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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationFri, 16 Nov 2007 10:20:44 -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/Nov/16/t1195233351dhjiagcflxk9e2l.htm/, Retrieved Sun, 05 May 2024 22:00:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5504, Retrieved Sun, 05 May 2024 22:00:25 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact320
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Paper 23] [2007-11-16 17:20:44] [640491d00f3c9cca22cbf779aa38ac16] [Current]
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Dataseries X:
99,20
98,10
96,10
95,50
95,70
95,90
96,20
95,70
93,40
93,40
91,90
92,80
93,20
93,80
93,80
85,10
86,10
86,50
90,00
89,10
88,40
91,40
88,00
87,80
87,40
86,20
87,80
84,60
85,00
85,70
83,90
83,60
82,60
84,90
84,20
83,80
84,20
84,40
86,00
89,70
93,90
98,40
98,30
99,30
100,50
96,90
97,50
97,50
98,90
99,30
100,60
99,90
98,80
98,60
98,20
96,30
103,40
102,70
102,70
102,60
101,60
100,90
101,10
105,60
104,70
103,80
105,40
105,60
109,20
109,50
110,10
110,00
110,30
109,30
110,20
113,00
113,60
111,20
111,30
115,00
Dataseries Y:
100.70
97.90
96.50
96.60
96.60
95.50
91.80
89.30
87.00
85.90
88.00
87.90
89.20
90.90
91.60
90.20
89.10
87.50
86.30
86.00
84.40
86.10
91.00
92.70
88.00
84.30
82.20
80.80
79.40
80.20
82.20
82.20
81.20
82.10
88.10
88.50
92.10
98.60
100.90
100.60
101.10
102.10
103.60
102.80
108.30
104.00
106.10
106.30
109.00
111.00
113.70
112.70
110.30
114.50
119.30
121.80
125.40
129.70
129.40
134.50
141.20
141.40
152.20
167.70
173.30
168.70
172.60
169.80
172.00
179.40
174.60
172.50
172.60
176.30
178.90
179.60
179.90
180.30
180.90
177.70




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-226.730496
Beta3.5442540.19242418.418977 H0: beta = 0
Elasticity2.9614850.16078412.199470 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-226.730496 & & & \tabularnewline Beta3.5442540.19242418.418977 H0: beta = 0 \tabularnewline Elasticity2.9614850.16078412.199470 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5504&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]
-226.730496[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]3.544254[/C]0.192424[/C]18.418977[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]2.961485[/C]0.160784[/C]12.199470[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5504&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5504&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
Constant-226.730496
Beta3.5442540.19242418.418977 H0: beta = 0
Elasticity2.9614850.16078412.199470 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000076758.50376276758.503762
Residual78.00000017647.780113226.253591
Total79.00000094406.2838751195.016252
F-TEST339.258720

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000076758.50376276758.503762 \tabularnewline Residual78.00000017647.780113226.253591 \tabularnewline Total79.00000094406.2838751195.016252 \tabularnewline F-TEST339.258720 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5504&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]76758.503762[/C]76758.503762[/C][/ROW] [ROW][C]Residual[/C]78.000000[/C]17647.780113[/C]226.253591[/C][/ROW] [ROW][C]Total[/C]79.000000[/C]94406.283875[/C]1195.016252[/C][/ROW] [ROW][C]F-TEST[/C]339.258720[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5504&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5504&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
Regression1.00000076758.50376276758.503762
Residual78.00000017647.780113226.253591
Total79.00000094406.2838751195.016252
F-TEST339.258720







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.253603
Von Neumann Ratio0.256813
rho - Least Squares0.856863
rho - Maximum Likelihood0.885671
rho - Serial Correlation0.867219
rho - Goldberger0.871148

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.253603 \tabularnewline Von Neumann Ratio0.256813 \tabularnewline rho - Least Squares0.856863 \tabularnewline rho - Maximum Likelihood0.885671 \tabularnewline rho - Serial Correlation0.867219 \tabularnewline rho - Goldberger0.871148 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5504&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.253603[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.256813[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.856863[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.885671[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.867219[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.871148[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5504&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5504&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-Watson0.253603
Von Neumann Ratio0.256813
rho - Least Squares0.856863
rho - Maximum Likelihood0.885671
rho - Serial Correlation0.867219
rho - Goldberger0.871148







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X96.585000
Biased Variance X76.381275
Biased S.E. X8.739638
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F959.481297
Biased S.E. F30.975495
Mean e0.000000
Biased Variance e220.597251
Biased S.E. e1.681716

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
96.585000 \tabularnewline Biased Variance X76.381275 \tabularnewline Biased S.E. X8.739638 \tabularnewline Mean Y115.591250 \tabularnewline Biased Variance Y1180.078548 \tabularnewline Biased S.E. Y34.352271 \tabularnewline Mean F115.591250 \tabularnewline Biased Variance F959.481297 \tabularnewline Biased S.E. F30.975495 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e220.597251 \tabularnewline Biased S.E. e1.681716 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5504&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]
96.585000[/C][/ROW] [ROW][C]Biased Variance X[/C]76.381275[/C][/ROW] [ROW][C]Biased S.E. X[/C]8.739638[/C][/ROW] [ROW][C]Mean Y[/C]115.591250[/C][/ROW] [ROW][C]Biased Variance Y[/C]1180.078548[/C][/ROW] [ROW][C]Biased S.E. Y[/C]34.352271[/C][/ROW] [ROW][C]Mean F[/C]115.591250[/C][/ROW] [ROW][C]Biased Variance F[/C]959.481297[/C][/ROW] [ROW][C]Biased S.E. F[/C]30.975495[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]220.597251[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.681716[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5504&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5504&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 X96.585000
Biased Variance X76.381275
Biased S.E. X8.739638
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F959.481297
Biased S.E. F30.975495
Mean e0.000000
Biased Variance e220.597251
Biased S.E. e1.681716



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