Multiple Linear Regression - Estimated Regression Equation
TotaleMotivatie [t] = -17.4611169237435 -1.70969896505393Pop[t] + 0.715234976636848Gender[t] + 0.096653943965633Happiness[t] + 0.334392934710763Depression[t] + 0.87259328201138I1[t] + 1.08065320213306I2[t] + 0.965844182688753I3[t] + 1.53093629880875E1[t] + 0.980166590737826E2[t] + 0.834917466193323E3[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-17.461116923743511.112986-1.57120.1182210.059111
Pop-1.709698965053934.890024-0.34960.7271040.363552
Gender0.7152349766368481.6336430.43780.6621450.331073
Happiness0.0966539439656330.3868190.24990.8030290.401514
Depression0.3343929347107630.2888361.15770.2488030.124402
I10.872593282011380.3011422.89760.004320.00216
I21.080653202133060.2719693.97340.0001095.5e-05
I30.9658441826887530.1982664.87153e-061e-06
E11.530936298808750.2923865.2361e-060
E20.9801665907378260.226854.32082.8e-051.4e-05
E30.8349174661933230.2357483.54160.0005290.000265


Multiple Linear Regression - Regression Statistics
Multiple R0.866427473942803
R-squared0.750696567602907
Adjusted R-squared0.734186406517007
F-TEST (value)45.4687609464942
F-TEST (DF numerator)10
F-TEST (DF denominator)151
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation9.48838606764833
Sum Squared Residuals13594.4499954802


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1127123.6516285710323.34837142896806
2108106.2961445135461.70385548645353
3110109.8079385754940.192061424506283
4102101.3925538332360.60744616676405
5104108.966026330888-4.96602633088834
6140139.465929330930.534070669070478
7112114.28078042077-2.28078042076979
8115117.654965256734-2.65496525673362
9121118.3095739683242.6904260316762
10112109.4082936229142.59170637708583
11118114.630576494413.36942350558963
12122119.24772684372.75227315630004
13105105.102231686165-0.102231686164574
14111111.740507603085-0.740507603085309
15151149.3803120906491.61968790935123
16106107.36674072436-1.36674072436019
1710097.94443653777532.05556346222469
18149146.8422096268792.15779037312072
19122120.365888543511.63411145648981
20115116.861372626863-1.86137262686265
218681.59694452669294.4030554733071
22124123.8185683852640.181431614735964
236966.09109863732922.90890136267079
24117116.1536712179130.84632878208696
25113112.3443219939230.655678006076705
26123120.0180785801292.98192141987078
27123121.363442057311.63655794268983
288480.05067070417453.94932929582549
299788.73968208858718.26031791141293
30121118.8640092382622.13599076173784
31132129.1636734852532.83632651474738
32119117.2939285986971.70607140130332
3398104.724426847357-6.72442684735705
348788.8657171680459-1.86571716804586
3510195.93047098365385.0695290163462
36115115.584468498981-0.584468498980854
37109107.6309787528281.36902124717192
38109106.6343653615532.36563463844743
39159156.5410449408242.45895505917592
40129127.5622543166591.43774568334108
41119119.661131078527-0.661131078526524
42119116.6164220321732.3835779678274
43122120.2085009072681.79149909273179
44131129.8069460765841.1930539234157
45120115.5578318366474.44216816335289
468290.0037997207631-8.00379972076305
478683.08908106739242.91091893260764
48105106.79425739792-1.7942573979201
49114115.58861257183-1.58861257182999
5010099.41572019476830.584279805231704
51100101.767657179359-1.76765717935937
529996.72415380327072.27584619672927
53132132.025736349002-0.0257363490018999
548282.1362620502506-0.136262050250589
55132127.5085546458444.49144535415597
56107105.7824921789531.21750782104682
57114112.8231551571541.17684484284604
58110107.0093086203312.99069137966857
59105100.7982069416754.20179305832455
60121113.1563777928327.8436222071677
61109104.5942889339854.40571106601501
