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Author*The author of this computation has been verified*
R Software Modulerwasp_multipleregression.wasp
Title produced by softwareMultiple Regression
Date of computationWed, 25 Jan 2017 10:58:35 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Jan/25/t1485338331nwzrbbrex5g37vy.htm/, Retrieved Mon, 13 May 2024 21:57:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=306484, Retrieved Mon, 13 May 2024 21:57:44 +0000
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Estimated Impact40
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Multiple Regression] [Multiple Regression] [2017-01-25 09:58:35] [e0044ff8caf2d68149dcdb0ba8e86f31] [Current]
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Dataseries X:
13 14 22 4 2 4 3 5 4
16 19 24 5 3 3 4 5 4
17 17 26 4 4 5 4 5 4
NA 17 21 3 4 3 3 4 4
NA 15 26 4 4 5 4 5 4
16 20 25 3 4 4 4 5 5
NA 15 21 3 4 4 3 3 4
NA 19 24 3 4 5 4 4 4
NA 15 27 4 5 4 4 5 5
17 15 28 4 5 5 4 5 5
17 19 23 4 4 2 4 5 4
15 NA 25 4 4 5 3 5 4
16 20 24 4 4 4 3 4 5
14 18 24 3 3 5 4 4 5
16 15 24 4 4 5 4 2 5
17 14 25 3 4 5 4 4 5
NA 20 25 3 4 5 4 4 5
NA NA NA NA NA 5 NA 5 5
NA 16 25 5 5 4 3 4 4
NA 16 25 4 4 4 4 5 4
16 16 24 3 4 5 3 4 5
NA 10 26 4 4 4 4 5 5
16 19 26 4 4 5 4 4 5
NA 19 25 4 4 5 4 4 4
NA 16 26 4 4 5 4 4 5
NA 15 23 3 4 4 4 4 4
16 18 24 3 4 4 3 5 5
15 17 24 4 4 4 4 4 4
16 19 25 2 4 5 4 5 5
16 17 25 5 4 4 4 4 4
13 NA 24 4 3 5 4 4 4
15 19 28 4 5 5 4 5 5
17 20 27 5 4 5 4 4 5
NA 5 NA 4 3 5 4 NA 5
13 19 23 2 3 5 4 5 4
17 16 23 4 5 2 4 4 4
NA 15 24 3 4 5 4 4 4
14 16 24 4 3 5 3 4 5
14 18 22 4 3 3 4 4 4
18 16 25 4 4 5 4 4 4
NA 15 25 5 4 4 4 4 4
17 17 28 4 5 5 4 5 5
13 NA 22 3 3 4 4 4 4
16 20 28 5 5 5 3 5 5
15 19 25 5 4 5 3 4 4
15 7 24 4 4 4 3 4 5
NA 13 24 4 4 4 4 4 4
15 16 23 3 5 5 3 3 4
13 16 25 4 4 4 4 5 4
NA NA NA 2 3 4 2 NA 4
17 18 26 4 5 5 4 4 4
NA 18 25 5 5 2 4 5 4
NA 16 27 5 5 5 4 4 4
11 17 26 4 3 5 4 5 5
14 19 23 4 3 4 3 4 5
13 16 25 4 4 5 4 4 4
NA 19 21 3 4 4 3 3 4
17 13 22 3 4 4 4 4 3
16 16 24 4 4 4 3 5 4
NA 13 25 4 4 4 4 5 4
17 12 27 5 5 3 4 5 5
16 17 24 2 4 4 4 5 5
16 17 26 4 4 4 4 5 5
16 17 21 3 4 4 4 2 4
15 16 27 4 4 5 4 5 5
12 16 22 4 2 4 4 4 4
17 14 23 4 4 4 3 5 3
14 16 24 4 4 4 3 5 4
14 13 25 5 4 5 3 3 5
16 16 24 3 4 4 3 5 5
NA 14 23 3 4 4 3 4 5
NA 20 28 4 5 5 5 5 4
NA 12 NA 4 4 3 4 NA 4
NA 13 24 4 4 4 4 4 4
NA 18 26 4 4 4 5 5 4
15 14 22 3 4 3 4 4 4
16 19 25 4 4 4 4 5 4
14 18 25 3 4 5 3 5 5
15 14 24 3 3 5 4 4 5
17 18 24 4 3 5 4 4 4
NA 19 26 4 4 5 4 4 5
10 15 21 3 3 3 4 4 4
NA 14 25 4 4 4 4 5 4
17 17 25 4 4 3 4 5 5
NA 19 26 4 4 4 4 5 5
20 13 25 5 4 4 4 4 4
17 19 26 5 4 3 5 4 5
18 18 27 4 4 5 4 5 5
NA 20 25 3 4 5 4 4 5
17 15 NA 3 NA 4 4 4 4
14 15 20 4 2 3 3 4 4
NA 15 24 4 4 5 4 4 3
17 20 26 4 4 5 4 4 5
NA 15 25 4 4 4 4 5 4
17 19 25 4 5 4 4 5 3
NA 18 24 3 4 4 3 5 5
16 18 26 4 4 5 4 4 5
18 15 25 5 4 3 4 4 5
18 20 28 5 4 5 5 4 5
16 17 27 4 5 4 4 5 5
NA 12 25 3 4 5 4 4 5
NA 18 26 5 3 4 4 5 5
15 19 26 4 4 5 4 4 5
13 20 26 5 4 4 4 4 5
NA NA NA 3 4 4 3 NA 4
NA 17 28 5 4 4 5 5 5
NA 15 NA 4 4 5 3 NA 5
NA 16 21 4 4 3 3 4 3
NA 18 25 4 4 5 4 4 4
16 18 25 4 4 5 4 4 4
NA 14 24 3 4 5 4 5 3
NA 15 24 4 4 4 4 4 4
NA 12 24 4 4 4 3 4 5
12 17 23 3 3 4 3 5 5
NA 14 23 4 4 4 3 4 4
16 18 24 3 4 5 4 4 4
16 17 24 4 4 5 4 3 4
NA 17 25 5 4 5 1 5 5
16 20 28 5 4 5 4 5 5
14 16 23 4 4 4 4 4 3
15 14 24 4 4 5 3 4 4
14 15 23 3 4 4 3 4 5
NA 18 24 4 4 4 4 4 4
15 20 25 4 4 4 4 5 4
NA 17 24 4 5 3 4 4 4
15 17 23 3 4 4 4 4 4
16 17 23 4 4 4 3 4 4
NA 17 25 4 4 4 4 4 5
NA 15 21 3 4 3 3 4 4
NA 17 22 4 4 4 3 4 3
11 18 19 3 2 4 2 4 4
NA 17 24 4 4 4 3 5 4
18 20 25 5 4 4 3 5 4
NA 15 21 2 4 4 3 3 5
11 16 22 3 3 4 4 4 4
NA 15 23 4 4 4 3 4 4
18 18 27 5 5 4 4 5 4
NA 11 NA NA NA 2 0 0
15 15 26 4 5 5 4 4 4
19 18 29 5 5 5 5 5 4
17 20 28 4 5 5 4 5 5
NA 19 24 4 4 4 3 4 5
14 14 25 3 4 5 4 5 4
NA 16 25 4 4 5 4 4 4
13 15 22 4 4 2 4 4 4
17 17 25 4 4 3 4 5 5
14 18 26 4 4 4 4 5 5
19 20 26 5 4 5 3 5 4
14 17 24 4 3 5 4 4 4
NA 18 25 4 4 5 4 4 4
NA 15 19 3 3 2 3 4 4
16 16 25 4 5 5 4 4 3
16 11 23 4 4 4 3 4 4
15 15 25 4 4 4 4 4 5
12 18 25 3 4 5 3 5 5
NA 17 26 4 4 5 4 4 5
17 16 27 5 4 5 4 5 4
NA 12 24 4 4 5 4 3 4
NA 19 22 2 3 5 4 4 4
18 18 25 4 4 4 4 4 5
15 15 24 4 3 4 3 5 5
18 17 23 4 4 4 4 4 3
15 19 27 4 5 5 5 4 4
NA 18 24 5 4 3 4 4 4
NA 19 24 5 4 4 3 4 4
NA 16 21 3 3 1 4 5 5
16 16 25 4 4 4 4 4 5
NA 16 25 4 4 4 4 5 4
16 14 23 2 3 4 5 5 4




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time8 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]8 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=306484&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R ServerBig Analytics Cloud Computing Center







Multiple Linear Regression - Estimated Regression Equation
TVDC[t] = + 6.17227 -0.0483258ITHSUM[t] + 0.00895799SKEOUSUM[t] + 0.448601SKEOU1[t] + 0.993215SKEOU2[t] -0.00739145SKEOU3[t] + 0.770855SKEOU4[t] + 0.257587SKEOU5[t] + 0.0731786SKEOU6[t] + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
TVDC[t] =  +  6.17227 -0.0483258ITHSUM[t] +  0.00895799SKEOUSUM[t] +  0.448601SKEOU1[t] +  0.993215SKEOU2[t] -0.00739145SKEOU3[t] +  0.770855SKEOU4[t] +  0.257587SKEOU5[t] +  0.0731786SKEOU6[t]  + e[t] \tabularnewline
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&T=1

