Multiple Linear Regression - Estimated Regression Equation |
ConcernoverMistakes[t] = -20.5406175778355 + 1.85205065543316month[t] + 0.800753683595022Doubtsaboutactions[t] + 0.233892111076656ParentalExpectations[t] + 0.208449774615658ParentalCriticism[t] + 0.571250810176502PersonalStandards[t] -0.108334921483046Organization[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) | -20.5406175778355 | 19.256187 | -1.0667 | 0.287798 | 0.143899 |
month | 1.85205065543316 | 1.896285 | 0.9767 | 0.330283 | 0.165141 |
Doubtsaboutactions | 0.800753683595022 | 0.130707 | 6.1263 | 0 | 0 |
ParentalExpectations | 0.233892111076656 | 0.133964 | 1.7459 | 0.082844 | 0.041422 |
ParentalCriticism | 0.208449774615658 | 0.169517 | 1.2297 | 0.22072 | 0.11036 |
PersonalStandards | 0.571250810176502 | 0.095975 | 5.9521 | 0 | 0 |
Organization | -0.108334921483046 | 0.103317 | -1.0486 | 0.296039 | 0.148019 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.64099331025021 |
R-squared | 0.410872423785522 |
Adjusted R-squared | 0.387617387882319 |
F-TEST (value) | 17.6681053297763 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 1.77635683940025e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.47838506122403 |
Sum Squared Residuals | 3048.50177900237 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 23.3059118943018 | 0.694088105698213 |
2 | 25 | 20.0305388753726 | 4.96946112462742 |
3 | 17 | 21.0052757760804 | -4.00527577608043 |
4 | 18 | 18.1054640311386 | -0.105464031138574 |
5 | 18 | 17.7257754099891 | 0.274224590010878 |
6 | 16 | 17.8270340131174 | -1.82703401311742 |
7 | 20 | 20.9669353500886 | -0.96693535008862 |
8 | 16 | 22.5176755215724 | -6.51767552157242 |
9 | 18 | 22.3856971696195 | -4.3856971696195 |
10 | 17 | 20.5758193389779 | -3.57581933897792 |
11 | 23 | 22.4193009914529 | 0.580699008547053 |
12 | 30 | 22.3194415096782 | 7.6805584903218 |
13 | 23 | 15.2286232932766 | 7.77137670672336 |
14 | 18 | 19.1104416279066 | -1.11044162790658 |
15 | 15 | 21.7839912762424 | -6.7839912762424 |
16 | 12 | 17.9154785487290 | -5.91547854872898 |
17 | 21 | 19.5685684943043 | 1.43143150569570 |
18 | 15 | 15.3238221486993 | -0.323822148699278 |
19 | 20 | 19.788712464159 | 0.211287535840979 |
20 | 31 | 26.4316241603005 | 4.56837583969953 |
21 | 27 | 25.3037907067212 | 1.69620929327880 |
22 | 34 | 27.1245220182142 | 6.87547798178583 |
23 | 21 | 19.7497407961377 | 1.25025920386235 |
24 | 31 | 20.9877712435853 | 10.0122287564147 |
25 | 19 | 19.4202293168146 | -0.420229316814625 |
26 | 16 | 20.3090786014135 | -4.30907860141353 |
27 | 20 | 21.6269845815146 | -1.62698458151458 |
28 | 21 | 18.3570448221492 | 2.64295517785077 |
29 | 22 | 22.0233101277448 | -0.0233101277447521 |
30 | 17 | 19.5537828503148 | -2.55378285031481 |
31 | 24 | 20.4827109912344 | 3.51728900876556 |
32 | 25 | 30.5896852562428 | -5.58968525624278 |
33 | 26 | 26.6567312769232 | -0.656731276923215 |
34 | 25 | 24.2234250890577 | 0.776574910942284 |
35 | 17 | 23.045122891964 | -6.045122891964 |
36 | 32 | 27.8972410979597 | 4.10275890204028 |
