Multiple Linear Regression - Estimated Regression Equation |
ParentalCriticism[t] = + 16.0234048905969 -1.34666003590030Month[t] + 0.150828087380878DoubtsActions[t] + 0.441218810283992ParentalExpectations[t] + 0.0296860262939057Standards[t] -0.105384926748471`Organization `[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) | 16.0234048905969 | 9.091759 | 1.7624 | 0.079997 | 0.039998 |
Month | -1.34666003590030 | 0.897792 | -1.5 | 0.135683 | 0.067841 |
DoubtsActions | 0.150828087380878 | 0.061132 | 2.4673 | 0.014718 | 0.007359 |
ParentalExpectations | 0.441218810283992 | 0.053005 | 8.3241 | 0 | 0 |
Standards | 0.0296860262939057 | 0.045709 | 0.6495 | 0.517016 | 0.258508 |
`Organization ` | -0.105384926748471 | 0.048531 | -2.1715 | 0.031435 | 0.015717 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.630246087960682 |
R-squared | 0.397210131389744 |
Adjusted R-squared | 0.377511116075683 |
F-TEST (value) | 20.1639587084449 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 153 |
p-value | 1.99840144432528e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.13581302072108 |
Sum Squared Residuals | 697.939680700698 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 12 | 8.8409212395438 | 3.15907876045619 |
2 | 8 | 6.96940254280453 | 1.03059745719547 |
3 | 8 | 10.5651104867126 | -2.56511048671264 |
4 | 8 | 8.26577090327395 | -0.265770903273949 |
5 | 9 | 9.05549396019402 | -0.0554939601940226 |
6 | 7 | 8.30330086747107 | -1.30330086747107 |
7 | 4 | 7.02601980716237 | -3.02601980716237 |
8 | 11 | 7.53901554894932 | 3.46098445105068 |
9 | 7 | 8.4508737116258 | -1.45087371162580 |
10 | 7 | 7.94054140993561 | -0.940541409935612 |
11 | 12 | 8.72942926914202 | 3.27057073085798 |
12 | 10 | 10.0933483628200 | -0.0933483628199535 |
13 | 10 | 6.74365814970697 | 3.25634185029303 |
14 | 8 | 7.6731322024797 | 0.326867797520302 |
15 | 8 | 7.43363062220085 | 0.566369377799147 |
16 | 4 | 7.62914379635547 | -3.62914379635547 |
17 | 9 | 6.43062065407415 | 2.56937934592585 |
18 | 8 | 7.76782139089778 | 0.232178609102220 |
19 | 7 | 9.38800334197132 | -2.38800334197132 |
20 | 11 | 10.7441975995444 | 0.255802400455617 |
21 | 9 | 8.14232789847284 | 0.857672101527163 |
22 | 11 | 11.4277005320023 | -0.42770053200232 |
23 | 13 | 8.44227169986392 | 4.55772830013608 |
24 | 8 | 7.1910810158415 | 0.808918984158504 |
25 | 8 | 6.71226298282831 | 1.28773701717169 |
26 | 9 | 8.53525174769724 | 0.464748252302757 |
27 | 6 | 8.74545188766593 | -2.74545188766593 |
28 | 9 | 7.68489810933452 | 1.31510189066548 |
29 | 9 | 9.26236959840449 | -0.262369598404491 |
30 | 6 | 7.8793411149647 | -1.87934111496470 |
31 | 6 | 5.7220424796005 | 0.277957520399497 |
32 | 16 | 11.1545909564780 | 4.84540904352204 |
33 | 5 | 11.1218181589461 | -6.12181815894612 |
34 | 7 | 7.37338462674195 | -0.373384626741947 |
35 | 9 | 9.94404428847933 | -0.944044288479331 |
36 | 6 | 7.06190988930681 | -1.06190988930681 |
37 | 6 | 6.6996231331024 | -0.699623133102397 |
38 | 5 | 8.4508737116258 | -3.4508737116258 |
39 | 12 | 10.8214205130392 | 1.17857948696080 |