62106103.8670419755072.13295802449278
63124121.924063468262.07593653174037
64120118.6286476527141.37135234728557
6591102.548349856425-11.5483498564253
66126124.3725725111411.6274274888586
67138137.9397219266620.0602780733383974
68118114.9670256623283.03297433767232
69128125.5954007356912.40459926430931
709897.7659094217320.234090578268007
71133132.5616219389270.438378061072565
72130128.2053458629021.79465413709768
7310399.92408044487553.0759195551245
74124127.788547522069-3.78854752206897
75142140.0713232302591.92867676974132
769697.9805272451545-1.9805272451545
779392.96616987643370.0338301235663122
78129129.523980166593-0.523980166593414
79150148.3569391203061.64306087969429
808884.98765181307153.01234818692851
81125124.9714327164520.0285672835482621
829289.57483707377472.42516292622534
830110.598118418592-110.598118418592
84117115.9639140056761.03608599432353
85112112.915906380602-0.91590638060187
86144140.4988624242023.5011375757977
87130129.2609264849970.739073515002503
888792.3958054976297-5.39580549762971
899294.095226981036-2.09522698103602
90114116.720213320716-2.72021332071569
918176.62257716046314.37742283953692
92127125.1972160023681.80278399763185
93115115.570237525339-0.570237525338711
94123122.7268532936070.273146706393437
95115116.110805472864-1.11080547286358
96117118.227524370223-1.22752437022305
97117114.0398994292752.96010057072466
98103101.5391021694281.46089783057155
99108104.9387772932023.06122270679777
100139138.5111614705310.488838529468914
101113110.1794129272.82058707299968
1029795.27545092229191.72454907770808
103117116.5733157698690.426684230130839
104133130.5244749142432.47552508575696
105115113.3845436871591.61545631284078
106103107.395096705635-4.39509670563461
1079594.71066236795290.289337632047106
108117117.522113889542-0.522113889541712
109113112.1154129343390.884587065660946
110127128.066770712986-1.06677071298641
111126125.9624543570340.0375456429659519
112119118.5418022282240.458197771776096
1139792.20513864495744.79486135504258
114105104.5786662161420.421333783857983
115140139.4661426459230.533857354077363
1169187.13865416063533.86134583936471
117112111.578081140010.421918859990271
118113115.484396153083-2.48439615308312
11910297.71022104712134.28977895287868
1209291.37127140573270.6287285942673
12198101.199200838676-3.19920083867592
122122123.641182625123-1.64118262512309
12310099.44415330984340.555846690156567
1248485.4698959892236-1.46989598922363
125142141.2398672915230.760132708477511
126124122.1863473563471.81365264365273
127137132.8451578194764.15484218052354
128105105.161303760107-0.161303760106685
129106101.8925954915414.10740450845878
130125121.5825694892363.41743051076442
131104102.9256350661551.07436493384524
132130131.663886762145-1.66388676214529
1337981.9633315484417-2.96333154844165
134108106.4365635037731.56343649622669
135136132.9746574449423.02534255505752
1369899.0778717432292-1.07787174322923
137120129.576157281082-9.57615728108176
138108108.535190688443-0.535190688442895
139139137.9437762971381.05622370286216
140123123.795694427665-0.795694427664565
1419087.94378045965812.05621954034191
142119119.986506730529-0.986506730529295
143105105.338880984554-0.338880984554217
144110105.2629636825734.73703631742749
145135137.57183718597-2.57183718596958
14610196.51467147719194.48532852280809
147114114.122954154496-0.122954154496377
148118117.8056905956910.194309404308786
149120116.0655496087913.93445039120937
150108112.017863467338-4.01786346733759
151114111.5622152816882.43778471831164
152122122.919468394988-0.919468394987799
153132129.5776113581022.42238864189766
154130128.3904974484421.6095025515577
155130130.875467999204-0.875467999203919
156112110.0699728629331.93002713706731
