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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSun, 16 Mar 2008 09:16:35 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Mar/16/t1205681463xgrmonfcttkbvy5.htm/, Retrieved Sun, 19 May 2024 03:20:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10076, Retrieved Sun, 19 May 2024 03:20:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact326

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [dxd 2 v. dia 2] [2008-03-16 15:16:35] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
120.02
121.51
121.4
122.06
117.98
118.93
120.8
122.87
122.4
122.5
123.01
125.84
126.83
126.81
125.57
123.8
123.2
124.09
123.68
123.33
124.01
125.26
123.77
122.32
121.75
122.73
122.26
122.96
126.03
127.43
126
123.78
124.54
123.53
122.19
123.43
122.7
119.22
120.57
121.77
124.65
125.3
127.51
126.19
127.82
126.96
125.85
128.06
128.17
130.74
130.63
132.55
133.41
133.68
135.42
135.31
134.34
132.71
132.27
132.55
131.93
133.45
135
135
134.4
137.4
136.39
136.08
134.45
132.43
133.31
134.16
133.17
132.83
129.32
127.46
129.42
127.79
130.33
129.6
131.44
131.47
132.71
133.14
129.77
130.31
132.45
133.35
136.51
135.21
136.05
135.85
138.95
137.82
138.65
137.95
136.9
136.5
136.42
Dataseries Y:
Download CSV
Histogram 
59.97
58.7
58.85
58.01
62.46
61.18
59.75
57.78
58.09
57.82
57.65
55.03
54.1
54.1
55.24
56.7
57.25
56.26
56.85
57.08
56.92
55.69
56.85
58.21
58.71
58
58.45
57.9
54.98
53.7
54.9
56.99
56.2
57.09
58.64
57.2
58.14
61.45
60.21
59.31
56.5
55.65
53.98
55.01
54
54.4
55.3
53.39
53.65
51.48
51.35
50.18
49.38
49.34
48.15
47.88
48.75
50.07
50.56
50.38
50.59
49.39
48.25
48.28
48.6
46.72
47.45
47.61
48.84
50.18
49.4
49.29
49.55
50.16
52.7
54.35
52.76
54.03
51.96
52.43
51.02
51.24
50.23
50.16
52.45
51.81
50.38
49.86
47.71
48.5
47.86
48.03
46.22
46.77
46.19
46.64
47.38
47.6
47.89

Tables (Output of Computation)





Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant151.611289
Beta-0.7641610.005856-130.490038 H0: beta = 0
Elasticity-1.8468690.014153-201.144782 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
151.611289 & & & \tabularnewline Beta-0.7641610.005856-130.490038 H0: beta = 0 \tabularnewline Elasticity-1.8468690.014153-201.144782 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10076&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]
151.611289[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-0.764161[/C]0.005856[/C]-130.490038[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-1.846869[/C]0.014153[/C]-201.144782[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10076&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10076&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
Constant151.611289
Beta-0.7641610.005856-130.490038 H0: beta = 0
Elasticity-1.8468690.014153-201.144782 H0: elast. = 1






Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001790.1112761790.111276
Residual97.00000010.1975780.105130
Total98.0000001800.30885518.370499
F-TEST17027.649917

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001790.1112761790.111276 \tabularnewline Residual97.00000010.1975780.105130 \tabularnewline Total98.0000001800.30885518.370499 \tabularnewline F-TEST17027.649917 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10076&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]1790.111276[/C]1790.111276[/C][/ROW] [ROW][C]Residual[/C]97.000000[/C]10.197578[/C]0.105130[/C][/ROW] [ROW][C]Total[/C]98.000000[/C]1800.308855[/C]18.370499[/C][/ROW] [ROW][C]F-TEST[/C]17027.649917[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10076&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10076&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
Regression1.0000001790.1112761790.111276
Residual97.00000010.1975780.105130
Total98.0000001800.30885518.370499
F-TEST17027.649917






Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.800500
Von Neumann Ratio0.808668
rho - Least Squares0.602256
rho - Maximum Likelihood0.586250
rho - Serial Correlation0.591919
rho - Goldberger0.594199

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.800500 \tabularnewline Von Neumann Ratio0.808668 \tabularnewline rho - Least Squares0.602256 \tabularnewline rho - Maximum Likelihood0.586250 \tabularnewline rho - Serial Correlation0.591919 \tabularnewline rho - Goldberger0.594199 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10076&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.800500[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.808668[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.602256[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.586250[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.591919[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.594199[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10076&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10076&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-Watson0.800500
Von Neumann Ratio0.808668
rho - Least Squares0.602256
rho - Maximum Likelihood0.586250
rho - Serial Correlation0.591919
rho - Goldberger0.594199






Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X128.710808
Biased Variance X30.965252
Biased S.E. X5.564643
Mean Y53.255455
Biased Variance Y18.184938
Biased S.E. Y4.264380
Mean F53.255455
Biased Variance F18.081932
Biased S.E. F4.252286
Mean e0.000000
Biased Variance e0.103006
Biased S.E. e0.032587

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
128.710808 \tabularnewline Biased Variance X30.965252 \tabularnewline Biased S.E. X5.564643 \tabularnewline Mean Y53.255455 \tabularnewline Biased Variance Y18.184938 \tabularnewline Biased S.E. Y4.264380 \tabularnewline Mean F53.255455 \tabularnewline Biased Variance F18.081932 \tabularnewline Biased S.E. F4.252286 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.103006 \tabularnewline Biased S.E. e0.032587 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10076&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]
128.710808[/C][/ROW] [ROW][C]Biased Variance X[/C]30.965252[/C][/ROW] [ROW][C]Biased S.E. X[/C]5.564643[/C][/ROW] [ROW][C]Mean Y[/C]53.255455[/C][/ROW] [ROW][C]Biased Variance Y[/C]18.184938[/C][/ROW] [ROW][C]Biased S.E. Y[/C]4.264380[/C][/ROW] [ROW][C]Mean F[/C]53.255455[/C][/ROW] [ROW][C]Biased Variance F[/C]18.081932[/C][/ROW] [ROW][C]Biased S.E. F[/C]4.252286[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.103006[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.032587[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10076&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10076&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 X128.710808
Biased Variance X30.965252
Biased S.E. X5.564643
Mean Y53.255455
Biased Variance Y18.184938
Biased S.E. Y4.264380
Mean F53.255455
Biased Variance F18.081932
Biased S.E. F4.252286
Mean e0.000000
Biased Variance e0.103006
Biased S.E. e0.032587


Figures (Output of Computation)

Input Parameters & R Code

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