Multiple Linear Regression - Estimated Regression Equation |
Doubtsaboutactions[t] = + 4.09848461408936 + 0.32267807199523month[t] + 0.246895780354797ConcernoverMistakes[t] -0.109244278297377ParentalExpectations[t] + 0.151547174570636ParentalCriticism[t] -0.189756878633375PersonalStandards[t] + 0.113329495895667`Organization `[t] + 0.000994111036614308t + 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) | 4.09848461408936 | 11.14169 | 0.3679 | 0.713499 | 0.35675 |
month | 0.32267807199523 | 1.115152 | 0.2894 | 0.772704 | 0.386352 |
ConcernoverMistakes | 0.246895780354797 | 0.040538 | 6.0905 | 0 | 0 |
ParentalExpectations | -0.109244278297377 | 0.074902 | -1.4585 | 0.146781 | 0.073391 |
ParentalCriticism | 0.151547174570636 | 0.094178 | 1.6091 | 0.109673 | 0.054836 |
PersonalStandards | -0.189756878633375 | 0.057396 | -3.3061 | 0.001182 | 0.000591 |
`Organization ` | 0.113329495895667 | 0.058093 | 1.9508 | 0.052929 | 0.026464 |
t | 0.000994111036614308 | 0.004693 | 0.2118 | 0.832533 | 0.416267 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.490382703106539 |
R-squared | 0.240475195506076 |
Adjusted R-squared | 0.205265436357351 |
F-TEST (value) | 6.82978814170002 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 151 |
p-value | 4.7523723134546e-07 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.49660665392697 |
Sum Squared Residuals | 941.189762449296 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 14 | 11.9383609412608 | 2.06163905873918 |
2 | 11 | 11.4872938812390 | -0.487293881238981 |
3 | 6 | 7.69855356508792 | -1.69855356508792 |
4 | 12 | 10.5718200777367 | 1.42817992226325 |
5 | 8 | 9.48328418726645 | -1.48328418726645 |
6 | 10 | 9.82068734740888 | 0.179312652591124 |
7 | 10 | 9.76395678696258 | 0.236043213037420 |
8 | 11 | 9.76439377225854 | 1.23560622774146 |
9 | 16 | 10.7956172351207 | 5.20438276487926 |
10 | 11 | 10.0214322606587 | 0.978567739341315 |
11 | 13 | 12.4184769097510 | 0.581523090249037 |
12 | 12 | 12.9461816021611 | -0.946181602161125 |
13 | 8 | 12.9774721403172 | -4.97747214031722 |
14 | 12 | 10.5670739288329 | 1.43292607116709 |
15 | 11 | 9.1831447413438 | 1.81685525865620 |
16 | 4 | 7.32123516068448 | -3.32123516068448 |
17 | 9 | 10.9996412635532 | -1.99964126355324 |
18 | 8 | 9.76064402319735 | -1.76064402319735 |
19 | 8 | 10.0310031133341 | -2.03100311333405 |
20 | 14 | 12.7109646443399 | 1.28903535566007 |
21 | 15 | 12.1900764504960 | 2.80992354950398 |
22 | 16 | 13.7239096864469 | 2.27609031355308 |
23 | 9 | 11.7481733683644 | -2.74817336836438 |
24 | 14 | 14.31378239371 | -0.313782393709995 |
25 | 11 | 11.4299165844033 | -0.429916584403258 |
26 | 8 | 9.38220479627382 | -1.38220479627382 |
27 | 9 | 9.53662674775096 | -0.536626747750962 |
28 | 9 | 11.5961879912493 | -2.59618799124928 |
29 | 9 | 10.4542311586860 | -1.45423115868602 |
30 | 9 | 9.47335143639563 | -0.473351436395627 |
31 | 10 | 11.7502994625792 | -1.75029946257920 |
32 | 16 | 11.7740582368889 | 4.22594176311113 |
33 | 11 | 9.10568159672916 | 1.89431840327084 |
