Multiple Linear Regression - Estimated Regression Equation
Learning[t] = + 4.09668 + 0.0464479Connected[t] + 0.0421777Separate[t] + 0.608685Software[t] + 0.10009Happiness[t] -0.043456Depression[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)4.096681.735942.360.01902380.0095119
Connected0.04644790.03448931.3470.1792470.0896236
Separate0.04217770.03550951.1880.236010.118005
Software0.6086850.051585311.85.53114e-262.76557e-26
Happiness0.100090.05736421.7450.08220850.0411042
Depression-0.0434560.0413089-1.0520.2937940.146897


Multiple Linear Regression - Regression Statistics
Multiple R0.653044
R-squared0.426466
Adjusted R-squared0.415351
F-TEST (value)38.3685
F-TEST (DF numerator)5
F-TEST (DF denominator)258
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.87789
Sum Squared Residuals909.833


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11315.7878-2.78781
21615.2770.723024
31916.58922.41078
41511.26013.73985
51415.8383-1.83826
61314.3125-1.31251
71914.96514.03489
81516.6391-1.63914
91415.616-1.61604
101513.83261.16741
111614.5231.47697
121616.0611-0.0611305
131614.99121.00879
141615.19950.800505
151717.6874-0.687375
161515.072-0.071977
171513.99821.00178
182015.99224.00781
191815.17312.82686
201615.27340.726565
211615.05920.940798
221614.64091.3591
231916.30362.6964
241614.74841.25158
251715.78561.21443
261715.77331.22665
271614.45531.5447
281516.4611-1.46105
291615.21850.781485
301413.69070.309311
311515.3586-0.358633
321212.2193-0.219272
331414.4766-0.476583
341615.5640.435959
351415.0818-1.0818
361012.4895-2.48947
371012.261-2.26104
381415.4448-1.44477
391614.1051.895
401614.06771.93232
411614.3621.63796
421415.3651-1.36505
432017.59552.40454
441413.79380.206229
451414.1529-0.152863
461115.1318-4.13176
471416.5298-2.52979
481514.78240.217625
491615.11680.883216
501415.3388-1.33877
511616.8742-0.87424
521413.72810.271927
531214.5979-2.59788
541615.78430.215732
55910.6992-1.69919
561411.81482.18518
571615.68290.317075
581615.29220.707819
591514.79570.204291
601613.79252.20751
611210.86351.13651
621615.37970.620335
631616.2532-0.253242
641414.5012-0.501199
651615.22410.775937
661715.71871.28127
671816.12891.87114
681814.00413.99594
691215.8359-3.8359
701615.48010.519879
711013.0859-3.08591
721414.7845-0.784455
731816.77891.22114
741817.17940.820629
751614.94211.05791
761713.02713.97294
771616.4253-0.425338
781614.24141.75863
791314.9454-1.94538
801615.16830.831659
811615.47540.524584
821615.69740.302599
831515.5913-0.591308
841514.69250.307529
851613.86022.13985
861413.92120.0787801
871615.24750.752485
881614.74691.25309
891514.07010.929851
901213.6697-1.66973
911716.89810.101898
921615.69230.307712
931514.81760.182368
941314.7712-1.77119
951614.63681.36318
961615.71020.289834
971613.43132.56872
981615.7770.222969
991414.2551-0.255053
1001617.1687-1.16866
1011614.49281.5072
1022017.53962.46037
1031514.08250.917498
1041614.7761.22402
1051314.6837-1.68365
1061715.76561.23443
1071615.75630.243748
1081614.28961.71038
1091212.0842-0.0841574
1101615.12130.878652
1111615.89920.100825
1121714.8312.16901
1131314.4198-1.41984
1141214.6163-2.61629
1151816.24471.75527
1161416.0224-2.02235
1171413.06880.931169
1181314.8114-1.81137
1191615.43370.566258
1201314.4348-1.43481
1211615.38110.618852
1221315.8342-2.83419
1231617.0933-1.0933
1241516.0126-1.01256
1251616.8819-0.881864
1261514.69860.301431
