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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationWed, 24 Nov 2010 16:24:35 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/24/t1290615853pruaj23jxc709am.htm/, Retrieved Sat, 27 Apr 2024 13:36:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100387, Retrieved Sat, 27 Apr 2024 13:36:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact171

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RM D  [Mean Plot] [] [2010-11-16 19:28:51] [b98453cac15ba1066b407e146608df68]
-   P     [Mean Plot] [seasonality] [2010-11-19 18:19:34] [9894f466352df31a128e82ec8d720241]
-    D      [Mean Plot] [seasonality 1] [2010-11-19 18:27:09] [9894f466352df31a128e82ec8d720241]
-             [Mean Plot] [] [2010-11-24 09:07:52] [4dfa50539945b119a90a7606969443b9]
- RMPD            [Simple Regression] [] [2010-11-24 16:24:35] [b91d9cfbf8712a09013bf3c2e3081c55] [Current]
-    D              [Simple Regression] [] [2010-11-25 18:42:58] [234dae34fc2a42f724a2786a39cb083b]
-    D              [Simple Regression] [] [2010-11-25 21:03:13] [afd301b68d203992295e6972aed62880]
-   PD              [Simple Regression] [Paper - Linear re...] [2010-11-30 22:17:43] [8677c3f87cec9201607d40be65aa9670]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
83,5
82,68
82,4
82,782566
81,384
79,67
80,43
82,83
84,11
82
81,95
77,35
83
81,8
82,2
83,98
85,81
82,36
82,3
77,238835
81,9
82,035
82,66
79,6
81,75
78,2
81,415
84,1
82,94
84,04
74
81,345
80,7
43,452
79,574
73,412
43,958
78,868
77,28
64,576
75,5
57,354
67,04
67,358
77,28
50,036
75,84
76,3
53,46
50,492
61,402
50,732
45,822
51,988
76,38
56,118
47,46
81,104
48,998
79,37
80,138
75,2
77,856
73,312
74,684
52,356
59,768
78,14
70,892
57,212
60,134
74,686
60,138
73,516
57,154
47,778
62,204
73,472
85,5
72,278
61,024
72
54,55
69,158
72,1
65,264
76,5
73,988
42,94
46,2
76,63
77,06
76,434
60,796
47,886
76,452
56,066
80,7
65,586
75,91
72,274
43
64,876
52,984
63,716
75,58
55,508
47,328
77,142
78,064
60,274
73,714
73,648
82,56
75,8
73,23
47,262
64,822
75,88
43,87
82,6
48,934
52,5
59,622
75,838
81,4
69,204
53,002
74,774
60,004
71,62
76
67,372
51,432
74,06
81,258
79,52
76,41
63,848
41,86
42,062
Dataseries Y:
Download CSV
Histogram 
1,817
1,4
1,7324337
1,59
1,9552
1,33
1,83
1,84
1,98
1,32
1,39
1,34
2,08
1,9
2,88
1,35
1,32
1,13
1,65
2,171569
1,7
2
1,9
1,27
1,35
1,24
1,31
1,38
1,85
1,43
2,18
1,84
2,1
7,151
1,78
2,4116
5,8
2,2732
2,3348
2,9056
1,287
5,5052
2,3368
3,5916
1,18
2,9528
2,265
1,37
6,0754
6,8
3,2674
4,4346
4,654
6,2644
2,425
4,5502
6,3
2,1354
4,5832
1,38
1,518
2,4
2,6258
2,9476
2,723
5,414
5,1436
1,55
2,7976
3,1232
4,7934
1,4212
3,9466
4,2416
5,5176
7,0752
3,8
3,3053333
0,966
2,0568
4,3828
2,36
4,9672
1,8634
2,7
3,2878
1,35
2,231
3,457
5,2
2,7852
1,31
1,453
4,8764
5,6808
2,6524
6,5538
1,41
4,4626
1,7
1,7
5,1942
2,1034
3,6
3,1
2,804
7,02575
5,4266
3,1396
2,5888
3,8918
2,553
3,2952
1,7728
1,31
1,3
5,9356
5,1885714
1,43
6,4768
1,28
6,1208
2,73
4,3464
3,1606
1,115
3,4402
5,2576
1,845
4,9142
1,63
2,03
2,5502
6,685
1,2
2,347
2,03
2,62
5,6052
5,2704
3,7274286

Tables (Output of Computation)





Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant10.904544
Beta-0.1136720.005735-19.819798 H0: beta = 0
Elasticity-2.6146680.131922-27.400032 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

Parameter & Value & S.E. & T-STAT & Notes \tabularnewline

Constant
10.904544 & & & \tabularnewline Beta-0.1136720.005735-19.819798 H0: beta = 0 \tabularnewline Elasticity-2.6146680.131922-27.400032 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=100387&T=0

[TABLE]

[ROW][C]Simple Linear Regression - Ungrouped Data[/C][/ROW]

