Multiple Linear Regression - Estimated Regression Equation |
Parental.Expectations[t] = + 5.84398572246926 + 0.0895090012114705Concern.over.Mistakes[t] -0.12590016401359Doubts.about.actions[t] + 0.665601272609036Parental.Criticism[t] + 0.118116470483094Personal.Standards[t] -0.0820356250087838Organization[t] + 0.00239657305847149t + 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) | 5.84398572246926 | 1.892391 | 3.0881 | 0.002395 | 0.001197 |
Concern.over.Mistakes | 0.0895090012114705 | 0.048323 | 1.8523 | 0.06592 | 0.03296 |
Doubts.about.actions | -0.12590016401359 | 0.087456 | -1.4396 | 0.152043 | 0.076022 |
Parental.Criticism | 0.665601272609036 | 0.086519 | 7.6931 | 0 | 0 |
Personal.Standards | 0.118116470483094 | 0.063446 | 1.8617 | 0.064579 | 0.032289 |
Organization | -0.0820356250087838 | 0.063311 | -1.2958 | 0.197025 | 0.098512 |
t | 0.00239657305847149 | 0.004826 | 0.4966 | 0.620167 | 0.310084 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.639019153846926 |
R-squared | 0.408345478983241 |
Adjusted R-squared | 0.384990695258896 |
F-TEST (value) | 17.4844470324754 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 2.44249065417534e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.70203430228648 |
Sum Squared Residuals | 1109.75038435138 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 14.9210803410871 | -3.92108034108708 |
2 | 7 | 13.0925046624711 | -6.09250466247108 |
3 | 17 | 13.4348411483036 | 3.56515885169636 |
4 | 10 | 11.6361358131956 | -1.63613581319559 |
5 | 12 | 13.4902262264019 | -1.49022622640187 |
6 | 12 | 10.9102456737043 | 1.08975432629570 |
7 | 11 | 9.95636634526597 | 1.04363365473403 |
8 | 11 | 14.2259452167972 | -3.22594521679717 |
9 | 12 | 10.3247194338671 | 1.67528056613286 |
10 | 13 | 11.0934668326881 | 1.90653316731189 |
11 | 14 | 14.554926132076 | -0.554926132076005 |
12 | 16 | 14.470797082463 | 1.52920291753701 |
13 | 11 | 13.5496229211280 | -2.54962292112802 |
14 | 10 | 11.9620371324013 | -1.96203713240128 |
15 | 11 | 12.0743727841591 | -1.07437278415910 |
16 | 15 | 10.0073905431218 | 4.99260945687818 |
17 | 9 | 13.5795763177156 | -4.57957631771556 |
18 | 11 | 12.2165710111153 | -1.21657101111528 |
19 | 17 | 11.9614155813814 | 5.03858441861859 |
20 | 17 | 15.3016742446389 | 1.69832575536110 |
21 | 11 | 13.4068964786110 | -2.40689647861104 |
22 | 18 | 15.0869611253969 | 2.91303887460312 |
23 | 14 | 15.8199758100445 | -1.81997581004447 |
24 | 10 | 12.4777674916039 | -2.47776749160385 |
25 | 11 | 11.6098113580877 | -0.609811358087717 |
26 | 15 | 13.069474603646 | 1.930525396354 |
27 | 15 | 11.5434361406758 | 3.45656385932416 |
28 | 13 | 12.9234467098743 | 0.0765532901256699 |
29 | 16 | 13.6879702615685 | 2.31202973843148 |
30 | 13 | 11.0097850697763 | 1.99021493022365 |
31 | 9 | 11.3749801486981 | -2.3749801486981 |
32 | 18 | 17.8957920605039 | 0.104207939496122 |
33 | 18 | 12.1421476176444 | 5.85785238235565 |
34 | 12 | 13.544038263138 | -1.54403826313799 |
35 | 17 | 13.5369924143627 | 3.46300758563734 |
36 | 9 | 12.0662067965594 | -3.06620679655941 |
