Free Statistics

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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSun, 02 Dec 2007 03:54:57 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/02/t11965927692qpd2gyxrfohktk.htm/, Retrieved Sun, 28 Apr 2024 13:53:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2272, Retrieved Sun, 28 Apr 2024 13:53:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsSimple Linear Regression Software
Estimated Impact317
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Simple Linear Reg...] [2007-12-02 10:54:57] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-  M D    [Simple Regression] [workshop 6 linear...] [2010-11-15 21:18:36] [4eaa304e6a28c475ba490fccf4c01ad3]
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Dataseries X:
115,9
112,9
126,3
116,8
112
129,7
113,6
115,7
119,5
125,8
129,6
128
112,8
101,6
123,9
118,8
109,1
130,6
112,4
111
116,2
119,8
117,2
127,3
107,7
97,5
120,1
110,6
111,3
119,8
105,5
108,7
128,7
119,5
121,1
128,4
108,8
107,5
125,6
102,9
107,5
120,4
104,3
100,6
121,9
112,7
124,9
123,9
102,2
104,9
109,8
98,9
107,3
112,6
104
110,6
100,8
103,8
117
108,4
95,5
96,9
103,9
101,1
100,6
104,3
98
99,5
97,4
105,6
117,5
107,4
97,8
91,5
107,7
100,1
96,6
106,8
98
98,6
Dataseries Y:
100,6
96,1
110
108,2
106,9
117,2
105,2
106,3
95,9
107,5
113
111,4
95,5
90,3
110,8
107,1
101,4
112,9
98,5
100,1
93,4
104,4
101,8
107,9
91,3
86,6
111,4
98,4
102,2
103
95,8
96
95,7
106,4
112
116,2
93,9
100,5
112,5
101,2
107,8
114,3
99,6
98,6
93,6
99,6
113,1
110,7
88,1
93,1
107,4
99,5
105,6
108,3
99,2
99,3
107,1
106,9
115,4
99
100,1
96,2
96,9
96,2
91
99
99
107,2
110,8
111,1
104,6
94,3
90,7
88,8
90,9
90,5
95,5
103,1
100,6
103,1




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant51.687372
Beta0.4528270.0675386.704811 H0: beta = 0
Elasticity0.4933420.073580-6.885790 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
51.687372 & & & \tabularnewline Beta0.4528270.0675386.704811 H0: beta = 0 \tabularnewline Elasticity0.4933420.073580-6.885790 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2272&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]
51.687372[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.452827[/C]0.067538[/C]6.704811[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.493342[/C]0.073580[/C]-6.885790[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2272&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2272&T=0

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant51.687372
Beta0.4528270.0675386.704811 H0: beta = 0
Elasticity0.4933420.073580-6.885790 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001639.7237991639.723799
Residual78.0000002845.06507636.475193
Total79.0000004484.78887556.769479
F-TEST44.954492

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001639.7237991639.723799 \tabularnewline Residual78.0000002845.06507636.475193 \tabularnewline Total79.0000004484.78887556.769479 \tabularnewline F-TEST44.954492 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2272&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]1639.723799[/C]1639.723799[/C][/ROW] [ROW][C]Residual[/C]78.000000[/C]2845.065076[/C]36.475193[/C][/ROW] [ROW][C]Total[/C]79.000000[/C]4484.788875[/C]56.769479[/C][/ROW] [ROW][C]F-TEST[/C]44.954492[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2272&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2272&T=1

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001639.7237991639.723799
Residual78.0000002845.06507636.475193
Total79.0000004484.78887556.769479
F-TEST44.954492







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.183452
Von Neumann Ratio1.198432
rho - Least Squares0.404499
rho - Maximum Likelihood0.399785
rho - Serial Correlation0.403032
rho - Goldberger0.402135

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.183452 \tabularnewline Von Neumann Ratio1.198432 \tabularnewline rho - Least Squares0.404499 \tabularnewline rho - Maximum Likelihood0.399785 \tabularnewline rho - Serial Correlation0.403032 \tabularnewline rho - Goldberger0.402135 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2272&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.183452[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.198432[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.404499[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.399785[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.403032[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.402135[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2272&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2272&T=2

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.183452
Von Neumann Ratio1.198432
rho - Least Squares0.404499
rho - Maximum Likelihood0.399785
rho - Serial Correlation0.403032
rho - Goldberger0.402135







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X111.143750
Biased Variance X99.957711
Biased S.E. X9.997885
Mean Y102.016250
Biased Variance Y56.059861
Biased S.E. Y7.487313
Mean F102.016250
Biased Variance F20.496547
Biased S.E. F4.527311
Mean e0.000000
Biased Variance e35.563313
Biased S.E. e0.675233

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
111.143750 \tabularnewline Biased Variance X99.957711 \tabularnewline Biased S.E. X9.997885 \tabularnewline Mean Y102.016250 \tabularnewline Biased Variance Y56.059861 \tabularnewline Biased S.E. Y7.487313 \tabularnewline Mean F102.016250 \tabularnewline Biased Variance F20.496547 \tabularnewline Biased S.E. F4.527311 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e35.563313 \tabularnewline Biased S.E. e0.675233 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2272&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]
111.143750[/C][/ROW] [ROW][C]Biased Variance X[/C]99.957711[/C][/ROW] [ROW][C]Biased S.E. X[/C]9.997885[/C][/ROW] [ROW][C]Mean Y[/C]102.016250[/C][/ROW] [ROW][C]Biased Variance Y[/C]56.059861[/C][/ROW] [ROW][C]Biased S.E. Y[/C]7.487313[/C][/ROW] [ROW][C]Mean F[/C]102.016250[/C][/ROW] [ROW][C]Biased Variance F[/C]20.496547[/C][/ROW] [ROW][C]Biased S.E. F[/C]4.527311[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]35.563313[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.675233[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2272&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2272&T=3

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X111.143750
Biased Variance X99.957711
Biased S.E. X9.997885
Mean Y102.016250
Biased Variance Y56.059861
Biased S.E. Y7.487313
Mean F102.016250
Biased Variance F20.496547
Biased S.E. F4.527311
Mean e0.000000
Biased Variance e35.563313
Biased S.E. e0.675233



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