34 | 8 | 10.0423757817061 | -2.04237578170606 |
35 | 9 | 8.70005677440964 | 0.299943225590362 |
36 | 16 | 12.6314202583801 | 3.36857974161985 |
37 | 11 | 12.6157490448223 | -1.61574904482227 |
38 | 16 | 9.2868732042673 | 6.7131267957327 |
39 | 12 | 12.2969260292881 | -0.296926029288116 |
40 | 12 | 10.3909520920345 | 1.60904790796547 |
41 | 14 | 12.5412822855878 | 1.45871771441223 |
42 | 9 | 10.4958862801234 | -1.49588628012339 |
43 | 10 | 10.6558545064659 | -0.655854506465923 |
44 | 9 | 8.43871834554534 | 0.561281654454665 |
45 | 10 | 10.1007501125091 | -0.100750112509135 |
46 | 12 | 10.1232213070660 | 1.87677869293403 |
47 | 14 | 11.6002400954968 | 2.39975990450321 |
48 | 14 | 12.0943157434829 | 1.90568425651714 |
49 | 10 | 12.2980569018874 | -2.29805690188738 |
50 | 14 | 9.89324877294636 | 4.10675122705364 |
51 | 16 | 12.2107222858577 | 3.78927771414227 |
52 | 9 | 10.4575426615236 | -1.45754266152363 |
53 | 10 | 11.5954031954859 | -1.59540319548588 |
54 | 6 | 9.01244269724991 | -3.01244269724991 |
55 | 8 | 11.2759876621775 | -3.2759876621775 |
56 | 13 | 12.4340621920867 | 0.565937807913331 |
57 | 10 | 10.8413004326460 | -0.841300432646013 |
58 | 8 | 8.89909901396103 | -0.899099013961033 |
59 | 7 | 9.18672055480479 | -2.18672055480479 |
60 | 15 | 9.79033033336827 | 5.20966966663173 |
61 | 9 | 9.91519991506454 | -0.915199915064538 |
62 | 10 | 10.2265618496154 | -0.226561849615389 |
63 | 12 | 10.2293852797983 | 1.77061472020166 |
64 | 13 | 10.4887256458230 | 2.51127435417698 |
65 | 10 | 8.4160868781178 | 1.58391312188221 |
66 | 11 | 11.8428133001595 | -0.842813300159469 |
67 | 8 | 13.6015868713492 | -5.6015868713492 |
68 | 9 | 9.13257018067963 | -0.132570180679627 |
69 | 13 | 8.6606179865688 | 4.3393820134312 |
70 | 11 | 10.4327744805518 | 0.567225519448176 |
71 | 8 | 12.7569392870387 | -4.75693928703867 |
72 | 9 | 10.7871768270365 | -1.78717682703654 |
73 | 9 | 12.3531004172197 | -3.35310041721968 |
74 | 15 | 12.5015992889971 | 2.49840071100287 |
75 | 9 | 11.1790482555329 | -2.17904825553289 |
76 | 10 | 11.5656486191227 | -1.56564861912273 |
77 | 14 | 8.94890740412202 | 5.05109259587798 |
78 | 12 | 10.9673786288825 | 1.03262137111750 |
79 | 12 | 11.1369017186734 | 0.86309828132665 |
80 | 11 | 11.5563104403333 | -0.556310440333313 |
81 | 14 | 11.4956618273568 | 2.50433817264318 |
82 | 6 | 11.5822967772443 | -5.58229677724427 |
83 | 12 | 11.2726579319011 | 0.7273420680989 |
84 | 8 | 10.0902354968231 | -2.09023549682314 |
85 | 14 | 12.4266650619372 | 1.57333493806276 |
86 | 11 | 10.8332623687061 | 0.166737631293865 |
87 | 10 | 9.93884225028811 | 0.0611577497118848 |
88 | 14 | 10.2675098748811 | 3.73249012511893 |
89 | 12 | 12.0703882440690 | -0.0703882440690459 |
90 | 10 | 11.0097065135456 | -1.00970651354563 |
91 | 14 | 13.0120181927287 | 0.987981807271296 |
92 | 5 | 9.03553738146481 | -4.03553738146481 |
93 | 11 | 10.5232989831333 | 0.476701016866721 |
94 | 10 | 10.2129764002312 | -0.212976400231170 |
95 | 9 | 11.4995123315785 | -2.49951233157849 |
96 | 10 | 11.4732522121774 | -1.47325221217737 |