37 | 9 | 12.9976392204493 | -3.99763922044934 |
38 | 12 | 8.61547250128739 | 3.38452749871261 |
39 | 18 | 16.7806308369954 | 1.21936916300456 |
40 | 12 | 12.8645388840027 | -0.864538884002747 |
41 | 18 | 14.0413761651963 | 3.95862383480374 |
42 | 14 | 13.8372421818117 | 0.162757818188253 |
43 | 15 | 11.8830338881404 | 3.11696611185962 |
44 | 16 | 10.7320852314352 | 5.26791476856481 |
45 | 10 | 12.9920289324247 | -2.99202893242469 |
46 | 11 | 11.4223100984825 | -0.422310098482497 |
47 | 14 | 12.7974565788318 | 1.20254342116819 |
48 | 9 | 12.9546956639666 | -3.95469566396656 |
49 | 12 | 13.6890797650787 | -1.68907976507872 |
50 | 17 | 12.1492916522225 | 4.85070834777746 |
51 | 5 | 9.6892712670686 | -4.68927126706859 |
52 | 12 | 12.2830691280004 | -0.283069128000385 |
53 | 12 | 11.8923245689500 | 0.107675431050021 |
54 | 6 | 9.32418084441337 | -3.32418084441337 |
55 | 24 | 22.6896550289955 | 1.31034497100449 |
56 | 12 | 12.4492980602770 | -0.449298060277037 |
57 | 12 | 12.8716633115142 | -0.871663311514151 |
58 | 14 | 11.5210578454021 | 2.47894215459789 |
59 | 7 | 9.14216034017986 | -2.14216034017986 |
60 | 13 | 11.0182744302294 | 1.98172556977065 |
61 | 12 | 13.1530443433647 | -1.15304434336469 |
62 | 13 | 11.4728085644371 | 1.52719143556287 |
63 | 14 | 11.3818455796194 | 2.61815442038062 |
64 | 8 | 12.828178032706 | -4.828178032706 |
65 | 11 | 9.32125127027065 | 1.67874872972935 |
66 | 9 | 11.7415669730691 | -2.74156697306911 |
67 | 11 | 13.7266513741233 | -2.72665137412326 |
68 | 13 | 13.3657289960723 | -0.365728996072312 |
69 | 10 | 9.36515809184376 | 0.634841908156238 |
70 | 11 | 12.6438553743722 | -1.64385537437222 |
71 | 12 | 12.7299476991651 | -0.729947699165077 |
72 | 9 | 11.8369439427810 | -2.83694394278103 |
73 | 15 | 14.6177340222560 | 0.382265977744037 |
74 | 18 | 14.8800641483335 | 3.11993585166653 |
75 | 15 | 12.1134900297425 | 2.88650997025749 |
76 | 12 | 12.7902221279907 | -0.790222127990721 |
77 | 13 | 9.85269945811001 | 3.14730054188999 |
78 | 14 | 13.0199242822064 | 0.980075717793584 |
79 | 10 | 11.8856399256721 | -1.88563992567208 |
80 | 13 | 12.2987974444570 | 0.701202555543019 |
81 | 13 | 13.7281754848096 | -0.728175484809557 |
82 | 11 | 12.0961296798454 | -1.09612967984536 |
83 | 13 | 12.1760277134580 | 0.823972286541977 |
84 | 16 | 14.4683460594585 | 1.53165394054155 |
85 | 8 | 9.7010565910997 | -1.7010565910997 |
86 | 16 | 11.5975615445035 | 4.40243845549648 |
87 | 11 | 11.1033545592561 | -0.103354559256068 |
88 | 9 | 11.2973727503253 | -2.29737275032527 |
89 | 16 | 17.7555095598081 | -1.75550955980811 |
90 | 12 | 11.4457874619051 | 0.554212538094877 |
91 | 14 | 11.9906407849722 | 2.00935921502779 |
92 | 8 | 10.5990252105176 | -2.59902521051758 |
93 | 9 | 9.5632762181969 | -0.563276218196896 |
94 | 15 | 11.7309174625886 | 3.26908253741136 |
95 | 11 | 13.5607264409179 | -2.56072644091785 |
96 | 21 | 17.2238502100413 | 3.77614978995873 |
97 | 14 | 13.2567964308858 | 0.743203569114158 |
98 | 18 | 15.7828218114244 | 2.21717818857561 |
99 | 12 | 11.7113732539281 | 0.28862674607195 |
