Multiple Linear Regression - Estimated Regression Equation |
ParentalExpectations[t] = + 6.4398361021299 + 0.752008775996732ParentalCriticism[t] + 0.00286466829855502t + 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) | 6.4398361021299 | 0.788598 | 8.1662 | 0 | 0 |
ParentalCriticism | 0.752008775996732 | 0.082102 | 9.1594 | 0 | 0 |
t | 0.00286466829855502 | 0.004827 | 0.5935 | 0.553736 | 0.276868 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.594441332727225 |
R-squared | 0.353360498054519 |
Adjusted R-squared | 0.345070248029577 |
F-TEST (value) | 42.6236237738787 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 156 |
p-value | 1.66533453693773e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.78835056709640 |
Sum Squared Residuals | 1212.88422606418 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 15.4668060823893 | -4.46680608238925 |
2 | 7 | 12.4616356467009 | -5.46163564670087 |
3 | 17 | 12.4645003149994 | 4.53549968500058 |
4 | 10 | 12.4673649832980 | -2.46736498329798 |
5 | 12 | 13.2222384275933 | -1.22223842759327 |
6 | 12 | 11.7210855438984 | 0.278914456101642 |
7 | 11 | 9.46792388420672 | 1.53207611579328 |
8 | 11 | 14.7348499844824 | -3.73484998448239 |
9 | 12 | 11.7296795487940 | 0.270320451205977 |
10 | 13 | 11.7325442170926 | 1.26745578290742 |
11 | 14 | 15.4954527653748 | -1.49545276537479 |
12 | 16 | 13.9942998816799 | 2.00570011832012 |
13 | 11 | 13.9971645499784 | -2.99716454997844 |
14 | 10 | 12.4960116662835 | -2.49601166628353 |
15 | 11 | 12.4988763345821 | -1.49887633458209 |
16 | 15 | 9.49370589889371 | 5.50629410110629 |
17 | 9 | 13.2566144471759 | -4.25661444717593 |
18 | 11 | 12.5074703394778 | -1.50747033947775 |
19 | 17 | 11.7583262317796 | 5.24167376822043 |
20 | 17 | 14.7692260040651 | 2.23077399593495 |
21 | 11 | 13.2680731203701 | -2.26807312037015 |
22 | 18 | 14.7749553406622 | 3.22504465933784 |
23 | 14 | 16.2818375609542 | -2.28183756095418 |
24 | 10 | 12.5246583492691 | -2.52465834926908 |
25 | 11 | 12.5275230175676 | -1.52752301756764 |
26 | 15 | 13.2823964618629 | 1.71760353813708 |
27 | 15 | 11.0292348021713 | 3.97076519782872 |
28 | 13 | 13.2881257984600 | -0.288125798460032 |
29 | 16 | 13.2909904667586 | 2.70900953324141 |
30 | 13 | 11.0378288070669 | 1.96217119293305 |
31 | 9 | 11.0406934753655 | -2.04069347536550 |
32 | 18 | 18.5636459036314 | -0.563645903631373 |
33 | 18 | 10.2944140359659 | 7.70558596403412 |
34 | 12 | 11.8012962562579 | 0.198703743742101 |
35 | 17 | 13.3081784765499 | 3.69182152345008 |
36 | 9 | 11.0550168168583 | -2.05501681685828 |
37 | 9 | 11.0578814851568 | -2.05788148515683 |
38 | 12 | 10.3087373774587 | 1.69126262254134 |
39 | 18 | 15.5756634777343 | 2.42433652226567 |
40 | 12 | 11.8184842660492 | 0.181515733950771 |
41 | 18 | 14.0773752623380 | 3.92262473766202 |
42 | 14 | 13.3282311546398 | 0.671768845360198 |
43 | 15 | 12.5790870469416 | 2.42091295305837 |
44 | 16 | 10.3259253872500 | 5.67407461275001 |
45 | 10 | 12.5848163835387 | -2.58481638353874 |
46 | 11 | 12.5876810518373 | -1.58768105183729 |