1271715.74781.25217
1281514.04970.950282
1291214.7462-2.74618
1301613.88492.11512
1311013.4741-3.47414
1321613.45142.54856
1331214.1612-2.16115
1341415.7021-1.70211
1351515.1034-0.103445
1361311.90481.0952
1371514.64050.359457
1381113.4589-2.45888
1391213.0492-1.04921
1401113.2707-2.27065
1411612.95333.04667
1421513.52191.47809
1431716.97640.023595
1441614.18211.81793
1451013.255-3.25501
1461815.71472.28531
1471315.1275-2.12749
1481614.91781.08219
1491312.62540.374642
1501012.8474-2.84739
1511516.0834-1.08339
1521613.96722.03284
1531611.6994.30099
1541412.24041.75963
1551012.3254-2.32541
1561716.89810.101898
1571311.58861.41143
1581514.04970.950282
1591614.63121.3688
1601212.4741-0.47412
1611312.66970.330338
1621312.49220.507796
1631212.2955-0.295543
1641716.50750.492521
1651513.62641.37361
1661011.4477-1.44775
1671414.4573-0.457308
1681114.2557-3.25569
1691314.7884-1.7884
1701614.33421.66582
1711210.39811.60194
1721615.71360.286429
1731213.9435-1.94346
174911.3213-2.32133
1751215.2905-3.29052
1761514.66480.335163
1771212.2821-0.282115
1781212.6525-0.652488
1791414.0978-0.0978061
1801213.3931-1.39305
1811615.51470.48533
1821111.5499-0.549865
1831917.20861.79142
1841515.4823-0.482311
185814.7272-6.72716
1861614.88111.11886
1871714.69132.30874
1881212.4563-0.456331
1891111.5318-0.53178
1901110.33330.666749
1911414.9417-0.941697
1921615.81970.180268
193129.650442.34956
1941614.38421.61583
1951313.9125-0.912518
1961515.4018-0.401838
1971613.03722.96282
1981615.24370.75632
1991412.47461.52545
2001614.69451.30552
2011614.22171.77827
2021413.54350.456509
2031113.6851-2.6851
2041215.0226-3.02261
2051512.95632.04368
2061514.82630.173734
2071614.85831.14174
2081615.49460.505423
2091113.9403-2.94031
2101514.23460.765407
2111214.5341-2.53406
2121216.2845-4.28451
2131514.24230.757735
2141512.14532.85474
2151614.8651.13496
2161413.47490.525062
2171715.02471.97527
2181414.3088-0.308831
2191311.95921.0408
2201515.6109-0.610924
2211314.998-1.99796
2221414.5469-0.546918
2231514.54550.454479
2241213.4747-1.47466
2251312.66070.339291
226811.9204-3.9204
2271414.3968-0.396797
2281413.22130.778721
2291112.3472-1.34717
2301213.1664-1.16636
2311311.47311.52686
2321013.5246-3.52458
2331611.77944.22059
2341816.47691.52308
2351314.3228-1.32278
2361113.6558-2.65577
237411.195-7.19502
2381314.9481-1.94807
2391614.57831.42171
2401011.9209-1.9209
2411212.3365-0.336463
2421213.8692-1.86917
243108.910041.08996
2441311.27211.72788
2451514.10260.89742
2461212.0212-0.0212418
2471413.18670.81327
2481012.9984-2.99843
2491210.86621.13381
2501211.89960.100408
2511112.1244-1.12437
2521011.8024-1.80236
2531211.67810.321888
2541613.19362.80644
2551213.7563-1.7563
2561414.3126-0.312552
2571614.57541.42461
2581411.87432.12566
2591314.7943-1.79434
26049.467-5.467
2611514.19140.808569
2621115.5628-4.56276
2631111.4784-0.478391
2641413.15130.848689


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.5779840.8440320.422016
100.6710370.6579270.328963
110.6020720.7958560.397928
120.694740.610520.30526
130.6177890.7644220.382211
140.6092510.7814970.390749
150.5785520.8428970.421448
160.5280670.9438670.471933
170.4472750.8945490.552725
180.8230530.3538950.176947
190.8332380.3335250.166762
200.7825460.4349080.217454
210.7315140.5369720.268486
220.6698880.6602240.330112
230.6910450.6179110.308955
240.6316340.7367310.368366
250.577080.8458390.42292