100 | 13 | 12.6860691892339 | 0.313930810766054 |
101 | 15 | 14.5356884111199 | 0.464311588880138 |
102 | 12 | 11.0648424941588 | 0.93515750584118 |
103 | 19 | 14.4536834312106 | 4.54631656878938 |
104 | 15 | 14.0288648862901 | 0.971135113709867 |
105 | 11 | 13.0310396357798 | -2.03103963577984 |
106 | 11 | 10.6785971868898 | 0.321402813110241 |
107 | 10 | 12.3636065048675 | -2.36360650486749 |
108 | 13 | 14.7876214558746 | -1.78762145587455 |
109 | 15 | 14.7777631440822 | 0.222236855917843 |
110 | 12 | 9.90926605102203 | 2.09073394897797 |
111 | 12 | 11.0205836554597 | 0.979416344540333 |
112 | 16 | 15.7559093666238 | 0.244090633376166 |
113 | 9 | 15.5029829815267 | -6.50298298152667 |
114 | 18 | 17.534703773785 | 0.465296226215003 |
115 | 8 | 15.0299439185223 | -7.02994391852227 |
116 | 13 | 10.3865281475061 | 2.6134718524939 |
117 | 17 | 14.1988780020735 | 2.80112199792652 |
118 | 9 | 11.0607927299636 | -2.06079272996361 |
119 | 15 | 13.2244194544224 | 1.77558054557755 |
120 | 8 | 9.66830879116794 | -1.66830879116794 |
121 | 7 | 11.2734798663308 | -4.27347986633081 |
122 | 12 | 11.3592107547492 | 0.640789245250814 |
123 | 14 | 15.0612088247332 | -1.06120882473319 |
124 | 6 | 10.7816409078796 | -4.78164090787956 |
125 | 8 | 10.1787563197468 | -2.17875631974678 |
126 | 17 | 12.4696688337318 | 4.53033116626818 |
127 | 10 | 9.77589664781187 | 0.224103352188126 |
128 | 11 | 12.5827045162717 | -1.58270451627169 |
129 | 14 | 12.8432351120806 | 1.15676488791943 |
130 | 11 | 13.6916827520720 | -2.69168275207195 |
131 | 13 | 15.4220010557674 | -2.42200105576743 |
132 | 12 | 11.9513014928660 | 0.0486985071339539 |
133 | 11 | 10.4630404176466 | 0.536959582353384 |
134 | 9 | 9.49175140350905 | -0.491751403509054 |
135 | 12 | 12.1160648040677 | -0.116064804067656 |
136 | 20 | 14.7827087662005 | 5.2172912337995 |
137 | 12 | 10.7438841957670 | 1.25611580423302 |
138 | 13 | 13.6794670666938 | -0.679467066693821 |
139 | 12 | 13.1935634194986 | -1.19356341949856 |
140 | 12 | 16.5328463645447 | -4.53284636454473 |
141 | 9 | 14.6631617883371 | -5.66316178833711 |
142 | 15 | 15.6353737848601 | -0.635373784860085 |
143 | 24 | 21.5444244849536 | 2.45557551504643 |
144 | 7 | 10.0198760511055 | -3.01987605110552 |
145 | 17 | 14.6679847788291 | 2.33201522117085 |
146 | 11 | 11.9891411384082 | -0.98914113840824 |
147 | 17 | 15.2226058638896 | 1.77739413611038 |
148 | 11 | 12.3546993714627 | -1.35469937146269 |
149 | 12 | 12.6052306846408 | -0.605230684640806 |
150 | 14 | 14.5430980313602 | -0.543098031360177 |
151 | 11 | 14.3714030662813 | -3.37140306628126 |
152 | 16 | 12.8908647093164 | 3.10913529068361 |
153 | 21 | 13.9326550693200 | 7.06734493067997 |
154 | 14 | 12.3025475987315 | 1.69745240126850 |
155 | 20 | 16.4676321019483 | 3.53236789805169 |
156 | 13 | 11.1214751137120 | 1.87852488628796 |
157 | 11 | 13.1546479026359 | -2.15464790263593 |
158 | 15 | 14.0049314867086 | 0.995068513291381 |
159 | 19 | 18.0023051118859 | 0.997694888114127 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.568556767294595 | 0.86288646541081 | 0.431443232705405 |