47 | 14 | 14.0945632721293 | -0.0945632721293087 |
48 | 9 | 11.0893928364409 | -2.08939283644094 |
49 | 12 | 12.5962750567330 | -0.596275056732956 |
50 | 17 | 11.8471309490348 | 5.15286905096522 |
51 | 5 | 9.59396928934314 | -4.59396928934314 |
52 | 12 | 12.6048690616286 | -0.604869061628621 |
53 | 12 | 12.6077337299272 | -0.607733729927176 |
54 | 6 | 9.6025632942388 | -3.60256329423881 |
55 | 24 | 21.6375683784851 | 2.36243162151494 |
56 | 12 | 12.6163277348228 | -0.616327734822841 |
57 | 12 | 12.6191924031214 | -0.619192403121396 |
58 | 14 | 11.1180395194265 | 2.88196048057351 |
59 | 7 | 9.61688663573158 | -2.61688663573158 |
60 | 13 | 12.6277864080171 | 0.372213591982939 |
61 | 12 | 13.3826598523123 | -1.38265985231235 |
62 | 13 | 11.1294981926207 | 1.87050180737929 |
63 | 14 | 11.884371636916 | 2.11562836308401 |
64 | 8 | 13.3912538572080 | -5.39125385720801 |
65 | 11 | 10.3860834215196 | 0.613916578480359 |
66 | 9 | 10.3889480898182 | -1.38894808981820 |
67 | 11 | 12.6478390861069 | -1.64783908610695 |
68 | 13 | 12.6507037544055 | 0.349296245594499 |
69 | 10 | 11.1495508707106 | -1.14955087071059 |
70 | 11 | 12.6564330910026 | -1.65643309100261 |
71 | 12 | 11.9072889833044 | 0.0927110166955656 |
72 | 9 | 11.910153651603 | -2.91015365160299 |
73 | 15 | 13.417035871895 | 1.58296412810499 |
74 | 18 | 14.9239180921870 | 3.07608190781297 |
75 | 15 | 11.1667388805019 | 3.83326111949808 |
76 | 12 | 12.6736211007939 | -0.673621100793941 |
77 | 13 | 11.1724682170990 | 1.82753178290097 |
78 | 14 | 13.4313592133878 | 0.568640786612217 |
79 | 10 | 12.6822151056896 | -2.68221510568961 |
80 | 13 | 11.1810622219947 | 1.81893777800530 |
81 | 13 | 14.1919619942802 | -1.19196199428018 |
82 | 11 | 12.6908091105853 | -1.69080911058527 |
83 | 13 | 12.6936737788838 | 0.306326221116174 |
84 | 16 | 14.2005559991758 | 1.79944400082416 |
85 | 8 | 10.4433767874907 | -2.44337678749074 |
86 | 16 | 11.9502590077828 | 4.04974099221724 |
87 | 11 | 10.4491061240879 | 0.550893875912148 |
88 | 9 | 12.7079971203766 | -3.7079971203766 |
89 | 16 | 17.2229144446555 | -1.22291444465555 |
90 | 12 | 11.9617176809770 | 0.0382823190230201 |
91 | 14 | 12.7165911252723 | 1.28340887472773 |
92 | 8 | 11.2154382415774 | -3.21543824157736 |
93 | 9 | 10.4662941338792 | -1.46629413387918 |
94 | 15 | 11.2211675781745 | 3.77883242182553 |
95 | 11 | 14.2320673504599 | -3.23206735045995 |
96 | 21 | 15.7389495707520 | 5.26105042924803 |
97 | 14 | 13.4857879110603 | 0.514212088939672 |
98 | 18 | 15.7446789073491 | 2.25532109265092 |
99 | 12 | 11.9874996956640 | 0.0125003043360250 |
100 | 13 | 12.7423731399593 | 0.257626860040738 |
101 | 15 | 14.2492553602513 | 0.75074463974872 |
102 | 12 | 11.2440849245629 | 0.755915075437091 |
103 | 19 | 14.2549846968484 | 4.74501530315161 |
104 | 15 | 14.2578493651469 | 0.742150634853055 |
105 | 11 | 14.2607140334455 | -3.2607140334455 |
106 | 11 | 10.5035348217604 | 0.496465178239603 |
107 | 10 | 12.0104170420524 | -2.01041704205242 |
108 | 13 | 14.2693080383412 | -1.26930803834117 |
109 | 15 | 15.0241814826365 | -0.0241814826364516 |