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW][C]TVDC[t] =  +  6.17227 -0.0483258ITHSUM[t] +  0.00895799SKEOUSUM[t] +  0.448601SKEOU1[t] +  0.993215SKEOU2[t] -0.00739145SKEOU3[t] +  0.770855SKEOU4[t] +  0.257587SKEOU5[t] +  0.0731786SKEOU6[t]  + e[t][/C][/ROW]
[ROW][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306484&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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
TVDC[t] = + 6.17227 -0.0483258ITHSUM[t] + 0.00895799SKEOUSUM[t] + 0.448601SKEOU1[t] + 0.993215SKEOU2[t] -0.00739145SKEOU3[t] + 0.770855SKEOU4[t] + 0.257587SKEOU5[t] + 0.0731786SKEOU6[t] + e[t]







Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)+6.172 2.353+2.6230e+00 0.01023 0.005117
ITHSUM-0.04833 0.08114-5.9560e-01 0.5529 0.2765
SKEOUSUM+0.008958 0.07809+1.1470e-01 0.9089 0.4545
SKEOU1+0.4486 0.2587+1.7340e+00 0.08629 0.04314
SKEOU2+0.9932 0.2291+4.3360e+00 3.779e-05 1.889e-05
SKEOU3-0.007391 0.2631-2.8090e-02 0.9777 0.4888
SKEOU4+0.7709 0.3321+2.3210e+00 0.02253 0.01126
SKEOU5+0.2576 0.2781+9.2640e-01 0.3567 0.1784
SKEOU6+0.07318 0.1355+5.4020e-01 0.5904 0.2952

\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) & +6.172 &  2.353 & +2.6230e+00 &  0.01023 &  0.005117 \tabularnewline
ITHSUM & -0.04833 &  0.08114 & -5.9560e-01 &  0.5529 &  0.2765 \tabularnewline
SKEOUSUM & +0.008958 &  0.07809 & +1.1470e-01 &  0.9089 &  0.4545 \tabularnewline
SKEOU1 & +0.4486 &  0.2587 & +1.7340e+00 &  0.08629 &  0.04314 \tabularnewline
SKEOU2 & +0.9932 &  0.2291 & +4.3360e+00 &  3.779e-05 &  1.889e-05 \tabularnewline
SKEOU3 & -0.007391 &  0.2631 & -2.8090e-02 &  0.9777 &  0.4888 \tabularnewline
SKEOU4 & +0.7709 &  0.3321 & +2.3210e+00 &  0.02253 &  0.01126 \tabularnewline
SKEOU5 & +0.2576 &  0.2781 & +9.2640e-01 &  0.3567 &  0.1784 \tabularnewline
SKEOU6 & +0.07318 &  0.1355 & +5.4020e-01 &  0.5904 &  0.2952 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&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]+6.172[/C][C] 2.353[/C][C]+2.6230e+00[/C][C] 0.01023[/C][C] 0.005117[/C][/ROW]
[ROW][C]ITHSUM[/C][C]-0.04833[/C][C] 0.08114[/C][C]-5.9560e-01[/C][C] 0.5529[/C][C] 0.2765[/C][/ROW]
[ROW][C]SKEOUSUM[/C][C]+0.008958[/C][C] 0.07809[/C][C]+1.1470e-01[/C][C] 0.9089[/C][C] 0.4545[/C][/ROW]
[ROW][C]SKEOU1[/C][C]+0.4486[/C][C] 0.2587[/C][C]+1.7340e+00[/C][C] 0.08629[/C][C] 0.04314[/C][/ROW]
[ROW][C]SKEOU2[/C][C]+0.9932[/C][C] 0.2291[/C][C]+4.3360e+00[/C][C] 3.779e-05[/C][C] 1.889e-05[/C][/ROW]
[ROW][C]SKEOU3[/C][C]-0.007391[/C][C] 0.2631[/C][C]-2.8090e-02[/C][C] 0.9777[/C][C] 0.4888[/C][/ROW]
[ROW][C]SKEOU4[/C][C]+0.7709[/C][C] 0.3321[/C][C]+2.3210e+00[/C][C] 0.02253[/C][C] 0.01126[/C][/ROW]
[ROW][C]SKEOU5[/C][C]+0.2576[/C][C] 0.2781[/C][C]+9.2640e-01[/C][C] 0.3567[/C][C] 0.1784[/C][/ROW]
[ROW][C]SKEOU6[/C][C]+0.07318[/C][C] 0.1355[/C][C]+5.4020e-01[/C][C] 0.5904[/C][C] 0.2952[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306484&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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)+6.172 2.353+2.6230e+00 0.01023 0.005117
ITHSUM-0.04833 0.08114-5.9560e-01 0.5529 0.2765
SKEOUSUM+0.008958 0.07809+1.1470e-01 0.9089 0.4545
SKEOU1+0.4486 0.2587+1.7340e+00 0.08629 0.04314
SKEOU2+0.9932 0.2291+4.3360e+00 3.779e-05 1.889e-05
SKEOU3-0.007391 0.2631-2.8090e-02 0.9777 0.4888
SKEOU4+0.7709 0.3321+2.3210e+00 0.02253 0.01126
SKEOU5+0.2576 0.2781+9.2640e-01 0.3567 0.1784
SKEOU6+0.07318 0.1355+5.4020e-01 0.5904 0.2952







Multiple Linear Regression - Regression Statistics
Multiple R 0.584
R-squared 0.341
Adjusted R-squared 0.2824
F-TEST (value) 5.822
F-TEST (DF numerator)8
F-TEST (DF denominator)90
p-value 5.514e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.635
Sum Squared Residuals 240.6

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Regression Statistics \tabularnewline
Multiple R &  0.584 \tabularnewline
R-squared &  0.341 \tabularnewline
Adjusted R-squared &  0.2824 \tabularnewline
F-TEST (value) &  5.822 \tabularnewline
F-TEST (DF numerator) & 8 \tabularnewline
F-TEST (DF denominator) & 90 \tabularnewline
p-value &  5.514e-06 \tabularnewline
Multiple Linear Regression - Residual Statistics \tabularnewline
Residual Standard Deviation &  1.635 \tabularnewline
Sum Squared Residuals &  240.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&T=3

[TABLE]
[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]
[ROW][C]Multiple R[/C][C] 0.584[/C][/ROW]
[ROW][C]R-squared[/C][C] 0.341[/C][/ROW]
[ROW][C]Adjusted R-squared[/C][C] 0.2824[/C][/ROW]
[ROW][C]F-TEST (value)[/C][C] 5.822[/C][/ROW]
[ROW][C]F-TEST (DF numerator)[/C][C]8[/C][/ROW]
[ROW][C]F-TEST (DF denominator)[/C][C]90[/C][/ROW]
[ROW][C]p-value[/C][C] 5.514e-06[/C][/ROW]
[ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW]
[ROW][C]Residual Standard Deviation[/C][C] 1.635[/C][/ROW]
[ROW][C]Sum Squared Residuals[/C][C] 240.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306484&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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 R 0.584
R-squared 0.341
Adjusted R-squared 0.2824
F-TEST (value) 5.822
F-TEST (DF numerator)8
F-TEST (DF denominator)90
p-value 5.514e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.635
Sum Squared Residuals 240.6







Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
1 13 13.34-0.3373
2 16 15.33 0.6664
3 17 15.98 1.022
4 16 15.46 0.544
5 17 17.16-0.159
6 17 15.88 1.123
7 16 14.87 1.133
8 14 14.29-0.2855
9 16 15.36 0.6428
10 17 15.48 1.519
11 16 14.6 1.395
12 16 15.7 0.303
13 16 14.77 1.227
14 15 15.71-0.7099
15 16 15.05 0.9516
16 16 16.17-0.1675
17 15 16.97-1.966
18 17 16.11 0.8938
19 13 13.96-0.9641
20 17 16.76 0.2427
21 14 14.06-0.05994
22 14 14.66-0.6578
23 18 15.76 2.24
24 17 17.06-0.06232
25 16 16.6-0.5951
26 15 15.29-0.2926
27 15 15.5-0.4955
28 15 15.26-0.258
29 13 16.02-3.025
30 17 16.67 0.3347
31 11 15.06-4.058
32 14 13.91 0.0866
33 13 15.76-2.76
34 17 15.36 1.636
35 16 15.24 0.755
36 17 17.76-0.7584
37 16 15.14 0.8565
38 16 16.06-0.05858
39 16 14.72 1.281
40 15 16.11-1.108
41 12 13.75-1.754
42 17 15.26 1.741
43 14 15.24-1.245
44 14 15.4-1.398
45 16 14.87 1.13
46 15 15.4-0.3958
47 16 15.88 0.1202
48 14 14.77-0.7744
49 15 14.48 0.5212
50 17 14.66 2.339
51 10 14.35-4.345
52 17 16.06 0.943
53 20 16.36 3.639
54 17 16.93 0.06881
55 18 16.01 1.988
56 14 13.02 0.9792
57 17 15.65 1.351
58 17 16.8 0.2002
59 16 15.75 0.2547
60 18 16.34 1.655
61 18 16.89 1.114
62 16 17.06-1.061
63 15 15.7-0.6969
64 13 16.1-3.105
65 16 15.66 0.3369
66 12 13.82-1.819
67 16 15.21 0.7944
68 16 15.44 0.5551
69 16 16.37-0.3727
70 14 15.68-1.676
71 15 15.08-0.07663
72 14 14.65-0.6513
73 15 15.83-0.8315
74 15 15.25-0.2523
75 16 14.93 1.07
76 11 11.64-0.64
77 18 15.51 2.491
78 11 14.3-3.298
79 18 17.39 0.6121
80 15 17.64-2.635
81 18 18.12-0.1164
82 19 16.19 2.811
83 16 16.8-0.796
84 15 14.25 0.746
85 17 15.91 1.089
86 18 17.22 0.7781
87 20 17.61 2.392
88 15 13.88 1.124
89 16 17.21-1.206
90 11 16.05-5.053
91 15 15.99-0.9871
92 17 17.3-0.2979
93 19 16.84 2.16
94 18 16.21 1.793
95 15 16.8-1.804
96 17 15.79 1.212
97 16 13.81 2.193
98 16 16.79-0.7931
99 14 16.2-2.196