11 | 0.588147825866375 | 0.82370434826725 | 0.411852174133625 |
12 | 0.614663340459394 | 0.770673319081211 | 0.385336659540606 |
13 | 0.612210156559909 | 0.775579686880182 | 0.387789843440091 |
14 | 0.573587636677876 | 0.852824726644248 | 0.426412363322124 |
15 | 0.636041220959063 | 0.727917558081873 | 0.363958779040937 |
16 | 0.559367019067781 | 0.881265961864438 | 0.440632980932219 |
17 | 0.713207109308357 | 0.573585781383287 | 0.286792890691643 |
18 | 0.636306592547314 | 0.727386814905371 | 0.363693407452686 |
19 | 0.662630794959175 | 0.67473841008165 | 0.337369205040825 |
20 | 0.614202456423977 | 0.771595087152046 | 0.385797543576023 |
21 | 0.653369627537255 | 0.69326074492549 | 0.346630372462745 |
22 | 0.658742183833347 | 0.682515632333307 | 0.341257816166653 |
23 | 0.610682044363425 | 0.778635911273151 | 0.389317955636575 |
24 | 0.719199909854557 | 0.561600180290887 | 0.280800090145443 |
25 | 0.706122317304841 | 0.587755365390317 | 0.293877682695159 |
26 | 0.647881531902798 | 0.704236936194405 | 0.352118468097202 |
27 | 0.597742245050239 | 0.804515509899522 | 0.402257754949761 |
28 | 0.540240502378914 | 0.919518995242171 | 0.459759497621086 |
29 | 0.480592185020466 | 0.961184370040931 | 0.519407814979534 |
30 | 0.426223133200142 | 0.852446266400285 | 0.573776866799858 |
31 | 0.592880374993129 | 0.814239250013741 | 0.407119625006871 |
32 | 0.53831330632137 | 0.92337338735726 | 0.46168669367863 |
33 | 0.560853041383025 | 0.87829391723395 | 0.439146958616975 |
34 | 0.665848609414127 | 0.668302781171746 | 0.334151390585873 |
35 | 0.644493508581396 | 0.711012982837209 | 0.355506491418604 |
36 | 0.729833087248922 | 0.540333825502157 | 0.270166912751078 |
37 | 0.806185451501761 | 0.387629096996478 | 0.193814548498239 |
38 | 0.781399238785626 | 0.437201522428749 | 0.218600761214374 |
39 | 0.750293813080566 | 0.499412373838868 | 0.249706186919434 |
40 | 0.731965954860188 | 0.536068090279623 | 0.268034045139812 |
41 | 0.76226264937811 | 0.47547470124378 | 0.23773735062189 |
42 | 0.729115824186943 | 0.541768351626114 | 0.270884175813057 |
43 | 0.702968437898305 | 0.594063124203391 | 0.297031562101695 |
44 | 0.740426565303621 | 0.519146869392757 | 0.259573434696379 |
45 | 0.818445949020775 | 0.363108101958450 | 0.181554050979225 |
46 | 0.809539772309609 | 0.380920455380782 | 0.190460227690391 |
47 | 0.773356333219843 | 0.453287333560313 | 0.226643666780157 |
48 | 0.822857048523623 | 0.354285902952754 | 0.177142951476377 |
49 | 0.807959128754009 | 0.384081742491983 | 0.192040871245991 |
50 | 0.849576586753071 | 0.300846826493857 | 0.150423413246929 |
51 | 0.916209000614944 | 0.167581998770112 | 0.083790999385056 |
52 | 0.90315784427072 | 0.193684311458560 | 0.0968421557292802 |
53 | 0.881859205103417 | 0.236281589793166 | 0.118140794896583 |
54 | 0.918590240768228 | 0.162819518463544 | 0.081409759231772 |
55 | 0.900515212709533 | 0.198969574580933 | 0.0994847872904667 |
56 | 0.878653394982312 | 0.242693210035376 | 0.121346605017688 |
57 | 0.859505615810401 | 0.280988768379198 | 0.140494384189599 |