110 | 12 | 11.2670022709513 | 0.732997729048651 |
111 | 12 | 12.0218757152466 | -0.0218757152466351 |
112 | 16 | 15.7847842635288 | 0.215215736471152 |
113 | 9 | 15.0356401558307 | -6.03564015583067 |
114 | 18 | 15.0385048241292 | 2.96149517587077 |
115 | 8 | 15.0413694924278 | -7.04136949242778 |
116 | 13 | 10.5321815047459 | 2.46781849525405 |
117 | 17 | 12.7910725010347 | 4.2089274989653 |
118 | 9 | 11.2899196173398 | -2.28991961733979 |
119 | 15 | 13.5488106136285 | 1.45118938637146 |
120 | 8 | 9.79163140194344 | -1.79163140194344 |
121 | 7 | 9.794496070242 | -2.79449607024199 |
122 | 12 | 12.0533870665307 | -0.0533870665307405 |
123 | 14 | 15.0642868388162 | -1.06428683881622 |
124 | 6 | 11.3071076271311 | -5.30710762713112 |
125 | 8 | 12.0619810714264 | -4.06198107142641 |
126 | 17 | 12.8168545157217 | 4.18314548427831 |
127 | 10 | 9.81168408003332 | 0.188315919966678 |
128 | 11 | 12.8225838523188 | -1.82258385231880 |
129 | 14 | 13.5774572966141 | 0.422542703385911 |
130 | 11 | 12.8283131889159 | -1.82831318891591 |
131 | 13 | 15.0872041852047 | -2.08720418520466 |
132 | 12 | 12.8340425255130 | -0.834042525513022 |
133 | 11 | 10.5808808658214 | 0.419119134178617 |
134 | 9 | 9.8317367581232 | -0.831736758123207 |
135 | 12 | 12.8426365304087 | -0.842636530408687 |
136 | 20 | 14.3495187507007 | 5.65048124929929 |
137 | 12 | 11.3443483150123 | 0.655651684987666 |
138 | 13 | 13.6032393113011 | -0.603239311301084 |
139 | 12 | 13.6061039795996 | -1.60610397959964 |
140 | 12 | 16.6170037518851 | -4.61700375188512 |
141 | 9 | 13.6118333161967 | -4.61183331619675 |
142 | 15 | 14.3667067604920 | 0.633293239507964 |
143 | 24 | 21.8896591887579 | 2.11034081124209 |
144 | 7 | 10.6123922171055 | -3.61239221710549 |
145 | 17 | 15.1273095413844 | 1.87269045861557 |
146 | 11 | 11.3701303296993 | -0.370130329699329 |
147 | 17 | 13.6290213259881 | 3.37097867401192 |
148 | 11 | 12.1278684422932 | -1.12786844229317 |
149 | 12 | 13.6347506625852 | -1.63475066258519 |
150 | 14 | 14.3896241068805 | -0.389624106880476 |
151 | 11 | 13.6404799991823 | -2.6404799991823 |
152 | 16 | 12.8913358914841 | 3.10866410851588 |
153 | 21 | 12.1421917837859 | 8.85780821621406 |
154 | 14 | 11.3930476760878 | 2.60695232391223 |
155 | 20 | 16.6599737763634 | 3.34002622363655 |
156 | 13 | 11.3987770126849 | 1.60122298731512 |
157 | 11 | 12.9056592329769 | -1.90565923297690 |
158 | 15 | 14.4125414532689 | 0.587458546731084 |
159 | 19 | 18.9274587775479 | 0.0725412224521393 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.913274772068044 | 0.173450455863912 | 0.086725227931956 |
7 | 0.843457023179191 | 0.313085953641617 | 0.156542976820809 |
8 | 0.781190557049451 | 0.437618885901098 | 0.218809442950549 |
9 | 0.67969959160312 | 0.64060081679376 | 0.32030040839688 |
10 | 0.579466875913652 | 0.841066248172696 | 0.420533124086348 |
11 | 0.484677297912578 | 0.969354595825156 | 0.515322702087422 |
12 | 0.4433263469705 | 0.886652693941 | 0.5566736530295 |
13 | 0.465524269068609 | 0.931048538137217 | 0.534475730931391 |