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Actuals, Interpolation, and Residuals \tabularnewline
Time or Index & Actuals & InterpolationForecast & ResidualsPrediction Error \tabularnewline
1 &  13 &  13.34 & -0.3373 \tabularnewline
2 &  16 &  15.33 &  0.6664 \tabularnewline
3 &  17 &  15.98 &  1.022 \tabularnewline
4 &  16 &  15.46 &  0.544 \tabularnewline
5 &  17 &  17.16 & -0.159 \tabularnewline
6 &  17 &  15.88 &  1.123 \tabularnewline
7 &  16 &  14.87 &  1.133 \tabularnewline
8 &  14 &  14.29 & -0.2855 \tabularnewline
9 &  16 &  15.36 &  0.6428 \tabularnewline
10 &  17 &  15.48 &  1.519 \tabularnewline
11 &  16 &  14.6 &  1.395 \tabularnewline
12 &  16 &  15.7 &  0.303 \tabularnewline
13 &  16 &  14.77 &  1.227 \tabularnewline
14 &  15 &  15.71 & -0.7099 \tabularnewline
15 &  16 &  15.05 &  0.9516 \tabularnewline
16 &  16 &  16.17 & -0.1675 \tabularnewline
17 &  15 &  16.97 & -1.966 \tabularnewline
18 &  17 &  16.11 &  0.8938 \tabularnewline
19 &  13 &  13.96 & -0.9641 \tabularnewline
20 &  17 &  16.76 &  0.2427 \tabularnewline
21 &  14 &  14.06 & -0.05994 \tabularnewline
22 &  14 &  14.66 & -0.6578 \tabularnewline
23 &  18 &  15.76 &  2.24 \tabularnewline
24 &  17 &  17.06 & -0.06232 \tabularnewline
25 &  16 &  16.6 & -0.5951 \tabularnewline
26 &  15 &  15.29 & -0.2926 \tabularnewline
27 &  15 &  15.5 & -0.4955 \tabularnewline
28 &  15 &  15.26 & -0.258 \tabularnewline
29 &  13 &  16.02 & -3.025 \tabularnewline
30 &  17 &  16.67 &  0.3347 \tabularnewline
31 &  11 &  15.06 & -4.058 \tabularnewline
32 &  14 &  13.91 &  0.0866 \tabularnewline
33 &  13 &  15.76 & -2.76 \tabularnewline
34 &  17 &  15.36 &  1.636 \tabularnewline
35 &  16 &  15.24 &  0.755 \tabularnewline
36 &  17 &  17.76 & -0.7584 \tabularnewline
37 &  16 &  15.14 &  0.8565 \tabularnewline
38 &  16 &  16.06 & -0.05858 \tabularnewline
39 &  16 &  14.72 &  1.281 \tabularnewline
40 &  15 &  16.11 & -1.108 \tabularnewline
41 &  12 &  13.75 & -1.754 \tabularnewline
42 &  17 &  15.26 &  1.741 \tabularnewline
43 &  14 &  15.24 & -1.245 \tabularnewline
44 &  14 &  15.4 & -1.398 \tabularnewline
45 &  16 &  14.87 &  1.13 \tabularnewline
46 &  15 &  15.4 & -0.3958 \tabularnewline
47 &  16 &  15.88 &  0.1202 \tabularnewline
48 &  14 &  14.77 & -0.7744 \tabularnewline
49 &  15 &  14.48 &  0.5212 \tabularnewline
50 &  17 &  14.66 &  2.339 \tabularnewline
51 &  10 &  14.35 & -4.345 \tabularnewline
52 &  17 &  16.06 &  0.943 \tabularnewline
53 &  20 &  16.36 &  3.639 \tabularnewline
54 &  17 &  16.93 &  0.06881 \tabularnewline
55 &  18 &  16.01 &  1.988 \tabularnewline
56 &  14 &  13.02 &  0.9792 \tabularnewline
57 &  17 &  15.65 &  1.351 \tabularnewline
58 &  17 &  16.8 &  0.2002 \tabularnewline
59 &  16 &  15.75 &  0.2547 \tabularnewline
60 &  18 &  16.34 &  1.655 \tabularnewline
61 &  18 &  16.89 &  1.114 \tabularnewline
62 &  16 &  17.06 & -1.061 \tabularnewline
63 &  15 &  15.7 & -0.6969 \tabularnewline
64 &  13 &  16.1 & -3.105 \tabularnewline
65 &  16 &  15.66 &  0.3369 \tabularnewline
66 &  12 &  13.82 & -1.819 \tabularnewline
67 &  16 &  15.21 &  0.7944 \tabularnewline
68 &  16 &  15.44 &  0.5551 \tabularnewline
69 &  16 &  16.37 & -0.3727 \tabularnewline
70 &  14 &  15.68 & -1.676 \tabularnewline
71 &  15 &  15.08 & -0.07663 \tabularnewline
72 &  14 &  14.65 & -0.6513 \tabularnewline
73 &  15 &  15.83 & -0.8315 \tabularnewline
74 &  15 &  15.25 & -0.2523 \tabularnewline
75 &  16 &  14.93 &  1.07 \tabularnewline
76 &  11 &  11.64 & -0.64 \tabularnewline
77 &  18 &  15.51 &  2.491 \tabularnewline
78 &  11 &  14.3 & -3.298 \tabularnewline
79 &  18 &  17.39 &  0.6121 \tabularnewline
80 &  15 &  17.64 & -2.635 \tabularnewline
81 &  18 &  18.12 & -0.1164 \tabularnewline
82 &  19 &  16.19 &  2.811 \tabularnewline
83 &  16 &  16.8 & -0.796 \tabularnewline
84 &  15 &  14.25 &  0.746 \tabularnewline
85 &  17 &  15.91 &  1.089 \tabularnewline
86 &  18 &  17.22 &  0.7781 \tabularnewline
87 &  20 &  17.61 &  2.392 \tabularnewline
88 &  15 &  13.88 &  1.124 \tabularnewline
89 &  16 &  17.21 & -1.206 \tabularnewline
90 &  11 &  16.05 & -5.053 \tabularnewline
91 &  15 &  15.99 & -0.9871 \tabularnewline
92 &  17 &  17.3 & -0.2979 \tabularnewline
93 &  19 &  16.84 &  2.16 \tabularnewline
94 &  18 &  16.21 &  1.793 \tabularnewline
95 &  15 &  16.8 & -1.804 \tabularnewline
96 &  17 &  15.79 &  1.212 \tabularnewline
97 &  16 &  13.81 &  2.193 \tabularnewline
98 &  16 &  16.79 & -0.7931 \tabularnewline
99 &  14 &  16.2 & -2.196 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&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] 13[/C][C] 13.34[/C][C]-0.3373[/C][/ROW]
[ROW][C]2[/C][C] 16[/C][C] 15.33[/C][C] 0.6664[/C][/ROW]
[ROW][C]3[/C][C] 17[/C][C] 15.98[/C][C] 1.022[/C][/ROW]
[ROW][C]4[/C][C] 16[/C][C] 15.46[/C][C] 0.544[/C][/ROW]
[ROW][C]5[/C][C] 17[/C][C] 17.16[/C][C]-0.159[/C][/ROW]
[ROW][C]6[/C][C] 17[/C][C] 15.88[/C][C] 1.123[/C][/ROW]
[ROW][C]7[/C][C] 16[/C][C] 14.87[/C][C] 1.133[/C][/ROW]
[ROW][C]8[/C][C] 14[/C][C] 14.29[/C][C]-0.2855[/C][/ROW]
[ROW][C]9[/C][C] 16[/C][C] 15.36[/C][C] 0.6428[/C][/ROW]
[ROW][C]10[/C][C] 17[/C][C] 15.48[/C][C] 1.519[/C][/ROW]
[ROW][C]11[/C][C] 16[/C][C] 14.6[/C][C] 1.395[/C][/ROW]
[ROW][C]12[/C][C] 16[/C][C] 15.7[/C][C] 0.303[/C][/ROW]
[ROW][C]13[/C][C] 16[/C][C] 14.77[/C][C] 1.227[/C][/ROW]
[ROW][C]14[/C][C] 15[/C][C] 15.71[/C][C]-0.7099[/C][/ROW]
[ROW][C]15[/C][C] 16[/C][C] 15.05[/C][C] 0.9516[/C][/ROW]
[ROW][C]16[/C][C] 16[/C][C] 16.17[/C][C]-0.1675[/C][/ROW]
[ROW][C]17[/C][C] 15[/C][C] 16.97[/C][C]-1.966[/C][/ROW]
[ROW][C]18[/C][C] 17[/C][C] 16.11[/C][C] 0.8938[/C][/ROW]
[ROW][C]19[/C][C] 13[/C][C] 13.96[/C][C]-0.9641[/C][/ROW]
[ROW][C]20[/C][C] 17[/C][C] 16.76[/C][C] 0.2427[/C][/ROW]
[ROW][C]21[/C][C] 14[/C][C] 14.06[/C][C]-0.05994[/C][/ROW]
[ROW][C]22[/C][C] 14[/C][C] 14.66[/C][C]-0.6578[/C][/ROW]
[ROW][C]23[/C][C] 18[/C][C] 15.76[/C][C] 2.24[/C][/ROW]
[ROW][C]24[/C][C] 17[/C][C] 17.06[/C][C]-0.06232[/C][/ROW]
[ROW][C]25[/C][C] 16[/C][C] 16.6[/C][C]-0.5951[/C][/ROW]
[ROW][C]26[/C][C] 15[/C][C] 15.29[/C][C]-0.2926[/C][/ROW]
[ROW][C]27[/C][C] 15[/C][C] 15.5[/C][C]-0.4955[/C][/ROW]