37 | 33 | 23.7555615557403 | 9.2444384442597 |
38 | 13 | 21.9687976203882 | -8.96879762038819 |
39 | 32 | 27.9120428867192 | 4.08795711328085 |
40 | 25 | 25.9293572358744 | -0.92935723587439 |
41 | 29 | 27.0874697124605 | 1.91253028753948 |
42 | 22 | 22.1267767157679 | -0.126776715767942 |
43 | 18 | 17.3192233527807 | 0.680776647219285 |
44 | 17 | 21.7607618394586 | -4.76076183945862 |
45 | 20 | 22.3547629906172 | -2.35476299061719 |
46 | 15 | 20.5459877648588 | -5.54598776485879 |
47 | 20 | 22.2319043156402 | -2.23190431564015 |
48 | 33 | 28.2261560042653 | 4.77384399573473 |
49 | 29 | 22.251296402594 | 6.748703597406 |
50 | 23 | 26.6319917607078 | -3.63199176070780 |
51 | 26 | 23.3339380863289 | 2.66606191367114 |
52 | 18 | 19.0572045568099 | -1.05720455680992 |
53 | 20 | 18.8533677442963 | 1.14663225570374 |
54 | 11 | 11.8569662519076 | -0.856966251907644 |
55 | 28 | 29.1391504790434 | -1.13915047904336 |
56 | 26 | 23.4322971143043 | 2.56770288569571 |
57 | 22 | 22.3892075268383 | -0.389207526838316 |
58 | 17 | 20.2377578196325 | -3.23775781963249 |
59 | 12 | 15.5903486600183 | -3.59034866001829 |
60 | 14 | 20.9635424700856 | -6.96354247008556 |
61 | 17 | 20.8710718404720 | -3.87107184047204 |
62 | 21 | 21.3887032327798 | -0.388703232779788 |
63 | 19 | 22.9992127997300 | -3.99921279972996 |
64 | 18 | 23.2468530520286 | -5.24685305202855 |
65 | 10 | 17.9645501066114 | -7.96455010661136 |
66 | 29 | 24.3941848397898 | 4.60581516021023 |
67 | 31 | 18.5938095723147 | 12.4061904276853 |
68 | 19 | 23.0436062933947 | -4.04360629339472 |
69 | 9 | 20.1246989779693 | -11.1246989779693 |
70 | 20 | 22.6014881321463 | -2.60148813214627 |
71 | 28 | 17.6934201313888 | 10.3065798686112 |
72 | 19 | 18.2554133704473 | 0.744586629552658 |
73 | 30 | 23.1781656827485 | 6.82183431725153 |
74 | 29 | 27.141265190523 | 1.85873480947699 |
75 | 26 | 21.5186496600315 | 4.48135033996846 |
76 | 23 | 19.6117121946776 | 3.38828780532242 |
77 | 13 | 22.7696306151473 | -9.76963061514733 |
78 | 21 | 22.7069504145405 | -1.70695041454046 |
79 | 19 | 21.5925083983795 | -2.59250839837945 |
80 | 28 | 22.9773775695174 | 5.0226224304826 |
81 | 23 | 25.6717631113499 | -2.67176311134987 |
82 | 18 | 13.9193783112761 | 4.0806216887239 |
83 | 21 | 20.7675259412847 | 0.232474058715270 |
84 | 20 | 21.8939221074588 | -1.89392210745884 |
85 | 23 | 20.0325488218293 | 2.96745117817070 |
86 | 21 | 20.8145797835144 | 0.185420216485572 |
87 | 21 | 21.8549708563638 | -0.854970856363823 |
88 | 15 | 22.9601236544928 | -7.96012365449284 |
89 | 28 | 27.2899074036207 | 0.710092596379342 |
90 | 19 | 17.6895099895324 | 1.31049001046759 |
91 | 26 | 21.2437539562323 | 4.75624604376766 |
92 | 10 | 13.3592202085389 | -3.35922020853889 |
93 | 16 | 17.1550179477001 | -1.15501794770007 |
94 | 22 | 21.1473255205123 | 0.852674479487721 |
95 | 19 | 18.9152072305154 | 0.0847927694845566 |
96 | 31 | 28.8638754075329 | 2.13612459246710 |
97 | 31 | 25.230379417261 | 5.769620582739 |
98 | 29 | 24.8223758205617 | 4.17762417943829 |
99 | 19 | 17.4600071161139 | 1.53999288388611 |