97 | 16 | 13.7583109166552 | 2.24168908334482 |
98 | 13 | 12.8298598939219 | 0.170140106078072 |
99 | 9 | 10.8288966342418 | -1.82889663424179 |
100 | 10 | 11.3862219908247 | -1.38622199082471 |
101 | 10 | 10.9965922733871 | -0.996592273387102 |
102 | 7 | 9.50299179272843 | -2.50299179272843 |
103 | 9 | 9.82353919762822 | -0.823539197628221 |
104 | 8 | 10.2579389578854 | -2.25793895788538 |
105 | 14 | 12.9134524337885 | 1.08654756621147 |
106 | 14 | 11.6331599260423 | 2.36684007395766 |
107 | 8 | 11.0958116562564 | -3.09581165625638 |
108 | 9 | 11.5479859267524 | -2.54798592675245 |
109 | 14 | 11.8396407755936 | 2.16035922440638 |
110 | 14 | 10.7637637562644 | 3.23623624373556 |
111 | 8 | 9.89181980729454 | -1.89181980729454 |
112 | 8 | 13.7246293482616 | -5.72462934826161 |
113 | 8 | 11.0186565149427 | -3.01865651494274 |
114 | 7 | 8.59672109006802 | -1.59672109006802 |
115 | 6 | 7.55834374557591 | -1.55834374557591 |
116 | 8 | 9.46348840514807 | -1.46348840514807 |
117 | 6 | 8.3305117942813 | -2.3305117942813 |
118 | 11 | 9.92400609449128 | 1.07599390550872 |
119 | 14 | 11.8864760245055 | 2.11352397549451 |
120 | 11 | 11.1211527618446 | -0.121152761844623 |
121 | 11 | 12.0065792151989 | -1.00657921519891 |
122 | 11 | 9.24039168546497 | 1.75960831453503 |
123 | 14 | 10.4261856396478 | 3.57381436035225 |
124 | 8 | 10.4438890102675 | -2.44388901026750 |
125 | 20 | 11.5552817393326 | 8.44471826066744 |
126 | 11 | 10.3653475515601 | 0.634652448439872 |
127 | 8 | 9.21395662788415 | -1.21395662788415 |
128 | 11 | 10.7935192952045 | 0.206480704795504 |
129 | 10 | 10.6938068211101 | -0.693806821110146 |
130 | 14 | 13.5123094087277 | 0.487690591272337 |
131 | 11 | 10.6198101889757 | 0.380189811024251 |
132 | 9 | 10.6520758892231 | -1.65207588922305 |
133 | 9 | 9.79291786424464 | -0.792917864244645 |
134 | 8 | 10.2227534824305 | -2.22275348243046 |
135 | 10 | 12.1161961158982 | -2.11619611589821 |
136 | 13 | 10.7699109692416 | 2.23008903075835 |
137 | 13 | 10.1651435241787 | 2.83485647582134 |
138 | 12 | 9.33871465209338 | 2.66128534790662 |
139 | 8 | 10.4486817159249 | -2.44868171592491 |
140 | 13 | 11.0806210853237 | 1.91937891467632 |
141 | 14 | 12.4752392012792 | 1.52476079872079 |
142 | 12 | 11.7404095124673 | 0.259590487532718 |
143 | 14 | 10.9504032607241 | 3.04959673927592 |
144 | 15 | 11.3812680857315 | 3.61873191426849 |
145 | 13 | 10.5929297121601 | 2.40707028783991 |
146 | 16 | 11.934451340224 | 4.06554865977601 |
147 | 9 | 12.0412791436863 | -3.04127914368626 |
148 | 9 | 10.5511480018923 | -1.55114800189227 |
149 | 9 | 11.0524282560510 | -2.05242825605105 |
150 | 8 | 11.3635933521282 | -3.36359335212824 |
151 | 7 | 10.1350992827678 | -3.13509928276784 |
152 | 16 | 12.0196638196434 | 3.98033618035661 |
153 | 11 | 13.4097102544819 | -2.40971025448191 |
154 | 9 | 10.0445020094602 | -1.04450200946019 |
155 | 11 | 9.91492068599586 | 1.08507931400414 |
156 | 9 | 9.94122107111782 | -0.94122107111782 |
157 | 14 | 12.5708557663133 | 1.42914423368665 |
158 | 13 | 11.1094471966484 | 1.89055280335164 |
