | 0.120641935484388 |
61 | 0.873185940177256 | 0.253628119645489 | 0.126814059822744 |
62 | 0.864709694424078 | 0.270580611151844 | 0.135290305575922 |
63 | 0.845459377306958 | 0.309081245386085 | 0.154540622693042 |
64 | 0.867372440841957 | 0.265255118316087 | 0.132627559158044 |
65 | 0.860855840530292 | 0.278288318939415 | 0.139144159469708 |
66 | 0.838493279580811 | 0.323013440838378 | 0.161506720419189 |
67 | 0.821400673531826 | 0.357198652936348 | 0.178599326468174 |
68 | 0.790480848550278 | 0.419038302899444 | 0.209519151449722 |
69 | 0.759480333823619 | 0.481039332352762 | 0.240519666176381 |
70 | 0.7288049028804 | 0.5423901942392 | 0.2711950971196 |
71 | 0.688603590817711 | 0.622792818364578 | 0.311396409182289 |
72 | 0.655110311412555 | 0.68977937717489 | 0.344889688587445 |
73 | 0.613855619406048 | 0.772288761187904 | 0.386144380593952 |
74 | 0.567946047024503 | 0.864107905950994 | 0.432053952975497 |
75 | 0.586429776345993 | 0.827140447308015 | 0.413570223654007 |
76 | 0.541426760640596 | 0.917146478718808 | 0.458573239359404 |
77 | 0.547706391760991 | 0.904587216478018 | 0.452293608239009 |
78 | 0.503135728359786 | 0.993728543280427 | 0.496864271640214 |
79 | 0.480728201116366 | 0.961456402232733 | 0.519271798883634 |
80 | 0.48832122472992 | 0.97664244945984 | 0.51167877527008 |
81 | 0.469641431476857 | 0.939282862953715 | 0.530358568523142 |
82 | 0.45884466121306 | 0.91768932242612 | 0.54115533878694 |
83 | 0.413113229828574 | 0.826226459657147 | 0.586886770171426 |
84 | 0.378329738353452 | 0.756659476706904 | 0.621670261646548 |
85 | 0.342796945969138 | 0.685593891938276 | 0.657203054030862 |
86 | 0.347797507577829 | 0.695595015155658 | 0.652202492422171 |
87 | 0.352750511087353 | 0.705501022174706 | 0.647249488912647 |
88 | 0.332637344238746 | 0.665274688477492 | 0.667362655761254 |
89 | 0.446613281462112 | 0.893226562924225 | 0.553386718537888 |
90 | 0.403276758574349 | 0.806553517148698 | 0.596723241425651 |
91 | 0.363461349891206 | 0.726922699782413 | 0.636538650108794 |
92 | 0.330894023603386 | 0.661788047206772 | 0.669105976396614 |
93 | 0.301330686938495 | 0.602661373876991 | 0.698669313061505 |
94 | 0.35247420459394 | 0.70494840918788 | 0.64752579540606 |
95 | 0.417395204629504 | 0.834790409259008 | 0.582604795370496 |
96 | 0.375162050724342 | 0.750324101448684 | 0.624837949275658 |
97 | 0.330370778522082 | 0.660741557044164 | 0.669629221477918 |
98 | 0.299019522442374 | 0.598039044884747 | 0.700980477557626 |
99 | 0.259897677495876 | 0.519795354991751 | 0.740102322504125 |
100 | 0.222645725104875 | 0.445291450209749 | 0.777354274895125 |
101 | 0.192950624295937 | 0.385901248591874 | 0.807049375704063 |
102 | 0.170923262407725 | 0.341846524815449 | 0.829076737592275 |
103 | 0.152791359743201 | 0.305582719486403 | 0.847208640256799 |
104 | 0.133322357299393 | 0.266644714598786 | 0.866677642700607 |
105 | 0.161763853658237 | 0.323527707316474 | 0.838236146341763 |
106 | 0.207774927670788 | 0.415549855341576 | 0.792225072329212 |
