Free Statistics

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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_multipleregression.wasp
Title produced by softwareMultiple Regression
Date of computationWed, 31 Oct 2012 05:55:58 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/31/t135167740011a8pmeqi4zw2so.htm/, Retrieved Mon, 29 Apr 2024 00:50:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=185430, Retrieved Mon, 29 Apr 2024 00:50:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Multiple Regression] [WS 7 - 2 ] [2012-10-31 09:55:58] [18a55f974a2e8651a7d8da0218fcbdb6] [Current]
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Dataseries X:
14	501	11	20	91,81	1303,2
14	485	11	19	91,98	-58,7
15	464	11	18	91,72	-378,9
13	460	11	13	90,27	175,6
8	467	11	17	91,89	233,7
7	460	9	17	92,07	706,8
3	448	8	13	92,92	-23,6
3	443	6	14	93,34	420,9
4	436	7	13	93,6	722,1
4	431	8	17	92,41	1401,3
0	484	6	17	93,6	-94,9
-4	510	5	15	93,77	1043,6
-14	513	2	9	93,6	1300,1
-18	503	3	10	93,6	721,1
-8	471	3	9	93,51	-45,6
-1	471	7	14	92,66	787,5
1	476	8	18	94,2	694,3
2	475	7	18	94,37	1054,7
0	470	7	12	94,45	821,9
1	461	6	16	94,62	1100,7
0	455	6	12	94,37	862,4
-1	456	7	19	93,43	1656,1
-3	517	5	13	94,79	-174
-3	525	5	12	94,88	1337,6
-3	523	5	13	94,79	1394,9
-4	519	4	11	94,62	915,7
-8	509	4	10	94,71	-481,1
-9	512	4	16	93,77	167,9
-13	519	1	12	95,73	208,2
-18	517	-1	6	95,99	382,2
-11	510	3	8	95,82	1004
-9	509	4	6	95,47	864,7
-10	501	3	8	95,82	1052,9
-13	507	2	8	94,71	1417,6
-11	569	1	9	96,33	-197,7
-5	580	4	13	96,5	1262,1
-15	578	3	8	96,16	1147,2
-6	565	5	11	96,33	700,2
-6	547	6	8	96,33	45,3
-3	555	6	10	95,05	458,5
-1	562	6	15	96,84	610,2
-3	561	6	12	96,92	786,4
-4	555	6	13	97,44	787,2
-6	544	5	12	97,78	1040
0	537	6	15	97,69	324,1
-4	543	5	13	96,67	1343
-2	594	6	13	98,29	-501,2
-2	611	5	16	98,2	800,4
-6	613	7	14	98,71	916,7
-7	611	4	12	98,54	695,8
-6	594	5	15	98,2	28
-6	595	6	14	96,92	495,6
-3	591	6	19	99,06	366,2
-2	589	5	16	99,65	633
-5	584	3	16	99,82	848,3
-11	573	2	11	99,99	472,2
-11	567	3	13	100,33	357,8
-11	569	3	12	99,31	824,3
-10	621	2	11	101,1	-880,1
-14	629	0	6	101,1	1066,8
-8	628	4	9	100,93	1052,8
-9	612	4	6	100,85	-32,1
-5	595	5	15	100,93	-1331,4
-1	597	6	17	99,6	-767,1
-2	593	6	13	101,88	-236,7
-5	590	5	12	101,81	-184,9
-4	580	5	13	102,38	-143,4
-6	574	3	10	102,74	493,9
-2	573	5	14	102,82	549,7
-2	573	5	13	101,72	982,7
-2	620	5	10	103,47	-856,3
-2	626	3	11	102,98	967
2	620	6	12	102,68	659,4
1	588	6	7	102,9	577,2
-8	566	4	11	103,03	-213,1
-1	557	6	9	101,29	17,7
1	561	5	13	103,69	390,1
-1	549	4	12	103,68	509,3
2	532	5	5	104,2	410
2	526	5	13	104,08	212,5
1	511	4	11	104,16	818
-1	499	3	8	103,05	422,7
-2	555	2	8	104,66	-158
-2	565	3	8	104,46	427,2
-1	542	2	8	104,95	243,4
-8	527	-1	0	105,85	-419,3
-4	510	0	3	106,23	-1459,8
-6	514	-2	0	104,86	-1389,8
-3	517	1	-1	107,44	-2,1
-3	508	-2	-1	108,23	-938,6
-7	493	-2	-4	108,45	-839,9
-9	490	-2	1	109,39	-297,6
-11	469	-6	-1	110,15	-376,3
-13	478	-4	0	109,13	-79,4
-11	528	-2	-1	110,28	-2091,3
-9	534	0	6	110,17	-1023
-17	518	-5	0	109,99	-765,6
-22	506	-4	-3	109,26	-1592,3
-25	502	-5	-3	109,11	-1588,8
-20	516	-1	4	107,06	-1318
-24	528	-2	1	109,53	-402,4
-24	533	-4	0	108,92	-814,5
-22	536	-1	-4	109,24	-98,4
-19	537	1	-2	109,12	-305,9
-18	524	1	3	109	-18,4
-17	536	-2	2	107,23	610,3
-11	587	1	5	109,49	-917,3
-11	597	1	6	109,04	88,4
-12	581	3	6	109,02	-740,2
-10	564	3	3	109,23	29,3
-15	558	1	4	109,46	-893,2
-15	575	1	7	107,9	-1030,2
-15	580	0	5	110,42	-403,4
-13	575	2	6	110,98	-46,9
-8	563	2	1	111,48	-321,2
-13	552	-1	3	111,88	-239,9
-9	537	1	6	111,89	640,9
-7	545	0	0	109,85	511,6
-4	601	1	3	112,1	-665,1
-4	604	1	4	112,24	657,7
-2	586	3	7	112,39	-207,7
0	564	2	6	112,52	-885,2
-2	549	0	6	113,16	-1595,8
-3	551	0	6	111,84	-1374,9
1	556	3	6	114,33	-316,6
-2	548	-2	2	114,82	-283,4
-1	540	0	2	115,2	-175,8
1	531	1	2	115,4	-694,2
-3	521	-1	3	115,74	-249,9
-4	519	-2	-1	114,19	268,2
-9	572	-1	-4	115,94	-2105,1
-9	581	-1	4	116,03	-762,8
-7	563	1	5	116,24	-117,1
-14	548	-2	3	116,66	-1094,4
-12	539	-5	-1	116,79	-2095,2
-16	541	-5	-4	115,48	-1587,6
-20	562	-6	0	118,16	-528
-12	559	-4	-1	118,38	-324,2
-12	546	-3	-1	118,51	-276,1
-10	536	-3	3	118,42	-139,1
-10	528	-1	2	118,24	268
-13	530	-2	-4	116,47	570,5
-16	582	-3	-3	118,96	-316,5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 9 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]9 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Multiple Linear Regression - Estimated Regression Equation
i[t] = -50.7450835493624 -0.0477251527818315w[t] + 2.06608926081329f[t] + 0.290398884525233s[t] + 0.6060795964509c[t] -0.000397523236439083h[t] + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
i[t] =  -50.7450835493624 -0.0477251527818315w[t] +  2.06608926081329f[t] +  0.290398884525233s[t] +  0.6060795964509c[t] -0.000397523236439083h[t]  + e[t] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=1

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW][C]i[t] =  -50.7450835493624 -0.0477251527818315w[t] +  2.06608926081329f[t] +  0.290398884525233s[t] +  0.6060795964509c[t] -0.000397523236439083h[t]  + e[t][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Estimated Regression Equation
i[t] = -50.7450835493624 -0.0477251527818315w[t] + 2.06608926081329f[t] + 0.290398884525233s[t] + 0.6060795964509c[t] -0.000397523236439083h[t] + e[t]







Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)-50.74508354936248.803085-5.764500
w-0.04772515278183150.008559-5.575800
f2.066089260813290.20227210.214400
s0.2903988845252330.1312392.21280.028570.014285
c0.60607959645090.0880776.881200
h-0.0003975232364390830.000536-0.74190.4594430.229721

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Ordinary Least Squares \tabularnewline
Variable & Parameter & S.D. & T-STATH0: parameter = 0 & 2-tail p-value & 1-tail p-value \tabularnewline
(Intercept) & -50.7450835493624 & 8.803085 & -5.7645 & 0 & 0 \tabularnewline
w & -0.0477251527818315 & 0.008559 & -5.5758 & 0 & 0 \tabularnewline
f & 2.06608926081329 & 0.202272 & 10.2144 & 0 & 0 \tabularnewline
s & 0.290398884525233 & 0.131239 & 2.2128 & 0.02857 & 0.014285 \tabularnewline
c & 0.6060795964509 & 0.088077 & 6.8812 & 0 & 0 \tabularnewline
h & -0.000397523236439083 & 0.000536 & -0.7419 & 0.459443 & 0.229721 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=2

[TABLE]
[ROW][C]Multiple Linear Regression - Ordinary Least Squares[/C][/ROW]
[ROW][C]Variable[/C][C]Parameter[/C][C]S.D.[/C][C]T-STATH0: parameter = 0[/C][C]2-tail p-value[/C][C]1-tail p-value[/C][/ROW]
[ROW][C](Intercept)[/C][C]-50.7450835493624[/C][C]8.803085[/C][C]-5.7645[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]w[/C][C]-0.0477251527818315[/C][C]0.008559[/C][C]-5.5758[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]f[/C][C]2.06608926081329[/C][C]0.202272[/C][C]10.2144[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]s[/C][C]0.290398884525233[/C][C]0.131239[/C][C]2.2128[/C][C]0.02857[/C][C]0.014285[/C][/ROW]
[ROW][C]c[/C][C]0.6060795964509[/C][C]0.088077[/C][C]6.8812[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]h[/C][C]-0.000397523236439083[/C][C]0.000536[/C][C]-0.7419[/C][C]0.459443[/C][C]0.229721[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)-50.74508354936248.803085-5.764500
w-0.04772515278183150.008559-5.575800
f2.066089260813290.20227210.214400
s0.2903988845252330.1312392.21280.028570.014285
c0.60607959645090.0880776.881200
h-0.0003975232364390830.000536-0.74190.4594430.229721







Multiple Linear Regression - Regression Statistics
Multiple R0.841174135041901
R-squared0.70757392546349
Adjusted R-squared0.696901440991354
F-TEST (value)66.2988948178731
F-TEST (DF numerator)5
F-TEST (DF denominator)137
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation4.12683988179144
Sum Squared Residuals2333.22061516238

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Regression Statistics \tabularnewline
Multiple R & 0.841174135041901 \tabularnewline
R-squared & 0.70757392546349 \tabularnewline
Adjusted R-squared & 0.696901440991354 \tabularnewline
F-TEST (value) & 66.2988948178731 \tabularnewline
F-TEST (DF numerator) & 5 \tabularnewline
F-TEST (DF denominator) & 137 \tabularnewline
p-value & 0 \tabularnewline
Multiple Linear Regression - Residual Statistics \tabularnewline
Residual Standard Deviation & 4.12683988179144 \tabularnewline
Sum Squared Residuals & 2333.22061516238 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=3

[TABLE]
[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]
[ROW][C]Multiple R[/C][C]0.841174135041901[/C][/ROW]
[ROW][C]R-squared[/C][C]0.70757392546349[/C][/ROW]
[ROW][C]Adjusted R-squared[/C][C]0.696901440991354[/C][/ROW]
[ROW][C]F-TEST (value)[/C][C]66.2988948178731[/C][/ROW]
[ROW][C]F-TEST (DF numerator)[/C][C]5[/C][/ROW]
[ROW][C]F-TEST (DF denominator)[/C][C]137[/C][/ROW]
[ROW][C]p-value[/C][C]0[/C][/ROW]
[ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW]
[ROW][C]Residual Standard Deviation[/C][C]4.12683988179144[/C][/ROW]
[ROW][C]Sum Squared Residuals[/C][C]2333.22061516238[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Regression Statistics
Multiple R0.841174135041901
R-squared0.70757392546349
Adjusted R-squared0.696901440991354
F-TEST (value)66.2988948178731
F-TEST (DF numerator)5
F-TEST (DF denominator)137
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation4.12683988179144
Sum Squared Residuals2333.22061516238







Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
1149.005689934820634.99431006517937
21410.12331392190783.87668607809224
31510.80484949103154.19515050896847
4138.444513630073424.55548636992658
5810.2307859449149-2.23078594491488
676.353709576962950.646290423037048
734.50424524030909-1.50424524030909
830.9789457190291092.02105428097089
943.126558861051760.87344113894824
1045.60163692190914-1.60163692190914
1100.256034288982226-0.256034288982226
12-4-3.98125338649839-0.0187466135016118
13-14-12.2700881759784-1.72991182402158
14-18-9.20618254892336-8.79381745107664
15-8-7.71914264273271-0.280857357267286
16-11.15086455788593-2.15086455788593
1715.11033533706151-4.11033533706151
1823.05173738601406-1.05173738601406
1901.68899961993091-1.68899961993091
2011.20623632533247-0.206236325332474
2100.274201592053238-0.274201592053238
22-13.44012887833578-4.44012887833578
23-3-3.793901743953520.793901743953522
24-3-5.012450811254152.01245081125415
25-3-4.703926866293791.70392686629379
26-4-7.072453681525263.07245368152526
27-8-6.27579341789349-1.72420658210651
28-9-5.5042829702004-3.4957170297996
29-13-12.0263265375987-0.973673462401261
30-18-17.7170364088762-0.282963591123778
31-11-8.88801900691426-2.11198099308574
32-9-7.51175523429146-1.48824476570854
33-10-8.47793151813965-1.52206848186035
34-13-11.6480967720338-1.35190322796624
35-11-14.75877839072493.75877839072485
36-5-8.401162639941323.40116263994132
37-15-11.9841876607436-3.01581233925643
38-6-6.079659081292570.0796590812925652
39-6-3.76537575643805-2.23462424356195
40-3-4.506417694396021.50641769439602
41-1-2.363921138563371.36392113856337
42-3-3.208949865901730.208949865901734
43-4-2.3173566931202-1.6826433068798
44-6-4.04329496923706-1.95670503076294
450-0.5418932640890990.541893264089099
46-4-4.498368824631540.49836882463154
47-2-3.151301056800241.15130105680024
48-2-5.729484669558663.72948466955866
49-6-2.01068558075412-3.98931441924588
50-7-8.709521475148041.70952147514804
51-6-4.90150900896721-1.09849099103279
52-6-4.13520753427705-1.86479246572295
53-3-1.14386265732341-1.85613734267659
54-2-3.734170503724651.73417050372465
55-5-7.610276482850762.61027648285076
56-11-10.3508414650687-0.649158534931326
57-11-7.16605979747199-3.83394020252801
58-11-8.35555476573963-2.64444523426036
59-10-11.43132977389951.43132977389951
60-14-18.17124192943024.17124192943016
61-8-9.085431285905971.08543128590597
62-9-8.81023890347569-0.18976109652431
63-5-2.75424377582279-2.24575622417721
64-1-1.233215277124970.233215277124975
65-2-1.03289504879782-0.967104951202182
66-5-3.30922501118995-1.69077498881005
67-4-2.21260644318161-1.78739355681839
68-6-6.96478360555320.964783605553202
69-2-1.59697982192109-0.403020178078907
70-2-2.726193823920440.726193823920437
71-2-4.048788132641672.04878813264167
72-2-9.198701805694317.19870180569431
732-2.483229953444844.48322995344484
741-2.242005565797913.24200556579791
75-8-3.76968222682683-4.23031777317317
76-1-0.935101960008946-0.0648980399910543
771-0.7239429156163851.72394291561639
78-1-2.561174793320971.56117479332097
792-1.361914679360323.36191467936032
8021.253408601155150.746591398844849
811-0.8698150889289261.86981508892893
82-1-3.750006586632062.75000658663206
83-2-7.282074509541795.28207450954179
84-2-6.047083293801154.04708329380115
85-1-6.645450267513865.64545026751386
86-8-13.64212154883415.64212154883413
87-4-9.24957486298785.2495748629878
88-6-15.30200632300599.30200632300587
89-3-8.525270519799935.52527051979993
90-3-13.442928535081910.4429285350819
91-7-13.50414592914756.50414592914746
92-9-11.55483807863292.55483807863287
93-11-18.90585911050767.90585911050758
94-13-15.64903391667092.64903391667094
95-11-12.69674338335081.69674338335084
96-9-7.3094664158361-1.6905335841639
97-17-18.83012039096521.83012039096521
98-22-17.1763315961906-4.82366840380939
99-25-19.1438235166717-5.85617648332825
100-20-10.8649388858397-9.13506111416034
101-24-13.2418823056605-10.7581176943395
102-24-18.10897470382-5.89102529618001
103-22-13.3061988365763-8.6938011634237
104-19-8.63119117869408-10.3688088213059
105-18-6.74578725195445-11.2542127480455
106-17-15.1298394967689-1.87016050323113
107-11-8.51736146866334-2.48263853133666
108-11-9.3767390492461-1.62326095075389
109-12-4.16369192132583-7.83630807867417
110-10-4.40217839279557-5.59782160720443
111-15-7.45149362040717-7.54850637959283
112-15-8.28264805119385-6.71735194880615
113-15-9.89000782651051-5.10999217348949
114-13-5.03111711622757-7.96888288377243
115-8-5.49832928349107-2.50167071650893
116-13-10.3807094168225-2.61929058317754
117-9-5.00553462058375-3.99446537941625
118-7-10.38082103309143.38082103309135
119-4-8.284698990152534.28469899015253
120-4-8.578468157631294.57846815763129
121-2-2.281111684074020.281111684074025
1220-3.239534127986163.23953412798616
123-2-5.985464404343073.98546440434307
124-3-6.968752660151313.96875266015131
12510.0793287124186480.920671287581352
126-2-10.74713067668298.74713067668291
127-1-6.045614186391185.04561418639118
1281-3.222706585481214.22270658548121
129-3-6.557787205920823.55778720592082
130-4-10.83540186256946.83540186256936
131-9-10.16586116193891.16586116193889
132-9-8.7512447373651-0.248755262634896
133-7-3.59901861965436-3.40098138034564
134-14-9.01915398993592-4.98084601006408
135-12-15.47285933287343.47285933287337
136-16-17.43525335817991.4352533581799
137-20-18.1388975921532-1.86110240784684
138-12-14.10162022107342.10162022107341
139-12-11.3554344942304-0.644565505769591
140-10-9.8255952753839-0.174404724616103
141-10-5.87294045294342-4.12705954705658
142-13-10.9698849912127-2.03011500878731
143-16-13.3655420062718-2.63445799372823

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Actuals, Interpolation, and Residuals \tabularnewline
Time or Index & Actuals & InterpolationForecast & ResidualsPrediction Error \tabularnewline
1 & 14 & 9.00568993482063 & 4.99431006517937 \tabularnewline
2 & 14 & 10.1233139219078 & 3.87668607809224 \tabularnewline
3 & 15 & 10.8048494910315 & 4.19515050896847 \tabularnewline
4 & 13 & 8.44451363007342 & 4.55548636992658 \tabularnewline
5 & 8 & 10.2307859449149 & -2.23078594491488 \tabularnewline
6 & 7 & 6.35370957696295 & 0.646290423037048 \tabularnewline
7 & 3 & 4.50424524030909 & -1.50424524030909 \tabularnewline
8 & 3 & 0.978945719029109 & 2.02105428097089 \tabularnewline
9 & 4 & 3.12655886105176 & 0.87344113894824 \tabularnewline
10 & 4 & 5.60163692190914 & -1.60163692190914 \tabularnewline
11 & 0 & 0.256034288982226 & -0.256034288982226 \tabularnewline
12 & -4 & -3.98125338649839 & -0.0187466135016118 \tabularnewline
13 & -14 & -12.2700881759784 & -1.72991182402158 \tabularnewline
14 & -18 & -9.20618254892336 & -8.79381745107664 \tabularnewline
15 & -8 & -7.71914264273271 & -0.280857357267286 \tabularnewline
16 & -1 & 1.15086455788593 & -2.15086455788593 \tabularnewline
17 & 1 & 5.11033533706151 & -4.11033533706151 \tabularnewline
18 & 2 & 3.05173738601406 & -1.05173738601406 \tabularnewline
19 & 0 & 1.68899961993091 & -1.68899961993091 \tabularnewline
20 & 1 & 1.20623632533247 & -0.206236325332474 \tabularnewline
21 & 0 & 0.274201592053238 & -0.274201592053238 \tabularnewline
22 & -1 & 3.44012887833578 & -4.44012887833578 \tabularnewline
23 & -3 & -3.79390174395352 & 0.793901743953522 \tabularnewline
24 & -3 & -5.01245081125415 & 2.01245081125415 \tabularnewline
25 & -3 & -4.70392686629379 & 1.70392686629379 \tabularnewline
26 & -4 & -7.07245368152526 & 3.07245368152526 \tabularnewline
27 & -8 & -6.27579341789349 & -1.72420658210651 \tabularnewline
28 & -9 & -5.5042829702004 & -3.4957170297996 \tabularnewline
29 & -13 & -12.0263265375987 & -0.973673462401261 \tabularnewline
30 & -18 & -17.7170364088762 & -0.282963591123778 \tabularnewline
31 & -11 & -8.88801900691426 & -2.11198099308574 \tabularnewline
32 & -9 & -7.51175523429146 & -1.48824476570854 \tabularnewline
33 & -10 & -8.47793151813965 & -1.52206848186035 \tabularnewline
34 & -13 & -11.6480967720338 & -1.35190322796624 \tabularnewline
35 & -11 & -14.7587783907249 & 3.75877839072485 \tabularnewline
36 & -5 & -8.40116263994132 & 3.40116263994132 \tabularnewline
37 & -15 & -11.9841876607436 & -3.01581233925643 \tabularnewline
38 & -6 & -6.07965908129257 & 0.0796590812925652 \tabularnewline
39 & -6 & -3.76537575643805 & -2.23462424356195 \tabularnewline
40 & -3 & -4.50641769439602 & 1.50641769439602 \tabularnewline
41 & -1 & -2.36392113856337 & 1.36392113856337 \tabularnewline
42 & -3 & -3.20894986590173 & 0.208949865901734 \tabularnewline
43 & -4 & -2.3173566931202 & -1.6826433068798 \tabularnewline
44 & -6 & -4.04329496923706 & -1.95670503076294 \tabularnewline
45 & 0 & -0.541893264089099 & 0.541893264089099 \tabularnewline
46 & -4 & -4.49836882463154 & 0.49836882463154 \tabularnewline
47 & -2 & -3.15130105680024 & 1.15130105680024 \tabularnewline
48 & -2 & -5.72948466955866 & 3.72948466955866 \tabularnewline
49 & -6 & -2.01068558075412 & -3.98931441924588 \tabularnewline
50 & -7 & -8.70952147514804 & 1.70952147514804 \tabularnewline
51 & -6 & -4.90150900896721 & -1.09849099103279 \tabularnewline
52 & -6 & -4.13520753427705 & -1.86479246572295 \tabularnewline
53 & -3 & -1.14386265732341 & -1.85613734267659 \tabularnewline
54 & -2 & -3.73417050372465 & 1.73417050372465 \tabularnewline
55 & -5 & -7.61027648285076 & 2.61027648285076 \tabularnewline
56 & -11 & -10.3508414650687 & -0.649158534931326 \tabularnewline
57 & -11 & -7.16605979747199 & -3.83394020252801 \tabularnewline
58 & -11 & -8.35555476573963 & -2.64444523426036 \tabularnewline
59 & -10 & -11.4313297738995 & 1.43132977389951 \tabularnewline
60 & -14 & -18.1712419294302 & 4.17124192943016 \tabularnewline
61 & -8 & -9.08543128590597 & 1.08543128590597 \tabularnewline
62 & -9 & -8.81023890347569 & -0.18976109652431 \tabularnewline
63 & -5 & -2.75424377582279 & -2.24575622417721 \tabularnewline
64 & -1 & -1.23321527712497 & 0.233215277124975 \tabularnewline
65 & -2 & -1.03289504879782 & -0.967104951202182 \tabularnewline
66 & -5 & -3.30922501118995 & -1.69077498881005 \tabularnewline
67 & -4 & -2.21260644318161 & -1.78739355681839 \tabularnewline
68 & -6 & -6.9647836055532 & 0.964783605553202 \tabularnewline
69 & -2 & -1.59697982192109 & -0.403020178078907 \tabularnewline
70 & -2 & -2.72619382392044 & 0.726193823920437 \tabularnewline
71 & -2 & -4.04878813264167 & 2.04878813264167 \tabularnewline
72 & -2 & -9.19870180569431 & 7.19870180569431 \tabularnewline
73 & 2 & -2.48322995344484 & 4.48322995344484 \tabularnewline
74 & 1 & -2.24200556579791 & 3.24200556579791 \tabularnewline
75 & -8 & -3.76968222682683 & -4.23031777317317 \tabularnewline
76 & -1 & -0.935101960008946 & -0.0648980399910543 \tabularnewline
77 & 1 & -0.723942915616385 & 1.72394291561639 \tabularnewline
78 & -1 & -2.56117479332097 & 1.56117479332097 \tabularnewline
79 & 2 & -1.36191467936032 & 3.36191467936032 \tabularnewline
80 & 2 & 1.25340860115515 & 0.746591398844849 \tabularnewline
81 & 1 & -0.869815088928926 & 1.86981508892893 \tabularnewline
82 & -1 & -3.75000658663206 & 2.75000658663206 \tabularnewline
83 & -2 & -7.28207450954179 & 5.28207450954179 \tabularnewline
84 & -2 & -6.04708329380115 & 4.04708329380115 \tabularnewline
85 & -1 & -6.64545026751386 & 5.64545026751386 \tabularnewline
86 & -8 & -13.6421215488341 & 5.64212154883413 \tabularnewline
87 & -4 & -9.2495748629878 & 5.2495748629878 \tabularnewline
88 & -6 & -15.3020063230059 & 9.30200632300587 \tabularnewline
89 & -3 & -8.52527051979993 & 5.52527051979993 \tabularnewline
90 & -3 & -13.4429285350819 & 10.4429285350819 \tabularnewline
91 & -7 & -13.5041459291475 & 6.50414592914746 \tabularnewline
92 & -9 & -11.5548380786329 & 2.55483807863287 \tabularnewline
93 & -11 & -18.9058591105076 & 7.90585911050758 \tabularnewline
94 & -13 & -15.6490339166709 & 2.64903391667094 \tabularnewline
95 & -11 & -12.6967433833508 & 1.69674338335084 \tabularnewline
96 & -9 & -7.3094664158361 & -1.6905335841639 \tabularnewline
97 & -17 & -18.8301203909652 & 1.83012039096521 \tabularnewline
98 & -22 & -17.1763315961906 & -4.82366840380939 \tabularnewline
99 & -25 & -19.1438235166717 & -5.85617648332825 \tabularnewline
100 & -20 & -10.8649388858397 & -9.13506111416034 \tabularnewline
101 & -24 & -13.2418823056605 & -10.7581176943395 \tabularnewline
102 & -24 & -18.10897470382 & -5.89102529618001 \tabularnewline
103 & -22 & -13.3061988365763 & -8.6938011634237 \tabularnewline
104 & -19 & -8.63119117869408 & -10.3688088213059 \tabularnewline
105 & -18 & -6.74578725195445 & -11.2542127480455 \tabularnewline
106 & -17 & -15.1298394967689 & -1.87016050323113 \tabularnewline
107 & -11 & -8.51736146866334 & -2.48263853133666 \tabularnewline
108 & -11 & -9.3767390492461 & -1.62326095075389 \tabularnewline
109 & -12 & -4.16369192132583 & -7.83630807867417 \tabularnewline
110 & -10 & -4.40217839279557 & -5.59782160720443 \tabularnewline
111 & -15 & -7.45149362040717 & -7.54850637959283 \tabularnewline
112 & -15 & -8.28264805119385 & -6.71735194880615 \tabularnewline
113 & -15 & -9.89000782651051 & -5.10999217348949 \tabularnewline
114 & -13 & -5.03111711622757 & -7.96888288377243 \tabularnewline
115 & -8 & -5.49832928349107 & -2.50167071650893 \tabularnewline
116 & -13 & -10.3807094168225 & -2.61929058317754 \tabularnewline
117 & -9 & -5.00553462058375 & -3.99446537941625 \tabularnewline
118 & -7 & -10.3808210330914 & 3.38082103309135 \tabularnewline
119 & -4 & -8.28469899015253 & 4.28469899015253 \tabularnewline
120 & -4 & -8.57846815763129 & 4.57846815763129 \tabularnewline
121 & -2 & -2.28111168407402 & 0.281111684074025 \tabularnewline
122 & 0 & -3.23953412798616 & 3.23953412798616 \tabularnewline
123 & -2 & -5.98546440434307 & 3.98546440434307 \tabularnewline
124 & -3 & -6.96875266015131 & 3.96875266015131 \tabularnewline
125 & 1 & 0.079328712418648 & 0.920671287581352 \tabularnewline
126 & -2 & -10.7471306766829 & 8.74713067668291 \tabularnewline
127 & -1 & -6.04561418639118 & 5.04561418639118 \tabularnewline
128 & 1 & -3.22270658548121 & 4.22270658548121 \tabularnewline
129 & -3 & -6.55778720592082 & 3.55778720592082 \tabularnewline
130 & -4 & -10.8354018625694 & 6.83540186256936 \tabularnewline
131 & -9 & -10.1658611619389 & 1.16586116193889 \tabularnewline
132 & -9 & -8.7512447373651 & -0.248755262634896 \tabularnewline
133 & -7 & -3.59901861965436 & -3.40098138034564 \tabularnewline
134 & -14 & -9.01915398993592 & -4.98084601006408 \tabularnewline
135 & -12 & -15.4728593328734 & 3.47285933287337 \tabularnewline
136 & -16 & -17.4352533581799 & 1.4352533581799 \tabularnewline
137 & -20 & -18.1388975921532 & -1.86110240784684 \tabularnewline
138 & -12 & -14.1016202210734 & 2.10162022107341 \tabularnewline
139 & -12 & -11.3554344942304 & -0.644565505769591 \tabularnewline
140 & -10 & -9.8255952753839 & -0.174404724616103 \tabularnewline
141 & -10 & -5.87294045294342 & -4.12705954705658 \tabularnewline
142 & -13 & -10.9698849912127 & -2.03011500878731 \tabularnewline
143 & -16 & -13.3655420062718 & -2.63445799372823 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=4