159 | 16 | 14.526934666488 | 1.47306533351201 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.0858038157986433 | 0.171607631597287 | 0.914196184201357 |
12 | 0.0311388328683758 | 0.0622776657367515 | 0.968861167131624 |
13 | 0.304625697495615 | 0.609251394991229 | 0.695374302504385 |
14 | 0.492329737864456 | 0.984659475728911 | 0.507670262135544 |
15 | 0.652614745536411 | 0.694770508927177 | 0.347385254463589 |
16 | 0.581383240328434 | 0.837233519343133 | 0.418616759671566 |
17 | 0.488605910463526 | 0.977211820927051 | 0.511394089536474 |
18 | 0.415433694355204 | 0.830867388710409 | 0.584566305644796 |
19 | 0.381673344697806 | 0.763346689395611 | 0.618326655302194 |
20 | 0.569146547006844 | 0.861706905986313 | 0.430853452993157 |
21 | 0.655379203417038 | 0.689241593165924 | 0.344620796582962 |
22 | 0.640845941785107 | 0.718308116429785 | 0.359154058214893 |
23 | 0.608419781860623 | 0.783160436278754 | 0.391580218139377 |
24 | 0.534840639600807 | 0.930318720798385 | 0.465159360399193 |
25 | 0.469752142047923 | 0.939504284095846 | 0.530247857952077 |
26 | 0.403081457747574 | 0.806162915495148 | 0.596918542252426 |
27 | 0.342195188723639 | 0.684390377447278 | 0.657804811276361 |
28 | 0.299747187925589 | 0.599494375851178 | 0.700252812074411 |
29 | 0.244870824682181 | 0.489741649364361 | 0.75512917531782 |
30 | 0.207910820784677 | 0.415821641569353 | 0.792089179215324 |
31 | 0.170361431949055 | 0.340722863898111 | 0.829638568050945 |
32 | 0.283067245674559 | 0.566134491349119 | 0.71693275432544 |
33 | 0.270316637094823 | 0.540633274189646 | 0.729683362905177 |
34 | 0.2571493432061 | 0.5142986864122 | 0.7428506567939 |
35 | 0.216765227922384 | 0.433530455844767 | 0.783234772077616 |
36 | 0.251986646250178 | 0.503973292500357 | 0.748013353749822 |
37 | 0.237929554025637 | 0.475859108051273 | 0.762070445974363 |
38 | 0.650441650958342 | 0.699116698083317 | 0.349558349041658 |
39 | 0.6017083986221 | 0.7965832027558 | 0.3982916013779 |
40 | 0.56110031760819 | 0.87779936478362 | 0.43889968239181 |
41 | 0.51521617013444 | 0.96956765973112 | 0.48478382986556 |
42 | 0.492396983288677 | 0.984793966577355 | 0.507603016711323 |
43 | 0.450306919640216 | 0.900613839280431 | 0.549693080359784 |
44 | 0.397607376291125 | 0.79521475258225 | 0.602392623708875 |
45 | 0.346319223754877 | 0.692638447509754 | 0.653680776245123 |
46 | 0.317079734035208 | 0.634159468070417 | 0.682920265964792 |
47 | 0.295981527330942 | 0.591963054661884 | 0.704018472669058 |
48 | 0.268117089910056 | 0.536234179820112 | 0.731882910089944 |
49 | 0.282592035349496 | 0.565184070698993 | 0.717407964650504 |
50 | 0.336775896500894 | 0.673551793001789 | 0.663224103499106 |
51 | 0.370792769777342 | 0.741585539554683 | 0.629207230222658 |
52 | 0.361104707823912 | 0.722209415647825 | 0.638895292176088 |
53 | 0.347412812569508 | 0.694825625139015 | 0.652587187430492 |
54 | 0.37523922403124 | 0.75047844806248 | 0.62476077596876 |
55 | 0.394336161800895 | 0.78867232360179 | 0.605663838199105 |
56 | 0.349041081226948 | 0.698082162453896 | 0.650958918773052 |