107 | 0.175545563228339 | 0.351091126456678 | 0.82445443677166 |
108 | 0.156077429518101 | 0.312154859036203 | 0.843922570481899 |
109 | 0.136387527481929 | 0.272775054963859 | 0.86361247251807 |
110 | 0.133862532654805 | 0.26772506530961 | 0.866137467345195 |
111 | 0.109776908604995 | 0.219553817209990 | 0.890223091395005 |
112 | 0.144199514342541 | 0.288399028685083 | 0.855800485657459 |
113 | 0.271050959066605 | 0.542101918133211 | 0.728949040933395 |
114 | 0.231577524464518 | 0.463155048929036 | 0.768422475535482 |
115 | 0.585287614101031 | 0.829424771797938 | 0.414712385898969 |
116 | 0.57409785288531 | 0.85180429422938 | 0.42590214711469 |
117 | 0.570648370020571 | 0.858703259958859 | 0.429351629979429 |
118 | 0.51980993355304 | 0.96038013289392 | 0.48019006644696 |
119 | 0.464720289969902 | 0.929440579939805 | 0.535279710030098 |
120 | 0.551503822493342 | 0.896992355013316 | 0.448496177506658 |
121 | 0.522527800232345 | 0.954944399535311 | 0.477472199767655 |
122 | 0.537047087661633 | 0.925905824676733 | 0.462952912338367 |
123 | 0.488801319895305 | 0.97760263979061 | 0.511198680104695 |
124 | 0.497346814413719 | 0.994693628827438 | 0.502653185586281 |
125 | 0.438777000174339 | 0.877554000348677 | 0.561222999825661 |
126 | 0.443977397344226 | 0.887954794688452 | 0.556022602655774 |
127 | 0.434071417352019 | 0.868142834704038 | 0.565928582647981 |
128 | 0.397735441273798 | 0.795470882547595 | 0.602264558726202 |
129 | 0.35664630810253 | 0.71329261620506 | 0.64335369189747 |
130 | 0.308346182184952 | 0.616692364369904 | 0.691653817815048 |
131 | 0.299021869892456 | 0.598043739784912 | 0.700978130107544 |
132 | 0.247113544556771 | 0.494227089113542 | 0.752886455443229 |
133 | 0.203676810053944 | 0.407353620107888 | 0.796323189946056 |
134 | 0.171957287465722 | 0.343914574931444 | 0.828042712534278 |
135 | 0.134942577184651 | 0.269885154369302 | 0.865057422815349 |
136 | 0.127662529011725 | 0.255325058023449 | 0.872337470988276 |
137 | 0.168974002130001 | 0.337948004260003 | 0.831025997869999 |
138 | 0.175454423186929 | 0.350908846373858 | 0.82454557681307 |
139 | 0.156449812570418 | 0.312899625140837 | 0.843550187429582 |
140 | 0.188128559189593 | 0.376257118379185 | 0.811871440810407 |
141 | 0.138596567420454 | 0.277193134840908 | 0.861403432579546 |
142 | 0.10448783273871 | 0.20897566547742 | 0.89551216726129 |
143 | 0.168616912170835 | 0.33723382434167 | 0.831383087829165 |
144 | 0.118995963353294 | 0.237991926706588 | 0.881004036646706 |
145 | 0.0914086132633148 | 0.182817226526630 | 0.908591386736685 |
146 | 0.0578852639306328 | 0.115770527861266 | 0.942114736069367 |
147 | 0.033795603200056 | 0.067591206400112 | 0.966204396799944 |
148 | 0.0167448987067478 | 0.0334897974134957 | 0.983255101293252 |
149 | 0.0073729823901137 | 0.0147459647802274 | 0.992627017609886 |
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 | 2 | 0.0142857142857143 | OK |
10% type I error level | 3 | 0.0214285714285714 | OK |