[TABLE]
[ROW][C]Multiple Linear Regression - Actuals, Interpolation, and Residuals[/C][/ROW]
[ROW][C]Time or Index[/C][C]Actuals[/C][C]InterpolationForecast[/C][C]ResidualsPrediction Error[/C][/ROW]
[ROW][C]1[/C][C]14[/C][C]9.00568993482063[/C][C]4.99431006517937[/C][/ROW]
[ROW][C]2[/C][C]14[/C][C]10.1233139219078[/C][C]3.87668607809224[/C][/ROW]
[ROW][C]3[/C][C]15[/C][C]10.8048494910315[/C][C]4.19515050896847[/C][/ROW]
[ROW][C]4[/C][C]13[/C][C]8.44451363007342[/C][C]4.55548636992658[/C][/ROW]
[ROW][C]5[/C][C]8[/C][C]10.2307859449149[/C][C]-2.23078594491488[/C][/ROW]
[ROW][C]6[/C][C]7[/C][C]6.35370957696295[/C][C]0.646290423037048[/C][/ROW]
[ROW][C]7[/C][C]3[/C][C]4.50424524030909[/C][C]-1.50424524030909[/C][/ROW]
[ROW][C]8[/C][C]3[/C][C]0.978945719029109[/C][C]2.02105428097089[/C][/ROW]
[ROW][C]9[/C][C]4[/C][C]3.12655886105176[/C][C]0.87344113894824[/C][/ROW]
[ROW][C]10[/C][C]4[/C][C]5.60163692190914[/C][C]-1.60163692190914[/C][/ROW]
[ROW][C]11[/C][C]0[/C][C]0.256034288982226[/C][C]-0.256034288982226[/C][/ROW]
[ROW][C]12[/C][C]-4[/C][C]-3.98125338649839[/C][C]-0.0187466135016118[/C][/ROW]
[ROW][C]13[/C][C]-14[/C][C]-12.2700881759784[/C][C]-1.72991182402158[/C][/ROW]
[ROW][C]14[/C][C]-18[/C][C]-9.20618254892336[/C][C]-8.79381745107664[/C][/ROW]
[ROW][C]15[/C][C]-8[/C][C]-7.71914264273271[/C][C]-0.280857357267286[/C][/ROW]
[ROW][C]16[/C][C]-1[/C][C]1.15086455788593[/C][C]-2.15086455788593[/C][/ROW]
[ROW][C]17[/C][C]1[/C][C]5.11033533706151[/C][C]-4.11033533706151[/C][/ROW]
[ROW][C]18[/C][C]2[/C][C]3.05173738601406[/C][C]-1.05173738601406[/C][/ROW]
[ROW][C]19[/C][C]0[/C][C]1.68899961993091[/C][C]-1.68899961993091[/C][/ROW]
[ROW][C]20[/C][C]1[/C][C]1.20623632533247[/C][C]-0.206236325332474[/C][/ROW]
[ROW][C]21[/C][C]0[/C][C]0.274201592053238[/C][C]-0.274201592053238[/C][/ROW]
[ROW][C]22[/C][C]-1[/C][C]3.44012887833578[/C][C]-4.44012887833578[/C][/ROW]
[ROW][C]23[/C][C]-3[/C][C]-3.79390174395352[/C][C]0.793901743953522[/C][/ROW]
[ROW][C]24[/C][C]-3[/C][C]-5.01245081125415[/C][C]2.01245081125415[/C][/ROW]
[ROW][C]25[/C][C]-3[/C][C]-4.70392686629379[/C][C]1.70392686629379[/C][/ROW]
[ROW][C]26[/C][C]-4[/C][C]-7.07245368152526[/C][C]3.07245368152526[/C][/ROW]
[ROW][C]27[/C][C]-8[/C][C]-6.27579341789349[/C][C]-1.72420658210651[/C][/ROW]
[ROW][C]28[/C][C]-9[/C][C]-5.5042829702004[/C][C]-3.4957170297996[/C][/ROW]
[ROW][C]29[/C][C]-13[/C][C]-12.0263265375987[/C][C]-0.973673462401261[/C][/ROW]
[ROW][C]30[/C][C]-18[/C][C]-17.7170364088762[/C][C]-0.282963591123778[/C][/ROW]
[ROW][C]31[/C][C]-11[/C][C]-8.88801900691426[/C][C]-2.11198099308574[/C][/ROW]
[ROW][C]32[/C][C]-9[/C][C]-7.51175523429146[/C][C]-1.48824476570854[/C][/ROW]
[ROW][C]33[/C][C]-10[/C][C]-8.47793151813965[/C][C]-1.52206848186035[/C][/ROW]
[ROW][C]34[/C][C]-13[/C][C]-11.6480967720338[/C][C]-1.35190322796624[/C][/ROW]
[ROW][C]35[/C][C]-11[/C][C]-14.7587783907249[/C][C]3.75877839072485[/C][/ROW]
[ROW][C]36[/C][C]-5[/C][C]-8.40116263994132[/C][C]3.40116263994132[/C][/ROW]
[ROW][C]37[/C][C]-15[/C][C]-11.9841876607436[/C][C]-3.01581233925643[/C][/ROW]
[ROW][C]38[/C][C]-6[/C][C]-6.07965908129257[/C][C]0.0796590812925652[/C][/ROW]
[ROW][C]39[/C][C]-6[/C][C]-3.76537575643805[/C][C]-2.23462424356195[/C][/ROW]
[ROW][C]40[/C][C]-3[/C][C]-4.50641769439602[/C][C]1.50641769439602[/C][/ROW]
[ROW][C]41[/C][C]-1[/C][C]-2.36392113856337[/C][C]1.36392113856337[/C][/ROW]
[ROW][C]42[/C][C]-3[/C][C]-3.20894986590173[/C][C]0.208949865901734[/C][/ROW]
[ROW][C]43[/C][C]-4[/C][C]-2.3173566931202[/C][C]-1.6826433068798[/C][/ROW]
[ROW][C]44[/C][C]-6[/C][C]-4.04329496923706[/C][C]-1.95670503076294[/C][/ROW]
[ROW][C]45[/C][C]0[/C][C]-0.541893264089099[/C][C]0.541893264089099[/C][/ROW]
[ROW][C]46[/C][C]-4[/C][C]-4.49836882463154[/C][C]0.49836882463154[/C][/ROW]
[ROW][C]47[/C][C]-2[/C][C]-3.15130105680024[/C][C]1.15130105680024[/C][/ROW]
[ROW][C]48[/C][C]-2[/C][C]-5.72948466955866[/C][C]3.72948466955866[/C][/ROW]
[ROW][C]49[/C][C]-6[/C][C]-2.01068558075412[/C][C]-3.98931441924588[/C][/ROW]
[ROW][C]50[/C][C]-7[/C][C]-8.70952147514804[/C][C]1.70952147514804[/C][/ROW]
[ROW][C]51[/C][C]-6[/C][C]-4.90150900896721[/C][C]-1.09849099103279[/C][/ROW]
[ROW][C]52[/C][C]-6[/C][C]-4.13520753427705[/C][C]-1.86479246572295[/C][/ROW]
[ROW][C]53[/C][C]-3[/C][C]-1.14386265732341[/C][C]-1.85613734267659[/C][/ROW]
[ROW][C]54[/C][C]-2[/C][C]-3.73417050372465[/C][C]1.73417050372465[/C][/ROW]
[ROW][C]55[/C][C]-5[/C][C]-7.61027648285076[/C][C]2.61027648285076[/C][/ROW]
[ROW][C]56[/C][C]-11[/C][C]-10.3508414650687[/C][C]-0.649158534931326[/C][/ROW]
[ROW][C]57[/C][C]-11[/C][C]-7.16605979747199[/C][C]-3.83394020252801[/C][/ROW]
[ROW][C]58[/C][C]-11[/C][C]-8.35555476573963[/C][C]-2.64444523426036[/C][/ROW]
[ROW][C]59[/C][C]-10[/C][C]-11.4313297738995[/C][C]1.43132977389951[/C][/ROW]
[ROW][C]60[/C][C]-14[/C][C]-18.1712419294302[/C][C]4.17124192943016[/C][/ROW]
[ROW][C]61[/C][C]-8[/C][C]-9.08543128590597[/C][C]1.08543128590597[/C][/ROW]
[ROW][C]62[/C][C]-9[/C][C]-8.81023890347569[/C][C]-0.18976109652431[/C][/ROW]
[ROW][C]63[/C][C]-5[/C][C]-2.75424377582279[/C][C]-2.24575622417721[/C][/ROW]
[ROW][C]64[/C][C]-1[/C][C]-1.23321527712497[/C][C]0.233215277124975[/C][/ROW]
[ROW][C]65[/C][C]-2[/C][C]-1.03289504879782[/C][C]-0.967104951202182[/C][/ROW]
[ROW][C]66[/C][C]-5[/C][C]-3.30922501118995[/C][C]-1.69077498881005[/C][/ROW]
[ROW][C]67[/C][C]-4[/C][C]-2.21260644318161[/C][C]-1.78739355681839[/C][/ROW]
[ROW][C]68[/C][C]-6[/C][C]-6.9647836055532[/C][C]0.964783605553202[/C][/ROW]
[ROW][C]69[/C][C]-2[/C][C]-1.59697982192109[/C][C]-0.403020178078907[/C][/ROW]
[ROW][C]70[/C][C]-2[/C][C]-2.72619382392044[/C][C]0.726193823920437[/C][/ROW]
[ROW][C]71[/C][C]-2[/C][C]-4.04878813264167[/C][C]2.04878813264167[/C][/ROW]
[ROW][C]72[/C][C]-2[/C][C]-9.19870180569431[/C][C]7.19870180569431[/C][/ROW]
[ROW][C]73[/C][C]2[/C][C]-2.48322995344484[/C][C]4.48322995344484[/C][/ROW]
[ROW][C]74[/C][C]1[/C][C]-2.24200556579791[/C][C]3.24200556579791[/C][/ROW]
[ROW][C]75[/C][C]-8[/C][C]-3.76968222682683[/C][C]-4.23031777317317[/C][/ROW]
[ROW][C]76[/C][C]-1[/C][C]-0.935101960008946[/C][C]-0.0648980399910543[/C][/ROW]
[ROW][C]77[/C][C]1[/C][C]-0.723942915616385[/C][C]1.72394291561639[/C][/ROW]
[ROW][C]78[/C][C]-1[/C][C]-2.56117479332097[/C][C]1.56117479332097[/C][/ROW]
[ROW][C]79[/C][C]2[/C][C]-1.36191467936032[/C][C]3.36191467936032[/C][/ROW]
[ROW][C]80[/C][C]2[/C][C]1.25340860115515[/C][C]0.746591398844849[/C][/ROW]
[ROW][C]81[/C][C]1[/C][C]-0.869815088928926[/C][C]1.86981508892893[/C][/ROW]
[ROW][C]82[/C][C]-1[/C][C]-3.75000658663206[/C][C]2.75000658663206[/C][/ROW]
[ROW][C]83[/C][C]-2[/C][C]-7.28207450954179[/C][C]5.28207450954179[/C][/ROW]
[ROW][C]84[/C][C]-2[/C][C]-6.04708329380115[/C][C]4.04708329380115[/C][/ROW]
[ROW][C]85[/C][C]-1[/C][C]-6.64545026751386[/C][C]5.64545026751386[/C][/ROW]
[ROW][C]86[/C][C]-8[/C][C]-13.6421215488341[/C][C]5.64212154883413[/C][/ROW]
[ROW][C]87[/C][C]-4[/C][C]-9.2495748629878[/C][C]5.2495748629878[/C][/ROW]
[ROW][C]88[/C][C]-6[/C][C]-15.3020063230059[/C][C]9.30200632300587[/C][/ROW]
[ROW][C]89[/C][C]-3[/C][C]-8.52527051979993[/C][C]5.52527051979993[/C][/ROW]
[ROW][C]90[/C][C]-3[/C][C]-13.4429285350819[/C][C]10.4429285350819[/C][/ROW]
[ROW][C]91[/C][C]-7[/C][C]-13.5041459291475[/C][C]6.50414592914746[/C][/ROW]
[ROW][C]92[/C][C]-9[/C][C]-11.5548380786329[/C][C]2.55483807863287[/C][/ROW]
[ROW][C]93[/C][C]-11[/C][C]-18.9058591105076[/C][C]7.90585911050758[/C][/ROW]
[ROW][C]94[/C][C]-13[/C][C]-15.6490339166709[/C][C]2.64903391667094[/C][/ROW]
[ROW][C]95[/C][C]-11[/C][C]-12.6967433833508[/C][C]1.69674338335084[/C][/ROW]
[ROW][C]96[/C][C]-9[/C][C]-7.3094664158361[/C][C]-1.6905335841639[/C][/ROW]
[ROW][C]97[/C][C]-17[/C][C]-18.8301203909652[/C][C]1.83012039096521[/C][/ROW]
[ROW][C]98[/C][C]-22[/C][C]-17.1763315961906[/C][C]-4.82366840380939[/C][/ROW]
[ROW][C]99[/C][C]-25[/C][C]-19.1438235166717[/C][C]-5.85617648332825[/C][/ROW]
[ROW][C]100[/C][C]-20[/C][C]-10.8649388858397[/C][C]-9.13506111416034[/C][/ROW]
[ROW][C]101[/C][C]-24[/C][C]-13.2418823056605[/C][C]-10.7581176943395[/C][/ROW]
[ROW][C]102[/C][C]-24[/C][C]-18.10897470382[/C][C]-5.89102529618001[/C][/ROW]
[ROW][C]103[/C][C]-22[/C][C]-13.3061988365763[/C][C]-8.6938011634237[/C][/ROW]
[ROW][C]104[/C][C]-19[/C][C]-8.63119117869408[/C][C]-10.3688088213059[/C][/ROW]
[ROW][C]105[/C][C]-18[/C][C]-6.74578725195445[/C][C]-11.2542127480455[/C][/ROW]
[ROW][C]106[/C][C]-17[/C][C]-15.1298394967689[/C][C]-1.87016050323113[/C][/ROW]
[ROW][C]107[/C][C]-11[/C][C]-8.51736146866334[/C][C]-2.48263853133666[/C][/ROW]
[ROW][C]108[/C][C]-11[/C][C]-9.3767390492461[/C][C]-1.62326095075389[/C][/ROW]
[ROW][C]109[/C][C]-12[/C][C]-4.16369192132583[/C][C]-7.83630807867417[/C][/ROW]
[ROW][C]110[/C][C]-10[/C][C]-4.40217839279557[/C][C]-5.59782160720443[/C][/ROW]
[ROW][C]111[/C][C]-15[/C][C]-7.45149362040717[/C][C]-7.54850637959283[/C][/ROW]
[ROW][C]112[/C][C]-15[/C][C]-8.28264805119385[/C][C]-6.71735194880615[/C][/ROW]
[ROW][C]113[/C][C]-15[/C][C]-9.89000782651051[/C][C]-5.10999217348949[/C][/ROW]
[ROW][C]114[/C][C]-13[/C][C]-5.03111711622757[/C][C]-7.96888288377243[/C][/ROW]
[ROW][C]115[/C][C]-8[/C][C]-5.49832928349107[/C][C]-2.50167071650893[/C][/ROW]
[ROW][C]116[/C][C]-13[/C][C]-10.3807094168225[/C][C]-2.61929058317754[/C][/ROW]
[ROW][C]117[/C][C]-9[/C][C]-5.00553462058375[/C][C]-3.99446537941625[/C][/ROW]
[ROW][C]118[/C][C]-7[/C][C]-10.3808210330914[/C][C]3.38082103309135[/C][/ROW]
[ROW][C]119[/C][C]-4[/C][C]-8.28469899015253[/C][C]4.28469899015253[/C][/ROW]
[ROW][C]120[/C][C]-4[/C][C]-8.57846815763129[/C][C]4.57846815763129[/C][/ROW]
[ROW][C]121[/C][C]-2[/C][C]-2.28111168407402[/C][C]0.281111684074025[/C][/ROW]
[ROW][C]122[/C][C]0[/C][C]-3.23953412798616[/C][C]3.23953412798616[/C][/ROW]
[ROW][C]123[/C][C]-2[/C][C]-5.98546440434307[/C][C]3.98546440434307[/C][/ROW]
[ROW][C]124[/C][C]-3[/C][C]-6.96875266015131[/C][C]3.96875266015131[/C][/ROW]
[ROW][C]125[/C][C]1[/C][C]0.079328712418648[/C][C]0.920671287581352[/C][/ROW]
[ROW][C]126[/C][C]-2[/C][C]-10.7471306766829[/C][C]8.74713067668291[/C][/ROW]
[ROW][C]127[/C][C]-1[/C][C]-6.04561418639118[/C][C]5.04561418639118[/C][/ROW]
[ROW][C]128[/C][C]1[/C][C]-3.22270658548121[/C][C]4.22270658548121[/C][/ROW]
[ROW][C]129[/C][C]-3[/C][C]-6.55778720592082[/C][C]3.55778720592082[/C][/ROW]
[ROW][C]130[/C][C]-4[/C][C]-10.8354018625694[/C][C]6.83540186256936[/C][/ROW]
[ROW][C]131[/C][C]-9[/C][C]-10.1658611619389[/C][C]1.16586116193889[/C][/ROW]
[ROW][C]132[/C][C]-9[/C][C]-8.7512447373651[/C][C]-0.248755262634896[/C][/ROW]
[ROW][C]133[/C][C]-7[/C][C]-3.59901861965436[/C][C]-3.40098138034564[/C][/ROW]
[ROW][C]134[/C][C]-14[/C][C]-9.01915398993592[/C][C]-4.98084601006408[/C][/ROW]
[ROW][C]135[/C][C]-12[/C][C]-15.4728593328734[/C][C]3.47285933287337[/C][/ROW]
[ROW][C]136[/C][C]-16[/C][C]-17.4352533581799[/C][C]1.4352533581799[/C][/ROW]
[ROW][C]137[/C][C]-20[/C][C]-18.1388975921532[/C][C]-1.86110240784684[/C][/ROW]
[ROW][C]138[/C][C]-12[/C][C]-14.1016202210734[/C][C]2.10162022107341[/C][/ROW]
[ROW][C]139[/C][C]-12[/C][C]-11.3554344942304[/C][C]-0.644565505769591[/C][/ROW]
[ROW][C]140[/C][C]-10[/C][C]-9.8255952753839[/C][C]-0.174404724616103[/C][/ROW]
[ROW][C]141[/C][C]-10[/C][C]-5.87294045294342[/C][C]-4.12705954705658[/C][/ROW]
[ROW][C]142[/C][C]-13[/C][C]-10.9698849912127[/C][C]-2.03011500878731[/C][/ROW]
[ROW][C]143[/C][C]-16[/C][C]-13.3655420062718[/C][C]-2.63445799372823[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
1149.005689934820634.99431006517937
21410.12331392190783.87668607809224
31510.80484949103154.19515050896847
4138.444513630073424.55548636992658
5810.2307859449149-2.23078594491488
676.353709576962950.646290423037048
734.50424524030909-1.50424524030909
830.9789457190291092.02105428097089
943.126558861051760.87344113894824
1045.60163692190914-1.60163692190914
1100.256034288982226-0.256034288982226
12-4-3.98125338649839-0.0187466135016118
13-14-12.2700881759784-1.72991182402158
14-18-9.20618254892336-8.79381745107664
15-8-7.71914264273271-0.280857357267286
16-11.15086455788593-2.15086455788593
1715.11033533706151-4.11033533706151
1823.05173738601406-1.05173738601406
1901.68899961993091-1.68899961993091
2011.20623632533247-0.206236325332474
2100.274201592053238-0.274201592053238
22-13.44012887833578-4.44012887833578
23-3-3.793901743953520.793901743953522
24-3-5.012450811254152.01245081125415
25-3-4.703926866293791.70392686629379
26-4-7.072453681525263.07245368152526
27-8-6.27579341789349-1.72420658210651
28-9-5.5042829702004-3.4957170297996
29-13-12.0263265375987-0.973673462401261
30-18-17.7170364088762-0.282963591123778
31-11-8.88801900691426-2.11198099308574
32-9-7.51175523429146-1.48824476570854
33-10-8.47793151813965-1.52206848186035
34-13-11.6480967720338-1.35190322796624
35-11-14.75877839072493.75877839072485
36-5-8.401162639941323.40116263994132
37-15-11.9841876607436-3.01581233925643
38-6-6.079659081292570.0796590812925652
39-6-3.76537575643805-2.23462424356195
40-3-4.506417694396021.50641769439602
41-1-2.363921138563371.36392113856337
42-3-3.208949865901730.208949865901734
43-4-2.3173566931202-1.6826433068798
44-6-4.04329496923706-1.95670503076294
450-0.5418932640890990.541893264089099
46-4-4.498368824631540.49836882463154
47-2-3.151301056800241.15130105680024
48-2-5.729484669558663.72948466955866
49-6-2.01068558075412-3.98931441924588
50-7-8.709521475148041.70952147514804
51-6-4.90150900896721-1.09849099103279
52-6-4.13520753427705-1.86479246572295
53-3-1.14386265732341-1.85613734267659
54-2-3.734170503724651.73417050372465
55-5-7.610276482850762.61027648285076
56-11-10.3508414650687-0.649158534931326
57-11-7.16605979747199-3.83394020252801
58-11-8.35555476573963-2.64444523426036
59-10-11.43132977389951.43132977389951
60-14-18.17124192943024.17124192943016
61-8-9.085431285905971.08543128590597
62-9-8.81023890347569-0.18976109652431
63-5-2.75424377582279-2.24575622417721
64-1-1.233215277124970.233215277124975
65-2-1.03289504879782-0.967104951202182
66-5-3.30922501118995-1.69077498881005
67-4-2.21260644318161-1.78739355681839
68-6-6.96478360555320.964783605553202
69-2-1.59697982192109-0.403020178078907
70-2-2.726193823920440.726193823920437
71-2-4.048788132641672.04878813264167
72-2-9.198701805694317.19870180569431
732-2.483229953444844.48322995344484
741-2.242005565797913.24200556579791
75-8-3.76968222682683-4.23031777317317
76-1-0.935101960008946-0.0648980399910543
771-0.7239429156163851.72394291561639
78-1-2.561174793320971.56117479332097
792-1.361914679360323.36191467936032
8021.253408601155150.746591398844849
811-0.8698150889289261.86981508892893
82-1-3.750006586632062.75000658663206
83-2-7.282074509541795.28207450954179
84-2-6.047083293801154.04708329380115
85-1-6.645450267513865.64545026751386
86-8-13.64212154883415.64212154883413
87-4-9.24957486298785.2495748629878
88-6-15.30200632300599.30200632300587
89-3-8.525270519799935.52527051979993
90-3-13.442928535081910.4429285350819
91-7-13.50414592914756.50414592914746
92-9-11.55483807863292.55483807863287
93-11-18.90585911050767.90585911050758
94-13-15.64903391667092.64903391667094
95-11-12.69674338335081.69674338335084
96-9-7.3094664158361-1.6905335841639
97-17-18.83012039096521.83012039096521
98-22-17.1763315961906-4.82366840380939
99-25-19.1438235166717-5.85617648332825
100-20-10.8649388858397-9.13506111416034
101-24-13.2418823056605-10.7581176943395
102-24-18.10897470382-5.89102529618001
103-22-13.3061988365763-8.6938011634237
104-19-8.63119117869408-10.3688088213059
105-18-6.74578725195445-11.2542127480455
106-17-15.1298394967689-1.87016050323113
107-11-8.51736146866334-2.48263853133666
108-11-9.3767390492461-1.62326095075389
109-12-4.16369192132583-7.83630807867417
110-10-4.40217839279557-5.59782160720443
111-15-7.45149362040717-7.54850637959283
112-15-8.28264805119385-6.71735194880615
113-15-9.89000782651051-5.10999217348949
114-13-5.03111711622757-7.96888288377243
115-8-5.49832928349107-2.50167071650893
116-13-10.3807094168225-2.61929058317754
117-9-5.00553462058375-3.99446537941625
118-7-10.38082103309143.38082103309135
119-4-8.284698990152534.28469899015253
120-4-8.578468157631294.57846815763129
121-2-2.281111684074020.281111684074025
1220-3.239534127986163.23953412798616
123-2-5.985464404343073.98546440434307
124-3-6.968752660151313.96875266015131
12510.0793287124186480.920671287581352
126-2-10.74713067668298.74713067668291
127-1-6.045614186391185.04561418639118
1281-3.222706585481214.22270658548121
129-3-6.557787205920823.55778720592082
130-4-10.83540186256946.83540186256936
131-9-10.16586116193891.16586116193889
132-9-8.7512447373651-0.248755262634896
133-7-3.59901861965436-3.40098138034564
134-14-9.01915398993592-4.98084601006408
135-12-15.47285933287343.47285933287337
136-16-17.43525335817991.4352533581799
137-20-18.1388975921532-1.86110240784684
138-12-14.10162022107342.10162022107341
139-12-11.3554344942304-0.644565505769591
140-10-9.8255952753839-0.174404724616103
141-10-5.87294045294342-4.12705954705658
142-13-10.9698849912127-2.03011500878731
143-16-13.3655420062718-2.63445799372823







Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.3802037180148390.7604074360296780.619796281985161
100.2265508142366030.4531016284732060.773449185763397
110.2253569451913590.4507138903827190.774643054808641
120.1488802810640880.2977605621281770.851119718935912
130.09279930606010990.185598612120220.90720069393989
140.2741804494201430.5483608988402860.725819550579857
150.2298826300524170.4597652601048350.770117369947583
160.1752032957163270.3504065914326540.824796704283673
170.1456538747712410.2913077495424820.854346125228759
180.1021613565602390.2043227131204780.897838643439761
190.07449286069096080.1489857213819220.925507139309039
200.05543676180841560.1108735236168310.944563238191584
210.0401791822765570.0803583645531140.959820817723443
220.03935590999387720.07871181998775430.960644090006123
230.02780578928868270.05561157857736540.972194210711317
240.02619087533785930.05238175067571860.973809124662141
250.01963690445132210.03927380890264420.980363095548678
260.01881993034578940.03763986069157880.981180069654211
270.01329518858341730.02659037716683470.986704811416583
280.009254116482810040.01850823296562010.99074588351719
290.006824292326893690.01364858465378740.993175707673106
300.005242293229439820.01048458645887960.99475770677056
310.003760537082630280.007521074165260560.99623946291737
320.002648844560938670.005297689121877340.997351155439061
330.001584418162490610.003168836324981230.998415581837509
340.0009498121984030930.001899624396806190.999050187801597
350.0009044834032434940.001808966806486990.999095516596757
360.0005543896515121990.00110877930302440.999445610348488
370.0009533024374180910.001906604874836180.999046697562582
380.0006235636273308540.001247127254661710.999376436372669
390.0006795452181937170.001359090436387430.999320454781806
400.0003914689839943010.0007829379679886020.999608531016006
410.000222391100718420.000444782201436840.999777608899282
420.0001252092044637560.0002504184089275130.999874790795536
438.33169694265974e-050.0001666339388531950.999916683030573
444.96246428269877e-059.92492856539754e-050.999950375357173
452.78024802882699e-055.56049605765398e-050.999972197519712
461.55892528133105e-053.1178505626621e-050.999984410747187
478.24671349256182e-061.64934269851236e-050.999991753286507
486.04615357661854e-061.20923071532371e-050.999993953846423
491.53017721988539e-053.06035443977078e-050.999984698227801
508.84288310965543e-061.76857662193109e-050.99999115711689
515.5463109965572e-061.10926219931144e-050.999994453689003
524.73319384298891e-069.46638768597783e-060.999995266806157
532.92119304197508e-065.84238608395016e-060.999997078806958
542.13393822064544e-064.26787644129088e-060.999997866061779
552.17871888513884e-064.35743777027769e-060.999997821281115
561.16689885369866e-062.33379770739733e-060.999998833101146
579.74733630320527e-071.94946726064105e-060.99999902526637
586.32652037017185e-071.26530407403437e-060.999999367347963
593.68444349092926e-077.36888698185853e-070.999999631555651
608.14988804120111e-071.62997760824022e-060.999999185011196
614.370814176251e-078.74162835250201e-070.999999562918582
622.1970638554784e-074.39412771095681e-070.999999780293614
631.45337239123758e-072.90674478247517e-070.999999854662761
647.11390290635137e-081.42278058127027e-070.999999928860971
653.46204011183065e-086.9240802236613e-080.999999965379599
661.74366281871731e-083.48732563743462e-080.999999982563372
678.71125656256738e-091.74225131251348e-080.999999991288743
686.96460508261457e-091.39292101652291e-080.999999993035395
693.5766419933135e-097.153283986627e-090.999999996423358
701.952292162945e-093.90458432589e-090.999999998047708
711.25097442019289e-092.50194884038579e-090.999999998749026
721.66675306909105e-083.3335061381821e-080.999999983332469
732.22501539586714e-084.45003079173428e-080.999999977749846
741.86712522326342e-083.73425044652683e-080.999999981328748
751.88569740495659e-083.77139480991317e-080.999999981143026
769.08828827445203e-091.81765765489041e-080.999999990911712
775.75161544249509e-091.15032308849902e-080.999999994248385
783.55904408793514e-097.11808817587028e-090.999999996440956
793.0185266447348e-096.03705328946961e-090.999999996981473
801.49017575891915e-092.9803515178383e-090.999999998509824
818.40326722840788e-101.68065344568158e-090.999999999159673
825.93164724498254e-101.18632944899651e-090.999999999406835
831.43253430229696e-092.86506860459392e-090.999999998567466
841.68840218600847e-093.37680437201693e-090.999999998311598
854.51836068861085e-099.0367213772217e-090.999999995481639
868.42938420222746e-091.68587684044549e-080.999999991570616
879.0744758766794e-091.81489517533588e-080.999999990925524
881.3483966754649e-072.6967933509298e-070.999999865160332
891.87962172133763e-073.75924344267525e-070.999999812037828
902.890890997546e-065.78178199509201e-060.999997109109002
917.5220338864421e-061.50440677728842e-050.999992477966114
927.36893557152935e-061.47378711430587e-050.999992631064428
932.47121955306865e-054.94243910613729e-050.999975287804469
944.11734770093537e-058.23469540187073e-050.999958826522991
956.21628308656893e-050.0001243256617313790.999937837169134
968.13222777652265e-050.0001626445555304530.999918677722235
970.0001085105118749150.0002170210237498290.999891489488125
980.0003426591042518090.0006853182085036190.999657340895748
990.0007824078477182380.001564815695436480.999217592152282
1000.002770812071978250.005541624143956510.997229187928022
1010.01878460673309480.03756921346618960.981215393266905
1020.02063393411347280.04126786822694570.979366065886527
1030.0450423851664650.09008477033292990.954957614833535
1040.1213339620888230.2426679241776460.878666037911177
1050.3209101375021840.6418202750043690.679089862497816
1060.2735571568229020.5471143136458030.726442843177098
1070.2328964655493580.4657929310987170.767103534450641
1080.198701461069960.397402922139920.80129853893004
1090.2515773376747930.5031546753495870.748422662325207
1100.2661201485628070.5322402971256140.733879851437193
1110.3843985466055980.7687970932111960.615601453394402
1120.4934247867914880.9868495735829770.506575213208512
1130.5543257177374690.8913485645250610.445674282262531
1140.7875602395732790.4248795208534420.212439760426721
1150.8232554906194360.3534890187611280.176744509380564
1160.8780061132346780.2439877735306440.121993886765322
1170.9584895247560210.08302095048795740.0415104752439787
1180.977752769511790.04449446097642050.0222472304882102
1190.9681358835962090.06372823280758280.0318641164037914
1200.9568754613873360.08624907722532740.0431245386126637
1210.9426701901183180.1146596197633640.0573298098816819
1220.9184645925979310.1630708148041390.0815354074020694
1230.8862579987172520.2274840025654950.113742001282748
1240.8774619945269380.2450760109461240.122538005473062
1250.8311264984957590.3377470030084810.168873501504241
1260.8888556408434870.2222887183130250.111144359156513
1270.8828784717799140.2342430564401720.117121528220086
1280.8778486281972740.2443027436054510.122151371802726
1290.8584127741319130.2831744517361740.141587225868087
1300.9416852734387070.1166294531225860.0583147265612932
1310.8911737433234330.2176525133531330.108826256676567
1320.8582942548255020.2834114903489960.141705745174498
1330.9227970422173720.1544059155652550.0772029577826277
1340.8242873196135110.3514253607729780.175712680386489

