Multiple Linear Regression - Estimated Regression Equation
ParCritism[t] = + 4.81033216265317 + 0.140086793633178ParConcern[t] + 0.0360157681230259ParDoubt[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)4.810332162653170.9664554.97732e-061e-06
ParConcern0.1400867936331780.0391623.57710.0004630.000232
ParDoubt0.03601576812302590.0800270.450.6533020.326651


Multiple Linear Regression - Regression Statistics
Multiple R0.312754719511826
R-squared0.097815514576921
Adjusted R-squared0.0862490468150867
F-TEST (value)8.45681815667883
F-TEST (DF numerator)2
F-TEST (DF denominator)156
p-value0.000325864944850762
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.58768465875171
Sum Squared Residuals1044.59345532967


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1128.676635963571793.32336403642821
288.7086754528359-0.708675452835895
387.407902263155340.592097736844657
487.764083665526670.235916334473325
597.620020593034571.37997940696543
677.41187854201427-0.411878542014268
747.97222571654698-3.97222571654698
8117.44789431013733.55210568986271
977.90814673801878-0.908146738018779
1077.58798110377047-0.587981103770472
11128.500533401815593.49946659818441
12109.44512518912480.554874810875194
13108.320454561200461.67954543879954
1487.764083665526670.235916334473325
1587.307807516504120.692192483495883
1646.6354367587434-2.63543675874340
1798.076296742057130.92370325794287
1887.199760212135040.800239787864961
1977.90019418030093-0.900194180300927
20119.657243519004041.34275648099596
2199.13291211259435-0.132912112594351
221110.14953543614960.85046456385038
23138.076296742057134.92370325794287
2489.65724351900404-1.65724351900404
2587.868154691036830.131845308963173
2697.339847005768221.66015299423178
2767.93620994842395-1.93620994842395
2898.076296742057130.92370325794287
2998.216383535690310.783616464309692
3067.51594956752442-1.51594956752442
3168.53257289107969-2.53257289107969
32168.888754293451027.11124570654898
3358.84876224646907-3.84876224646907
3478.60062814846681-1.60062814846681
3597.515949567524421.48405043247558
3669.86936184888326-3.86936184888326
3769.82936980190131-3.82936980190131
3857.20771276985289-2.20771276985289
39129.725298776391162.27470122360884
4078.74469122095892-1.74469122095892
41109.377069931737680.62293006826232
4298.216383535690310.783616464309692
4387.692052129280620.307947870719377
4457.51594956752442-2.51594956752442
4587.972225716546980.0277742834530215
4687.343823284627140.656176715372858
47108.116288789039081.88371121096092
4869.93741710627039-3.93741710627039
4989.23300685924558-1.23300685924558
5078.53654916993862-1.53654916993861
5149.0288410870842-5.0288410870842
5287.65603636115760.343963638842402
5387.972225716546980.0277742834530215
5446.56738150135628-2.56738150135628
55209.0208885293663510.9791114706337
5688.92079378271512-0.920793782715121
5788.25239930381333-0.252399303813334
5867.4799337994014-1.47993379940139
5946.74348406311248-2.74348406311248
6087.311783795363040.688216204636957
6197.515949567524421.48405043247558
6268.11231251018016-2.11231251018016
6377.90417045915985-0.904170459159853
6497.80009943364971.1999005663503
6556.5713577802152-1.57135778021520
6659.2690226273686-4.2690226273686
6789.44114891026588-1.44114891026588
6887.796123154790780.203876845209225
6966.5393182909511-0.539318290951103
7088.00824148467-0.0082414846700044
7179.02088852936635-2.02088852936635
7277.79612315479078-0.796123154790775
7399.33707788475573-0.337077884755728
74119.41308569986071.58691430013929
7568.77673071022302-2.77673071022302
7688.39248609744651-0.392486097446511
7767.13568123360684-1.13568123360684
7898.18434404642620.815655953573792
7987.904170459159850.0958295408401473
8069.12893583373543-3.12893583373542
81108.536549169938621.46345083006139