57 | 0.308474979890596 | 0.616949959781192 | 0.691525020109404 |
58 | 0.269839198752162 | 0.539678397504324 | 0.730160801247838 |
59 | 0.253607093667186 | 0.507214187334373 | 0.746392906332814 |
60 | 0.402506486830677 | 0.805012973661354 | 0.597493513169323 |
61 | 0.358464436891628 | 0.716928873783257 | 0.641535563108372 |
62 | 0.315873446267091 | 0.631746892534183 | 0.684126553732909 |
63 | 0.293859771920228 | 0.587719543840457 | 0.706140228079772 |
64 | 0.302982330926661 | 0.605964661853323 | 0.697017669073339 |
65 | 0.277194667858765 | 0.554389335717531 | 0.722805332141235 |
66 | 0.245183598557638 | 0.490367197115275 | 0.754816401442362 |
67 | 0.428811311698767 | 0.857622623397535 | 0.571188688301233 |
68 | 0.382745278825644 | 0.765490557651289 | 0.617254721174356 |
69 | 0.479903355215207 | 0.959806710430414 | 0.520096644784793 |
70 | 0.437478221857139 | 0.874956443714277 | 0.562521778142861 |
71 | 0.550596682282998 | 0.898806635434003 | 0.449403317717002 |
72 | 0.522113926781177 | 0.955772146437646 | 0.477886073218823 |
73 | 0.542069975804689 | 0.915860048390621 | 0.457930024195311 |
74 | 0.553643363353635 | 0.89271327329273 | 0.446356636646365 |
75 | 0.532762122010308 | 0.934475755979383 | 0.467237877989692 |
76 | 0.497792059069485 | 0.99558411813897 | 0.502207940930515 |
77 | 0.663497945339603 | 0.673004109320795 | 0.336502054660397 |
78 | 0.632510322134065 | 0.73497935573187 | 0.367489677865935 |
79 | 0.596079587356567 | 0.807840825286866 | 0.403920412643433 |
80 | 0.550056557404442 | 0.899886885191116 | 0.449943442595558 |
81 | 0.559925938025181 | 0.880148123949637 | 0.440074061974819 |
82 | 0.711607074825698 | 0.576785850348605 | 0.288392925174302 |
83 | 0.677932237775239 | 0.644135524449522 | 0.322067762224761 |
84 | 0.653435467736096 | 0.693129064527809 | 0.346564532263904 |
85 | 0.630926994169835 | 0.73814601166033 | 0.369073005830165 |
86 | 0.589880483893530 | 0.820239032212941 | 0.410119516106470 |
87 | 0.546337990976118 | 0.907324018047765 | 0.453662009023882 |
88 | 0.632733252950353 | 0.734533494099294 | 0.367266747049647 |
89 | 0.587448140875334 | 0.825103718249331 | 0.412551859124666 |
90 | 0.543968537860284 | 0.912062924279433 | 0.456031462139716 |
91 | 0.511257639908836 | 0.977484720182327 | 0.488742360091164 |
92 | 0.554485158738186 | 0.891029682523628 | 0.445514841261814 |
93 | 0.517222957388731 | 0.965554085222537 | 0.482777042611269 |
94 | 0.472653710734203 | 0.945307421468407 | 0.527346289265797 |
95 | 0.454513496408202 | 0.909026992816403 | 0.545486503591798 |
96 | 0.412435755054992 | 0.824871510109984 | 0.587564244945008 |
97 | 0.413720410321425 | 0.82744082064285 | 0.586279589678575 |
98 | 0.369891718757121 | 0.739783437514241 | 0.63010828124288 |
99 | 0.335607354931774 | 0.671214709863549 | 0.664392645068226 |
100 | 0.296577998195953 | 0.593155996391906 | 0.703422001804047 |
101 | 0.256453648091754 | 0.512907296183509 | 0.743546351908245 |
102 | 0.237556104187566 | 0.475112208375132 | 0.762443895812434 |
103 | 0.200942998485039 | 0.401885996970078 | 0.799057001514961 |