\begin{tabular}{lllllllll}
\hline
Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
p-values & Alternative Hypothesis \tabularnewline
breakpoint index & greater & 2-sided & less \tabularnewline
9 & 0.380203718014839 & 0.760407436029678 & 0.619796281985161 \tabularnewline
10 & 0.226550814236603 & 0.453101628473206 & 0.773449185763397 \tabularnewline
11 & 0.225356945191359 & 0.450713890382719 & 0.774643054808641 \tabularnewline
12 & 0.148880281064088 & 0.297760562128177 & 0.851119718935912 \tabularnewline
13 & 0.0927993060601099 & 0.18559861212022 & 0.90720069393989 \tabularnewline
14 & 0.274180449420143 & 0.548360898840286 & 0.725819550579857 \tabularnewline
15 & 0.229882630052417 & 0.459765260104835 & 0.770117369947583 \tabularnewline
16 & 0.175203295716327 & 0.350406591432654 & 0.824796704283673 \tabularnewline
17 & 0.145653874771241 & 0.291307749542482 & 0.854346125228759 \tabularnewline
18 & 0.102161356560239 & 0.204322713120478 & 0.897838643439761 \tabularnewline
19 & 0.0744928606909608 & 0.148985721381922 & 0.925507139309039 \tabularnewline
20 & 0.0554367618084156 & 0.110873523616831 & 0.944563238191584 \tabularnewline
21 & 0.040179182276557 & 0.080358364553114 & 0.959820817723443 \tabularnewline
22 & 0.0393559099938772 & 0.0787118199877543 & 0.960644090006123 \tabularnewline
23 & 0.0278057892886827 & 0.0556115785773654 & 0.972194210711317 \tabularnewline
24 & 0.0261908753378593 & 0.0523817506757186 & 0.973809124662141 \tabularnewline
25 & 0.0196369044513221 & 0.0392738089026442 & 0.980363095548678 \tabularnewline
26 & 0.0188199303457894 & 0.0376398606915788 & 0.981180069654211 \tabularnewline
27 & 0.0132951885834173 & 0.0265903771668347 & 0.986704811416583 \tabularnewline
28 & 0.00925411648281004 & 0.0185082329656201 & 0.99074588351719 \tabularnewline
29 & 0.00682429232689369 & 0.0136485846537874 & 0.993175707673106 \tabularnewline
30 & 0.00524229322943982 & 0.0104845864588796 & 0.99475770677056 \tabularnewline
31 & 0.00376053708263028 & 0.00752107416526056 & 0.99623946291737 \tabularnewline
32 & 0.00264884456093867 & 0.00529768912187734 & 0.997351155439061 \tabularnewline
33 & 0.00158441816249061 & 0.00316883632498123 & 0.998415581837509 \tabularnewline
34 & 0.000949812198403093 & 0.00189962439680619 & 0.999050187801597 \tabularnewline
35 & 0.000904483403243494 & 0.00180896680648699 & 0.999095516596757 \tabularnewline
36 & 0.000554389651512199 & 0.0011087793030244 & 0.999445610348488 \tabularnewline
37 & 0.000953302437418091 & 0.00190660487483618 & 0.999046697562582 \tabularnewline
38 & 0.000623563627330854 & 0.00124712725466171 & 0.999376436372669 \tabularnewline
39 & 0.000679545218193717 & 0.00135909043638743 & 0.999320454781806 \tabularnewline
40 & 0.000391468983994301 & 0.000782937967988602 & 0.999608531016006 \tabularnewline
41 & 0.00022239110071842 & 0.00044478220143684 & 0.999777608899282 \tabularnewline
42 & 0.000125209204463756 & 0.000250418408927513 & 0.999874790795536 \tabularnewline
43 & 8.33169694265974e-05 & 0.000166633938853195 & 0.999916683030573 \tabularnewline
44 & 4.96246428269877e-05 & 9.92492856539754e-05 & 0.999950375357173 \tabularnewline
45 & 2.78024802882699e-05 & 5.56049605765398e-05 & 0.999972197519712 \tabularnewline
46 & 1.55892528133105e-05 & 3.1178505626621e-05 & 0.999984410747187 \tabularnewline
47 & 8.24671349256182e-06 & 1.64934269851236e-05 & 0.999991753286507 \tabularnewline
48 & 6.04615357661854e-06 & 1.20923071532371e-05 & 0.999993953846423 \tabularnewline
49 & 1.53017721988539e-05 & 3.06035443977078e-05 & 0.999984698227801 \tabularnewline
50 & 8.84288310965543e-06 & 1.76857662193109e-05 & 0.99999115711689 \tabularnewline
51 & 5.5463109965572e-06 & 1.10926219931144e-05 & 0.999994453689003 \tabularnewline
52 & 4.73319384298891e-06 & 9.46638768597783e-06 & 0.999995266806157 \tabularnewline
53 & 2.92119304197508e-06 & 5.84238608395016e-06 & 0.999997078806958 \tabularnewline
54 & 2.13393822064544e-06 & 4.26787644129088e-06 & 0.999997866061779 \tabularnewline
55 & 2.17871888513884e-06 & 4.35743777027769e-06 & 0.999997821281115 \tabularnewline
56 & 1.16689885369866e-06 & 2.33379770739733e-06 & 0.999998833101146 \tabularnewline
57 & 9.74733630320527e-07 & 1.94946726064105e-06 & 0.99999902526637 \tabularnewline
58 & 6.32652037017185e-07 & 1.26530407403437e-06 & 0.999999367347963 \tabularnewline
59 & 3.68444349092926e-07 & 7.36888698185853e-07 & 0.999999631555651 \tabularnewline
60 & 8.14988804120111e-07 & 1.62997760824022e-06 & 0.999999185011196 \tabularnewline
61 & 4.370814176251e-07 & 8.74162835250201e-07 & 0.999999562918582 \tabularnewline
62 & 2.1970638554784e-07 & 4.39412771095681e-07 & 0.999999780293614 \tabularnewline
63 & 1.45337239123758e-07 & 2.90674478247517e-07 & 0.999999854662761 \tabularnewline
64 & 7.11390290635137e-08 & 1.42278058127027e-07 & 0.999999928860971 \tabularnewline
65 & 3.46204011183065e-08 & 6.9240802236613e-08 & 0.999999965379599 \tabularnewline
66 & 1.74366281871731e-08 & 3.48732563743462e-08 & 0.999999982563372 \tabularnewline
67 & 8.71125656256738e-09 & 1.74225131251348e-08 & 0.999999991288743 \tabularnewline
68 & 6.96460508261457e-09 & 1.39292101652291e-08 & 0.999999993035395 \tabularnewline
69 & 3.5766419933135e-09 & 7.153283986627e-09 & 0.999999996423358 \tabularnewline
70 & 1.952292162945e-09 & 3.90458432589e-09 & 0.999999998047708 \tabularnewline
71 & 1.25097442019289e-09 & 2.50194884038579e-09 & 0.999999998749026 \tabularnewline
72 & 1.66675306909105e-08 & 3.3335061381821e-08 & 0.999999983332469 \tabularnewline
73 & 2.22501539586714e-08 & 4.45003079173428e-08 & 0.999999977749846 \tabularnewline
74 & 1.86712522326342e-08 & 3.73425044652683e-08 & 0.999999981328748 \tabularnewline
75 & 1.88569740495659e-08 & 3.77139480991317e-08 & 0.999999981143026 \tabularnewline
76 & 9.08828827445203e-09 & 1.81765765489041e-08 & 0.999999990911712 \tabularnewline
77 & 5.75161544249509e-09 & 1.15032308849902e-08 & 0.999999994248385 \tabularnewline
78 & 3.55904408793514e-09 & 7.11808817587028e-09 & 0.999999996440956 \tabularnewline
79 & 3.0185266447348e-09 & 6.03705328946961e-09 & 0.999999996981473 \tabularnewline
80 & 1.49017575891915e-09 & 2.9803515178383e-09 & 0.999999998509824 \tabularnewline
81 & 8.40326722840788e-10 & 1.68065344568158e-09 & 0.999999999159673 \tabularnewline
82 & 5.93164724498254e-10 & 1.18632944899651e-09 & 0.999999999406835 \tabularnewline
83 & 1.43253430229696e-09 & 2.86506860459392e-09 & 0.999999998567466 \tabularnewline
84 & 1.68840218600847e-09 & 3.37680437201693e-09 & 0.999999998311598 \tabularnewline
85 & 4.51836068861085e-09 & 9.0367213772217e-09 & 0.999999995481639 \tabularnewline
86 & 8.42938420222746e-09 & 1.68587684044549e-08 & 0.999999991570616 \tabularnewline
87 & 9.0744758766794e-09 & 1.81489517533588e-08 & 0.999999990925524 \tabularnewline
88 & 1.3483966754649e-07 & 2.6967933509298e-07 & 0.999999865160332 \tabularnewline
89 & 1.87962172133763e-07 & 3.75924344267525e-07 & 0.999999812037828 \tabularnewline
90 & 2.890890997546e-06 & 5.78178199509201e-06 & 0.999997109109002 \tabularnewline
91 & 7.5220338864421e-06 & 1.50440677728842e-05 & 0.999992477966114 \tabularnewline
92 & 7.36893557152935e-06 & 1.47378711430587e-05 & 0.999992631064428 \tabularnewline
93 & 2.47121955306865e-05 & 4.94243910613729e-05 & 0.999975287804469 \tabularnewline
94 & 4.11734770093537e-05 & 8.23469540187073e-05 & 0.999958826522991 \tabularnewline
95 & 6.21628308656893e-05 & 0.000124325661731379 & 0.999937837169134 \tabularnewline
96 & 8.13222777652265e-05 & 0.000162644555530453 & 0.999918677722235 \tabularnewline
97 & 0.000108510511874915 & 0.000217021023749829 & 0.999891489488125 \tabularnewline
98 & 0.000342659104251809 & 0.000685318208503619 & 0.999657340895748 \tabularnewline
99 & 0.000782407847718238 & 0.00156481569543648 & 0.999217592152282 \tabularnewline
100 & 0.00277081207197825 & 0.00554162414395651 & 0.997229187928022 \tabularnewline
101 & 0.0187846067330948 & 0.0375692134661896 & 0.981215393266905 \tabularnewline
102 & 0.0206339341134728 & 0.0412678682269457 & 0.979366065886527 \tabularnewline
103 & 0.045042385166465 & 0.0900847703329299 & 0.954957614833535 \tabularnewline
104 & 0.121333962088823 & 0.242667924177646 & 0.878666037911177 \tabularnewline
105 & 0.320910137502184 & 0.641820275004369 & 0.679089862497816 \tabularnewline
106 & 0.273557156822902 & 0.547114313645803 & 0.726442843177098 \tabularnewline
107 & 0.232896465549358 & 0.465792931098717 & 0.767103534450641 \tabularnewline
108 & 0.19870146106996 & 0.39740292213992 & 0.80129853893004 \tabularnewline
109 & 0.251577337674793 & 0.503154675349587 & 0.748422662325207 \tabularnewline
110 & 0.266120148562807 & 0.532240297125614 & 0.733879851437193 \tabularnewline
111 & 0.384398546605598 & 0.768797093211196 & 0.615601453394402 \tabularnewline
112 & 0.493424786791488 & 0.986849573582977 & 0.506575213208512 \tabularnewline
113 & 0.554325717737469 & 0.891348564525061 & 0.445674282262531 \tabularnewline
114 & 0.787560239573279 & 0.424879520853442 & 0.212439760426721 \tabularnewline
115 & 0.823255490619436 & 0.353489018761128 & 0.176744509380564 \tabularnewline
116 & 0.878006113234678 & 0.243987773530644 & 0.121993886765322 \tabularnewline
117 & 0.958489524756021 & 0.0830209504879574 & 0.0415104752439787 \tabularnewline
118 & 0.97775276951179 & 0.0444944609764205 & 0.0222472304882102 \tabularnewline
119 & 0.968135883596209 & 0.0637282328075828 & 0.0318641164037914 \tabularnewline
120 & 0.956875461387336 & 0.0862490772253274 & 0.0431245386126637 \tabularnewline
121 & 0.942670190118318 & 0.114659619763364 & 0.0573298098816819 \tabularnewline
122 & 0.918464592597931 & 0.163070814804139 & 0.0815354074020694 \tabularnewline
123 & 0.886257998717252 & 0.227484002565495 & 0.113742001282748 \tabularnewline
124 & 0.877461994526938 & 0.245076010946124 & 0.122538005473062 \tabularnewline
125 & 0.831126498495759 & 0.337747003008481 & 0.168873501504241 \tabularnewline
126 & 0.888855640843487 & 0.222288718313025 & 0.111144359156513 \tabularnewline
127 & 0.882878471779914 & 0.234243056440172 & 0.117121528220086 \tabularnewline
128 & 0.877848628197274 & 0.244302743605451 & 0.122151371802726 \tabularnewline
129 & 0.858412774131913 & 0.283174451736174 & 0.141587225868087 \tabularnewline
130 & 0.941685273438707 & 0.116629453122586 & 0.0583147265612932 \tabularnewline
131 & 0.891173743323433 & 0.217652513353133 & 0.108826256676567 \tabularnewline
132 & 0.858294254825502 & 0.283411490348996 & 0.141705745174498 \tabularnewline
133 & 0.922797042217372 & 0.154405915565255 & 0.0772029577826277 \tabularnewline
134 & 0.824287319613511 & 0.351425360772978 & 0.175712680386489 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=5