100 | 22 | 18.9197725283673 | 3.08022747163268 |
101 | 23 | 22.4440405076684 | 0.555959492331634 |
102 | 15 | 16.2213007844847 | -1.22130078448470 |
103 | 20 | 21.4067774452657 | -1.40677744526569 |
104 | 18 | 19.5916965986423 | -1.59169659864227 |
105 | 23 | 22.1310549953480 | 0.868945004652039 |
106 | 25 | 20.8917425925028 | 4.10825740749719 |
107 | 21 | 16.6248088962977 | 4.37519110370226 |
108 | 24 | 19.5405088901123 | 4.4594911098877 |
109 | 25 | 25.2842542064876 | -0.28425420648761 |
110 | 17 | 19.5415733289438 | -2.54157332894384 |
111 | 13 | 14.5909200347790 | -1.59092003477896 |
112 | 28 | 18.3120659854546 | 9.68793401454535 |
113 | 21 | 20.3272159802936 | 0.672784019706407 |
114 | 25 | 28.2402549727791 | -3.24025497277913 |
115 | 9 | 21.0230657884603 | -12.0230657884603 |
116 | 16 | 17.8649936604446 | -1.86499366044458 |
117 | 19 | 21.1927565169446 | -2.19275651694460 |
118 | 17 | 19.5105598387774 | -2.51055983877741 |
119 | 25 | 24.5423498928072 | 0.457650107192842 |
120 | 20 | 15.5110220361322 | 4.4889779638678 |
121 | 29 | 21.7283761640027 | 7.27162383599734 |
122 | 14 | 19.0319382805427 | -5.03193828054267 |
123 | 22 | 26.9807843689066 | -4.98078436890655 |
124 | 15 | 15.7566129258641 | -0.756612925864103 |
125 | 19 | 25.4706403155968 | -6.47064031559684 |
126 | 20 | 21.9365074008663 | -1.93650740086629 |
127 | 15 | 17.5261183627755 | -2.52611836277546 |
128 | 20 | 21.9219024004867 | -1.92190240048672 |
129 | 18 | 20.3175223942078 | -2.31752239420782 |
130 | 33 | 25.5749999931078 | 7.42500000689216 |
131 | 22 | 23.8817153183514 | -1.88171531835137 |
132 | 16 | 16.5259552703765 | -0.525955270376549 |
133 | 17 | 19.1237948992732 | -2.12379489927320 |
134 | 16 | 15.1155579324758 | 0.884442067524158 |
135 | 21 | 17.1100391110055 | 3.88996088899452 |
136 | 26 | 27.6211796228832 | -1.62117962288317 |
137 | 18 | 21.1341578075379 | -3.13415780753787 |
138 | 18 | 23.0934916296008 | -5.0934916296008 |
139 | 17 | 18.4649006478306 | -1.46490064783056 |
140 | 22 | 24.8487332677922 | -2.84873326779221 |
141 | 30 | 24.7935972513542 | 5.20640274864582 |
142 | 30 | 27.3647178144344 | 2.63528218556562 |
143 | 24 | 29.8857645038554 | -5.88576450385543 |
144 | 21 | 22.0669167791498 | -1.06691677914980 |
145 | 21 | 25.4142006337394 | -4.41420063373936 |
146 | 29 | 27.4391935427261 | 1.56080645727388 |
147 | 31 | 23.2617927349301 | 7.7382072650699 |
148 | 20 | 19.0482023570498 | 0.95179764295021 |
149 | 16 | 14.1735795557976 | 1.82642044420244 |
150 | 22 | 19.0032235203552 | 2.99677647964479 |
151 | 20 | 20.5031787470075 | -0.503178747007479 |
152 | 28 | 27.3118012168112 | 0.688198783188795 |
153 | 38 | 26.583623023071 | 11.416376976929 |
154 | 22 | 19.2656066671755 | 2.73439333282454 |
155 | 20 | 25.7191898021532 | -5.71918980215318 |
156 | 17 | 18.0567002627514 | -1.05670026275140 |
157 | 28 | 24.5408332942379 | 3.45916670576212 |
158 | 22 | 24.1667158267939 | -2.16671582679388 |
159 | 31 | 26.1156597616631 | 4.8843402383369 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.0970670411834892 | 0.194134082366978 | 0.90293295881651 |