104 | 0.181595477622871 | 0.363190955245742 | 0.818404522377129 |
105 | 0.158707550647705 | 0.31741510129541 | 0.841292449352295 |
106 | 0.167046775198965 | 0.334093550397929 | 0.832953224801035 |
107 | 0.166380396706854 | 0.332760793413708 | 0.833619603293146 |
108 | 0.158847598483307 | 0.317695196966613 | 0.841152401516693 |
109 | 0.156399077164869 | 0.312798154329737 | 0.843600922835131 |
110 | 0.199630460600614 | 0.399260921201228 | 0.800369539399386 |
111 | 0.171521914328051 | 0.343043828656101 | 0.82847808567195 |
112 | 0.345764320114814 | 0.691528640229627 | 0.654235679885186 |
113 | 0.405465460602408 | 0.810930921204816 | 0.594534539397592 |
114 | 0.374330180067252 | 0.748660360134504 | 0.625669819932748 |
115 | 0.367888738057408 | 0.735777476114817 | 0.632111261942592 |
116 | 0.327246972285949 | 0.654493944571898 | 0.672753027714051 |
117 | 0.329008673321287 | 0.658017346642574 | 0.670991326678713 |
118 | 0.287877595467371 | 0.575755190934742 | 0.712122404532629 |
119 | 0.260283096540282 | 0.520566193080563 | 0.739716903459718 |
120 | 0.217012660512035 | 0.434025321024071 | 0.782987339487965 |
121 | 0.203100683036968 | 0.406201366073935 | 0.796899316963032 |
122 | 0.181240976574765 | 0.36248195314953 | 0.818759023425235 |
123 | 0.185090443596284 | 0.370180887192569 | 0.814909556403716 |
124 | 0.200209067941855 | 0.400418135883709 | 0.799790932058145 |
125 | 0.723947485280984 | 0.552105029438032 | 0.276052514719016 |
126 | 0.680929692253162 | 0.638140615493677 | 0.319070307746838 |
127 | 0.625275071556268 | 0.749449856887465 | 0.374724928443732 |
128 | 0.562348010854704 | 0.875303978290593 | 0.437651989145296 |
129 | 0.497716602182154 | 0.995433204364307 | 0.502283397817846 |
130 | 0.43431998970816 | 0.86863997941632 | 0.56568001029184 |
131 | 0.379134114736901 | 0.758268229473801 | 0.6208658852631 |
132 | 0.326860236335412 | 0.653720472670824 | 0.673139763664588 |
133 | 0.269520940495751 | 0.539041880991502 | 0.730479059504249 |
134 | 0.238643713635136 | 0.477287427270273 | 0.761356286364864 |
135 | 0.238829350733863 | 0.477658701467726 | 0.761170649266137 |
136 | 0.197887620191866 | 0.395775240383731 | 0.802112379808134 |
137 | 0.203971828744407 | 0.407943657488815 | 0.796028171255593 |
138 | 0.208335899438686 | 0.416671798877371 | 0.791664100561314 |
139 | 0.232037630659643 | 0.464075261319286 | 0.767962369340357 |
140 | 0.177179864214275 | 0.35435972842855 | 0.822820135785725 |
141 | 0.129925000857304 | 0.259850001714607 | 0.870074999142696 |
142 | 0.094955212459136 | 0.189910424918272 | 0.905044787540864 |
143 | 0.0966968206972833 | 0.193393641394567 | 0.903303179302717 |
144 | 0.0869216071763365 | 0.173843214352673 | 0.913078392823663 |
145 | 0.0959863740849664 | 0.191972748169933 | 0.904013625915034 |
146 | 0.305867826794157 | 0.611735653588314 | 0.694132173205843 |
147 | 0.202998205543034 | 0.405996411086068 | 0.797001794456966 |
148 | 0.122980635953368 | 0.245961271906737 | 0.877019364046631 |
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 | 0.0072463768115942 | OK |