40 | 7 | 8.09840875088068 | -1.09840875088069 |
41 | 10 | 10.2206252212254 | -0.220625221225379 |
42 | 9 | 8.40961800413041 | 0.590381995869588 |
43 | 8 | 9.30742817305315 | -1.30742817305315 |
44 | 5 | 9.2920556246984 | -4.2920556246984 |
45 | 8 | 6.82525687666923 | 1.17474312333077 |
46 | 8 | 7.1792458504546 | 0.8207541495454 |
47 | 10 | 8.850571330229 | 1.14942866977101 |
48 | 6 | 7.06008164692371 | -1.06008164692371 |
49 | 8 | 7.6780084709433 | 0.321991529056693 |
50 | 7 | 10.6981847253837 | -3.69818472538372 |
51 | 4 | 5.32968834390435 | -1.32968834390435 |
52 | 8 | 7.30305135163833 | 0.696948648361666 |
53 | 8 | 7.00265370573142 | 0.997346294268578 |
54 | 4 | 4.86821748401608 | -0.868217484016083 |
55 | 20 | 13.1355629313044 | 6.8644370686956 |
56 | 8 | 7.46849714630121 | 0.531502853698792 |
57 | 8 | 7.28615479024333 | 0.713845209756673 |
58 | 6 | 8.3344888172041 | -2.3344888172041 |
59 | 4 | 4.40344744475664 | -0.403447444756638 |
60 | 8 | 9.28451591613803 | -1.28451591613803 |
61 | 9 | 7.28672450377158 | 1.71327549622842 |
62 | 6 | 7.98415632818492 | -1.98415632818492 |
63 | 7 | 8.30549160623679 | -1.30549160623679 |
64 | 9 | 6.2305465389076 | 2.76945346109240 |
65 | 5 | 7.05867350289588 | -2.05867350289588 |
66 | 5 | 5.94560179799634 | -0.945601797996344 |
67 | 8 | 6.74069048026737 | 1.25930951973263 |
68 | 8 | 8.23854109993117 | -0.238541099931174 |
69 | 6 | 6.85916910125758 | -0.85916910125758 |
70 | 8 | 7.17684789454325 | 0.82315210545675 |
71 | 7 | 7.3333070914605 | -0.333307091460493 |
72 | 7 | 6.08477984753483 | 0.91522015246517 |
73 | 9 | 8.5940540867568 | 0.405945913243198 |
74 | 11 | 11.0200897169638 | -0.0200897169638392 |
75 | 6 | 8.64006696091746 | -2.64006696091746 |
76 | 8 | 7.74034819297072 | 0.259651807029279 |
77 | 6 | 8.39302567207825 | -2.39302567207825 |
78 | 9 | 8.66765926064286 | 0.332340739357141 |
79 | 8 | 6.40554541205844 | 1.59445458794156 |
80 | 6 | 8.37544029535665 | -2.37544029535665 |
81 | 10 | 8.30099992375693 | 1.69900007624307 |
82 | 8 | 6.07983432053914 | 1.92016567946086 |
83 | 8 | 8.34815222497409 | -0.348152224974092 |
84 | 10 | 9.03584261056905 | 0.964157389430953 |
85 | 5 | 5.91678971457353 | -0.916789714573533 |
86 | 7 | 9.33989674124215 | -2.33989674124215 |
87 | 5 | 7.16109076020475 | -2.16109076020475 |
88 | 8 | 6.2659827765362 | 1.73401722346379 |
89 | 14 | 9.90929686617731 | 4.09070313382269 |
90 | 7 | 7.651290114089 | -0.651290114089004 |
91 | 8 | 8.82088530393509 | -0.820885303935087 |
92 | 6 | 4.87549170839104 | 1.12450829160896 |
93 | 5 | 6.26769191712096 | -1.26769191712096 |
94 | 6 | 9.22876160315898 | -3.22876160315898 |
95 | 10 | 6.54567776110893 | 3.45432223889107 |
96 | 12 | 11.5406251673112 | 0.459374832688838 |
97 | 9 | 9.135900657124 | -0.135900657123995 |
98 | 12 | 10.8698313431112 | 1.13016865688879 |
99 | 7 | 7.53014805300203 | -0.530148053002031 |
100 | 8 | 8.33296480416384 | -0.332964804163844 |
101 | 10 | 9.15306270270441 | 0.846937297295586 |
102 | 6 | 7.25817790453418 | -1.25817790453418 |
103 | 10 | 11.2049764113201 | -1.20497641132014 |
