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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 10:38:16 -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/t11952344312870vaywwdmof4o.htm/, Retrieved Mon, 06 May 2024 00:39:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5507, Retrieved Mon, 06 May 2024 00:39:09 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact286
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Paper 25] [2007-11-16 17:38:16] [640491d00f3c9cca22cbf779aa38ac16] [Current]
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Dataseries X:
99,80
103,50
103,10
105,60
105,70
106,60
107,00
105,20
105,70
105,00
105,10
105,90
105,30
104,90
103,20
103,40
104,40
104,50
105,90
110,60
112,40
111,80
111,00
111,00
109,10
107,80
107,20
108,40
107,50
106,40
106,20
104,90
106,20
107,60
107,00
104,50
105,10
104,70
103,70
104,90
105,90
106,10
106,10
106,80
106,40
107,80
107,60
107,60
108,40
109,50
109,20
109,10
110,00
109,00
109,00
111,90
109,30
112,10
112,10
112,50
113,60
112,90
114,00
116,10
116,50
117,10
117,10
117,10
116,50
116,50
116,30
116,50
119,20
118,60
117,50
117,10
117,60
118,30
118,60
116,70
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-574.990921
Beta6.3081270.36756217.162061 H0: beta = 0
Elasticity5.9743460.34811414.289435 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-574.990921 & & & \tabularnewline Beta6.3081270.36756217.162061 H0: beta = 0 \tabularnewline Elasticity5.9743460.34811414.289435 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5507&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]
-574.990921[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]6.308127[/C]0.367562[/C]17.162061[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]5.974346[/C]0.348114[/C]14.289435[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5507&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5507&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-574.990921
Beta6.3081270.36756217.162061 H0: beta = 0
Elasticity5.9743460.34811414.289435 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000074639.91567974639.915679
Residual78.00000019766.368196253.414977
Total79.00000094406.2838751195.016252
F-TEST294.536324

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000074639.91567974639.915679 \tabularnewline Residual78.00000019766.368196253.414977 \tabularnewline Total79.00000094406.2838751195.016252 \tabularnewline F-TEST294.536324 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5507&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]74639.915679[/C]74639.915679[/C][/ROW] [ROW][C]Residual[/C]78.000000[/C]19766.368196[/C]253.414977[/C][/ROW] [ROW][C]Total[/C]79.000000[/C]94406.283875[/C]1195.016252[/C][/ROW] [ROW][C]F-TEST[/C]294.536324[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5507&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5507&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
Regression1.00000074639.91567974639.915679
Residual78.00000019766.368196253.414977
Total79.00000094406.2838751195.016252
F-TEST294.536324







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.300416
Von Neumann Ratio0.304218
rho - Least Squares0.800091
rho - Maximum Likelihood0.884265
rho - Serial Correlation0.799015
rho - Goldberger0.841125

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.300416 \tabularnewline Von Neumann Ratio0.304218 \tabularnewline rho - Least Squares0.800091 \tabularnewline rho - Maximum Likelihood0.884265 \tabularnewline rho - Serial Correlation0.799015 \tabularnewline rho - Goldberger0.841125 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5507&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.300416[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.304218[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.800091[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.884265[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.799015[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.841125[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5507&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5507&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-Watson0.300416
Von Neumann Ratio0.304218
rho - Least Squares0.800091
rho - Maximum Likelihood0.884265
rho - Serial Correlation0.799015
rho - Goldberger0.841125







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X109.475000
Biased Variance X23.446625
Biased S.E. X4.842172
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F932.998946
Biased S.E. F30.545031
Mean e0.000000
Biased Variance e247.079602
Biased S.E. e1.779800

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
109.475000 \tabularnewline Biased Variance X23.446625 \tabularnewline Biased S.E. X4.842172 \tabularnewline Mean Y115.591250 \tabularnewline Biased Variance Y1180.078548 \tabularnewline Biased S.E. Y34.352271 \tabularnewline Mean F115.591250 \tabularnewline Biased Variance F932.998946 \tabularnewline Biased S.E. F30.545031 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e247.079602 \tabularnewline Biased S.E. e1.779800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5507&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]
109.475000[/C][/ROW] [ROW][C]Biased Variance X[/C]23.446625[/C][/ROW] [ROW][C]Biased S.E. X[/C]4.842172[/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]932.998946[/C][/ROW] [ROW][C]Biased S.E. F[/C]30.545031[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]247.079602[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.779800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5507&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5507&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 X109.475000
Biased Variance X23.446625
Biased S.E. X4.842172
Mean Y115.591250
Biased Variance Y1180.078548
Biased S.E. Y34.352271
Mean F115.591250
Biased Variance F932.998946
Biased S.E. F30.545031
Mean e0.000000
Biased Variance e247.079602
Biased S.E. e1.779800



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