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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationWed, 28 Jan 2009 07:39:19 -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/2009/Jan/28/t12331547617cbxdcgoq2lva8l.htm/, Retrieved Sun, 28 Apr 2024 23:52:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36995, Retrieved Sun, 28 Apr 2024 23:52:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact243
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [1942-1989] [2009-01-28 14:39:19] [52ebc51e34f149e6a901af1a99d480ef] [Current]
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Dataseries X:
288460
289390
301510
316970
364390
387390
430180
499930
595010
661870
738820
816500
834900
875910
974720
1039710
1004210
1029580
1085550
1208030
1344520
1361820
1322390
1258090
1273280
1328800
1489169
1483999
1566220
1646040
1820130
1911770
1932270
1926020
1857670
1798790
1688540
1634770
1531044
1426044
1425486
1439480
1423677
1383676
1360088
1390745
1418043
1408337
Dataseries Y:
61.1
61.7
54.3
51.1
59.3
79.3
81.8
83.4
81.6
78.6
86.1
88.2
90.6
90.3
94.6
96.3
91.4
90.4
89.1
88.6
81.4
76.7
73.1
70.5
70.3
67.5
65.6
65.5
68.3
64.5
61.7
59.3
57.5
55.6
52.8
52.8
51.5
52.3
53
52.2
52.4
51.4
50.6
51
50.2
50.6
53
87.3




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant83.014449
Beta-0.0000120.000004-2.859058 H0: beta = 0
Elasticity-0.2088020.073032-16.551759 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
83.014449 & & & \tabularnewline Beta-0.0000120.000004-2.859058 H0: beta = 0 \tabularnewline Elasticity-0.2088020.073032-16.551759 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=36995&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]
83.014449[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-0.000012[/C]0.000004[/C]-2.859058[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-0.208802[/C]0.073032[/C]-16.551759[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=36995&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36995&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
Constant83.014449
Beta-0.0000120.000004-2.859058 H0: beta = 0
Elasticity-0.2088020.073032-16.551759 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001677.5807931677.580793
Residual46.0000009440.509207205.228461
Total47.00000011118.090000236.555106
F-TEST8.174211

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001677.5807931677.580793 \tabularnewline Residual46.0000009440.509207205.228461 \tabularnewline Total47.00000011118.090000236.555106 \tabularnewline F-TEST8.174211 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=36995&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]1677.580793[/C]1677.580793[/C][/ROW] [ROW][C]Residual[/C]46.000000[/C]9440.509207[/C]205.228461[/C][/ROW] [ROW][C]Total[/C]47.000000[/C]11118.090000[/C]236.555106[/C][/ROW] [ROW][C]F-TEST[/C]8.174211[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=36995&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36995&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
Regression1.0000001677.5807931677.580793
Residual46.0000009440.509207205.228461
Total47.00000011118.090000236.555106
F-TEST8.174211







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.216492
Von Neumann Ratio0.221098
rho - Least Squares0.892895
rho - Maximum Likelihood0.881146
rho - Serial Correlation0.867600
rho - Goldberger0.887001

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.216492 \tabularnewline Von Neumann Ratio0.221098 \tabularnewline rho - Least Squares0.892895 \tabularnewline rho - Maximum Likelihood0.881146 \tabularnewline rho - Serial Correlation0.867600 \tabularnewline rho - Goldberger0.887001 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=36995&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.216492[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.221098[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.892895[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.881146[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.867600[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.887001[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=36995&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36995&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-Watson0.216492
Von Neumann Ratio0.221098
rho - Least Squares0.892895
rho - Maximum Likelihood0.881146
rho - Serial Correlation0.867600
rho - Goldberger0.887001







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X1.179040e+6
Biased Variance X2.362842e+11
Biased S.E. X486090.716850
Mean Y68.675000
Biased Variance Y231.626875
Biased S.E. Y15.219293
Mean F68.675000
Biased Variance F34.949600
Biased S.E. F5.911819
Mean e0.000000
Biased Variance e196.677275
Biased S.E. e2.067751

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
1.179040e+6 \tabularnewline Biased Variance X2.362842e+11 \tabularnewline Biased S.E. X486090.716850 \tabularnewline Mean Y68.675000 \tabularnewline Biased Variance Y231.626875 \tabularnewline Biased S.E. Y15.219293 \tabularnewline Mean F68.675000 \tabularnewline Biased Variance F34.949600 \tabularnewline Biased S.E. F5.911819 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e196.677275 \tabularnewline Biased S.E. e2.067751 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=36995&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]
1.179040e+6[/C][/ROW] [ROW][C]Biased Variance X[/C]2.362842e+11[/C][/ROW] [ROW][C]Biased S.E. X[/C]486090.716850[/C][/ROW] [ROW][C]Mean Y[/C]68.675000[/C][/ROW] [ROW][C]Biased Variance Y[/C]231.626875[/C][/ROW] [ROW][C]Biased S.E. Y[/C]15.219293[/C][/ROW] [ROW][C]Mean F[/C]68.675000[/C][/ROW] [ROW][C]Biased Variance F[/C]34.949600[/C][/ROW] [ROW][C]Biased S.E. F[/C]5.911819[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]196.677275[/C][/ROW] [ROW][C]Biased S.E. e[/C]2.067751[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=36995&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36995&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 X1.179040e+6
Biased Variance X2.362842e+11
Biased S.E. X486090.716850
Mean Y68.675000
Biased Variance Y231.626875
Biased S.E. Y15.219293
Mean F68.675000
Biased Variance F34.949600
Biased S.E. F5.911819
Mean e0.000000
Biased Variance e196.677275
Biased S.E. e2.067751



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