11 | 0.352393731523614 | 0.704787463047228 | 0.647606268476386 |
12 | 0.74156617788104 | 0.516867644237921 | 0.258433822118961 |
13 | 0.754697183161802 | 0.490605633676397 | 0.245302816838198 |
14 | 0.725448476799824 | 0.549103046400353 | 0.274551523200176 |
15 | 0.722233126029996 | 0.555533747940007 | 0.277766873970004 |
16 | 0.652328725037223 | 0.695342549925554 | 0.347671274962777 |
17 | 0.572386757170525 | 0.85522648565895 | 0.427613242829475 |
18 | 0.541859497637909 | 0.916281004724183 | 0.458140502362091 |
19 | 0.474676882035404 | 0.949353764070808 | 0.525323117964596 |
20 | 0.505842719187053 | 0.988314561625894 | 0.494157280812947 |
21 | 0.459536798899327 | 0.919073597798655 | 0.540463201100673 |
22 | 0.461502265611502 | 0.923004531223005 | 0.538497734388498 |
23 | 0.395967432341981 | 0.791934864683963 | 0.604032567658019 |
24 | 0.650396796150225 | 0.699206407699549 | 0.349603203849775 |
25 | 0.581470407835877 | 0.837059184328246 | 0.418529592164123 |
26 | 0.55296922089467 | 0.894061558210659 | 0.447030779105330 |
27 | 0.489233382874032 | 0.978466765748064 | 0.510766617125968 |
28 | 0.439443819618758 | 0.878887639237516 | 0.560556180381242 |
29 | 0.375597317633609 | 0.751194635267219 | 0.624402682366391 |
30 | 0.320272790689224 | 0.640545581378449 | 0.679727209310776 |
31 | 0.362962080075657 | 0.725924160151314 | 0.637037919924343 |
32 | 0.438468280861996 | 0.876936561723991 | 0.561531719138004 |
33 | 0.392390874340821 | 0.784781748681642 | 0.607609125659179 |
34 | 0.386176222459661 | 0.772352444919322 | 0.613823777540339 |
35 | 0.402482234718931 | 0.804964469437862 | 0.597517765281069 |
36 | 0.383170354519848 | 0.766340709039697 | 0.616829645480152 |
37 | 0.539788976030688 | 0.920422047938623 | 0.460211023969312 |
38 | 0.737672203095431 | 0.524655593809138 | 0.262327796904569 |
39 | 0.728582167918444 | 0.542835664163112 | 0.271417832081556 |
40 | 0.686842139765152 | 0.626315720469695 | 0.313157860234848 |
41 | 0.657662002555665 | 0.684675994888669 | 0.342337997444335 |
42 | 0.605746714932371 | 0.788506570135258 | 0.394253285067629 |
43 | 0.556564012347508 | 0.886871975304983 | 0.443435987652492 |
44 | 0.54185576836344 | 0.91628846327312 | 0.45814423163656 |
45 | 0.515587584987365 | 0.96882483002527 | 0.484412415012635 |
46 | 0.546926613300941 | 0.906146773398119 | 0.453073386699059 |
47 | 0.506503583740721 | 0.986992832518558 | 0.493496416259279 |
48 | 0.491527670012513 | 0.983055340025027 | 0.508472329987487 |
49 | 0.547042409487488 | 0.905915181025023 | 0.452957590512512 |
50 | 0.522499161639747 | 0.955001676720506 | 0.477500838360253 |
51 | 0.485541443518318 | 0.971082887036636 | 0.514458556481682 |
52 | 0.436830760327895 | 0.87366152065579 | 0.563169239672105 |
53 | 0.394804059908958 | 0.789608119817916 | 0.605195940091042 |
54 | 0.350259686286477 | 0.700519372572954 | 0.649740313713523 |
55 | 0.311852434600522 | 0.623704869201044 | 0.688147565399478 |
56 | 0.282223187865935 | 0.56444637573187 | 0.717776812134065 |
57 | 0.241965379222739 | 0.483930758445478 | 0.758034620777261 |
