Multiple Linear Regression - Estimated Regression Equation |
Learning[t] = + 13.2522145863475 + 0.0923250546673155Concern[t] -0.0427279901581466Doubts[t] -0.0293172689010877Expectations[t] -0.0197865743236952Critisism[t] -0.106730229334144Standards[t] + 0.139579173878108Organization[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) | 13.2522145863475 | 1.504009 | 8.8113 | 0 | 0 |
Concern | 0.0923250546673155 | 0.039774 | 2.3212 | 0.021603 | 0.010801 |
Doubts | -0.0427279901581466 | 0.071763 | -0.5954 | 0.552456 | 0.276228 |
Expectations | -0.0293172689010877 | 0.066075 | -0.4437 | 0.657893 | 0.328946 |
Critisism | -0.0197865743236952 | 0.083118 | -0.2381 | 0.812161 | 0.40608 |
Standards | -0.106730229334144 | 0.052239 | -2.0431 | 0.042768 | 0.021384 |
Organization | 0.139579173878108 | 0.050894 | 2.7425 | 0.006829 | 0.003415 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.28527509482277 |
R-squared | 0.0813818797261403 |
Adjusted R-squared | 0.0451206381363827 |
F-TEST (value) | 2.24432137892177 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 0.0419327428945955 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.20293550134255 |
Sum Squared Residuals | 737.644573107455 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 16 | 15.377428203164 | 0.622571796835987 |
2 | 19 | 15.2688848502365 | 3.73111514976348 |
3 | 15 | 14.1962588757634 | 0.80374112423664 |
4 | 14 | 15.1323110467088 | -1.13231104670877 |
5 | 13 | 14.3462945117006 | -1.34629451170062 |
6 | 19 | 15.5115533094782 | 3.48844669052183 |
7 | 15 | 15.0910231365047 | -0.0910231365047432 |
8 | 14 | 14.1956326705673 | -0.195632670567322 |
9 | 15 | 14.9964324073879 | 0.00356759261211682 |
10 | 16 | 15.0802466389080 | 0.919753361092036 |
11 | 16 | 15.4943721308662 | 0.505627869133822 |
12 | 16 | 15.3268390712721 | 0.673160928727901 |
13 | 16 | 15.9832996065879 | 0.0167003934120774 |
14 | 17 | 14.3358683436863 | 2.66413165631366 |
15 | 15 | 14.3022465127492 | 0.697753487250799 |
16 | 15 | 14.6967986274768 | 0.303201372523214 |
17 | 20 | 14.8080726661258 | 5.1919273338742 |
18 | 18 | 13.9952108084499 | 4.00478919155015 |
19 | 16 | 15.1218272945677 | 0.878172705432253 |
20 | 16 | 15.1368417328180 | 0.86315826718202 |
21 | 16 | 15.0798694599226 | 0.920130540077404 |
22 | 19 | 15.5125041062708 | 3.48749589372917 |
23 | 16 | 15.0421098862061 | 0.957890113793886 |
24 | 17 | 16.3538110064017 | 0.646188993598278 |
25 | 17 | 15.8292124626895 | 1.17078753731046 |
26 | 16 | 14.6648582357191 | 1.33514176428087 |
27 | 15 | 14.8373297285330 | 0.162670271466959 |
28 | 16 | 15.5693109740363 | 0.430689025963693 |
29 | 14 | 14.9004539014515 | -0.900453901451533 |
30 | 15 | 14.7996006164576 | 0.200399383542408 |
31 | 12 | 16.0377014398412 | -4.03770143984122 |
32 | 14 | 14.6073112914882 | -0.607311291488232 |
33 | 16 | 13.9732628832358 | 2.02673711676415 |
34 | 14 | 14.8023157929464 | -0.802315792946436 |
35 | 7 | 14.0236227821235 | -7.02362278212351 |
36 | 10 | 15.6742754972600 | -5.67427549725997 |
37 | 14 | 15.5286540365397 | -1.52865403653973 |