58 | 0.848070253775119 | 0.303859492449762 | 0.151929746224881 |
59 | 0.852384722244538 | 0.295230555510923 | 0.147615277755462 |
60 | 0.831708464913995 | 0.336583070172011 | 0.168291535086005 |
61 | 0.81337042657954 | 0.373259146840919 | 0.186629573420459 |
62 | 0.7888630863694 | 0.4222738272612 | 0.2111369136306 |
63 | 0.781691650267524 | 0.436616699464952 | 0.218308349732476 |
64 | 0.863673737302064 | 0.272652525395872 | 0.136326262697936 |
65 | 0.8477969906621 | 0.304406018675800 | 0.152203009337900 |
66 | 0.844641196948623 | 0.310717606102754 | 0.155358803051377 |
67 | 0.844372619589009 | 0.311254760821983 | 0.155627380410991 |
68 | 0.817574928552754 | 0.364850142894492 | 0.182425071447246 |
69 | 0.79298140062721 | 0.41403719874558 | 0.20701859937279 |
70 | 0.770514688511034 | 0.458970622977932 | 0.229485311488966 |
71 | 0.742735543949464 | 0.514528912101073 | 0.257264456050536 |
72 | 0.745320455335979 | 0.509359089328043 | 0.254679544664021 |
73 | 0.714116696373574 | 0.571766607252852 | 0.285883303626426 |
74 | 0.729383682877141 | 0.541232634245718 | 0.270616317122859 |
75 | 0.733185732199788 | 0.533628535600424 | 0.266814267800212 |
76 | 0.698375928037295 | 0.603248143925409 | 0.301624071962705 |
77 | 0.725776286100431 | 0.548447427799138 | 0.274223713899569 |
78 | 0.690931599256775 | 0.61813680148645 | 0.309068400743225 |
79 | 0.667829763166658 | 0.664340473666684 | 0.332170236833342 |
80 | 0.626839025081021 | 0.746321949837958 | 0.373160974918979 |
81 | 0.58446084972528 | 0.831078300549439 | 0.415539150274719 |
82 | 0.54876856517263 | 0.902462869654739 | 0.451231434827369 |
83 | 0.505686899907911 | 0.988626200184177 | 0.494313100092089 |
84 | 0.472679302499521 | 0.945358604999041 | 0.52732069750048 |
85 | 0.443813207663266 | 0.887626415326532 | 0.556186792336734 |
86 | 0.520592747951703 | 0.958814504096595 | 0.479407252048297 |
87 | 0.476495743360037 | 0.952991486720073 | 0.523504256639963 |
88 | 0.458358152714902 | 0.916716305429804 | 0.541641847285098 |
89 | 0.436092261081063 | 0.872184522162125 | 0.563907738918937 |
90 | 0.391271320149089 | 0.782542640298178 | 0.608728679850911 |
91 | 0.369496303264734 | 0.738992606529469 | 0.630503696735266 |
92 | 0.364789811603488 | 0.729579623206977 | 0.635210188396512 |
93 | 0.322731081818244 | 0.645462163636489 | 0.677268918181756 |
94 | 0.342920096827973 | 0.685840193655947 | 0.657079903172027 |
95 | 0.337970099657111 | 0.675940199314223 | 0.662029900342889 |
96 | 0.371436689043011 | 0.742873378086023 | 0.628563310956989 |
97 | 0.330263135189319 | 0.660526270378638 | 0.669736864810681 |
98 | 0.308464802882551 | 0.616929605765101 | 0.69153519711745 |
99 | 0.268220292980001 | 0.536440585960002 | 0.731779707019999 |
100 | 0.230310653365581 | 0.460621306731162 | 0.769689346634419 |
101 | 0.197378545170942 | 0.394757090341883 | 0.802621454829058 |
102 | 0.173447637374175 | 0.346895274748349 | 0.826552362625825 |
103 | 0.248271257083183 | 0.496542514166367 | 0.751728742916817 |
104 | 0.225234675478418 | 0.450469350956837 | 0.774765324521582 |