[ROW][C]28[/C][C] 15[/C][C] 15.26[/C][C]-0.258[/C][/ROW]
[ROW][C]29[/C][C] 13[/C][C] 16.02[/C][C]-3.025[/C][/ROW]
[ROW][C]30[/C][C] 17[/C][C] 16.67[/C][C] 0.3347[/C][/ROW]
[ROW][C]31[/C][C] 11[/C][C] 15.06[/C][C]-4.058[/C][/ROW]
[ROW][C]32[/C][C] 14[/C][C] 13.91[/C][C] 0.0866[/C][/ROW]
[ROW][C]33[/C][C] 13[/C][C] 15.76[/C][C]-2.76[/C][/ROW]
[ROW][C]34[/C][C] 17[/C][C] 15.36[/C][C] 1.636[/C][/ROW]
[ROW][C]35[/C][C] 16[/C][C] 15.24[/C][C] 0.755[/C][/ROW]
[ROW][C]36[/C][C] 17[/C][C] 17.76[/C][C]-0.7584[/C][/ROW]
[ROW][C]37[/C][C] 16[/C][C] 15.14[/C][C] 0.8565[/C][/ROW]
[ROW][C]38[/C][C] 16[/C][C] 16.06[/C][C]-0.05858[/C][/ROW]
[ROW][C]39[/C][C] 16[/C][C] 14.72[/C][C] 1.281[/C][/ROW]
[ROW][C]40[/C][C] 15[/C][C] 16.11[/C][C]-1.108[/C][/ROW]
[ROW][C]41[/C][C] 12[/C][C] 13.75[/C][C]-1.754[/C][/ROW]
[ROW][C]42[/C][C] 17[/C][C] 15.26[/C][C] 1.741[/C][/ROW]
[ROW][C]43[/C][C] 14[/C][C] 15.24[/C][C]-1.245[/C][/ROW]
[ROW][C]44[/C][C] 14[/C][C] 15.4[/C][C]-1.398[/C][/ROW]
[ROW][C]45[/C][C] 16[/C][C] 14.87[/C][C] 1.13[/C][/ROW]
[ROW][C]46[/C][C] 15[/C][C] 15.4[/C][C]-0.3958[/C][/ROW]
[ROW][C]47[/C][C] 16[/C][C] 15.88[/C][C] 0.1202[/C][/ROW]
[ROW][C]48[/C][C] 14[/C][C] 14.77[/C][C]-0.7744[/C][/ROW]
[ROW][C]49[/C][C] 15[/C][C] 14.48[/C][C] 0.5212[/C][/ROW]
[ROW][C]50[/C][C] 17[/C][C] 14.66[/C][C] 2.339[/C][/ROW]
[ROW][C]51[/C][C] 10[/C][C] 14.35[/C][C]-4.345[/C][/ROW]
[ROW][C]52[/C][C] 17[/C][C] 16.06[/C][C] 0.943[/C][/ROW]
[ROW][C]53[/C][C] 20[/C][C] 16.36[/C][C] 3.639[/C][/ROW]
[ROW][C]54[/C][C] 17[/C][C] 16.93[/C][C] 0.06881[/C][/ROW]
[ROW][C]55[/C][C] 18[/C][C] 16.01[/C][C] 1.988[/C][/ROW]
[ROW][C]56[/C][C] 14[/C][C] 13.02[/C][C] 0.9792[/C][/ROW]
[ROW][C]57[/C][C] 17[/C][C] 15.65[/C][C] 1.351[/C][/ROW]
[ROW][C]58[/C][C] 17[/C][C] 16.8[/C][C] 0.2002[/C][/ROW]
[ROW][C]59[/C][C] 16[/C][C] 15.75[/C][C] 0.2547[/C][/ROW]
[ROW][C]60[/C][C] 18[/C][C] 16.34[/C][C] 1.655[/C][/ROW]
[ROW][C]61[/C][C] 18[/C][C] 16.89[/C][C] 1.114[/C][/ROW]
[ROW][C]62[/C][C] 16[/C][C] 17.06[/C][C]-1.061[/C][/ROW]
[ROW][C]63[/C][C] 15[/C][C] 15.7[/C][C]-0.6969[/C][/ROW]
[ROW][C]64[/C][C] 13[/C][C] 16.1[/C][C]-3.105[/C][/ROW]
[ROW][C]65[/C][C] 16[/C][C] 15.66[/C][C] 0.3369[/C][/ROW]
[ROW][C]66[/C][C] 12[/C][C] 13.82[/C][C]-1.819[/C][/ROW]
[ROW][C]67[/C][C] 16[/C][C] 15.21[/C][C] 0.7944[/C][/ROW]
[ROW][C]68[/C][C] 16[/C][C] 15.44[/C][C] 0.5551[/C][/ROW]
[ROW][C]69[/C][C] 16[/C][C] 16.37[/C][C]-0.3727[/C][/ROW]
[ROW][C]70[/C][C] 14[/C][C] 15.68[/C][C]-1.676[/C][/ROW]
[ROW][C]71[/C][C] 15[/C][C] 15.08[/C][C]-0.07663[/C][/ROW]
[ROW][C]72[/C][C] 14[/C][C] 14.65[/C][C]-0.6513[/C][/ROW]
[ROW][C]73[/C][C] 15[/C][C] 15.83[/C][C]-0.8315[/C][/ROW]
[ROW][C]74[/C][C] 15[/C][C] 15.25[/C][C]-0.2523[/C][/ROW]
[ROW][C]75[/C][C] 16[/C][C] 14.93[/C][C] 1.07[/C][/ROW]
[ROW][C]76[/C][C] 11[/C][C] 11.64[/C][C]-0.64[/C][/ROW]
[ROW][C]77[/C][C] 18[/C][C] 15.51[/C][C] 2.491[/C][/ROW]
[ROW][C]78[/C][C] 11[/C][C] 14.3[/C][C]-3.298[/C][/ROW]
[ROW][C]79[/C][C] 18[/C][C] 17.39[/C][C] 0.6121[/C][/ROW]
[ROW][C]80[/C][C] 15[/C][C] 17.64[/C][C]-2.635[/C][/ROW]
[ROW][C]81[/C][C] 18[/C][C] 18.12[/C][C]-0.1164[/C][/ROW]
[ROW][C]82[/C][C] 19[/C][C] 16.19[/C][C] 2.811[/C][/ROW]
[ROW][C]83[/C][C] 16[/C][C] 16.8[/C][C]-0.796[/C][/ROW]
[ROW][C]84[/C][C] 15[/C][C] 14.25[/C][C] 0.746[/C][/ROW]
[ROW][C]85[/C][C] 17[/C][C] 15.91[/C][C] 1.089[/C][/ROW]
[ROW][C]86[/C][C] 18[/C][C] 17.22[/C][C] 0.7781[/C][/ROW]
[ROW][C]87[/C][C] 20[/C][C] 17.61[/C][C] 2.392[/C][/ROW]
[ROW][C]88[/C][C] 15[/C][C] 13.88[/C][C] 1.124[/C][/ROW]
[ROW][C]89[/C][C] 16[/C][C] 17.21[/C][C]-1.206[/C][/ROW]
[ROW][C]90[/C][C] 11[/C][C] 16.05[/C][C]-5.053[/C][/ROW]
[ROW][C]91[/C][C] 15[/C][C] 15.99[/C][C]-0.9871[/C][/ROW]
[ROW][C]92[/C][C] 17[/C][C] 17.3[/C][C]-0.2979[/C][/ROW]
[ROW][C]93[/C][C] 19[/C][C] 16.84[/C][C] 2.16[/C][/ROW]
[ROW][C]94[/C][C] 18[/C][C] 16.21[/C][C] 1.793[/C][/ROW]
[ROW][C]95[/C][C] 15[/C][C] 16.8[/C][C]-1.804[/C][/ROW]
[ROW][C]96[/C][C] 17[/C][C] 15.79[/C][C] 1.212[/C][/ROW]
[ROW][C]97[/C][C] 16[/C][C] 13.81[/C][C] 2.193[/C][/ROW]
[ROW][C]98[/C][C] 16[/C][C] 16.79[/C][C]-0.7931[/C][/ROW]
[ROW][C]99[/C][C] 14[/C][C] 16.2[/C][C]-2.196[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306484&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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
1 13 13.34-0.3373
2 16 15.33 0.6664
3 17 15.98 1.022
4 16 15.46 0.544
5 17 17.16-0.159
6 17 15.88 1.123
7 16 14.87 1.133
8 14 14.29-0.2855
9 16 15.36 0.6428
10 17 15.48 1.519
11 16 14.6 1.395
12 16 15.7 0.303
13 16 14.77 1.227
14 15 15.71-0.7099
15 16 15.05 0.9516
16 16 16.17-0.1675
17 15 16.97-1.966
18 17 16.11 0.8938
19 13 13.96-0.9641
20 17 16.76 0.2427
21 14 14.06-0.05994
22 14 14.66-0.6578
23 18 15.76 2.24
24 17 17.06-0.06232
25 16 16.6-0.5951
26 15 15.29-0.2926
27 15 15.5-0.4955
28 15 15.26-0.258
29 13 16.02-3.025
30 17 16.67 0.3347
31 11 15.06-4.058
32 14 13.91 0.0866
33 13 15.76-2.76
34 17 15.36 1.636
35 16 15.24 0.755
36 17 17.76-0.7584
37 16 15.14 0.8565
38 16 16.06-0.05858
39 16 14.72 1.281
40 15 16.11-1.108
41 12 13.75-1.754
42 17 15.26 1.741
43 14 15.24-1.245
44 14 15.4-1.398
45 16 14.87 1.13
46 15 15.4-0.3958
47 16 15.88 0.1202
48 14 14.77-0.7744
49 15 14.48 0.5212
50 17 14.66 2.339
51 10 14.35-4.345
52 17 16.06 0.943
53 20 16.36 3.639
54 17 16.93 0.06881
55 18 16.01 1.988
56 14 13.02 0.9792
57 17 15.65 1.351
58 17 16.8 0.2002
59 16 15.75 0.2547
60 18 16.34 1.655
61 18 16.89 1.114
62 16 17.06-1.061
63 15 15.7-0.6969
64 13 16.1-3.105
65 16 15.66 0.3369
66 12 13.82-1.819
67 16 15.21 0.7944
68 16 15.44 0.5551
69 16 16.37-0.3727
70 14 15.68-1.676
71 15 15.08-0.07663
72 14 14.65-0.6513
73 15 15.83-0.8315
74 15 15.25-0.2523
75 16 14.93 1.07
76 11 11.64-0.64
77 18 15.51 2.491
78 11 14.3-3.298
79 18 17.39 0.6121
80 15 17.64-2.635
81 18 18.12-0.1164
82 19 16.19 2.811
83 16 16.8-0.796
84 15 14.25 0.746
85 17 15.91 1.089
86 18 17.22 0.7781
87 20 17.61 2.392
88 15 13.88 1.124
89 16 17.21-1.206
90 11 16.05-5.053
91 15 15.99-0.9871
92 17 17.3-0.2979
93 19 16.84 2.16
94 18 16.21 1.793
95 15 16.8-1.804
96 17 15.79 1.212
97 16 13.81 2.193
98 16 16.79-0.7931
99 14 16.2-2.196







Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
12 0.1252 0.2503 0.8748
13 0.04931 0.09862 0.9507
14 0.09975 0.1995 0.9003
15 0.04873 0.09745 0.9513
16 0.02306 0.04613 0.9769
17 0.06493 0.1299 0.9351
18 0.0611 0.1222 0.9389
19 0.043 0.086 0.957
20 0.02695 0.0539 0.973
21 0.01782 0.03563 0.9822
22 0.01301 0.02603 0.987
23 0.033 0.066 0.967
24 0.01979 0.03958 0.9802
25 0.01389 0.02778 0.9861
26 0.008034 0.01607 0.992
27 0.006083 0.01217 0.9939
28 0.003915 0.007831 0.9961
29 0.01928 0.03856 0.9807
30 0.01245 0.02489 0.9876
31 0.09931 0.1986 0.9007
32 0.07223 0.1445 0.9278
33 0.1169 0.2337 0.8831
34 0.1211 0.2422 0.8789
35 0.09545 0.1909 0.9046
36 0.07283 0.1457 0.9272
37 0.05563 0.1113 0.9444
38 0.03938 0.07876 0.9606
39 0.03746 0.07491 0.9625
40 0.03095 0.0619 0.969
41 0.02948 0.05896 0.9705
42 0.02765 0.0553 0.9723
43 0.02874 0.05749 0.9713
44 0.02999 0.05999 0.97
45 0.02326 0.04653 0.9767
46 0.01831 0.03663 0.9817
47 0.01227 0.02453 0.9877
48 0.009608 0.01922 0.9904
49 0.007195 0.01439 0.9928
50 0.01458 0.02917 0.9854
51 0.1111 0.2223 0.8889
52 0.09623 0.1925 0.9038
53 0.2097 0.4193 0.7903
54 0.168 0.336 0.832
55 0.1821 0.3643 0.8179
56 0.1566 0.3131 0.8434
57 0.1507 0.3015 0.8493
58 0.1181 0.2363 0.8819
59 0.09117 0.1823 0.9088
60 0.09019 0.1804 0.9098
61 0.08113 0.1623 0.9189
62 0.06587 0.1317 0.9341
63 0.04952 0.09903 0.9505
64 0.08723 0.1745 0.9128
65 0.06526 0.1305 0.9347
66 0.06737 0.1347 0.9326
67 0.05607 0.1121 0.9439
68 0.05176 0.1035 0.9482
69 0.03691 0.07381 0.9631
70 0.034 0.06801 0.966
71 0.02272 0.04545 0.9773
72 0.01517 0.03034 0.9848
73 0.0107 0.02139 0.9893
74 0.006897 0.01379 0.9931
75 0.005326 0.01065 0.9947
76 0.003113 0.006226 0.9969
77 0.004879 0.009758 0.9951
78 0.0118 0.02361 0.9882
79 0.006759 0.01352 0.9932
80 0.005542 0.01108 0.9945
81 0.003278 0.006555 0.9967
82 0.01244 0.02487 0.9876
83 0.007067 0.01413 0.9929
84 0.004818 0.009636 0.9952
85 0.003618 0.007237 0.9964
86 0.001572 0.003144 0.9984
87 0.2314 0.4627 0.7686