104 | 10 | 8.68664954860638 | 1.31335045139363 |
105 | 10 | 7.05936231822247 | 2.94063768177753 |
106 | 5 | 8.44569321381935 | -3.44569321381935 |
107 | 7 | 6.91842205204705 | 0.0815779479529461 |
108 | 10 | 8.63336245007076 | 1.36663754992924 |
109 | 11 | 9.72668902593402 | 1.27331097406598 |
110 | 6 | 8.1952304110247 | -2.19523041102471 |
111 | 7 | 7.47134571394247 | -0.471345713942473 |
112 | 12 | 8.8280404265117 | 3.17195957348829 |
113 | 11 | 6.33916461928108 | 4.66083538071892 |
114 | 11 | 10.8020068939345 | 0.197993106065491 |
115 | 11 | 5.42856498545945 | 5.57143501454055 |
116 | 5 | 7.59344207454145 | -2.59344207454145 |
117 | 8 | 10.229254513576 | -2.22925451357600 |
118 | 6 | 6.77828970299657 | -0.778289702996566 |
119 | 9 | 9.4105342456886 | -0.410534245688608 |
120 | 4 | 6.76157826914606 | -2.76157826914606 |
121 | 4 | 5.7578134599466 | -1.75781345994660 |
122 | 7 | 8.32904283521224 | -1.32904283521224 |
123 | 11 | 9.58529814802869 | 1.41470185197131 |
124 | 6 | 4.36983944951113 | 1.63016055048887 |
125 | 7 | 7.03252809235574 | -0.0325280923557444 |
126 | 8 | 9.91618650456852 | -1.91618650456852 |
127 | 4 | 6.29947166998338 | -2.29947166998338 |
128 | 8 | 7.04177694150087 | 0.958223058499127 |
129 | 9 | 8.12554720609025 | 0.874452793909746 |
130 | 8 | 7.65901818297979 | 0.340981817020209 |
131 | 11 | 8.76729397605663 | 2.23270602394337 |
132 | 8 | 7.47077600041422 | 0.52922399958578 |
133 | 5 | 6.71043474044521 | -1.71043474044521 |
134 | 4 | 5.84489368127223 | -1.84489368127223 |
135 | 8 | 7.41083423429816 | 0.589165765701845 |
136 | 10 | 11.7953141684003 | -1.79531416840026 |
137 | 6 | 8.26853135556792 | -2.26853135556792 |
138 | 9 | 9.35598861829815 | -0.355988618298145 |
139 | 9 | 7.15222326425746 | 1.84777673574254 |
140 | 13 | 8.884514068192 | 4.11548593180800 |
141 | 9 | 7.84675667776327 | 1.15324332223673 |
142 | 10 | 9.52745010848113 | 0.472549891518867 |
143 | 20 | 14.8272064864292 | 5.17279351357077 |
144 | 5 | 6.00192582450364 | -1.00192582450364 |
145 | 11 | 10.3825996586666 | 0.617400341333438 |
146 | 6 | 8.09574531078392 | -2.09574531078392 |
147 | 9 | 10.1548141419763 | -1.15481414197627 |
148 | 7 | 7.28337224834823 | -0.283372248348227 |
149 | 9 | 8.13573925663856 | 0.864260743361444 |
150 | 10 | 8.42651456552542 | 1.57348543447458 |
151 | 9 | 6.91937635155906 | 2.08062364844094 |
152 | 8 | 10.2127812833222 | -2.21278128332217 |
153 | 7 | 11.2862403955649 | -4.28624039556491 |
154 | 6 | 9.39073604060016 | -3.39073604060016 |
155 | 13 | 11.6450557945476 | 1.35494420545237 |
156 | 6 | 8.00105288957993 | -2.00105288957993 |
157 | 8 | 7.70503105714045 | 0.294968942859549 |
158 | 10 | 9.47047601180467 | 0.529523988195328 |
159 | 16 | 11.7501752371107 | 4.24982476288931 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.838660336634167 | 0.322679326731665 | 0.161339663365833 |
10 | 0.755482639227783 | 0.489034721544435 | 0.244517360772217 |
11 | 0.872884455995811 | 0.254231088008377 | 0.127115544004189 |
12 | 0.809493174959121 | 0.381013650081757 | 0.190506825040879 |