[TABLE]
[ROW][C]Goldfeld-Quandt test for Heteroskedasticity[/C][/ROW]
[ROW][C]p-values[/C][C]Alternative Hypothesis[/C][/ROW]
[ROW][C]breakpoint index[/C][C]greater[/C][C]2-sided[/C][C]less[/C][/ROW]
[ROW][C]9[/C][C]0.380203718014839[/C][C]0.760407436029678[/C][C]0.619796281985161[/C][/ROW]
[ROW][C]10[/C][C]0.226550814236603[/C][C]0.453101628473206[/C][C]0.773449185763397[/C][/ROW]
[ROW][C]11[/C][C]0.225356945191359[/C][C]0.450713890382719[/C][C]0.774643054808641[/C][/ROW]
[ROW][C]12[/C][C]0.148880281064088[/C][C]0.297760562128177[/C][C]0.851119718935912[/C][/ROW]
[ROW][C]13[/C][C]0.0927993060601099[/C][C]0.18559861212022[/C][C]0.90720069393989[/C][/ROW]
[ROW][C]14[/C][C]0.274180449420143[/C][C]0.548360898840286[/C][C]0.725819550579857[/C][/ROW]
[ROW][C]15[/C][C]0.229882630052417[/C][C]0.459765260104835[/C][C]0.770117369947583[/C][/ROW]
[ROW][C]16[/C][C]0.175203295716327[/C][C]0.350406591432654[/C][C]0.824796704283673[/C][/ROW]
[ROW][C]17[/C][C]0.145653874771241[/C][C]0.291307749542482[/C][C]0.854346125228759[/C][/ROW]
[ROW][C]18[/C][C]0.102161356560239[/C][C]0.204322713120478[/C][C]0.897838643439761[/C][/ROW]
[ROW][C]19[/C][C]0.0744928606909608[/C][C]0.148985721381922[/C][C]0.925507139309039[/C][/ROW]
[ROW][C]20[/C][C]0.0554367618084156[/C][C]0.110873523616831[/C][C]0.944563238191584[/C][/ROW]
[ROW][C]21[/C][C]0.040179182276557[/C][C]0.080358364553114[/C][C]0.959820817723443[/C][/ROW]
[ROW][C]22[/C][C]0.0393559099938772[/C][C]0.0787118199877543[/C][C]0.960644090006123[/C][/ROW]
[ROW][C]23[/C][C]0.0278057892886827[/C][C]0.0556115785773654[/C][C]0.972194210711317[/C][/ROW]
[ROW][C]24[/C][C]0.0261908753378593[/C][C]0.0523817506757186[/C][C]0.973809124662141[/C][/ROW]
[ROW][C]25[/C][C]0.0196369044513221[/C][C]0.0392738089026442[/C][C]0.980363095548678[/C][/ROW]
[ROW][C]26[/C][C]0.0188199303457894[/C][C]0.0376398606915788[/C][C]0.981180069654211[/C][/ROW]
[ROW][C]27[/C][C]0.0132951885834173[/C][C]0.0265903771668347[/C][C]0.986704811416583[/C][/ROW]
[ROW][C]28[/C][C]0.00925411648281004[/C][C]0.0185082329656201[/C][C]0.99074588351719[/C][/ROW]
[ROW][C]29[/C][C]0.00682429232689369[/C][C]0.0136485846537874[/C][C]0.993175707673106[/C][/ROW]
[ROW][C]30[/C][C]0.00524229322943982[/C][C]0.0104845864588796[/C][C]0.99475770677056[/C][/ROW]
[ROW][C]31[/C][C]0.00376053708263028[/C][C]0.00752107416526056[/C][C]0.99623946291737[/C][/ROW]
[ROW][C]32[/C][C]0.00264884456093867[/C][C]0.00529768912187734[/C][C]0.997351155439061[/C][/ROW]
[ROW][C]33[/C][C]0.00158441816249061[/C][C]0.00316883632498123[/C][C]0.998415581837509[/C][/ROW]
[ROW][C]34[/C][C]0.000949812198403093[/C][C]0.00189962439680619[/C][C]0.999050187801597[/C][/ROW]
[ROW][C]35[/C][C]0.000904483403243494[/C][C]0.00180896680648699[/C][C]0.999095516596757[/C][/ROW]
[ROW][C]36[/C][C]0.000554389651512199[/C][C]0.0011087793030244[/C][C]0.999445610348488[/C][/ROW]
[ROW][C]37[/C][C]0.000953302437418091[/C][C]0.00190660487483618[/C][C]0.999046697562582[/C][/ROW]
[ROW][C]38[/C][C]0.000623563627330854[/C][C]0.00124712725466171[/C][C]0.999376436372669[/C][/ROW]
[ROW][C]39[/C][C]0.000679545218193717[/C][C]0.00135909043638743[/C][C]0.999320454781806[/C][/ROW]
[ROW][C]40[/C][C]0.000391468983994301[/C][C]0.000782937967988602[/C][C]0.999608531016006[/C][/ROW]
[ROW][C]41[/C][C]0.00022239110071842[/C][C]0.00044478220143684[/C][C]0.999777608899282[/C][/ROW]
[ROW][C]42[/C][C]0.000125209204463756[/C][C]0.000250418408927513[/C][C]0.999874790795536[/C][/ROW]
[ROW][C]43[/C][C]8.33169694265974e-05[/C][C]0.000166633938853195[/C][C]0.999916683030573[/C][/ROW]
[ROW][C]44[/C][C]4.96246428269877e-05[/C][C]9.92492856539754e-05[/C][C]0.999950375357173[/C][/ROW]
[ROW][C]45[/C][C]2.78024802882699e-05[/C][C]5.56049605765398e-05[/C][C]0.999972197519712[/C][/ROW]
[ROW][C]46[/C][C]1.55892528133105e-05[/C][C]3.1178505626621e-05[/C][C]0.999984410747187[/C][/ROW]
[ROW][C]47[/C][C]8.24671349256182e-06[/C][C]1.64934269851236e-05[/C][C]0.999991753286507[/C][/ROW]
[ROW][C]48[/C][C]6.04615357661854e-06[/C][C]1.20923071532371e-05[/C][C]0.999993953846423[/C][/ROW]
[ROW][C]49[/C][C]1.53017721988539e-05[/C][C]3.06035443977078e-05[/C][C]0.999984698227801[/C][/ROW]
[ROW][C]50[/C][C]8.84288310965543e-06[/C][C]1.76857662193109e-05[/C][C]0.99999115711689[/C][/ROW]
[ROW][C]51[/C][C]5.5463109965572e-06[/C][C]1.10926219931144e-05[/C][C]0.999994453689003[/C][/ROW]
[ROW][C]52[/C][C]4.73319384298891e-06[/C][C]9.46638768597783e-06[/C][C]0.999995266806157[/C][/ROW]
[ROW][C]53[/C][C]2.92119304197508e-06[/C][C]5.84238608395016e-06[/C][C]0.999997078806958[/C][/ROW]
[ROW][C]54[/C][C]2.13393822064544e-06[/C][C]4.26787644129088e-06[/C][C]0.999997866061779[/C][/ROW]
[ROW][C]55[/C][C]2.17871888513884e-06[/C][C]4.35743777027769e-06[/C][C]0.999997821281115[/C][/ROW]
[ROW][C]56[/C][C]1.16689885369866e-06[/C][C]2.33379770739733e-06[/C][C]0.999998833101146[/C][/ROW]
[ROW][C]57[/C][C]9.74733630320527e-07[/C][C]1.94946726064105e-06[/C][C]0.99999902526637[/C][/ROW]
[ROW][C]58[/C][C]6.32652037017185e-07[/C][C]1.26530407403437e-06[/C][C]0.999999367347963[/C][/ROW]
[ROW][C]59[/C][C]3.68444349092926e-07[/C][C]7.36888698185853e-07[/C][C]0.999999631555651[/C][/ROW]
[ROW][C]60[/C][C]8.14988804120111e-07[/C][C]1.62997760824022e-06[/C][C]0.999999185011196[/C][/ROW]
[ROW][C]61[/C][C]4.370814176251e-07[/C][C]8.74162835250201e-07[/C][C]0.999999562918582[/C][/ROW]
[ROW][C]62[/C][C]2.1970638554784e-07[/C][C]4.39412771095681e-07[/C][C]0.999999780293614[/C][/ROW]
[ROW][C]63[/C][C]1.45337239123758e-07[/C][C]2.90674478247517e-07[/C][C]0.999999854662761[/C][/ROW]
[ROW][C]64[/C][C]7.11390290635137e-08[/C][C]1.42278058127027e-07[/C][C]0.999999928860971[/C][/ROW]
[ROW][C]65[/C][C]3.46204011183065e-08[/C][C]6.9240802236613e-08[/C][C]0.999999965379599[/C][/ROW]
[ROW][C]66[/C][C]1.74366281871731e-08[/C][C]3.48732563743462e-08[/C][C]0.999999982563372[/C][/ROW]
[ROW][C]67[/C][C]8.71125656256738e-09[/C][C]1.74225131251348e-08[/C][C]0.999999991288743[/C][/ROW]
[ROW][C]68[/C][C]6.96460508261457e-09[/C][C]1.39292101652291e-08[/C][C]0.999999993035395[/C][/ROW]
[ROW][C]69[/C][C]3.5766419933135e-09[/C][C]7.153283986627e-09[/C][C]0.999999996423358[/C][/ROW]
[ROW][C]70[/C][C]1.952292162945e-09[/C][C]3.90458432589e-09[/C][C]0.999999998047708[/C][/ROW]
[ROW][C]71[/C][C]1.25097442019289e-09[/C][C]2.50194884038579e-09[/C][C]0.999999998749026[/C][/ROW]
[ROW][C]72[/C][C]1.66675306909105e-08[/C][C]3.3335061381821e-08[/C][C]0.999999983332469[/C][/ROW]
[ROW][C]73[/C][C]2.22501539586714e-08[/C][C]4.45003079173428e-08[/C][C]0.999999977749846[/C][/ROW]
[ROW][C]74[/C][C]1.86712522326342e-08[/C][C]3.73425044652683e-08[/C][C]0.999999981328748[/C][/ROW]
[ROW][C]75[/C][C]1.88569740495659e-08[/C][C]3.77139480991317e-08[/C][C]0.999999981143026[/C][/ROW]
[ROW][C]76[/C][C]9.08828827445203e-09[/C][C]1.81765765489041e-08[/C][C]0.999999990911712[/C][/ROW]
[ROW][C]77[/C][C]5.75161544249509e-09[/C][C]1.15032308849902e-08[/C][C]0.999999994248385[/C][/ROW]
[ROW][C]78[/C][C]3.55904408793514e-09[/C][C]7.11808817587028e-09[/C][C]0.999999996440956[/C][/ROW]
[ROW][C]79[/C][C]3.0185266447348e-09[/C][C]6.03705328946961e-09[/C][C]0.999999996981473[/C][/ROW]
[ROW][C]80[/C][C]1.49017575891915e-09[/C][C]2.9803515178383e-09[/C][C]0.999999998509824[/C][/ROW]
[ROW][C]81[/C][C]8.40326722840788e-10[/C][C]1.68065344568158e-09[/C][C]0.999999999159673[/C][/ROW]
[ROW][C]82[/C][C]5.93164724498254e-10[/C][C]1.18632944899651e-09[/C][C]0.999999999406835[/C][/ROW]
[ROW][C]83[/C][C]1.43253430229696e-09[/C][C]2.86506860459392e-09[/C][C]0.999999998567466[/C][/ROW]
[ROW][C]84[/C][C]1.68840218600847e-09[/C][C]3.37680437201693e-09[/C][C]0.999999998311598[/C][/ROW]
[ROW][C]85[/C][C]4.51836068861085e-09[/C][C]9.0367213772217e-09[/C][C]0.999999995481639[/C][/ROW]
[ROW][C]86[/C][C]8.42938420222746e-09[/C][C]1.68587684044549e-08[/C][C]0.999999991570616[/C][/ROW]
[ROW][C]87[/C][C]9.0744758766794e-09[/C][C]1.81489517533588e-08[/C][C]0.999999990925524[/C][/ROW]
[ROW][C]88[/C][C]1.3483966754649e-07[/C][C]2.6967933509298e-07[/C][C]0.999999865160332[/C][/ROW]
[ROW][C]89[/C][C]1.87962172133763e-07[/C][C]3.75924344267525e-07[/C][C]0.999999812037828[/C][/ROW]
[ROW][C]90[/C][C]2.890890997546e-06[/C][C]5.78178199509201e-06[/C][C]0.999997109109002[/C][/ROW]
[ROW][C]91[/C][C]7.5220338864421e-06[/C][C]1.50440677728842e-05[/C][C]0.999992477966114[/C][/ROW]
[ROW][C]92[/C][C]7.36893557152935e-06[/C][C]1.47378711430587e-05[/C][C]0.999992631064428[/C][/ROW]
[ROW][C]93[/C][C]2.47121955306865e-05[/C][C]4.94243910613729e-05[/C][C]0.999975287804469[/C][/ROW]
[ROW][C]94[/C][C]4.11734770093537e-05[/C][C]8.23469540187073e-05[/C][C]0.999958826522991[/C][/ROW]
[ROW][C]95[/C][C]6.21628308656893e-05[/C][C]0.000124325661731379[/C][C]0.999937837169134[/C][/ROW]
[ROW][C]96[/C][C]8.13222777652265e-05[/C][C]0.000162644555530453[/C][C]0.999918677722235[/C][/ROW]
[ROW][C]97[/C][C]0.000108510511874915[/C][C]0.000217021023749829[/C][C]0.999891489488125[/C][/ROW]
[ROW][C]98[/C][C]0.000342659104251809[/C][C]0.000685318208503619[/C][C]0.999657340895748[/C][/ROW]
[ROW][C]99[/C][C]0.000782407847718238[/C][C]0.00156481569543648[/C][C]0.999217592152282[/C][/ROW]
[ROW][C]100[/C][C]0.00277081207197825[/C][C]0.00554162414395651[/C][C]0.997229187928022[/C][/ROW]
[ROW][C]101[/C][C]0.0187846067330948[/C][C]0.0375692134661896[/C][C]0.981215393266905[/C][/ROW]
[ROW][C]102[/C][C]0.0206339341134728[/C][C]0.0412678682269457[/C][C]0.979366065886527[/C][/ROW]
[ROW][C]103[/C][C]0.045042385166465[/C][C]0.0900847703329299[/C][C]0.954957614833535[/C][/ROW]
[ROW][C]104[/C][C]0.121333962088823[/C][C]0.242667924177646[/C][C]0.878666037911177[/C][/ROW]
[ROW][C]105[/C][C]0.320910137502184[/C][C]0.641820275004369[/C][C]0.679089862497816[/C][/ROW]
[ROW][C]106[/C][C]0.273557156822902[/C][C]0.547114313645803[/C][C]0.726442843177098[/C][/ROW]
[ROW][C]107[/C][C]0.232896465549358[/C][C]0.465792931098717[/C][C]0.767103534450641[/C][/ROW]
[ROW][C]108[/C][C]0.19870146106996[/C][C]0.39740292213992[/C][C]0.80129853893004[/C][/ROW]
[ROW][C]109[/C][C]0.251577337674793[/C][C]0.503154675349587[/C][C]0.748422662325207[/C][/ROW]
[ROW][C]110[/C][C]0.266120148562807[/C][C]0.532240297125614[/C][C]0.733879851437193[/C][/ROW]
[ROW][C]111[/C][C]0.384398546605598[/C][C]0.768797093211196[/C][C]0.615601453394402[/C][/ROW]
[ROW][C]112[/C][C]0.493424786791488[/C][C]0.986849573582977[/C][C]0.506575213208512[/C][/ROW]
[ROW][C]113[/C][C]0.554325717737469[/C][C]0.891348564525061[/C][C]0.445674282262531[/C][/ROW]
[ROW][C]114[/C][C]0.787560239573279[/C][C]0.424879520853442[/C][C]0.212439760426721[/C][/ROW]
[ROW][C]115[/C][C]0.823255490619436[/C][C]0.353489018761128[/C][C]0.176744509380564[/C][/ROW]
[ROW][C]116[/C][C]0.878006113234678[/C][C]0.243987773530644[/C][C]0.121993886765322[/C][/ROW]
[ROW][C]117[/C][C]0.958489524756021[/C][C]0.0830209504879574[/C][C]0.0415104752439787[/C][/ROW]
[ROW][C]118[/C][C]0.97775276951179[/C][C]0.0444944609764205[/C][C]0.0222472304882102[/C][/ROW]
[ROW][C]119[/C][C]0.968135883596209[/C][C]0.0637282328075828[/C][C]0.0318641164037914[/C][/ROW]
[ROW][C]120[/C][C]0.956875461387336[/C][C]0.0862490772253274[/C][C]0.0431245386126637[/C][/ROW]
[ROW][C]121[/C][C]0.942670190118318[/C][C]0.114659619763364[/C][C]0.0573298098816819[/C][/ROW]
[ROW][C]122[/C][C]0.918464592597931[/C][C]0.163070814804139[/C][C]0.0815354074020694[/C][/ROW]
[ROW][C]123[/C][C]0.886257998717252[/C][C]0.227484002565495[/C][C]0.113742001282748[/C][/ROW]
[ROW][C]124[/C][C]0.877461994526938[/C][C]0.245076010946124[/C][C]0.122538005473062[/C][/ROW]
[ROW][C]125[/C][C]0.831126498495759[/C][C]0.337747003008481[/C][C]0.168873501504241[/C][/ROW]
[ROW][C]126[/C][C]0.888855640843487[/C][C]0.222288718313025[/C][C]0.111144359156513[/C][/ROW]
[ROW][C]127[/C][C]0.882878471779914[/C][C]0.234243056440172[/C][C]0.117121528220086[/C][/ROW]
[ROW][C]128[/C][C]0.877848628197274[/C][C]0.244302743605451[/C][C]0.122151371802726[/C][/ROW]
[ROW][C]129[/C][C]0.858412774131913[/C][C]0.283174451736174[/C][C]0.141587225868087[/C][/ROW]
[ROW][C]130[/C][C]0.941685273438707[/C][C]0.116629453122586[/C][C]0.0583147265612932[/C][/ROW]
[ROW][C]131[/C][C]0.891173743323433[/C][C]0.217652513353133[/C][C]0.108826256676567[/C][/ROW]
[ROW][C]132[/C][C]0.858294254825502[/C][C]0.283411490348996[/C][C]0.141705745174498[/C][/ROW]
[ROW][C]133[/C][C]0.922797042217372[/C][C]0.154405915565255[/C][C]0.0772029577826277[/C][/ROW]
[ROW][C]134[/C][C]0.824287319613511[/C][C]0.351425360772978[/C][C]0.175712680386489[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=5