38 | 16 | 14.5743802826987 | 1.42561971730130 |
39 | 16 | 15.0110261256623 | 0.988973874337695 |
40 | 16 | 14.6724361725601 | 1.32756382743994 |
41 | 14 | 16.0182619796846 | -2.01826197968461 |
42 | 20 | 14.8523582099196 | 5.14764179008043 |
43 | 14 | 14.7673567859217 | -0.767356785921694 |
44 | 14 | 14.4112446960756 | -0.411244696075594 |
45 | 11 | 14.6553055310207 | -3.65530553102069 |
46 | 14 | 14.9984467322278 | -0.99844673222781 |
47 | 15 | 15.3209723546876 | -0.320972354687619 |
48 | 16 | 15.2527074964849 | 0.74729250351507 |
49 | 14 | 15.5343267145585 | -1.53432671455850 |
50 | 16 | 14.4035063079841 | 1.59649369201594 |
51 | 14 | 15.6383904217565 | -1.63839042175646 |
52 | 12 | 15.1279791945909 | -3.12797919459086 |
53 | 16 | 15.9349482386139 | 0.0650517613860827 |
54 | 9 | 14.3886856780754 | -5.38868567807539 |
55 | 14 | 13.9858228532050 | 0.0141771467949624 |
56 | 16 | 16.0733728526849 | -0.0733728526849043 |
57 | 16 | 15.3396377980656 | 0.660362201934421 |
58 | 15 | 14.4599717051683 | 0.540028294831744 |
59 | 16 | 15.3368039548818 | 0.663196045118234 |
60 | 12 | 14.1034719803858 | -2.10347198038577 |
61 | 16 | 14.8352560514755 | 1.16474394852448 |
62 | 16 | 15.0522915601785 | 0.947708439821472 |
63 | 14 | 15.2913983228153 | -1.29139832281525 |
64 | 16 | 14.7343590472365 | 1.26564095276351 |
65 | 17 | 14.5092090437565 | 2.49079095624346 |
66 | 18 | 15.9755830952166 | 2.02441690478340 |
67 | 18 | 16.2935199349910 | 1.70648006500895 |
68 | 12 | 14.1318680827179 | -2.1318680827179 |
69 | 16 | 14.5773890609484 | 1.42261093905161 |
70 | 10 | 14.9691488490518 | -4.96914884905182 |
71 | 14 | 15.9413161873238 | -1.94131618732378 |
72 | 18 | 15.1884634564070 | 2.81153654359298 |
73 | 18 | 15.7669184413230 | 2.23308155867696 |
74 | 16 | 15.2988838860584 | 0.70111611394156 |
75 | 17 | 15.5308592304150 | 1.46914076958496 |
76 | 16 | 15.2348691854691 | 0.765130814530894 |
77 | 16 | 14.6025490240880 | 1.39745097591204 |
78 | 13 | 15.0916190466583 | -2.09161904665835 |
79 | 16 | 15.6351902273082 | 0.364809772691838 |
80 | 16 | 15.2699503756012 | 0.73004962439877 |
81 | 20 | 15.2988907038860 | 4.70110929611403 |
82 | 16 | 15.9915596990592 | 0.00844030094082513 |
83 | 15 | 15.1817552301293 | -0.181755230129346 |
84 | 15 | 14.7715941524953 | 0.228405847504681 |
85 | 16 | 16.1847912960147 | -0.184791296014749 |
86 | 14 | 15.32874610633 | -1.32874610633000 |
87 | 16 | 14.9172522136361 | 1.08274778636389 |
88 | 16 | 15.2097512972237 | 0.790248702776306 |
89 | 15 | 14.7675175254820 | 0.232482474518029 |
90 | 12 | 15.2055462291260 | -3.20554622912597 |
91 | 17 | 16.0212260606730 | 0.978773939326954 |
92 | 16 | 14.9305934008049 | 1.06940659919505 |
93 | 15 | 15.2925263780727 | -0.292526378072747 |
94 | 13 | 14.7411258401995 | -1.74112584019952 |
95 | 16 | 15.6287858911462 | 0.371214108853806 |
96 | 16 | 15.0476010227839 | 0.952398977216122 |
97 | 16 | 16.0902670359112 | -0.090267035911169 |
98 | 16 | 15.2988554029631 | 0.701144597036892 |
99 | 14 | 15.1415439899500 | -1.14154398994997 |
100 | 16 | 15.0475289728128 | 0.952471027187227 |