157114115.714728359841-1.71472835984057
158103110.709750340761-7.7097503407606
159115116.997766396834-1.99776639683364
160108107.5386877140420.461312285958128
1619492.94975940551431.05024059448572
162105104.513786483610.486213516389789


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
140.02396965441007120.04793930882014240.976030345589929
150.005358602432547970.01071720486509590.994641397567452
160.001454378166585210.002908756333170420.998545621833415
170.0003429973946402260.0006859947892804530.99965700260536
186.3778812419201e-050.0001275576248384020.999936221187581
191.21534677326947e-052.43069354653894e-050.999987846532267
204.4938452928295e-068.98769058565901e-060.999995506154707
211.00232791600189e-062.00465583200378e-060.999998997672084
221.70831615159062e-073.41663230318124e-070.999999829168385
232.97945546462807e-085.95891092925613e-080.999999970205445
246.37967948613228e-091.27593589722646e-080.999999993620321
251.02837696928725e-092.0567539385745e-090.999999998971623
263.01633777584794e-106.03267555169588e-100.999999999698366
275.38249265779344e-111.07649853155869e-100.999999999946175
281.3738833775545e-112.747766755109e-110.999999999986261
297.89820095938901e-121.5796401918778e-110.999999999992102
301.68570439826079e-123.37140879652159e-120.999999999998314
312.72058850487401e-135.44117700974803e-130.999999999999728
325.20217083963275e-141.04043416792655e-130.999999999999948
331.97352421224507e-113.94704842449013e-110.999999999980265
341.40832449061252e-112.81664898122504e-110.999999999985917
354.51578589817503e-129.03157179635006e-120.999999999995484
361.25152470122671e-122.50304940245343e-120.999999999998748
372.6259665244754e-135.25193304895081e-130.999999999999737
388.729590610734e-141.7459181221468e-130.999999999999913
391.91835212637623e-143.83670425275245e-140.999999999999981
404.04660911888305e-158.0932182377661e-150.999999999999996
412.16326911059621e-154.32653822119243e-150.999999999999998
424.39977569155814e-168.79955138311629e-161
431.02773023469436e-162.05546046938872e-161
441.98289796310771e-173.96579592621543e-171
453.96279693739336e-187.92559387478672e-181
464.1691340533617e-158.3382681067234e-150.999999999999996
471.09108829756167e-152.18217659512333e-150.999999999999999
482.09945687304526e-154.19891374609052e-150.999999999999998
495.25854445757348e-161.0517088915147e-150.999999999999999
501.50543850995029e-163.01087701990058e-161
515.43052195220989e-171.08610439044198e-161
521.74852261415951e-173.49704522831903e-171
534.07013531644018e-188.14027063288036e-181
541.36461009661788e-182.72922019323577e-181
554.39234843890346e-198.78469687780692e-191
561.00325472170232e-192.00650944340463e-191
572.46369629210669e-204.92739258421339e-201
585.6669832561266e-211.13339665122532e-201
591.49847206757507e-212.99694413515014e-211
607.53859673051674e-221.50771934610335e-211
612.00890103940634e-224.01780207881268e-221
624.48193792483507e-238.96387584967014e-231
639.94008575526246e-241.98801715105249e-231
642.12444919434184e-244.24889838868367e-241
651.30527969005526e-212.61055938011052e-211
663.5034271201901e-227.0068542403802e-221
678.13332776162886e-231.62666555232577e-221
682.15509241618001e-234.31018483236001e-231
696.39270057495006e-241.27854011499001e-231
701.60628318888788e-243.21256637777576e-241
713.56983424713697e-257.13966849427395e-251
728.37694963296418e-261.67538992659284e-251
732.0322452059574e-264.0644904119148e-261
749.15269773864942e-271.83053954772988e-261
752.04386568220199e-274.08773136440397e-271
764.47416900739293e-288.94833801478586e-281
779.47120686545846e-291.89424137309169e-281
781.93986343811808e-293.87972687623617e-291
794.16235063250455e-308.32470126500911e-301