\begin{tabular}{lllllllll}
\hline
Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
p-values & Alternative Hypothesis \tabularnewline
breakpoint index & greater & 2-sided & less \tabularnewline
12 &  0.1252 &  0.2503 &  0.8748 \tabularnewline
13 &  0.04931 &  0.09862 &  0.9507 \tabularnewline
14 &  0.09975 &  0.1995 &  0.9003 \tabularnewline
15 &  0.04873 &  0.09745 &  0.9513 \tabularnewline
16 &  0.02306 &  0.04613 &  0.9769 \tabularnewline
17 &  0.06493 &  0.1299 &  0.9351 \tabularnewline
18 &  0.0611 &  0.1222 &  0.9389 \tabularnewline
19 &  0.043 &  0.086 &  0.957 \tabularnewline
20 &  0.02695 &  0.0539 &  0.973 \tabularnewline
21 &  0.01782 &  0.03563 &  0.9822 \tabularnewline
22 &  0.01301 &  0.02603 &  0.987 \tabularnewline
23 &  0.033 &  0.066 &  0.967 \tabularnewline
24 &  0.01979 &  0.03958 &  0.9802 \tabularnewline
25 &  0.01389 &  0.02778 &  0.9861 \tabularnewline
26 &  0.008034 &  0.01607 &  0.992 \tabularnewline
27 &  0.006083 &  0.01217 &  0.9939 \tabularnewline
28 &  0.003915 &  0.007831 &  0.9961 \tabularnewline
29 &  0.01928 &  0.03856 &  0.9807 \tabularnewline
30 &  0.01245 &  0.02489 &  0.9876 \tabularnewline
31 &  0.09931 &  0.1986 &  0.9007 \tabularnewline
32 &  0.07223 &  0.1445 &  0.9278 \tabularnewline
33 &  0.1169 &  0.2337 &  0.8831 \tabularnewline
34 &  0.1211 &  0.2422 &  0.8789 \tabularnewline
35 &  0.09545 &  0.1909 &  0.9046 \tabularnewline
36 &  0.07283 &  0.1457 &  0.9272 \tabularnewline
37 &  0.05563 &  0.1113 &  0.9444 \tabularnewline
38 &  0.03938 &  0.07876 &  0.9606 \tabularnewline
39 &  0.03746 &  0.07491 &  0.9625 \tabularnewline
40 &  0.03095 &  0.0619 &  0.969 \tabularnewline
41 &  0.02948 &  0.05896 &  0.9705 \tabularnewline
42 &  0.02765 &  0.0553 &  0.9723 \tabularnewline
43 &  0.02874 &  0.05749 &  0.9713 \tabularnewline
44 &  0.02999 &  0.05999 &  0.97 \tabularnewline
45 &  0.02326 &  0.04653 &  0.9767 \tabularnewline
46 &  0.01831 &  0.03663 &  0.9817 \tabularnewline
47 &  0.01227 &  0.02453 &  0.9877 \tabularnewline
48 &  0.009608 &  0.01922 &  0.9904 \tabularnewline
49 &  0.007195 &  0.01439 &  0.9928 \tabularnewline
50 &  0.01458 &  0.02917 &  0.9854 \tabularnewline
51 &  0.1111 &  0.2223 &  0.8889 \tabularnewline
52 &  0.09623 &  0.1925 &  0.9038 \tabularnewline
53 &  0.2097 &  0.4193 &  0.7903 \tabularnewline
54 &  0.168 &  0.336 &  0.832 \tabularnewline
55 &  0.1821 &  0.3643 &  0.8179 \tabularnewline
56 &  0.1566 &  0.3131 &  0.8434 \tabularnewline
57 &  0.1507 &  0.3015 &  0.8493 \tabularnewline
58 &  0.1181 &  0.2363 &  0.8819 \tabularnewline
59 &  0.09117 &  0.1823 &  0.9088 \tabularnewline
60 &  0.09019 &  0.1804 &  0.9098 \tabularnewline
61 &  0.08113 &  0.1623 &  0.9189 \tabularnewline
62 &  0.06587 &  0.1317 &  0.9341 \tabularnewline
63 &  0.04952 &  0.09903 &  0.9505 \tabularnewline
64 &  0.08723 &  0.1745 &  0.9128 \tabularnewline
65 &  0.06526 &  0.1305 &  0.9347 \tabularnewline
66 &  0.06737 &  0.1347 &  0.9326 \tabularnewline
67 &  0.05607 &  0.1121 &  0.9439 \tabularnewline
68 &  0.05176 &  0.1035 &  0.9482 \tabularnewline
69 &  0.03691 &  0.07381 &  0.9631 \tabularnewline
70 &  0.034 &  0.06801 &  0.966 \tabularnewline
71 &  0.02272 &  0.04545 &  0.9773 \tabularnewline
72 &  0.01517 &  0.03034 &  0.9848 \tabularnewline
73 &  0.0107 &  0.02139 &  0.9893 \tabularnewline
74 &  0.006897 &  0.01379 &  0.9931 \tabularnewline
75 &  0.005326 &  0.01065 &  0.9947 \tabularnewline
76 &  0.003113 &  0.006226 &  0.9969 \tabularnewline
77 &  0.004879 &  0.009758 &  0.9951 \tabularnewline
78 &  0.0118 &  0.02361 &  0.9882 \tabularnewline
79 &  0.006759 &  0.01352 &  0.9932 \tabularnewline
80 &  0.005542 &  0.01108 &  0.9945 \tabularnewline
81 &  0.003278 &  0.006555 &  0.9967 \tabularnewline
82 &  0.01244 &  0.02487 &  0.9876 \tabularnewline
83 &  0.007067 &  0.01413 &  0.9929 \tabularnewline
84 &  0.004818 &  0.009636 &  0.9952 \tabularnewline
85 &  0.003618 &  0.007237 &  0.9964 \tabularnewline
86 &  0.001572 &  0.003144 &  0.9984 \tabularnewline
87 &  0.2314 &  0.4627 &  0.7686 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&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]12[/C][C] 0.1252[/C][C] 0.2503[/C][C] 0.8748[/C][/ROW]
[ROW][C]13[/C][C] 0.04931[/C][C] 0.09862[/C][C] 0.9507[/C][/ROW]
[ROW][C]14[/C][C] 0.09975[/C][C] 0.1995[/C][C] 0.9003[/C][/ROW]
[ROW][C]15[/C][C] 0.04873[/C][C] 0.09745[/C][C] 0.9513[/C][/ROW]
[ROW][C]16[/C][C] 0.02306[/C][C] 0.04613[/C][C] 0.9769[/C][/ROW]
[ROW][C]17[/C][C] 0.06493[/C][C] 0.1299[/C][C] 0.9351[/C][/ROW]
[ROW][C]18[/C][C] 0.0611[/C][C] 0.1222[/C][C] 0.9389[/C][/ROW]
[ROW][C]19[/C][C] 0.043[/C][C] 0.086[/C][C] 0.957[/C][/ROW]
[ROW][C]20[/C][C] 0.02695[/C][C] 0.0539[/C][C] 0.973[/C][/ROW]
[ROW][C]21[/C][C] 0.01782[/C][C] 0.03563[/C][C] 0.9822[/C][/ROW]
[ROW][C]22[/C][C] 0.01301[/C][C] 0.02603[/C][C] 0.987[/C][/ROW]
[ROW][C]23[/C][C] 0.033[/C][C] 0.066[/C][C] 0.967[/C][/ROW]
[ROW][C]24[/C][C] 0.01979[/C][C] 0.03958[/C][C] 0.9802[/C][/ROW]
[ROW][C]25[/C][C] 0.01389[/C][C] 0.02778[/C][C] 0.9861[/C][/ROW]
[ROW][C]26[/C][C] 0.008034[/C][C] 0.01607[/C][C] 0.992[/C][/ROW]
[ROW][C]27[/C][C] 0.006083[/C][C] 0.01217[/C][C] 0.9939[/C][/ROW]
[ROW][C]28[/C][C] 0.003915[/C][C] 0.007831[/C][C] 0.9961[/C][/ROW]
[ROW][C]29[/C][C] 0.01928[/C][C] 0.03856[/C][C] 0.9807[/C][/ROW]
[ROW][C]30[/C][C] 0.01245[/C][C] 0.02489[/C][C] 0.9876[/C][/ROW]
[ROW][C]31[/C][C] 0.09931[/C][C] 0.1986[/C][C] 0.9007[/C][/ROW]
[ROW][C]32[/C][C] 0.07223[/C][C] 0.1445[/C][C] 0.9278[/C][/ROW]
[ROW][C]33[/C][C] 0.1169[/C][C] 0.2337[/C][C] 0.8831[/C][/ROW]
[ROW][C]34[/C][C] 0.1211[/C][C] 0.2422[/C][C] 0.8789[/C][/ROW]
[ROW][C]35[/C][C] 0.09545[/C][C] 0.1909[/C][C] 0.9046[/C][/ROW]
[ROW][C]36[/C][C] 0.07283[/C][C] 0.1457[/C][C] 0.9272[/C][/ROW]
[ROW][C]37[/C][C] 0.05563[/C][C] 0.1113[/C][C] 0.9444[/C][/ROW]
[ROW][C]38[/C][C] 0.03938[/C][C] 0.07876[/C][C] 0.9606[/C][/ROW]
[ROW][C]39[/C][C] 0.03746[/C][C] 0.07491[/C][C] 0.9625[/C][/ROW]
[ROW][C]40[/C][C] 0.03095[/C][C] 0.0619[/C][C] 0.969[/C][/ROW]
[ROW][C]41[/C][C] 0.02948[/C][C] 0.05896[/C][C] 0.9705[/C][/ROW]
[ROW][C]42[/C][C] 0.02765[/C][C] 0.0553[/C][C] 0.9723[/C][/ROW]
[ROW][C]43[/C][C] 0.02874[/C][C] 0.05749[/C][C] 0.9713[/C][/ROW]
[ROW][C]44[/C][C] 0.02999[/C][C] 0.05999[/C][C] 0.97[/C][/ROW]
[ROW][C]45[/C][C] 0.02326[/C][C] 0.04653[/C][C] 0.9767[/C][/ROW]
[ROW][C]46[/C][C] 0.01831[/C][C] 0.03663[/C][C] 0.9817[/C][/ROW]
[ROW][C]47[/C][C] 0.01227[/C][C] 0.02453[/C][C] 0.9877[/C][/ROW]
[ROW][C]48[/C][C] 0.009608[/C][C] 0.01922[/C][C] 0.9904[/C][/ROW]
[ROW][C]49[/C][C] 0.007195[/C][C] 0.01439[/C][C] 0.9928[/C][/ROW]
[ROW][C]50[/C][C] 0.01458[/C][C] 0.02917[/C][C] 0.9854[/C][/ROW]
[ROW][C]51[/C][C] 0.1111[/C][C] 0.2223[/C][C] 0.8889[/C][/ROW]
[ROW][C]52[/C][C] 0.09623[/C][C] 0.1925[/C][C] 0.9038[/C][/ROW]
[ROW][C]53[/C][C] 0.2097[/C][C] 0.4193[/C][C] 0.7903[/C][/ROW]
[ROW][C]54[/C][C] 0.168[/C][C] 0.336[/C][C] 0.832[/C][/ROW]
[ROW][C]55[/C][C] 0.1821[/C][C] 0.3643[/C][C] 0.8179[/C][/ROW]
[ROW][C]56[/C][C] 0.1566[/C][C] 0.3131[/C][C] 0.8434[/C][/ROW]
[ROW][C]57[/C][C] 0.1507[/C][C] 0.3015[/C][C] 0.8493[/C][/ROW]
[ROW][C]58[/C][C] 0.1181[/C][C] 0.2363[/C][C] 0.8819[/C][/ROW]
[ROW][C]59[/C][C] 0.09117[/C][C] 0.1823[/C][C] 0.9088[/C][/ROW]
[ROW][C]60[/C][C] 0.09019[/C][C] 0.1804[/C][C] 0.9098[/C][/ROW]
[ROW][C]61[/C][C] 0.08113[/C][C] 0.1623[/C][C] 0.9189[/C][/ROW]
[ROW][C]62[/C][C] 0.06587[/C][C] 0.1317[/C][C] 0.9341[/C][/ROW]
[ROW][C]63[/C][C] 0.04952[/C][C] 0.09903[/C][C] 0.9505[/C][/ROW]
[ROW][C]64[/C][C] 0.08723[/C][C] 0.1745[/C][C] 0.9128[/C][/ROW]
[ROW][C]65[/C][C] 0.06526[/C][C] 0.1305[/C][C] 0.9347[/C][/ROW]
[ROW][C]66[/C][C] 0.06737[/C][C] 0.1347[/C][C] 0.9326[/C][/ROW]
[ROW][C]67[/C][C] 0.05607[/C][C] 0.1121[/C][C] 0.9439[/C][/ROW]
[ROW][C]68[/C][C] 0.05176[/C][C] 0.1035[/C][C] 0.9482[/C][/ROW]
[ROW][C]69[/C][C] 0.03691[/C][C] 0.07381[/C][C] 0.9631[/C][/ROW]
[ROW][C]70[/C][C] 0.034[/C][C] 0.06801[/C][C] 0.966[/C][/ROW]
[ROW][C]71[/C][C] 0.02272[/C][C] 0.04545[/C][C] 0.9773[/C][/ROW]
[ROW][C]72[/C][C] 0.01517[/C][C] 0.03034[/C][C] 0.9848[/C][/ROW]
[ROW][C]73[/C][C] 0.0107[/C][C] 0.02139[/C][C] 0.9893[/C][/ROW]
[ROW][C]74[/C][C] 0.006897[/C][C] 0.01379[/C][C] 0.9931[/C][/ROW]
[ROW][C]75[/C][C] 0.005326[/C][C] 0.01065[/C][C] 0.9947[/C][/ROW]
[ROW][C]76[/C][C] 0.003113[/C][C] 0.006226[/C][C] 0.9969[/C][/ROW]
[ROW][C]77[/C][C] 0.004879[/C][C] 0.009758[/C][C] 0.9951[/C][/ROW]
[ROW][C]78[/C][C] 0.0118[/C][C] 0.02361[/C][C] 0.9882[/C][/ROW]
[ROW][C]79[/C][C] 0.006759[/C][C] 0.01352[/C][C] 0.9932[/C][/ROW]
[ROW][C]80[/C][C] 0.005542[/C][C] 0.01108[/C][C] 0.9945[/C][/ROW]
[ROW][C]81[/C][C] 0.003278[/C][C] 0.006555[/C][C] 0.9967[/C][/ROW]
[ROW][C]82[/C][C] 0.01244[/C][C] 0.02487[/C][C] 0.9876[/C][/ROW]
[ROW][C]83[/C][C] 0.007067[/C][C] 0.01413[/C][C] 0.9929[/C][/ROW]
[ROW][C]84[/C][C] 0.004818[/C][C] 0.009636[/C][C] 0.9952[/C][/ROW]
[ROW][C]85[/C][C] 0.003618[/C][C] 0.007237[/C][C] 0.9964[/C][/ROW]
[ROW][C]86[/C][C] 0.001572[/C][C] 0.003144[/C][C] 0.9984[/C][/ROW]
[ROW][C]87[/C][C] 0.2314[/C][C] 0.4627[/C][C] 0.7686[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306484&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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
12 0.1252 0.2503 0.8748
13 0.04931 0.09862 0.9507
14 0.09975 0.1995 0.9003
15 0.04873 0.09745 0.9513
16 0.02306 0.04613 0.9769
17 0.06493 0.1299 0.9351
18 0.0611 0.1222 0.9389
19 0.043 0.086 0.957
20 0.02695 0.0539 0.973
21 0.01782 0.03563 0.9822
22 0.01301 0.02603 0.987
23 0.033 0.066 0.967
24 0.01979 0.03958 0.9802
25 0.01389 0.02778 0.9861
26 0.008034 0.01607 0.992
27 0.006083 0.01217 0.9939
28 0.003915 0.007831 0.9961
29 0.01928 0.03856 0.9807
30 0.01245 0.02489 0.9876
31 0.09931 0.1986 0.9007
32 0.07223 0.1445 0.9278
33 0.1169 0.2337 0.8831
34 0.1211 0.2422 0.8789
35 0.09545 0.1909 0.9046
36 0.07283 0.1457 0.9272
37 0.05563 0.1113 0.9444
38 0.03938 0.07876 0.9606
39 0.03746 0.07491 0.9625
40 0.03095 0.0619 0.969
41 0.02948 0.05896 0.9705
42 0.02765 0.0553 0.9723
43 0.02874 0.05749 0.9713
44 0.02999 0.05999 0.97
45 0.02326 0.04653 0.9767
46 0.01831 0.03663 0.9817
47 0.01227 0.02453 0.9877
48 0.009608 0.01922 0.9904
49 0.007195 0.01439 0.9928
50 0.01458 0.02917 0.9854
51 0.1111 0.2223 0.8889
52 0.09623 0.1925 0.9038
53 0.2097 0.4193 0.7903
54 0.168 0.336 0.832
55 0.1821 0.3643 0.8179
56 0.1566 0.3131 0.8434
57 0.1507 0.3015 0.8493
58 0.1181 0.2363 0.8819
59 0.09117 0.1823 0.9088
60 0.09019 0.1804 0.9098
61 0.08113 0.1623 0.9189
62 0.06587 0.1317 0.9341
63 0.04952 0.09903 0.9505
64 0.08723 0.1745 0.9128
65 0.06526 0.1305 0.9347
66 0.06737 0.1347 0.9326
67 0.05607 0.1121 0.9439
68 0.05176 0.1035 0.9482
69 0.03691 0.07381 0.9631
70 0.034 0.06801 0.966
71 0.02272 0.04545 0.9773
72 0.01517 0.03034 0.9848
73 0.0107 0.02139 0.9893
74 0.006897 0.01379 0.9931
75 0.005326 0.01065 0.9947
76 0.003113 0.006226 0.9969
77 0.004879 0.009758 0.9951
78 0.0118 0.02361 0.9882
79 0.006759 0.01352 0.9932
80 0.005542 0.01108 0.9945
81 0.003278 0.006555 0.9967
82 0.01244 0.02487 0.9876
83 0.007067 0.01413 0.9929
84 0.004818 0.009636 0.9952
85 0.003618 0.007237 0.9964
86 0.001572 0.003144 0.9984
87 0.2314 0.4627 0.7686







Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level7 0.09211NOK
5% type I error level320.421053NOK
10% type I error level470.618421NOK

\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 & 7 &  0.09211 & NOK \tabularnewline
5% type I error level & 32 & 0.421053 & NOK \tabularnewline
10% type I error level & 47 & 0.618421 & NOK \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=306484&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]7[/C][C] 0.09211[/C][C]NOK[/C][/ROW]
[ROW][C]5% type I error level[/C][C]32[/C][C]0.421053[/C][C]NOK[/C][/ROW]
[ROW][C]10% type I error level[/C][C]47[/C][C]0.618421[/C][C]NOK[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=306484&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&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 level7 0.09211NOK
5% type I error level320.421053NOK
10% type I error level470.618421NOK







Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 0.37423, df1 = 2, df2 = 88, p-value = 0.6889
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.62918, df1 = 16, df2 = 74, p-value = 0.8502
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.059958, df1 = 2, df2 = 88, p-value = 0.9418

\begin{tabular}{lllllllll}
\hline
Ramsey RESET F-Test for powers (2 and 3) of fitted values \tabularnewline
> reset_test_fitted
	RESET test
data:  mylm
RESET = 0.37423, df1 = 2, df2 = 88, p-value = 0.6889
\tabularnewline Ramsey RESET F-Test for powers (2 and 3) of regressors \tabularnewline
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.62918, df1 = 16, df2 = 74, p-value = 0.8502
\tabularnewline Ramsey RESET F-Test for powers (2 and 3) of principal components \tabularnewline
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.059958, df1 = 2, df2 = 88, p-value = 0.9418
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=306484&T=7

[TABLE]
[ROW][C]Ramsey RESET F-Test for powers (2 and 3) of fitted values[/C][/ROW]
[ROW][C]
> reset_test_fitted
	RESET test
data:  mylm
RESET = 0.37423, df1 = 2, df2 = 88, p-value = 0.6889
[/C][/ROW] [ROW][C]Ramsey RESET F-Test for powers (2 and 3) of regressors[/C][/ROW] [ROW][C]
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.62918, df1 = 16, df2 = 74, p-value = 0.8502
[/C][/ROW] [ROW][C]Ramsey RESET F-Test for powers (2 and 3) of principal components[/C][/ROW] [ROW][C]
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.059958, df1 = 2, df2 = 88, p-value = 0.9418
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=306484&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&T=7

As an alternative you can also use a QR Code:  

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

Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 0.37423, df1 = 2, df2 = 88, p-value = 0.6889
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.62918, df1 = 16, df2 = 74, p-value = 0.8502
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.059958, df1 = 2, df2 = 88, p-value = 0.9418







Variance Inflation Factors (Multicollinearity)
> vif
   ITHSUM  SKEOUSUM    SKEOU1    SKEOU2    SKEOU3    SKEOU4    SKEOU5    SKEOU6 
 3.318447 16.306299  1.314824  1.236183  1.433578  1.403048  1.262393 14.594267 

\begin{tabular}{lllllllll}
\hline
Variance Inflation Factors (Multicollinearity) \tabularnewline
> vif
   ITHSUM  SKEOUSUM    SKEOU1    SKEOU2    SKEOU3    SKEOU4    SKEOU5    SKEOU6 
 3.318447 16.306299  1.314824  1.236183  1.433578  1.403048  1.262393 14.594267 
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=306484&T=8

[TABLE]
[ROW][C]Variance Inflation Factors (Multicollinearity)[/C][/ROW]
[ROW][C]
> vif
   ITHSUM  SKEOUSUM    SKEOU1    SKEOU2    SKEOU3    SKEOU4    SKEOU5    SKEOU6 
 3.318447 16.306299  1.314824  1.236183  1.433578  1.403048  1.262393 14.594267 
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=306484&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=306484&T=8

As an alternative you can also use a QR Code:  

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

Variance Inflation Factors (Multicollinearity)
> vif
   ITHSUM  SKEOUSUM    SKEOU1    SKEOU2    SKEOU3    SKEOU4    SKEOU5    SKEOU6 
 3.318447 16.306299  1.314824  1.236183  1.433578  1.403048  1.262393 14.594267 



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; par4 = ; par5 = ;
R code (references can be found in the software module):
par5 <- ''
par4 <- ''
par3 <- 'No Linear Trend'
par2 <- 'Do not include Seasonal Dummies'
par1 <- '1'
library(lattice)
library(lmtest)
library(car)
library(MASS)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
mywarning <- ''
par1 <- as.numeric(par1)
if(is.na(par1)) {
par1 <- 1
mywarning = 'Warning: you did not specify the column number of the endogenous series! The first column was selected by default.'
}
if (par4=='') par4 <- 0
par4 <- as.numeric(par4)
if (par5=='') par5 <- 0
par5 <- as.numeric(par5)
x <- na.omit(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'){
(n <- n -1)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par3 == 'Seasonal Differences (s=12)'){
(n <- n - 12)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B12)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+12,j] - x[i,j]
}
}
x <- x2
}
if (par3 == 'First and Seasonal Differences (s=12)'){
(n <- n -1)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
(n <- n - 12)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B12)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+12,j] - x[i,j]
}
}
x <- x2
}
if(par4 > 0) {
x2 <- array(0, dim=c(n-par4,par4), dimnames=list(1:(n-par4), paste(colnames(x)[par1],'(t-',1:par4,')',sep='')))
for (i in 1:(n-par4)) {
for (j in 1:par4) {
x2[i,j] <- x[i+par4-j,par1]
}
}
x <- cbind(x[(par4+1):n,], x2)
n <- n - par4
}
if(par5 > 0) {
x2 <- array(0, dim=c(n-par5*12,par5), dimnames=list(1:(n-par5*12), paste(colnames(x)[par1],'(t-',1:par5,'s)',sep='')))
for (i in 1:(n-par5*12)) {
for (j in 1:par5) {
x2[i,j] <- x[i+par5*12-j*12,par1]
}
}
x <- cbind(x[(par5*12+1):n,], x2)
n <- n - par5*12
}
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[n,]))
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
print(x)
(k <- length(x[n,]))
head(x)
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$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
sresid <- studres(mylm)
hist(sresid, freq=FALSE, main='Distribution of Studentized Residuals')
xfit<-seq(min(sresid),max(sresid),length=40)
yfit<-dnorm(xfit)
lines(xfit, yfit)
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqPlot(mylm, main='QQ Plot')
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
print(z)
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$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, signif(mysum$coefficients[i,1],6), sep=' ')
if (rownames(mysum$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.row.start(a)
a<-table.element(a, mywarning)
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,'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$coefficients)[i],header=TRUE)
a<-table.element(a,formatC(signif(mysum$coefficients[i,1],5),format='g',flag='+'))
a<-table.element(a,formatC(signif(mysum$coefficients[i,2],5),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$coefficients[i,3],4),format='e',flag='+'))
a<-table.element(a,formatC(signif(mysum$coefficients[i,4],4),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$coefficients[i,4]/2,4),format='g',flag=' '))
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,formatC(signif(sqrt(mysum$r.squared),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a,formatC(signif(mysum$r.squared,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a,formatC(signif(mysum$adj.r.squared,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a,formatC(signif(mysum$fstatistic[1],6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[2],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[3],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a,formatC(signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a,formatC(signif(mysum$sigma,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a,formatC(signif(sum(myerror*myerror),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
myr <- as.numeric(mysum$resid)
myr
if(n < 200) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,formatC(signif(x[i],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(x[i]-mysum$resid[i],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$resid[i],6),format='g',flag=' '))
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,formatC(signif(gqarr[mypoint-kp3+1,1],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,2],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,3],6),format='g',flag=' '))
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,signif(numsignificant1,6))
a<-table.element(a,formatC(signif(numsignificant1/numgqtests,6),format='g',flag=' '))
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,signif(numsignificant5,6))
a<-table.element(a,signif(numsignificant5/numgqtests,6))
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,signif(numsignificant10,6))
a<-table.element(a,signif(numsignificant10/numgqtests,6))
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')
}
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of fitted values',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_fitted <- resettest(mylm,power=2:3,type='fitted')
a<-table.element(a,paste('
',RC.texteval('reset_test_fitted'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of regressors',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_regressors <- resettest(mylm,power=2:3,type='regressor')
a<-table.element(a,paste('
',RC.texteval('reset_test_regressors'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of principal components',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_principal_components <- resettest(mylm,power=2:3,type='princomp')
a<-table.element(a,paste('
',RC.texteval('reset_test_principal_components'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable8.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Inflation Factors (Multicollinearity)',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
vif <- vif(mylm)
a<-table.element(a,paste('
',RC.texteval('vif'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable9.tab')