101 | 16 | 14.7871535421160 | 1.21284645788398 |
102 | 20 | 14.7707560965866 | 5.22924390341344 |
103 | 15 | 14.0579321112798 | 0.94206788872024 |
104 | 16 | 14.7640238816421 | 1.23597611835787 |
105 | 13 | 16.1703347361151 | -3.17033473611508 |
106 | 17 | 14.8199999707771 | 2.18000002922290 |
107 | 16 | 14.8692399317325 | 1.13076006826751 |
108 | 16 | 14.5702869988116 | 1.42971300118842 |
109 | 12 | 14.8878353458285 | -2.88783534582852 |
110 | 16 | 15.0832311921507 | 0.916768807849265 |
111 | 16 | 14.7780842216846 | 1.22191577831542 |
112 | 17 | 16.2177330465255 | 0.782266953474543 |
113 | 13 | 14.5977670489683 | -1.59776704896826 |
114 | 12 | 13.1531697933760 | -1.15316979337598 |
115 | 18 | 13.4897260171415 | 4.51027398285853 |
116 | 14 | 15.0160995294844 | -1.01609952948437 |
117 | 14 | 13.3791892191095 | 0.620810780890483 |
118 | 13 | 14.4865574749015 | -1.48655747490150 |
119 | 16 | 15.3461460161102 | 0.65385398388977 |
120 | 13 | 14.7420596185223 | -1.74205961852228 |
121 | 16 | 15.4710219629883 | 0.528978037011681 |
122 | 13 | 14.0032970962407 | -1.00329709624071 |
123 | 16 | 14.040828414969 | 1.95917158503099 |
124 | 15 | 15.3555181860132 | -0.355518186013225 |
125 | 16 | 15.240391639993 | 0.759608360007 |
126 | 15 | 14.9410078052256 | 0.0589921947743524 |
127 | 17 | 14.9247826265099 | 2.07521737349013 |
128 | 15 | 15.2154582522641 | -0.215458252264068 |
129 | 12 | 15.2859884400631 | -3.28598844006306 |
130 | 16 | 15.9344603599183 | 0.0655396400816665 |
131 | 10 | 14.1654807098006 | -4.16548070980057 |
132 | 16 | 15.0582427102926 | 0.941757289707381 |
133 | 12 | 15.1900290208836 | -3.19002902088364 |
134 | 14 | 15.3337666935367 | -1.33376669353674 |
135 | 15 | 15.7562983412273 | -0.756298341227266 |
136 | 13 | 14.6087468770138 | -1.60874687701377 |
137 | 15 | 14.6517841457615 | 0.348215854238486 |
138 | 11 | 13.4153204682324 | -2.41532046823244 |
139 | 12 | 15.058595555758 | -3.05859555575799 |
140 | 8 | 13.8644917867719 | -5.86449178677194 |
141 | 16 | 14.4811529347381 | 1.51884706526189 |
142 | 15 | 14.8471707423442 | 0.152829257655816 |
143 | 17 | 12.9249350188131 | 4.07506498118689 |
144 | 16 | 15.3545324851204 | 0.645467514879553 |
145 | 10 | 14.5354775240592 | -4.53547752405919 |
146 | 18 | 15.2729679063679 | 2.72703209363208 |
147 | 13 | 15.0370151997097 | -2.03701519970971 |
148 | 16 | 14.8034164516378 | 1.19658354836216 |
149 | 13 | 14.5622041209489 | -1.56220412094892 |
150 | 10 | 14.9902132507904 | -4.99021325079041 |
151 | 15 | 14.5948064843922 | 0.405193515607761 |
152 | 16 | 15.3146740465502 | 0.685325953449797 |
153 | 16 | 16.4890094965522 | -0.489009496552171 |
154 | 14 | 14.0167283962363 | -0.0167283962363217 |
155 | 10 | 14.0151949172672 | -4.01519491726715 |
156 | 17 | 14.8406329567038 | 2.15936704329619 |
157 | 13 | 15.5467163713719 | -2.54671637137193 |
158 | 15 | 14.8129539201865 | 0.187046079813482 |
159 | 16 | 15.5341997190859 | 0.465800280914103 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.488556417715588 | 0.977112835431177 | 0.511443582284411 |