13 | 0.860527729043807 | 0.278944541912386 | 0.139472270956193 |
14 | 0.826912778936805 | 0.346174442126389 | 0.173087221063195 |
15 | 0.757820985231337 | 0.484358029537325 | 0.242179014768663 |
16 | 0.732075055417961 | 0.535849889164078 | 0.267924944582039 |
17 | 0.707583242897783 | 0.584833514204435 | 0.292416757102217 |
18 | 0.652904217213741 | 0.694191565572519 | 0.347095782786259 |
19 | 0.589664517261401 | 0.820670965477197 | 0.410335482738598 |
20 | 0.516748600779182 | 0.966502798441635 | 0.483251399220818 |
21 | 0.442878836896695 | 0.88575767379339 | 0.557121163103305 |
22 | 0.367622075907676 | 0.735244151815352 | 0.632377924092324 |
23 | 0.642988920961456 | 0.714022158077089 | 0.357011079038544 |
24 | 0.584468611850128 | 0.831062776299744 | 0.415531388149872 |
25 | 0.524192716277863 | 0.951614567444274 | 0.475807283722137 |
26 | 0.472385892524495 | 0.94477178504899 | 0.527614107475505 |
27 | 0.467397122326794 | 0.934794244653588 | 0.532602877673206 |
28 | 0.415919016167661 | 0.831838032335322 | 0.584080983832339 |
29 | 0.358842450306076 | 0.717684900612152 | 0.641157549693924 |
30 | 0.34620224669391 | 0.69240449338782 | 0.65379775330609 |
31 | 0.288884007296493 | 0.577768014592985 | 0.711115992703507 |
32 | 0.565924206096075 | 0.868151587807851 | 0.434075793903925 |
33 | 0.792881527152358 | 0.414236945695284 | 0.207118472847642 |
34 | 0.77020885097235 | 0.459582298055299 | 0.229791149027649 |
35 | 0.729645890137307 | 0.540708219725385 | 0.270354109862693 |
36 | 0.707977812194524 | 0.584044375610951 | 0.292022187805476 |
37 | 0.659078818052058 | 0.681842363895884 | 0.340921181947942 |
38 | 0.829119560624818 | 0.341760878750364 | 0.170880439375182 |
39 | 0.829236589387132 | 0.341526821225736 | 0.170763410612868 |
40 | 0.797103654290828 | 0.405792691418344 | 0.202896345709172 |
41 | 0.756978663040018 | 0.486042673919965 | 0.243021336959982 |
42 | 0.723374285682075 | 0.55325142863585 | 0.276625714317925 |
43 | 0.705275588496476 | 0.589448823007048 | 0.294724411503524 |
44 | 0.791481581581273 | 0.417036836837454 | 0.208518418418727 |
45 | 0.765756518651034 | 0.468486962697932 | 0.234243481348966 |
46 | 0.726625123082934 | 0.546749753834133 | 0.273374876917066 |
47 | 0.689235283299234 | 0.621529433401531 | 0.310764716700766 |
48 | 0.652414778948331 | 0.695170442103338 | 0.347585221051669 |
49 | 0.60714511245038 | 0.78570977509924 | 0.39285488754962 |
50 | 0.672229510082408 | 0.655540979835184 | 0.327770489917592 |
51 | 0.678918679773628 | 0.642162640452744 | 0.321081320226372 |
52 | 0.636047465388116 | 0.727905069223768 | 0.363952534611884 |
53 | 0.59340354800088 | 0.81319290399824 | 0.40659645199912 |
54 | 0.565567717995443 | 0.868864564009115 | 0.434432282004557 |
55 | 0.940005193721248 | 0.119989612557504 | 0.0599948062787521 |
56 | 0.924889634975787 | 0.150220730048426 | 0.0751103650242132 |
57 | 0.908809497526439 | 0.182381004947122 | 0.091190502473561 |
58 | 0.91006007479179 | 0.179879850416421 | 0.0899399252082107 |
59 | 0.889555172628284 | 0.220889654743432 | 0.110444827371716 |