14 | 0.484280718162199 | 0.968561436324399 | 0.515719281837801 |
15 | 0.422300063027936 | 0.844600126055872 | 0.577699936972064 |
16 | 0.434422562594325 | 0.86884512518865 | 0.565577437405675 |
17 | 0.511864243241083 | 0.976271513517833 | 0.488135756758917 |
18 | 0.449409395025903 | 0.898818790051807 | 0.550590604974097 |
19 | 0.574512532934101 | 0.850974934131799 | 0.425487467065899 |
20 | 0.607988958980575 | 0.78402208203885 | 0.392011041019425 |
21 | 0.606614400542868 | 0.786771198914264 | 0.393385599457132 |
22 | 0.655136515005599 | 0.689726969988802 | 0.344863484994401 |
23 | 0.606400870727382 | 0.787198258545236 | 0.393599129272618 |
24 | 0.667279614446659 | 0.665440771106682 | 0.332720385553341 |
25 | 0.654650520322963 | 0.690698959354073 | 0.345349479677037 |
26 | 0.605904314298805 | 0.78819137140239 | 0.394095685701195 |
27 | 0.575178697561499 | 0.849642604877002 | 0.424821302438501 |
28 | 0.522815451435506 | 0.954369097128987 | 0.477184548564494 |
29 | 0.487823660630602 | 0.975647321261204 | 0.512176339369398 |
30 | 0.438605606409658 | 0.877211212819316 | 0.561394393590342 |
31 | 0.527025680680314 | 0.945948638639373 | 0.472974319319687 |
32 | 0.493935785932274 | 0.987871571864548 | 0.506064214067726 |
33 | 0.645307493894959 | 0.709385012210081 | 0.354692506105041 |
34 | 0.62418985978934 | 0.75162028042132 | 0.37581014021066 |
35 | 0.612142882593138 | 0.775714234813724 | 0.387857117406862 |
36 | 0.70079032182078 | 0.59841935635844 | 0.29920967817922 |
37 | 0.750984923240525 | 0.498030153518949 | 0.249015076759475 |
38 | 0.714816787036356 | 0.570366425927288 | 0.285183212963644 |
39 | 0.698082877248577 | 0.603834245502845 | 0.301917122751423 |
40 | 0.66536587866941 | 0.66926824266118 | 0.33463412133059 |
41 | 0.676680798318716 | 0.646638403362568 | 0.323319201681284 |
42 | 0.633180709289713 | 0.733638581420575 | 0.366819290710287 |
43 | 0.59616996038128 | 0.80766007923744 | 0.40383003961872 |
44 | 0.648659837600758 | 0.702680324798484 | 0.351340162399242 |
45 | 0.70948533001455 | 0.581029339970901 | 0.290514669985450 |
46 | 0.716404727298929 | 0.567190545402143 | 0.283595272701071 |
47 | 0.677230951993639 | 0.645538096012723 | 0.322769048006361 |
48 | 0.711768802531127 | 0.576462394937747 | 0.288231197468873 |
49 | 0.682781364977714 | 0.634437270044571 | 0.317218635022286 |
50 | 0.739420942629038 | 0.521158114741925 | 0.260579057370962 |
51 | 0.867280610484149 | 0.265438779031702 | 0.132719389515851 |
52 | 0.845883328740897 | 0.308233342518206 | 0.154116671259103 |
53 | 0.821667182098389 | 0.356665635803223 | 0.178332817901611 |
54 | 0.866509638117373 | 0.266980723765254 | 0.133490361882627 |
55 | 0.864360131943185 | 0.27127973611363 | 0.135639868056815 |
56 | 0.841422477030512 | 0.317155045938976 | 0.158577522969488 |
57 | 0.815671192649649 | 0.368657614700703 | 0.184328807350351 |
58 | 0.809074969134897 | 0.381850061730205 | 0.190925030865103 |
59 | 0.816455510812596 | 0.367088978374807 | 0.183544489187404 |
60 | 0.784296587259719 | 0.431406825480563 | 0.215703412740281 |