11 | 0.329962424612357 | 0.659924849224715 | 0.670037575387643 |
12 | 0.244954713264310 | 0.489909426528621 | 0.75504528673569 |
13 | 0.165446229031046 | 0.330892458062092 | 0.834553770968954 |
14 | 0.360704514634253 | 0.721409029268507 | 0.639295485365747 |
15 | 0.259413250458449 | 0.518826500916899 | 0.74058674954155 |
16 | 0.179103287177424 | 0.358206574354847 | 0.820896712822576 |
17 | 0.353465551156741 | 0.706931102313482 | 0.646534448843259 |
18 | 0.398076127500165 | 0.79615225500033 | 0.601923872499835 |
19 | 0.324586950054611 | 0.649173900109222 | 0.675413049945389 |
20 | 0.255910847337315 | 0.51182169467463 | 0.744089152662685 |
21 | 0.195843907068208 | 0.391687814136417 | 0.804156092931792 |
22 | 0.253299640490657 | 0.506599280981315 | 0.746700359509343 |
23 | 0.195371181602738 | 0.390742363205477 | 0.804628818397262 |
24 | 0.167258003581173 | 0.334516007162347 | 0.832741996418827 |
25 | 0.129545607431574 | 0.259091214863147 | 0.870454392568426 |
26 | 0.0989222742446379 | 0.197844548489276 | 0.901077725755362 |
27 | 0.0745832589969523 | 0.149166517993905 | 0.925416741003048 |
28 | 0.0537858834468016 | 0.107571766893603 | 0.946214116553198 |
29 | 0.049183422282424 | 0.098366844564848 | 0.950816577717576 |
30 | 0.0353403704879967 | 0.0706807409759934 | 0.964659629512003 |
31 | 0.132168766605320 | 0.264337533210641 | 0.86783123339468 |
32 | 0.106527560937318 | 0.213055121874635 | 0.893472439062682 |
33 | 0.083233913555106 | 0.166467827110212 | 0.916766086444894 |
34 | 0.0681092200381022 | 0.136218440076204 | 0.931890779961898 |
35 | 0.593698083212179 | 0.812603833575643 | 0.406301916787821 |
36 | 0.825667292678199 | 0.348665414643603 | 0.174332707321801 |
37 | 0.800845691395442 | 0.398308617209117 | 0.199154308604558 |
38 | 0.765703551293074 | 0.468592897413851 | 0.234296448706926 |
39 | 0.73575214838048 | 0.528495703239039 | 0.264247851619519 |
40 | 0.718421885548184 | 0.563156228903632 | 0.281578114451816 |
41 | 0.687203723215676 | 0.625592553568648 | 0.312796276784324 |
42 | 0.844639582866687 | 0.310720834266625 | 0.155360417133313 |
43 | 0.850618382483236 | 0.298763235033527 | 0.149381617516764 |
44 | 0.81929638592471 | 0.36140722815058 | 0.18070361407529 |
45 | 0.87673279203472 | 0.246534415930559 | 0.123267207965279 |
46 | 0.854717195345696 | 0.290565609308608 | 0.145282804654304 |
47 | 0.824891852301315 | 0.35021629539737 | 0.175108147698685 |
48 | 0.802258517598653 | 0.395482964802695 | 0.197741482401347 |
49 | 0.787331425987653 | 0.425337148024693 | 0.212668574012347 |
50 | 0.765285466972374 | 0.469429066055252 | 0.234714533027626 |
51 | 0.742066944329438 | 0.515866111341125 | 0.257933055670562 |
52 | 0.786506572057239 | 0.426986855885522 | 0.213493427942761 |
53 | 0.749461777749827 | 0.501076444500346 | 0.250538222250173 |
54 | 0.916439467509771 | 0.167121064980458 | 0.0835605324902288 |
55 | 0.903323239996905 | 0.193353520006190 | 0.0966767600030949 |
56 | 0.88111796838937 | 0.23776406322126 | 0.11888203161063 |
57 | 0.859894471403494 | 0.280211057193011 | 0.140105528596506 |