60 | 0.877391582106027 | 0.245216835787947 | 0.122608417893973 |
61 | 0.868104156429424 | 0.263791687141152 | 0.131895843570576 |
62 | 0.863140674429674 | 0.273718651140653 | 0.136859325570326 |
63 | 0.846682696757365 | 0.306634606485271 | 0.153317303242635 |
64 | 0.863500618133283 | 0.272998763733434 | 0.136499381866717 |
65 | 0.861290621260115 | 0.27741875747977 | 0.138709378739885 |
66 | 0.840095530109311 | 0.319808939781377 | 0.159904469890689 |
67 | 0.820282379816496 | 0.359435240367008 | 0.179717620183504 |
68 | 0.789311084007848 | 0.421377831984304 | 0.210688915992152 |
69 | 0.760697635885933 | 0.478604728228134 | 0.239302364114067 |
70 | 0.728230393935207 | 0.543539212129586 | 0.271769606064793 |
71 | 0.688801366502435 | 0.622397266995131 | 0.311198633497565 |
72 | 0.653459989325123 | 0.693080021349753 | 0.346540010674877 |
73 | 0.611427129806118 | 0.777145740387764 | 0.388572870193882 |
74 | 0.565766916032882 | 0.868466167934236 | 0.434233083967118 |
75 | 0.590020058412148 | 0.819959883175703 | 0.409979941587852 |
76 | 0.544463854718121 | 0.911072290563757 | 0.455536145281879 |
77 | 0.556934710068578 | 0.886130579862843 | 0.443065289931422 |
78 | 0.511249969936869 | 0.977500060126261 | 0.488750030063131 |
79 | 0.486476188990789 | 0.972952377981577 | 0.513523811009211 |
80 | 0.497384534987735 | 0.99476906997547 | 0.502615465012265 |
81 | 0.476461968417484 | 0.952923936834968 | 0.523538031582516 |
82 | 0.463708826004922 | 0.927417652009844 | 0.536291173995078 |
83 | 0.418860649520733 | 0.837721299041465 | 0.581139350479267 |
84 | 0.382566175414923 | 0.765132350829847 | 0.617433824585077 |
85 | 0.348467274054649 | 0.696934548109297 | 0.651532725945351 |
86 | 0.356501585089814 | 0.713003170179628 | 0.643498414910186 |
87 | 0.36085832498307 | 0.72171664996614 | 0.63914167501693 |
88 | 0.340972531362385 | 0.68194506272477 | 0.659027468637615 |
89 | 0.453417929316626 | 0.906835858633251 | 0.546582070683374 |
90 | 0.410839666822008 | 0.821679333644015 | 0.589160333177992 |
91 | 0.372006840075324 | 0.744013680150648 | 0.627993159924676 |
92 | 0.338713815028698 | 0.677427630057396 | 0.661286184971302 |
93 | 0.309993232463082 | 0.619986464926164 | 0.690006767536918 |
94 | 0.362091956250047 | 0.724183912500095 | 0.637908043749953 |
95 | 0.42923944513204 | 0.85847889026408 | 0.57076055486796 |
96 | 0.385480204064634 | 0.770960408129268 | 0.614519795935366 |
97 | 0.340658328262293 | 0.681316656524586 | 0.659341671737707 |
98 | 0.309314223345479 | 0.618628446690958 | 0.690685776654521 |
99 | 0.269881740413003 | 0.539763480826007 | 0.730118259586997 |
100 | 0.231925027644654 | 0.463850055289309 | 0.768074972355346 |
101 | 0.201591045346707 | 0.403182090693413 | 0.798408954653293 |
102 | 0.178958652271175 | 0.357917304542349 | 0.821041347728826 |
103 | 0.158482858435882 | 0.316965716871764 | 0.841517141564118 |
104 | 0.139585463528294 | 0.279170927056589 | 0.860414536471706 |
105 | 0.171041463122252 | 0.342082926244504 | 0.828958536877748 |
106 | 0.218911912064528 | 0.437823824129057 | 0.781088087935472 |