801.39223722575159e-302.78447445150319e-301
812.86162189356279e-315.72324378712557e-311
826.77694904524301e-321.3553898090486e-311
8314.00972730454917e-372.00486365227458e-37
8412.38751738223774e-361.19375869111887e-36
8511.2549036027188e-356.27451801359401e-36
8616.26770044767725e-353.13385022383863e-35
8713.78844255908413e-341.89422127954207e-34
8815.57293891558337e-352.78646945779168e-35
8913.37974275993359e-341.68987137996679e-34
9011.91855174146776e-339.59275870733879e-34
9114.86266127268583e-332.43133063634291e-33
9213.00597553131362e-321.50298776565681e-32
9311.85286146499672e-319.2643073249836e-32
9416.72431208801648e-313.36215604400824e-31
9514.04995519422284e-302.02497759711142e-30
9612.06090055710717e-291.03045027855358e-29
9711.1224603987225e-285.61230199361251e-29
9816.01684849523579e-283.00842424761789e-28
9912.83908493051307e-271.41954246525653e-27
10017.96854059295178e-273.98427029647589e-27
10112.99835581513583e-261.49917790756791e-26
10211.5276422736053e-257.6382113680265e-26
10317.52410698451603e-253.76205349225802e-25
10411.78948197273128e-248.94740986365641e-25
10518.42692973510711e-244.21346486755355e-24
10613.35706534161458e-231.67853267080729e-23
10711.45883489504598e-227.29417447522988e-23
10817.5749766001614e-223.7874883000807e-22
10912.4442290672494e-211.2221145336247e-21
11014.81677609008802e-212.40838804504401e-21
11112.46254919129892e-201.23127459564946e-20
11211.11211846965019e-195.56059234825094e-20
11311.66429205595709e-198.32146027978544e-20
11417.41428031001483e-193.70714015500742e-19
11513.46729132258764e-181.73364566129382e-18
11611.68760367668775e-178.43801838343876e-18
11716.10908308505733e-173.05454154252866e-17
11812.77476519560267e-161.38738259780133e-16
1190.9999999999999991.19183293754775e-155.95916468773876e-16
1200.9999999999999984.74706712939387e-152.37353356469694e-15
1210.9999999999999892.13752811737051e-141.06876405868526e-14
1220.9999999999999519.87435391904034e-144.93717695952017e-14
1230.9999999999998283.43035755733082e-131.71517877866541e-13
1240.9999999999998343.3139743066492e-131.6569871533246e-13
1250.9999999999994021.19619006444394e-125.98095032221969e-13
1260.9999999999973115.37792000926836e-122.68896000463418e-12
1270.9999999999907971.84059090932105e-119.20295454660524e-12
1280.999999999958798.24194577411218e-114.12097288705609e-11
1290.9999999998393663.21267525878348e-101.60633762939174e-10
1300.999999999329051.34189908846504e-096.70949544232521e-10
1310.9999999972195125.5609766994329e-092.78048834971645e-09
1320.99999998907612.18477995180862e-081.09238997590431e-08
1330.9999999942097361.15805272116874e-085.79026360584372e-09
1340.9999999755214184.89571640270534e-082.44785820135267e-08
1350.9999999231228081.53754384859687e-077.68771924298436e-08
1360.9999998436354773.12729045850635e-071.56364522925317e-07
1370.9999997606666634.78666674482053e-072.39333337241027e-07
1380.9999991374760261.7250479484851e-068.62523974242551e-07
1390.9999983613175163.2773649676723e-061.63868248383615e-06
1400.9999928488446851.43023106307818e-057.15115531539089e-06
1410.9999758399495994.83201008010809e-052.41600504005405e-05
1420.9999090691080760.0001818617838477069.09308919238528e-05
1430.9997904086694890.0004191826610215190.000209591330510759
1440.9992862259139860.001427548172028890.000713774086014446
1450.9974822719330270.005035456133945570.00251772806697278
1460.991601266767430.01679746646514090.00839873323257045
1470.9768914475458940.04621710490821160.0231085524541058
1480.9773883830275430.04522323394491480.0226116169724574


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1300.962962962962963NOK
5% type I error level1351NOK
10% type I error level1351NOK