[ROW][C]Parameter[/C][C]Value[/C][C]S.E.[/C][C]T-STAT[/C][C]Notes[/C][/ROW]

[ROW][C]Constant[/C]
10.904544[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-0.113672[/C]0.005735[/C]-19.819798[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-2.614668[/C]0.131922[/C]-27.400032[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=100387&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100387&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant10.904544
Beta-0.1136720.005735-19.819798 H0: beta = 0
Elasticity-2.6146680.131922-27.400032 H0: elast. = 1






Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000293.221152293.221152
Residual139.000000103.7556210.746443
Total140.000000396.9767732.835548
F-TEST392.824404

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

ANOVA & DF & Sum of Squares & Mean Square \tabularnewline

Regression
1.000000293.221152293.221152 \tabularnewline Residual139.000000103.7556210.746443 \tabularnewline Total140.000000396.9767732.835548 \tabularnewline F-TEST392.824404 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=100387&T=1

[TABLE]

[ROW][C]Simple Linear Regression - Analysis of Variance[/C][/ROW]

[ROW][C]ANOVA[/C][C]DF[/C][C]Sum of Squares[/C][C]Mean Square[/C][/ROW]

[ROW][C]Regression[/C]
1.000000[/C]293.221152[/C]293.221152[/C][/ROW] [ROW][C]Residual[/C]139.000000[/C]103.755621[/C]0.746443[/C][/ROW] [ROW][C]Total[/C]140.000000[/C]396.976773[/C]2.835548[/C][/ROW] [ROW][C]F-TEST[/C]392.824404[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=100387&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100387&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000293.221152293.221152
Residual139.000000103.7556210.746443
Total140.000000396.9767732.835548
F-TEST392.824404






Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.885450
Von Neumann Ratio1.898917
rho - Least Squares0.030515
rho - Maximum Likelihood0.028872
rho - Serial Correlation0.029033
rho - Goldberger0.029682

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.885450 \tabularnewline Von Neumann Ratio1.898917 \tabularnewline rho - Least Squares0.030515 \tabularnewline rho - Maximum Likelihood0.028872 \tabularnewline rho - Serial Correlation0.029033 \tabularnewline rho - Goldberger0.029682 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=100387&T=2

[TABLE]

[ROW][C]Simple Linear Regression - Autocorrelation[/C][/ROW]

[ROW][C]Statistic[/C][C]Value[/C][/ROW]

[ROW][C]Durbin-Watson[/C]
1.885450[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.898917[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.030515[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.028872[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.029033[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.029682[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=100387&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100387&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.885450
Von Neumann Ratio1.898917
rho - Least Squares0.030515
rho - Maximum Likelihood0.028872
rho - Serial Correlation0.029033
rho - Goldberger0.029682






Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X69.390982
Biased Variance X160.942564
Biased S.E. X12.686314
Mean Y3.016748
Biased Variance Y2.815438
Biased S.E. Y1.677927
Mean F3.016748
Biased Variance F2.079583
Biased S.E. F1.442076
Mean e0.000000
Biased Variance e0.735855
Biased S.E. e0.072759

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
69.390982 \tabularnewline Biased Variance X160.942564 \tabularnewline Biased S.E. X12.686314 \tabularnewline Mean Y3.016748 \tabularnewline Biased Variance Y2.815438 \tabularnewline Biased S.E. Y1.677927 \tabularnewline Mean F3.016748 \tabularnewline Biased Variance F2.079583 \tabularnewline Biased S.E. F1.442076 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.735855 \tabularnewline Biased S.E. e0.072759 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=100387&T=3

[TABLE]

[ROW][C]Simple Linear Regression - Descriptive Statistics[/C][/ROW]

[ROW][C]Statistic[/C][C]Value[/C][/ROW]

[ROW][C]Mean X[/C]
69.390982[/C][/ROW] [ROW][C]Biased Variance X[/C]160.942564[/C][/ROW] [ROW][C]Biased S.E. X[/C]12.686314[/C][/ROW] [ROW][C]Mean Y[/C]3.016748[/C][/ROW] [ROW][C]Biased Variance Y[/C]2.815438[/C][/ROW] [ROW][C]Biased S.E. Y[/C]1.677927[/C][/ROW] [ROW][C]Mean F[/C]3.016748[/C][/ROW] [ROW][C]Biased Variance F[/C]2.079583[/C][/ROW] [ROW][C]Biased S.E. F[/C]1.442076[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.735855[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.072759[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=100387&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100387&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X69.390982
Biased Variance X160.942564
Biased S.E. X12.686314
Mean Y3.016748
Biased Variance Y2.815438
Biased S.E. Y1.677927
Mean F3.016748
Biased Variance F2.079583
Biased S.E. F1.442076
Mean e0.000000
Biased Variance e0.735855
Biased S.E. e0.072759


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):