8287.547989056788520.45201094321148
8388.1843440464262-0.184344046426208
84107.900194180300932.09980581969907
8558.53654916993862-3.53654916993861
8678.14832827830318-1.14832827830318
8758.11231251018016-3.11231251018016
8887.41585482087320.584145179126806
89149.164951601858454.83504839814155
9077.8321389229138-0.832138922913801
9188.95680955083815-0.956809550838148
9266.39127893960007-0.391278939600073
9357.4478943101373-2.44789431013729
9468.25239930381333-2.25239930381333
95107.796123154790782.20387684520922
96129.513180446511932.48681955348807
9799.72927505525009-0.729275055250087
98129.341054163614652.65894583638535
9977.79612315479078-0.796123154790775
10088.25239930381333-0.252399303813334
101108.392486097446511.60751390255349
10267.16374444401201-1.16374444401201
103107.936209948423952.06379005157605
104107.620020593034572.37997940696543
105108.536549169938621.46345083006139
10658.81672275720497-3.81672275720497
10778.0402809739341-1.04028097393410
108108.496557122956661.50344287704334
109118.816722757204972.18327724279503
11067.69602840813955-1.69602840813955
11176.919586624868680.080413375131316
112129.020888529366352.97911147063365
113118.04028097393412.95971902606590
114118.564612380343792.43538761965621
115116.287207914089924.71279208591008
11657.33984700576822-2.33984700576822
11787.68807585042170.311924149578303
11867.58798110377047-1.58798110377047
11998.816722757204970.183277242795030
12048.00824148467-4.00824148467000
12149.2690226273686-5.2690226273686
12277.16772072287094-0.167720722870939
123118.396462376305442.60353762369456
12467.19976021213504-1.19976021213504
12578.19229660414406-1.19229660414406
12688.00824148467-0.0082414846700044
12747.19976021213504-3.19976021213504
12888.00824148467-0.0082414846700044
12997.692052129280621.30794787071938
13089.9374171062704-1.93741710627039
131118.288415071936362.71158492806364
13287.375862773891240.624137226108758
13357.51594956752442-2.51594956752442
13447.33984700576822-3.33984700576822
13588.11231251018016-0.112312510180156
136108.920793782715121.07920621728488
13767.8000994336497-1.8000994336497
13897.764083665526671.23591633447333
13997.47993379940141.52006620059861
140138.360446608182414.63955339181759
14199.51715672537086-0.517156725370858
142109.44512518912480.554874810875194
143208.676635963571811.3233640364282
14458.29239135079528-3.29239135079529
145118.220359814549232.77964018545077
14669.44910146798373-3.44910146798373
14799.4771646783889-0.477164678388906
14877.93620994842395-0.936209948423953
14997.375862773891241.62413722610876
150108.180367767567281.81963223243272
15197.86417841217791.1358215878221
15289.30901467435055-1.30901467435055
153710.5298037700672-3.5298037700672
15468.2163835356903-2.21638353569031
155138.008241484674.99175851533
15667.51594956752442-1.51594956752442
15789.2369831381045-1.23698313810450
158108.360446608182411.63955339181759
159169.729275055250096.27072494474991


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.2877247301811750.575449460362350.712275269818825
70.6100838845272420.7798322309455160.389916115472758
80.6051798088567110.7896403822865780.394820191143289
90.5871371975741480.8257256048517030.412862802425852
100.4844942603188520.9689885206377040.515505739681148
110.5093085992147910.9813828015704190.490691400785210
120.4101561009072540.8203122018145080.589843899092746
130.3378213129236270.6756426258472540.662178687076373
140.2553215412070150.5106430824140290.744678458792985
150.1875111877260850.3750223754521710.812488812273915
160.1677887227465210.3355774454930420.832211277253479
170.1213101960632300.2426203921264610.87868980393677
180.09001233779640950.1800246755928190.90998766220359
190.06598648918325080.1319729783665020.93401351081675
200.04444028236219770.08888056472439540.955559717637802
