Free Statistics

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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 22 Nov 2007 05:08:45 -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/22/t1195732909fqisk0kgh1c61fq.htm/, Retrieved Thu, 02 May 2024 23:29:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5938, Retrieved Thu, 02 May 2024 23:29:12 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Simple Regression] [Paper 22] [2007-11-16 17:13:57] [45fce9f63ffa215d6caf2915e04cde9f]
-    D    [Simple Regression] [Paper 22] [2007-11-22 12:08:45] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
100.80
100.80
100.80
90.10
95.70
88.60
93.30
93.30
93.30
93.30
93.30
93.30
88.60
97.40
97.40
102.90
102.90
102.90
105.10
105.10
105.10
105.10
105.10
105.10
96.90
96.90
96.90
96.90
96.90
96.90
96.50
96.50
96.50
96.00
96.00
96.00
96.00
96.00
96.00
105.80
105.80
105.80
105.80
105.80
105.80
105.80
105.80
105.80
123.60
142.20
142.20
141.20
141.20
141.20
124.70
124.70
124.70
122.70
122.70
122.70
123.30
123.30
123.30
127.20
127.20
127.20
140.00
140.00
140.00
140.00
140.00
140.00
139.00
139.00
139.00
147.00
147.00
147.00
147.10
147.10
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-63.671787
Beta1.5801240.10205815.482657 H0: beta = 0
Elasticity1.5508360.1001665.499229 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-63.671787 & & & \tabularnewline Beta1.5801240.10205815.482657 H0: beta = 0 \tabularnewline Elasticity1.5508360.1001665.499229 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5938&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]
-63.671787[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]1.580124[/C]0.102058[/C]15.482657[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.550836[/C]0.100166[/C]5.499229[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5938&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5938&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-63.671787
Beta1.5801240.10205815.482657 H0: beta = 0
Elasticity1.5508360.1001665.499229 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000071229.08271871229.082718
Residual78.00000023177.201157297.143605
Total79.00000094406.2838751195.016252
F-TEST239.712656

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000071229.08271871229.082718 \tabularnewline Residual78.00000023177.201157297.143605 \tabularnewline Total79.00000094406.2838751195.016252 \tabularnewline F-TEST239.712656 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5938&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]71229.082718[/C]71229.082718[/C][/ROW] [ROW][C]Residual[/C]78.000000[/C]23177.201157[/C]297.143605[/C][/ROW] [ROW][C]Total[/C]79.000000[/C]94406.283875[/C]1195.016252[/C][/ROW] [ROW][C]F-TEST[/C]239.712656[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5938&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5938&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
Regression1.00000071229.08271871229.082718
Residual78.00000023177.201157297.143605
Total79.00000094406.2838751195.016252
F-TEST239.712656







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.207973
Von Neumann Ratio0.210606
rho - Least Squares0.896820
rho - Maximum Likelihood0.894733
rho - Serial Correlation0.905044
rho - Goldberger0.895776

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.207973 \tabularnewline Von Neumann Ratio0.210606 \tabularnewline rho - Least Squares0.896820 \tabularnewline rho - Maximum Likelihood0.894733 \tabularnewline rho - Serial Correlation0.905044 \tabularnewline rho - Goldberger0.895776 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5938&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.207973[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.210606[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.896820[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.894733[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.905044[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.895776[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5938&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5938&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-Watson0.207973
Von Neumann Ratio0.210606
rho - Least Squares0.896820
rho - Maximum Likelihood0.894733
rho - Serial Correlation0.905044
rho - Goldberger0.895776







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X113.448750
Biased Variance X356.603248
Biased S.E. X18.883942
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F890.363534
Biased S.E. F29.838960
Mean e0.000000
Biased Variance e289.715014
Biased S.E. e1.927251

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
113.448750 \tabularnewline Biased Variance X356.603248 \tabularnewline Biased S.E. X18.883942 \tabularnewline Mean Y115.591250 \tabularnewline Biased Variance Y1180.078548 \tabularnewline Biased S.E. Y34.352271 \tabularnewline Mean F115.591250 \tabularnewline Biased Variance F890.363534 \tabularnewline Biased S.E. F29.838960 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e289.715014 \tabularnewline Biased S.E. e1.927251 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5938&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]
113.448750[/C][/ROW] [ROW][C]Biased Variance X[/C]356.603248[/C][/ROW] [ROW][C]Biased S.E. X[/C]18.883942[/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]890.363534[/C][/ROW] [ROW][C]Biased S.E. F[/C]29.838960[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]289.715014[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.927251[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5938&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5938&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 X113.448750
Biased Variance X356.603248
Biased S.E. X18.883942
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F890.363534
Biased S.E. F29.838960
Mean e0.000000
Biased Variance e289.715014
Biased S.E. e1.927251



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