58 | 0.832268944747529 | 0.335462110504943 | 0.167731055252471 |
59 | 0.810413699480358 | 0.379172601039284 | 0.189586300519642 |
60 | 0.816199342473288 | 0.367601315053423 | 0.183800657526712 |
61 | 0.792514150119388 | 0.414971699761224 | 0.207485849880612 |
62 | 0.762617471262455 | 0.474765057475089 | 0.237382528737545 |
63 | 0.735344188744165 | 0.52931162251167 | 0.264655811255835 |
64 | 0.710828824210725 | 0.578342351578549 | 0.289171175789275 |
65 | 0.720267041441244 | 0.559465917117513 | 0.279732958558756 |
66 | 0.71920007211688 | 0.561599855766239 | 0.280799927883119 |
67 | 0.698423735765447 | 0.603152528469105 | 0.301576264234553 |
68 | 0.6965008386479 | 0.606998322704199 | 0.303499161352099 |
69 | 0.672630832663763 | 0.654738334672474 | 0.327369167336237 |
70 | 0.818090192269689 | 0.363819615460623 | 0.181909807730311 |
71 | 0.813943728940954 | 0.372112542118092 | 0.186056271059046 |
72 | 0.83009113317227 | 0.339817733655461 | 0.169908866827730 |
73 | 0.828369005659964 | 0.343261988680073 | 0.171630994340036 |
74 | 0.799897939868001 | 0.400204120263998 | 0.200102060131999 |
75 | 0.778953263882348 | 0.442093472235303 | 0.221046736117652 |
76 | 0.746945748019325 | 0.50610850396135 | 0.253054251980675 |
77 | 0.722177463471115 | 0.555645073057769 | 0.277822536528885 |
78 | 0.718531738247402 | 0.562936523505196 | 0.281468261752598 |
79 | 0.678823865490028 | 0.642352269019943 | 0.321176134509972 |
80 | 0.63943247217795 | 0.7211350556441 | 0.36056752782205 |
81 | 0.779851419433708 | 0.440297161132583 | 0.220148580566292 |
82 | 0.744915802882577 | 0.510168394234846 | 0.255084197117423 |
83 | 0.706740700817222 | 0.586518598365555 | 0.293259299182778 |
84 | 0.666202437129621 | 0.667595125740758 | 0.333797562870379 |
85 | 0.622480758725619 | 0.755038482548762 | 0.377519241274381 |
86 | 0.593744772361577 | 0.812510455276845 | 0.406255227638423 |
87 | 0.558375877923186 | 0.883248244153629 | 0.441624122076814 |
88 | 0.519988425951628 | 0.960023148096744 | 0.480011574048372 |
89 | 0.476174100857689 | 0.952348201715377 | 0.523825899142311 |
90 | 0.525079203213106 | 0.949841593573788 | 0.474920796786894 |
91 | 0.489884941219415 | 0.97976988243883 | 0.510115058780585 |
92 | 0.455502283521237 | 0.911004567042474 | 0.544497716478763 |
93 | 0.408922996870666 | 0.817845993741331 | 0.591077003129334 |
94 | 0.392009119818521 | 0.784018239637042 | 0.607990880181479 |
95 | 0.353464518536353 | 0.706929037072706 | 0.646535481463647 |
96 | 0.323191459968426 | 0.646382919936851 | 0.676808540031574 |
97 | 0.282981879956985 | 0.565963759913971 | 0.717018120043015 |
98 | 0.252851152789222 | 0.505702305578444 | 0.747148847210778 |
99 | 0.223707032988589 | 0.447414065977177 | 0.776292967011411 |
100 | 0.196127253372990 | 0.392254506745980 | 0.80387274662701 |
101 | 0.176693429131554 | 0.353386858263107 | 0.823306570868446 |
102 | 0.359777043480455 | 0.719554086960911 | 0.640222956519545 |
103 | 0.326323622230001 | 0.652647244460002 | 0.673676377769999 |
104 | 0.310793192153489 | 0.621586384306979 | 0.68920680784651 |