210.03494448163372170.06988896326744350.965055518366278
220.02346207774981620.04692415549963230.976537922250184
230.07952263911773870.1590452782354770.920477360882261
240.08746730469136250.1749346093827250.912532695308637
250.06294260939637030.1258852187927410.93705739060363
260.05005217415929260.1001043483185850.949947825840707
270.0495963269911210.0991926539822420.95040367300888
280.03545541773394780.07091083546789550.964544582266052
290.02461255216593980.04922510433187950.97538744783406
300.02111955917239660.04223911834479330.978880440827603
310.02586118981882860.05172237963765710.974138810181171
320.1364028118907310.2728056237814620.863597188109269
330.2040920177643440.4081840355286880.795907982235656
340.1719335944124120.3438671888248240.828066405587588
350.1464293932427790.2928587864855580.85357060675722
360.2324089130787320.4648178261574640.767591086921268
370.2459854714816690.4919709429633380.754014528518331
380.3204283530028360.6408567060056720.679571646997164
390.3216619773014820.6433239546029640.678338022698518
400.2972956845780190.5945913691560380.702704315421981
410.2540735160578960.5081470321157910.745926483942104
420.2175171857751190.4350343715502380.78248281422488
430.1803138181650590.3606276363301180.819686181834941
440.1821049834165410.3642099668330820.817895016583459
450.1492429748321460.2984859496642930.850757025167854
460.1214043973302600.2428087946605200.87859560266974
470.1051863267798870.2103726535597740.894813673220113
480.138101613459490.276203226918980.86189838654051
490.1146127640689780.2292255281379560.885387235931022
500.1027352799560580.2054705599121160.897264720043942
510.1910503024964550.3821006049929110.808949697503545
520.1591942230208330.3183884460416670.840805776979167
530.1307486109009480.2614972218018960.869251389099052
540.1347777022058930.2695554044117850.865222297794108
550.8368907291534060.3262185416931880.163109270846594
560.8094137244057020.3811725511885950.190586275594297
570.7756969382477950.4486061235044090.224303061752205
580.751420607756220.497158784487560.24857939224378
590.7542880718672830.4914238562654340.245711928132717
600.7198481178913520.5603037642172970.280151882108648
610.69211346494560.61577307010880.3078865350544
620.6770970507411820.6458058985176350.322902949258818
630.6386250642449820.7227498715100360.361374935755018
640.6041717589634740.7916564820730530.395828241036526
650.5739594226410060.8520811547179880.426040577358994
660.6467632043152170.7064735913695670.353236795684783
670.6154235246223930.7691529507552130.384576475377607
680.5707588537824150.858482292435170.429241146217585
690.5266648271291730.9466703457416540.473335172870827
700.4805270654513790.9610541309027570.519472934548621
710.4608856406879920.9217712813759850.539114359312008
720.4192994403862860.8385988807725720.580700559613714
730.3758689695171360.7517379390342720.624131030482864
740.3493053250779590.6986106501559170.650694674922041
750.3543411947345050.708682389469010.645658805265495
760.3136297098709880.6272594197419770.686370290129012
770.2809418533576040.5618837067152090.719058146642396
780.2473470124719840.4946940249439680.752652987528016
790.2125874514028050.425174902805610.787412548597195
800.2279199570327990.4558399140655990.7720800429672
810.2050959924543270.4101919849086550.794904007545673
820.1754213748218600.3508427496437210.82457862517814
830.1475221366380640.2950442732761280.852477863361936
840.1385865986919260.2771731973838520.861413401308074
850.1607096423982490.3214192847964980.839290357601751
860.1393191880024730.2786383760049460.860680811997527
870.1510646981783070.3021293963566130.848935301821694
880.1269566812474340.2539133624948690.873043318752566
890.1928811769791210.3857623539582420.80711882302088