260.5169570.9660850.483043
270.4587810.9175630.541219
280.4416810.8833620.558319
290.3810010.7620030.618999
300.3594050.7188110.640595
310.3073570.6147150.692643
320.2895880.5791770.710412
330.2658870.5317730.734113
340.2199290.4398580.780071
350.208460.416920.79154
360.2971680.5943370.702832
370.3849670.7699350.615033
380.3836920.7673850.616308
390.4127040.8254080.587296
400.3878470.7756930.612153
410.3519410.7038810.648059
420.3342930.6685870.665707
430.3442640.6885270.655736
440.3027230.6054460.697277
450.2727560.5455110.727244
460.5379490.9241030.462051
470.6014320.7971350.398568
480.5545650.890870.445435
490.5127120.9745750.487288
500.5061590.9876820.493841
510.4640540.9281090.535946
520.4181620.8363250.581838
530.4518850.9037710.548115
540.4085560.8171110.591444
550.4186740.8373470.581326
560.4049110.8098220.595089
570.3638670.7277330.636133
580.3357850.6715710.664215
590.2964360.5928710.703564
600.3026620.6053250.697338
610.2755670.5511330.724433
620.2417630.4835260.758237
630.209160.4183190.79084
640.1810620.3621240.818938
650.157510.315020.84249
660.1452260.2904520.854774
670.1428740.2857490.857126
680.2412240.4824480.758776
690.3629050.725810.637095
700.3281920.6563850.671808
710.4090280.8180560.590972
720.3728250.7456510.627175
730.3580870.7161740.641913
740.3317270.6634540.668273
750.3013080.6026150.698692
760.3836720.7673440.616328
770.3482020.6964040.651798
780.3309010.6618030.669099
790.3373810.6747630.662619
800.3099470.6198930.690053
810.2800170.5600340.719983
820.2494380.4988760.750562
830.2271580.4543160.772842
840.1994850.398970.800515
850.2005120.4010230.799488
860.1743940.3487870.825606
870.1537970.3075940.846203
880.1399040.2798070.860096
890.1216860.2433720.878314
900.1158620.2317230.884138
910.1003950.200790.899605
920.08652910.1730580.913471
930.07392860.1478570.926071
940.07554510.151090.924455
950.06828530.1365710.931715
960.05723980.114480.94276
970.06379510.127590.936205
980.05321640.1064330.946784
990.04383680.08767360.956163
1000.03904540.07809080.960955
1010.03512650.07025290.964874
1020.04353640.08707270.956464
1030.0372930.07458610.962707
1040.03396190.06792370.966038
1050.04032220.08064440.959678
1060.03601150.0720230.963989
1070.02956240.05912480.970438
1080.02798940.05597870.972011
1090.02304140.04608280.976959
1100.01949130.03898250.980509
1110.01562150.0312430.984379
1120.01802880.03605760.981971
1130.01698640.03397270.983014
1140.02235660.04471330.977643
1150.02220170.04440350.977798
1160.02267820.04535630.977322
1170.01920550.03841110.980794
1180.01947810.03895620.980522
1190.01599510.03199030.984005
1200.01480890.02961790.985191
1210.01223080.02446160.987769
1220.01661720.03323440.983383
1230.01408210.02816410.985918
1240.0123840.02476790.987616
1250.01021920.02043840.989781
1260.008281770.01656350.991718
1270.007458880.01491780.992541
1280.006248790.01249760.993751
1290.008799520.0175990.9912
1300.00936830.01873660.990632
1310.01812310.03624620.981877
1320.02181250.0436250.978188
1330.02343480.04686960.976565
1340.02239330.04478650.977607
1350.0181180.03623610.981882
1360.01547260.03094530.984527
1370.01244640.02489270.987554
1380.01525380.03050770.984746
1390.01340920.02681840.986591
1400.01526870.03053750.984731
1410.02201120.04402250.977989
1420.02060790.04121570.979392
1430.01672430.03344850.983276
1440.01795580.03591160.982044
1450.0298230.0596460.970177