105 | 0.331057275310586 | 0.662114550621172 | 0.668942724689414 |
106 | 0.322081385626516 | 0.644162771253031 | 0.677918614373484 |
107 | 0.295156255332109 | 0.590312510664219 | 0.70484374466789 |
108 | 0.282632411438968 | 0.565264822877937 | 0.717367588561032 |
109 | 0.303616352164521 | 0.607232704329043 | 0.696383647835479 |
110 | 0.270166011365103 | 0.540332022730207 | 0.729833988634897 |
111 | 0.259405898793114 | 0.518811797586228 | 0.740594101206886 |
112 | 0.262656386507563 | 0.525312773015125 | 0.737343613492437 |
113 | 0.233885366643656 | 0.467770733287312 | 0.766114633356344 |
114 | 0.209512640443392 | 0.419025280886785 | 0.790487359556608 |
115 | 0.428182198514553 | 0.856364397029105 | 0.571817801485447 |
116 | 0.379995527617288 | 0.759991055234577 | 0.620004472382712 |
117 | 0.354168503447041 | 0.708337006894081 | 0.645831496552959 |
118 | 0.318714306341284 | 0.637428612682568 | 0.681285693658716 |
119 | 0.276915474633958 | 0.553830949267916 | 0.723084525366042 |
120 | 0.278356125379673 | 0.556712250759345 | 0.721643874620327 |
121 | 0.235338616521556 | 0.470677233043111 | 0.764661383478444 |
122 | 0.201671913328553 | 0.403343826657105 | 0.798328086671448 |
123 | 0.211920158132045 | 0.42384031626409 | 0.788079841867955 |
124 | 0.189725853117546 | 0.379451706235093 | 0.810274146882454 |
125 | 0.153789732316692 | 0.307579464633384 | 0.846210267683308 |
126 | 0.123240741148366 | 0.246481482296732 | 0.876759258851634 |
127 | 0.163889277854082 | 0.327778555708163 | 0.836110722145919 |
128 | 0.148976475124514 | 0.297952950249028 | 0.851023524875486 |
129 | 0.136757978892567 | 0.273515957785134 | 0.863242021107433 |
130 | 0.105713553848620 | 0.211427107697240 | 0.89428644615138 |
131 | 0.127803980303434 | 0.255607960606868 | 0.872196019696566 |
132 | 0.129280138753374 | 0.258560277506748 | 0.870719861246626 |
133 | 0.114209432839598 | 0.228418865679197 | 0.885790567160402 |
134 | 0.0865045497282974 | 0.173009099456595 | 0.913495450271703 |
135 | 0.0645729241076109 | 0.129145848215222 | 0.935427075892389 |
136 | 0.0516684413210905 | 0.103336882642181 | 0.94833155867891 |
137 | 0.0356159301691033 | 0.0712318603382067 | 0.964384069830897 |
138 | 0.0385242260661448 | 0.0770484521322896 | 0.961475773933855 |
139 | 0.0285621330350841 | 0.0571242660701683 | 0.971437866964916 |
140 | 0.161779187544235 | 0.32355837508847 | 0.838220812455765 |
141 | 0.127376440574270 | 0.254752881148539 | 0.87262355942573 |
142 | 0.087777971316509 | 0.175555942633018 | 0.912222028683491 |
143 | 0.254037718371909 | 0.508075436743818 | 0.745962281628091 |
144 | 0.209567748517625 | 0.419135497035251 | 0.790432251482375 |
145 | 0.293337620908569 | 0.586675241817138 | 0.706662379091431 |
146 | 0.226617775671976 | 0.453235551343951 | 0.773382224328024 |
147 | 0.149224202627937 | 0.298448405255874 | 0.850775797372063 |
148 | 0.108685827584711 | 0.217371655169421 | 0.89131417241529 |
149 | 0.0677526445897472 | 0.135505289179494 | 0.932247355410253 |
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 | 5 | 0.0357142857142857 | OK |