58 | 0.220249249740723 | 0.440498499481446 | 0.779750750259277 |
59 | 0.206116926157581 | 0.412233852315163 | 0.793883073842419 |
60 | 0.258733346736539 | 0.517466693473079 | 0.74126665326346 |
61 | 0.252500930293199 | 0.505001860586397 | 0.747499069706801 |
62 | 0.216592098711133 | 0.433184197422265 | 0.783407901288867 |
63 | 0.205460321136168 | 0.410920642272335 | 0.794539678863832 |
64 | 0.246312726510432 | 0.492625453020864 | 0.753687273489568 |
65 | 0.321923587485327 | 0.643847174970654 | 0.678076412514673 |
66 | 0.320250691587816 | 0.640501383175632 | 0.679749308412184 |
67 | 0.642022353647023 | 0.715955292705953 | 0.357977646352977 |
68 | 0.63720012517777 | 0.72559974964446 | 0.36279987482223 |
69 | 0.826601996467502 | 0.346796007064996 | 0.173398003532498 |
70 | 0.806821968698155 | 0.386356062603690 | 0.193178031301845 |
71 | 0.91941616535811 | 0.16116766928378 | 0.08058383464189 |
72 | 0.900975203372913 | 0.198049593254174 | 0.0990247966270872 |
73 | 0.925424652008945 | 0.149150695982111 | 0.0745753479910554 |
74 | 0.91183008782475 | 0.176339824350499 | 0.0881699121752496 |
75 | 0.913533321913399 | 0.172933356173203 | 0.0864666780866014 |
76 | 0.90561310271734 | 0.188773794565321 | 0.0943868972826603 |
77 | 0.96270940944963 | 0.0745811811007389 | 0.0372905905503694 |
78 | 0.953936011198765 | 0.0921279776024695 | 0.0460639888012347 |
79 | 0.945625289630345 | 0.10874942073931 | 0.054374710369655 |
80 | 0.948571897875523 | 0.102856204248954 | 0.0514281021244768 |
81 | 0.93991598590597 | 0.120168028188062 | 0.060084014094031 |
82 | 0.938515674949129 | 0.122968650101742 | 0.061484325050871 |
83 | 0.923338531636765 | 0.153322936726471 | 0.0766614683632353 |
84 | 0.90882303667518 | 0.18235392664964 | 0.09117696332482 |
85 | 0.898561577993249 | 0.202876844013503 | 0.101438422006751 |
86 | 0.881092730286874 | 0.237814539426252 | 0.118907269713126 |
87 | 0.857342437349597 | 0.285315125300805 | 0.142657562650403 |
88 | 0.90926576745457 | 0.181468465090858 | 0.0907342325454292 |
89 | 0.89123239772767 | 0.217535204544659 | 0.108767602272329 |
90 | 0.86929129928284 | 0.261417401434320 | 0.130708700717160 |
91 | 0.871560538888933 | 0.256878922222135 | 0.128439461111067 |
92 | 0.860819427534191 | 0.278361144931617 | 0.139180572465809 |
93 | 0.837228729993419 | 0.325542540013162 | 0.162771270006581 |
94 | 0.807972735470317 | 0.384054529059365 | 0.192027264529683 |
95 | 0.773282094046861 | 0.453435811906278 | 0.226717905953139 |
96 | 0.742048450518324 | 0.515903098963352 | 0.257951549481676 |
97 | 0.762131802224181 | 0.475736395551638 | 0.237868197775819 |
98 | 0.75606062493066 | 0.48787875013868 | 0.24393937506934 |
99 | 0.719275137739433 | 0.561449724521133 | 0.280724862260567 |
100 | 0.693707554077025 | 0.612584891845951 | 0.306292445922975 |
101 | 0.649913424931441 | 0.700173150137117 | 0.350086575068559 |
102 | 0.610430415302474 | 0.779139169395052 | 0.389569584697526 |
103 | 0.570858211782588 | 0.858283576434824 | 0.429141788217412 |
104 | 0.528404565927371 | 0.943190868145257 | 0.471595434072629 |