1460.0366110.0732220.963389
1470.03843330.07686660.961567
1480.03477130.06954270.965229
1490.02885180.05770360.971148
1500.03866650.07733310.961333
1510.03354590.06709180.966454
1520.03468620.06937230.965314
1530.07013660.1402730.929863
1540.06919650.1383930.930803
1550.07725240.1545050.922748
1560.06653610.1330720.933464
1570.05954930.1190990.940451
1580.05208420.1041680.947916
1590.05102540.1020510.948975
1600.04390240.08780470.956098
1610.0361720.07234410.963828
1620.02981090.05962180.970189
1630.02510010.05020020.9749
1640.02132010.04264030.97868
1650.01872670.03745350.981273
1660.01925570.03851140.980744
1670.01552160.03104330.984478
1680.02272710.04545410.977273
1690.02256020.04512050.97744
1700.02080830.04161660.979192
1710.02010440.04020890.979896
1720.01635170.03270340.983648
1730.01627070.03254150.983729
1740.01817840.03635680.981822
1750.02390330.04780670.976097
1760.01947460.03894910.980525
1770.01582890.03165780.984171
1780.01293020.02586040.98707
1790.01017070.02034150.989829
1800.008857210.01771440.991143
1810.007229260.01445850.992771
1820.005875180.01175040.994125
1830.005918880.01183780.994081
1840.004771840.009543690.995228
1850.0881010.1762020.911899
1860.07646930.1529390.923531
1870.09199940.1839990.908001
1880.08280060.1656010.917199
1890.07077750.1415550.929223
1900.0587180.1174360.941282
1910.05075440.1015090.949246
1920.04349810.08699630.956502
1930.0496020.0992040.950398
1940.04819270.09638540.951807
1950.04068590.08137170.959314
1960.03325030.06650070.96675
1970.04923210.09846420.950768
1980.04090540.08181070.959095
1990.03841940.07683890.961581
2000.03244010.06488020.96756
2010.03031340.06062680.969687
2020.02497320.04994630.975027
2030.02728070.05456150.972719
2040.03485750.06971490.965143
2050.03901360.07802720.960986
2060.03114090.06228190.968859
2070.02855870.05711740.971441
2080.02321460.04642910.976785
2090.02641830.05283650.973582
2100.02262090.04524180.977379
2110.02591310.05182610.974087
2120.04417960.08835930.95582
2130.03509940.07019890.964901
2140.04703120.09406230.952969
2150.04130570.08261140.958694
2160.03250390.06500770.967496
2170.03419650.0683930.965804
2180.02849060.05698110.971509
2190.02653120.05306240.973469
2200.02017860.04035720.979821
2210.01801860.03603720.981981
2220.01384980.02769960.98615
2230.0103930.02078610.989607
2240.008484020.0169680.991516
2250.00640770.01281540.993592
2260.01393880.02787760.986061
2270.01057770.02115530.989422
2280.008291410.01658280.991709
2290.006137460.01227490.993863
2300.004435910.008871820.995564
2310.005015570.01003110.994984
2320.0117580.02351590.988242
2330.0541550.108310.945845
2340.07929220.1585840.920708
2350.06122630.1224530.938774
2360.05412460.1082490.945875
2370.2974090.5948180.702591
2380.2532730.5065470.746727
2390.2262790.4525580.773721
2400.1852460.3704910.814754
2410.1443440.2886870.855656
2420.1428050.285610.857195
2430.1260240.2520470.873976
2440.1739080.3478160.826092
2450.2258210.4516420.774179
2460.1890370.3780730.810963
2470.1477060.2954110.852294
2480.1331010.2662020.866899
2490.1069640.2139280.893036
2500.1443340.2886670.855666
2510.09726190.1945240.902738
2520.2273240.4546480.772676
2530.3851580.7703150.614842
2540.9334910.1330190.0665093
2550.9052510.1894980.0947491


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level20.00809717OK
5% type I error level730.295547NOK
10% type I error level1200.48583NOK