900.1660925382879160.3321850765758330.833907461712084
910.1427710809774610.2855421619549220.857228919022539
920.1190313311260860.2380626622521720.880968668873914
930.1170145399671140.2340290799342280.882985460032886
940.1123608998217220.2247217996434440.887639100178278
950.1051619438013540.2103238876027080.894838056198646
960.1023209334272450.2046418668544910.897679066572755
970.08468283765154880.1693656753030980.915317162348451
980.08430915635993180.1686183127198640.915690843640068
990.06944297008468920.1388859401693780.93055702991531
1000.05537188778860060.1107437755772010.9446281122114
1010.04721722216875370.09443444433750750.952782777831246
1020.03912285340562350.0782457068112470.960877146594377
1030.03484691128202710.06969382256405430.965153088717973
1040.03250034610528740.06500069221057490.967499653894713
1050.02669701666777470.05339403333554940.973302983332225
1060.03616989890455680.07233979780911370.963830101095443
1070.02902245723418490.05804491446836980.970977542765815
1080.02375246263371010.04750492526742030.97624753736629
1090.02119961086930910.04239922173861810.97880038913069
1100.01833363992783950.03666727985567890.98166636007216
1110.01356423220390780.02712846440781550.986435767796092
1120.01485395854006710.02970791708013420.985146041459933
1130.01586598229626010.03173196459252020.98413401770374
1140.01610805321587790.03221610643175580.983891946784122
1150.02948348729255770.05896697458511530.970516512707442
1160.02673477828745180.05346955657490360.973265221712548
1170.02045383788212350.04090767576424690.979546162117876
1180.01700010301582610.03400020603165220.982999896984174
1190.01232970480946820.02465940961893630.987670295190532
1200.01855692442409430.03711384884818860.981443075575906
1210.04002884071148450.08005768142296890.959971159288516
1220.03033824499625930.06067648999251870.96966175500374
1230.02732461105334310.05464922210668620.972675388946657
1240.02130428885555780.04260857771111560.978695711144442
1250.02325039878119890.04650079756239790.976749601218801
1260.01684757441405680.03369514882811360.983152425585943
1270.01993591005742940.03987182011485880.98006408994257
1280.01435984760975380.02871969521950760.985640152390246
1290.01035288912500170.02070577825000330.989647110874998
1300.008705104243109370.01741020848621870.99129489575689
1310.007772781492243340.01554556298448670.992227218507757
1320.005191611797807140.01038322359561430.994808388202193
1330.005189053039058330.01037810607811670.994810946960942
1340.007405782536020870.01481156507204170.99259421746398
1350.004967046211334450.00993409242266890.995032953788666
1360.003221827476121970.006443654952243940.996778172523878
1370.00399490576210150.0079898115242030.996005094237899
1380.002638377425968670.005276754851937330.997361622574031
1390.001638894393579080.003277788787158160.99836110560642
1400.002033511130625110.004067022261250220.997966488869375
1410.001224191242551020.002448382485102030.998775808757449
1420.0006985798213070420.001397159642614080.999301420178693
1430.1559104765312820.3118209530625650.844089523468718
1440.2459954834053570.4919909668107130.754004516594643
1450.2042112212202020.4084224424404030.795788778779798
1460.3121559516864430.6243119033728870.687844048313557
1470.247815156928960.495630313857920.75218484307104
1480.1938573189447290.3877146378894580.806142681055271
1490.1323946209200950.264789241840190.867605379079905
1500.1115292229380200.2230584458760410.88847077706198
1510.09809397364467290.1961879472893460.901906026355327
1520.2228180875471490.4456361750942990.77718191245285
1530.1394939345620880.2789878691241770.860506065437912


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level80.0540540540540541NOK
5% type I error level330.222972972972973NOK
10% type I error level500.337837837837838NOK