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.3802037180148390.7604074360296780.619796281985161
100.2265508142366030.4531016284732060.773449185763397
110.2253569451913590.4507138903827190.774643054808641
120.1488802810640880.2977605621281770.851119718935912
130.09279930606010990.185598612120220.90720069393989
140.2741804494201430.5483608988402860.725819550579857
150.2298826300524170.4597652601048350.770117369947583
160.1752032957163270.3504065914326540.824796704283673
170.1456538747712410.2913077495424820.854346125228759
180.1021613565602390.2043227131204780.897838643439761
190.07449286069096080.1489857213819220.925507139309039
200.05543676180841560.1108735236168310.944563238191584
210.0401791822765570.0803583645531140.959820817723443
220.03935590999387720.07871181998775430.960644090006123
230.02780578928868270.05561157857736540.972194210711317
240.02619087533785930.05238175067571860.973809124662141
250.01963690445132210.03927380890264420.980363095548678
260.01881993034578940.03763986069157880.981180069654211
270.01329518858341730.02659037716683470.986704811416583
280.009254116482810040.01850823296562010.99074588351719
290.006824292326893690.01364858465378740.993175707673106
300.005242293229439820.01048458645887960.99475770677056
310.003760537082630280.007521074165260560.99623946291737
320.002648844560938670.005297689121877340.997351155439061
330.001584418162490610.003168836324981230.998415581837509
340.0009498121984030930.001899624396806190.999050187801597
350.0009044834032434940.001808966806486990.999095516596757
360.0005543896515121990.00110877930302440.999445610348488
370.0009533024374180910.001906604874836180.999046697562582
380.0006235636273308540.001247127254661710.999376436372669
390.0006795452181937170.001359090436387430.999320454781806
400.0003914689839943010.0007829379679886020.999608531016006
410.000222391100718420.000444782201436840.999777608899282
420.0001252092044637560.0002504184089275130.999874790795536
438.33169694265974e-050.0001666339388531950.999916683030573
444.96246428269877e-059.92492856539754e-050.999950375357173
452.78024802882699e-055.56049605765398e-050.999972197519712
461.55892528133105e-053.1178505626621e-050.999984410747187
478.24671349256182e-061.64934269851236e-050.999991753286507
486.04615357661854e-061.20923071532371e-050.999993953846423
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552.17871888513884e-064.35743777027769e-060.999997821281115
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614.370814176251e-078.74162835250201e-070.999999562918582
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711.25097442019289e-092.50194884038579e-090.999999998749026
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732.22501539586714e-084.45003079173428e-080.999999977749846
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751.88569740495659e-083.77139480991317e-080.999999981143026
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831.43253430229696e-092.86506860459392e-090.999999998567466
841.68840218600847e-093.37680437201693e-090.999999998311598
854.51836068861085e-099.0367213772217e-090.999999995481639
868.42938420222746e-091.68587684044549e-080.999999991570616
879.0744758766794e-091.81489517533588e-080.999999990925524
881.3483966754649e-072.6967933509298e-070.999999865160332
891.87962172133763e-073.75924344267525e-070.999999812037828
902.890890997546e-065.78178199509201e-060.999997109109002
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956.21628308656893e-050.0001243256617313790.999937837169134
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980.0003426591042518090.0006853182085036190.999657340895748
990.0007824078477182380.001564815695436480.999217592152282
1000.002770812071978250.005541624143956510.997229187928022
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1200.9568754613873360.08624907722532740.0431245386126637
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1330.9227970422173720.1544059155652550.0772029577826277
1340.8242873196135110.3514253607729780.175712680386489







Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level700.555555555555556NOK
5% type I error level790.626984126984127NOK
10% type I error level870.69047619047619NOK

\begin{tabular}{lllllllll}
\hline
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
Description & # significant tests & % significant tests & OK/NOK \tabularnewline
1% type I error level & 70 & 0.555555555555556 & NOK \tabularnewline
5% type I error level & 79 & 0.626984126984127 & NOK \tabularnewline
10% type I error level & 87 & 0.69047619047619 & NOK \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=185430&T=6

[TABLE]
[ROW][C]Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity[/C][/ROW]
[ROW][C]Description[/C][C]# significant tests[/C][C]% significant tests[/C][C]OK/NOK[/C][/ROW]
[ROW][C]1% type I error level[/C][C]70[/C][C]0.555555555555556[/C][C]NOK[/C][/ROW]
[ROW][C]5% type I error level[/C][C]79[/C][C]0.626984126984127[/C][C]NOK[/C][/ROW]
[ROW][C]10% type I error level[/C][C]87[/C][C]0.69047619047619[/C][C]NOK[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=185430&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=185430&T=6

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level700.555555555555556NOK
5% type I error level790.626984126984127NOK
10% type I error level870.69047619047619NOK



Parameters (Session):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
Parameters (R input):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
R code (references can be found in the software module):
library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}