61 | 0.760823698436576 | 0.478352603126848 | 0.239176301563424 |
62 | 0.736529784323981 | 0.526940431352037 | 0.263470215676019 |
63 | 0.715691580407241 | 0.568616839185517 | 0.284308419592759 |
64 | 0.817659859052267 | 0.364680281895467 | 0.182340140947733 |
65 | 0.787125645658268 | 0.425748708683464 | 0.212874354341732 |
66 | 0.76352705590053 | 0.472945888198939 | 0.236472944099469 |
67 | 0.740271276675196 | 0.519457446649607 | 0.259728723324804 |
68 | 0.701850997368305 | 0.59629800526339 | 0.298149002631695 |
69 | 0.668617884014882 | 0.662764231970236 | 0.331382115985118 |
70 | 0.640773214483345 | 0.718453571033311 | 0.359226785516655 |
71 | 0.59679900717627 | 0.80640198564746 | 0.40320099282373 |
72 | 0.599431246553442 | 0.801137506893115 | 0.400568753446558 |
73 | 0.569391906527871 | 0.861216186944258 | 0.430608093472129 |
74 | 0.578611874419167 | 0.842776251161667 | 0.421388125580833 |
75 | 0.615114244088506 | 0.769771511822989 | 0.384885755911494 |
76 | 0.573641950305086 | 0.852716099389828 | 0.426358049694914 |
77 | 0.548085612866452 | 0.903828774267096 | 0.451914387133548 |
78 | 0.504770931762359 | 0.990458136475283 | 0.495229068237641 |
79 | 0.500497315593199 | 0.999005368813603 | 0.499502684406801 |
80 | 0.475403269307778 | 0.950806538615556 | 0.524596730692222 |
81 | 0.437405697597092 | 0.874811395194184 | 0.562594302402908 |
82 | 0.407907322803616 | 0.815814645607231 | 0.592092677196384 |
83 | 0.364888153376616 | 0.729776306753232 | 0.635111846623384 |
84 | 0.341140649835784 | 0.682281299671569 | 0.658859350164216 |
85 | 0.329912202456449 | 0.659824404912899 | 0.67008779754355 |
86 | 0.380483056927035 | 0.76096611385407 | 0.619516943072965 |
87 | 0.341975629621703 | 0.683951259243405 | 0.658024370378297 |
88 | 0.368042969692741 | 0.736085939385483 | 0.631957030307259 |
89 | 0.332346985972441 | 0.664693971944881 | 0.667653014027559 |
90 | 0.291937583658499 | 0.583875167316998 | 0.708062416341501 |
91 | 0.26324565201075 | 0.5264913040215 | 0.73675434798925 |
92 | 0.270081239092781 | 0.540162478185562 | 0.729918760907219 |
93 | 0.241098905257632 | 0.482197810515263 | 0.758901094742368 |
94 | 0.277540317331690 | 0.555080634663381 | 0.72245968266831 |
95 | 0.284919441742165 | 0.56983888348433 | 0.715080558257835 |
96 | 0.397384217226252 | 0.794768434452503 | 0.602615782773748 |
97 | 0.356493494028688 | 0.712986988057377 | 0.643506505971312 |
98 | 0.347747532672528 | 0.695495065345056 | 0.652252467327472 |
99 | 0.307375778275085 | 0.614751556550171 | 0.692624221724914 |
100 | 0.27035312456301 | 0.54070624912602 | 0.72964687543699 |
101 | 0.239746269145527 | 0.479492538291054 | 0.760253730854473 |
102 | 0.212671368906193 | 0.425342737812387 | 0.787328631093807 |
103 | 0.314614411929374 | 0.629228823858749 | 0.685385588070626 |
104 | 0.289107883151862 | 0.578215766303725 | 0.710892116848138 |
105 | 0.284661006491103 | 0.569322012982206 | 0.715338993508897 |
106 | 0.256269204765059 | 0.512538409530118 | 0.743730795234941 |
107 | 0.229030700988225 | 0.458061401976451 | 0.770969299011775 |
