Multiple Linear Regression - Estimated Regression Equation
Y[t] = -14.1035350383858 + 3.01913453757866X[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-14.10353503838583.263874-4.32115e-052.5e-05
X3.019134537578660.4089327.38300


Multiple Linear Regression - Regression Statistics
Multiple R0.661656111589322
R-squared0.437788810003502
Adjusted R-squared0.429757221574981
F-TEST (value)54.5083720237515
F-TEST (DF numerator)1
F-TEST (DF denominator)70
p-value2.49030684962293e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.40192550633485
Sum Squared Residuals403.847229658734


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11110.95528162351700.0447183764829767
2810.6533681697591-2.65336816975913
3610.0495412622434-4.04954126224341
4109.747627808485540.252372191514458
5118.841887447211942.15811255278806
6108.841887447211941.15811255278806
7910.955281623517-1.95528162351700
8811.2571950772749-3.25719507727487
91111.2571950772749-0.257195077274869
101011.2571950772749-1.25719507727487
111211.25719507727490.74280492272513
121311.86102198479061.13897801520940
131312.76676234606420.233237653935804
141312.46484889230630.535151107693668
151310.9552816235172.04471837648299
16138.539973993454084.46002600654592
17127.634233632180484.36576636781952
18138.238060539696224.76193946030378
191212.4648488923063-0.464848892306332
201313.9744161610957-0.974416161095659
211213.9744161610957-1.97441616109566
221412.16293543854851.83706456145154
231110.65336816975910.346631830240865
241210.9552816235171.04471837648300
251311.55910853103271.44089146896727
261311.86102198479061.13897801520940
271211.55910853103270.440891468967266
281010.6533681697591-0.653368169759135
29910.3514547160013-1.35145471600127
30109.747627808485540.252372191514458
311011.8610219847906-1.86102198479060
32912.1629354385485-3.16293543854846
33712.1629354385485-5.16293543854846
341111.5591085310327-0.559108531032734
351111.2571950772749-0.257195077274869
361211.55910853103270.440891468967266
371312.16293543854850.837064561451538
381312.16293543854850.837064561451538
391211.86102198479060.138978015209402
401211.55910853103270.440891468967266
411010.955281623517-0.955281623517005
421210.04954126224341.95045873775659
431210.65336816975911.34663183024086
441210.35145471600131.64854528399873
451010.3514547160013-0.351454716001271
461310.04954126224342.95045873775659
47139.747627808485543.25237219151446
48119.747627808485541.25237219151446
491310.04954126224342.95045873775659
501210.04954126224341.95045873775659
51119.747627808485541.25237219151446
521210.04954126224341.95045873775659
53129.143800900969812.85619909903019
54117.634233632180483.36576636781952
55108.539973993454081.46002600654592
5697.936147085938351.06385291406165
57107.030406724664752.96959327533525
5897.030406724664751.96959327533525
5967.03040672466475-1.03040672466475
6077.63423363218048-0.634233632180484
6157.93614708593835-2.93614708593835
6287.332320178422620.667679821577383
6356.42657981714902-1.42657981714902
6455.21892600211756-0.218926002117562
6554.313185640843960.686814359156037
6615.52083945587543-4.52083945587543
6739.14380090096981-6.14380090096981
6859.74762780848554-4.74762780848554
6978.53997399345408-1.53997399345408
7026.72849327090689-4.72849327090689
7135.82275290963329-2.82275290963329
7226.72849327090689-4.72849327090689


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.617893137958590.7642137240828210.382106862041410
60.4505705392105240.9011410784210480.549429460789476
70.3109671874872380.6219343749744770.689032812512762
80.2152358822453180.4304717644906370.784764117754682
90.2210195349336230.4420390698672450.778980465066377
100.1538978242448270.3077956484896540.846102175755173
110.1780550472544580.3561100945089170.821944952745542
120.2217357087189710.4434714174379420.778264291281029
130.187172833939690.374345667879380.81282716606031
140.1478133738997230.2956267477994460.852186626100277
150.1576984688015770.3153969376031530.842301531198423
160.2888373490049740.5776746980099490.711162650995026
170.3201404972255070.6402809944510140.679859502774493
180.3859660574014360.7719321148028720.614033942598564
190.3207634652998780.6415269305997550.679236534700122
200.2799958861582830.5599917723165650.720004113841717
210.2349092669291520.4698185338583040.765090733070848
220.2402792552423360.4805585104846720.759720744757664
230.1845399963595950.369079992719190.815460003640405
240.1434035292869580.2868070585739170.856596470713042
250.1210545421010030.2421090842020060.878945457898997
260.09802628261314910.1960525652262980.90197371738685
270.07042268492029570.1408453698405910.929577315079704
280.05403273466163270.1080654693232650.945967265338367
290.04967920881852150.0993584176370430.950320791181478
300.03527295127314980.07054590254629950.96472704872685
310.02993279004455990.05986558008911970.97006720995544
320.03984985060507200.07969970121014390.960150149394928
330.1502551383543330.3005102767086660.849744861645667
340.1190538904107170.2381077808214350.880946109589283
350.09087519485295640.1817503897059130.909124805147044
360.06860193719478210.1372038743895640.931398062805218
370.05574761714202140.1114952342840430.944252382857979
380.04441220930430380.08882441860860760.955587790695696
390.03281865607650560.06563731215301130.967181343923494
400.02341072586415350.04682145172830690.976589274135847
410.01980346041490540.03960692082981080.980196539585095
420.01422924376406720.02845848752813440.985770756235933
430.009470574480171150.01894114896034230.990529425519829
440.006276702546121760.01255340509224350.993723297453878
450.004404514927286460.008809029854572920.995595485072714
460.004037971432889510.008075942865779020.99596202856711
470.004251314361055760.008502628722111510.995748685638944
480.002575266816049920.005150533632099830.99742473318395
490.00261837581822340.00523675163644680.997381624181777
500.001920572645421170.003841145290842340.998079427354579
510.001243953700893910.002487907401787830.998756046299106
520.001103988650928690.002207977301857380.998896011349071
530.001951550448835130.003903100897670270.998048449551165
540.00505147145400650.0101029429080130.994948528545994
550.007699909743988440.01539981948797690.992300090256012
560.01153625508627880.02307251017255760.988463744913721
570.04480577511486550.0896115502297310.955194224885134
580.1248526692610300.2497053385220590.87514733073897
590.1490115805039700.2980231610079390.85098841949603
600.1878542963126890.3757085926253780.812145703687311
610.1957630702866520.3915261405733030.804236929713348
620.3876626128850850.775325225770170.612337387114915
630.3694376668806710.7388753337613420.630562333119329
640.3704618758691450.7409237517382910.629538124130855
650.6070950744106610.7858098511786790.392904925589339
660.5578479888148950.884304022370210.442152011185105
670.6179655251529220.7640689496941550.382034474847078


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level90.142857142857143NOK
5% type I error level170.26984126984127NOK
10% type I error level240.380952380952381NOK