105 | 0.203011813139750 | 0.406023626279499 | 0.79698818686025 |
106 | 0.175904967064540 | 0.351809934129081 | 0.82409503293546 |
107 | 0.165124511622290 | 0.330249023244580 | 0.83487548837771 |
108 | 0.147355265503062 | 0.294710531006124 | 0.852644734496938 |
109 | 0.122009125339945 | 0.244018250679891 | 0.877990874660055 |
110 | 0.123551452413675 | 0.247102904827351 | 0.876448547586325 |
111 | 0.110793200219102 | 0.221586400438203 | 0.889206799780898 |
112 | 0.089195257429356 | 0.178390514858712 | 0.910804742570644 |
113 | 0.211616619562739 | 0.423233239125479 | 0.78838338043726 |
114 | 0.187270463442716 | 0.374540926885432 | 0.812729536557284 |
115 | 0.389818205601655 | 0.77963641120331 | 0.610181794398345 |
116 | 0.397996944335834 | 0.795993888671668 | 0.602003055664166 |
117 | 0.453940434167192 | 0.907880868334384 | 0.546059565832808 |
118 | 0.412379434236482 | 0.824758868472964 | 0.587620565763518 |
119 | 0.396180124988937 | 0.792360249977874 | 0.603819875011063 |
120 | 0.363018384034183 | 0.726036768068367 | 0.636981615965817 |
121 | 0.37569736230763 | 0.75139472461526 | 0.62430263769237 |
122 | 0.372553683036160 | 0.745107366072321 | 0.62744631696384 |
123 | 0.322188985054299 | 0.644377970108599 | 0.6778110149457 |
124 | 0.408299521892262 | 0.816599043784523 | 0.591700478107738 |
125 | 0.360054946542827 | 0.720109893085654 | 0.639945053457173 |
126 | 0.500649696250315 | 0.99870060749937 | 0.499350303749685 |
127 | 0.453862973847097 | 0.907725947694194 | 0.546137026152903 |
128 | 0.405168177058571 | 0.810336354117142 | 0.594831822941429 |
129 | 0.354331142110283 | 0.708662284220567 | 0.645668857889717 |
130 | 0.351469676685576 | 0.702939353371152 | 0.648530323314424 |
131 | 0.320023500588473 | 0.640047001176945 | 0.679976499411527 |
132 | 0.263655267620465 | 0.52731053524093 | 0.736344732379535 |
133 | 0.214507621791096 | 0.429015243582191 | 0.785492378208904 |
134 | 0.168379515643071 | 0.336759031286141 | 0.83162048435693 |
135 | 0.128657214543669 | 0.257314429087339 | 0.87134278545633 |
136 | 0.255848933549163 | 0.511697867098326 | 0.744151066450837 |
137 | 0.310553056223090 | 0.621106112446181 | 0.68944694377691 |
138 | 0.313088134764783 | 0.626176269529565 | 0.686911865235217 |
139 | 0.247349786324218 | 0.494699572648436 | 0.752650213675782 |
140 | 0.248429579937389 | 0.496859159874778 | 0.751570420062611 |
141 | 0.414436434159839 | 0.828872868319677 | 0.585563565840161 |
142 | 0.368294778516482 | 0.736589557032964 | 0.631705221483518 |
143 | 0.297153187303325 | 0.59430637460665 | 0.702846812696675 |
144 | 0.248899479930882 | 0.497798959861764 | 0.751100520069118 |
145 | 0.275883551627299 | 0.551767103254599 | 0.7241164483727 |
146 | 0.207166140004366 | 0.414332280008732 | 0.792833859995634 |
147 | 0.134962110971092 | 0.269924221942183 | 0.865037889028908 |
148 | 0.0856555256560498 | 0.171311051312100 | 0.91434447434395 |
149 | 0.0429394703903827 | 0.0858789407807654 | 0.957060529609617 |
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 | 0.00714285714285714 | OK |