107 | 0.185010778274116 | 0.370021556548231 | 0.814989221725884 |
108 | 0.165287930581554 | 0.330575861163108 | 0.834712069418446 |
109 | 0.146107543496278 | 0.292215086992557 | 0.853892456503722 |
110 | 0.141777780787293 | 0.283555561574585 | 0.858222219212707 |
111 | 0.116112433298432 | 0.232224866596864 | 0.883887566701568 |
112 | 0.155957901488322 | 0.311915802976644 | 0.844042098511678 |
113 | 0.286130847646506 | 0.572261695293013 | 0.713869152353494 |
114 | 0.248102017369415 | 0.49620403473883 | 0.751897982630585 |
115 | 0.593853576475726 | 0.812292847048547 | 0.406146423524274 |
116 | 0.590831988988102 | 0.818336022023795 | 0.409168011011898 |
117 | 0.599834664948913 | 0.800330670102175 | 0.400165335051087 |
118 | 0.550593704439669 | 0.898812591120662 | 0.449406295560331 |
119 | 0.49642168830235 | 0.9928433766047 | 0.50357831169765 |
120 | 0.582027939694749 | 0.835944120610503 | 0.417972060305251 |
121 | 0.550291634172907 | 0.899416731654185 | 0.449708365827093 |
122 | 0.547966236574179 | 0.904067526851643 | 0.452033763425821 |
123 | 0.508060687744051 | 0.983878624511899 | 0.491939312255949 |
124 | 0.52768559945417 | 0.94462880109166 | 0.47231440054583 |
125 | 0.468468019297094 | 0.936936038594188 | 0.531531980702906 |
126 | 0.453220183536115 | 0.90644036707223 | 0.546779816463885 |
127 | 0.429228502784117 | 0.858457005568234 | 0.570771497215883 |
128 | 0.411370383172973 | 0.822740766345947 | 0.588629616827027 |
129 | 0.385322649388436 | 0.770645298776872 | 0.614677350611564 |
130 | 0.343051148638562 | 0.686102297277125 | 0.656948851361438 |
131 | 0.340517097041328 | 0.681034194082657 | 0.659482902958672 |
132 | 0.286380651697515 | 0.572761303395029 | 0.713619348302485 |
133 | 0.239619196427524 | 0.479238392855047 | 0.760380803572476 |
134 | 0.204602210843068 | 0.409204421686135 | 0.795397789156932 |
135 | 0.164617589650523 | 0.329235179301046 | 0.835382410349477 |
136 | 0.152030053794104 | 0.304060107588207 | 0.847969946205896 |
137 | 0.163100196449602 | 0.326200392899205 | 0.836899803550398 |
138 | 0.147351756940228 | 0.294703513880456 | 0.852648243059772 |
139 | 0.182073900425255 | 0.364147800850511 | 0.817926099574745 |
140 | 0.231895279034719 | 0.463790558069439 | 0.76810472096528 |
141 | 0.176992280601213 | 0.353984561202426 | 0.823007719398787 |
142 | 0.140774895620776 | 0.281549791241552 | 0.859225104379224 |
143 | 0.212972168907178 | 0.425944337814356 | 0.787027831092822 |
144 | 0.161709529022066 | 0.323419058044131 | 0.838290470977934 |
145 | 0.116398567880763 | 0.232797135761526 | 0.883601432119237 |
146 | 0.0850317124533807 | 0.170063424906761 | 0.91496828754662 |
147 | 0.0513979929105728 | 0.102795985821146 | 0.948602007089427 |
148 | 0.0279705012082839 | 0.0559410024165678 | 0.972029498791716 |
149 | 0.0159589872335166 | 0.0319179744670332 | 0.984041012766483 |
150 | 0.00844095093437735 | 0.0168819018687547 | 0.991559049065623 |
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 | 0.0140845070422535 | OK |
10% type I error level | 3 | 0.0211267605633803 | OK |