108 | 0.197106382998135 | 0.39421276599627 | 0.802893617001865 |
109 | 0.168956334218739 | 0.337912668437478 | 0.83104366578126 |
110 | 0.150506391397406 | 0.301012782794812 | 0.849493608602594 |
111 | 0.128210302021722 | 0.256420604043443 | 0.871789697978278 |
112 | 0.110012566899149 | 0.220025133798297 | 0.889987433100851 |
113 | 0.173310218511186 | 0.346620437022372 | 0.826689781488814 |
114 | 0.203223126593566 | 0.406446253187131 | 0.796776873406434 |
115 | 0.365154641651962 | 0.730309283303924 | 0.634845358348038 |
116 | 0.385114491783828 | 0.770228983567655 | 0.614885508216172 |
117 | 0.516154130155693 | 0.967691739688615 | 0.483845869844307 |
118 | 0.476005578373473 | 0.952011156746945 | 0.523994421626527 |
119 | 0.474538807395428 | 0.949077614790855 | 0.525461192604572 |
120 | 0.42855172806391 | 0.85710345612782 | 0.57144827193609 |
121 | 0.39561966926665 | 0.7912393385333 | 0.60438033073335 |
122 | 0.355429892350302 | 0.710859784700604 | 0.644570107649698 |
123 | 0.307466706076244 | 0.614933412152488 | 0.692533293923756 |
124 | 0.371801750571231 | 0.743603501142463 | 0.628198249428769 |
125 | 0.392120543141801 | 0.784241086283603 | 0.607879456858199 |
126 | 0.5127262817462 | 0.9745474365076 | 0.4872737182538 |
127 | 0.466702179629954 | 0.933404359259908 | 0.533297820370046 |
128 | 0.414093945598525 | 0.82818789119705 | 0.585906054401475 |
129 | 0.371916467895118 | 0.743832935790237 | 0.628083532104882 |
130 | 0.321822523768204 | 0.643645047536407 | 0.678177476231796 |
131 | 0.279454657836296 | 0.558909315672592 | 0.720545342163704 |
132 | 0.230189874950054 | 0.460379749900108 | 0.769810125049946 |
133 | 0.192213050070226 | 0.384426100140452 | 0.807786949929774 |
134 | 0.152231170564699 | 0.304462341129397 | 0.847768829435301 |
135 | 0.117768887305860 | 0.235537774611721 | 0.88223111269414 |
136 | 0.303251968609739 | 0.606503937219478 | 0.696748031390261 |
137 | 0.282599664659245 | 0.56519932931849 | 0.717400335340755 |
138 | 0.236308287118105 | 0.47261657423621 | 0.763691712881895 |
139 | 0.187063904531805 | 0.374127809063611 | 0.812936095468195 |
140 | 0.214057986539424 | 0.428115973078849 | 0.785942013460576 |
141 | 0.276475766155471 | 0.552951532310942 | 0.723524233844529 |
142 | 0.217934740870687 | 0.435869481741375 | 0.782065259129313 |
143 | 0.183686671696859 | 0.367373343393719 | 0.81631332830314 |
144 | 0.231382977431623 | 0.462765954863246 | 0.768617022568377 |
145 | 0.191764762125860 | 0.383529524251719 | 0.80823523787414 |
146 | 0.147295724208739 | 0.294591448417479 | 0.85270427579126 |
147 | 0.152207942535366 | 0.304415885070732 | 0.847792057464634 |
148 | 0.116462989057331 | 0.232925978114663 | 0.883537010942669 |
149 | 0.102058168082889 | 0.204116336165778 | 0.897941831917111 |
150 | 0.0813901087007167 | 0.162780217401433 | 0.918609891299283 |
151 | 0.488395734483036 | 0.976791468966072 | 0.511604265516964 |
152 | 0.631171898304443 | 0.737656203391114 | 0.368828101695557 |
153 | 0.85932949610366 | 0.281341007792680 | 0.140670503896340 |
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 | 0 | 0 | OK |