105 | 0.481823890237935 | 0.96364778047587 | 0.518176109762065 |
106 | 0.462415919556106 | 0.924831839112212 | 0.537584080443894 |
107 | 0.457827969709525 | 0.91565593941905 | 0.542172030290475 |
108 | 0.467894611120809 | 0.935789222241619 | 0.53210538887919 |
109 | 0.418048471439914 | 0.83609694287983 | 0.581951528560086 |
110 | 0.394670984620236 | 0.789341969240473 | 0.605329015379764 |
111 | 0.355851640083466 | 0.711703280166933 | 0.644148359916534 |
112 | 0.575223439591521 | 0.849553120816957 | 0.424776560408479 |
113 | 0.567343870842545 | 0.86531225831491 | 0.432656129157455 |
114 | 0.539389429135855 | 0.921221141728289 | 0.460610570864145 |
115 | 0.757170297981752 | 0.485659404036497 | 0.242829702018248 |
116 | 0.732994701241805 | 0.53401059751639 | 0.267005298758195 |
117 | 0.720593949600064 | 0.558812100799872 | 0.279406050399936 |
118 | 0.691732727760039 | 0.616534544479923 | 0.308267272239961 |
119 | 0.640849052583183 | 0.718301894833634 | 0.359150947416817 |
120 | 0.649751710913055 | 0.700496578173889 | 0.350248289086945 |
121 | 0.702047164437651 | 0.595905671124697 | 0.297952835562349 |
122 | 0.706619746256259 | 0.586760507487482 | 0.293380253743741 |
123 | 0.712383551522526 | 0.575232896954948 | 0.287616448477474 |
124 | 0.659179031869674 | 0.681641936260653 | 0.340820968130326 |
125 | 0.705189245566205 | 0.58962150886759 | 0.294810754433795 |
126 | 0.675340670345473 | 0.649318659309054 | 0.324659329654527 |
127 | 0.663677575151714 | 0.672644849696571 | 0.336322424848286 |
128 | 0.627186208535115 | 0.74562758292977 | 0.372813791464885 |
129 | 0.599799802557953 | 0.800400394884094 | 0.400200197442047 |
130 | 0.670663902252595 | 0.65867219549481 | 0.329336097747405 |
131 | 0.61297507122568 | 0.774049857548639 | 0.387024928774320 |
132 | 0.548631249414214 | 0.902737501171572 | 0.451368750585786 |
133 | 0.546504527371684 | 0.906990945256632 | 0.453495472628316 |
134 | 0.485063485107997 | 0.970126970215995 | 0.514936514892003 |
135 | 0.442524241104513 | 0.885048482209025 | 0.557475758895487 |
136 | 0.41362928955152 | 0.82725857910304 | 0.58637071044848 |
137 | 0.417216958397858 | 0.834433916795716 | 0.582783041602142 |
138 | 0.457091421954854 | 0.914182843909709 | 0.542908578045145 |
139 | 0.389298744105466 | 0.778597488210933 | 0.610701255894534 |
140 | 0.317194646521706 | 0.634389293043413 | 0.682805353478294 |
141 | 0.419416128333852 | 0.838832256667705 | 0.580583871666148 |
142 | 0.365062614194955 | 0.730125228389909 | 0.634937385805045 |
143 | 0.296876857386553 | 0.593753714773106 | 0.703123142613447 |
144 | 0.222858355679169 | 0.445716711358338 | 0.777141644320831 |
145 | 0.266401707577565 | 0.53280341515513 | 0.733598292422435 |
146 | 0.183729503285999 | 0.367459006571999 | 0.816270496714 |
147 | 0.238719425674762 | 0.477438851349525 | 0.761280574325238 |
148 | 0.147579571272891 | 0.295159142545783 | 0.852420428727109 |
149 | 0.0789849424412949 | 0.157969884882590 | 0.921015057558705 |
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 | 2 | 0.0142857142857143 | OK |