Free Statistics

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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 05:56:32 -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/t1195217709v6zck7xz92a4cak.htm/, Retrieved Mon, 06 May 2024 03:37:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5488, Retrieved Mon, 06 May 2024 03:37:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPreston
Estimated Impact266
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Pollen Count] [2007-11-16 12:56:32] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
76
43
114
73
140
138
153
264
203
19
207
903
1058
981
1832
2058
1387
1188
1162
924
1030
82
1514
724
102
110
320
359
164
65
69
30
181
95
300
91
63
91
166
80
153
71
63
13
Dataseries Y:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant25.547808
Beta-0.0059970.003675-1.631861 H0: beta = 0
Elasticity-0.1118730.068555-16.218591 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
25.547808 & & & \tabularnewline Beta-0.0059970.003675-1.631861 H0: beta = 0 \tabularnewline Elasticity-0.1118730.068555-16.218591 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5488&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]
25.547808[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-0.005997[/C]0.003675[/C]-1.631861[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-0.111873[/C]0.068555[/C]-16.218591[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5488&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
Constant25.547808
Beta-0.0059970.003675-1.631861 H0: beta = 0
Elasticity-0.1118730.068555-16.218591 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000452.482519452.482519
Residual42.0000007136.494754169.916542
Total43.0000007588.977273176.487844
F-TEST2.662969

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.000000452.482519452.482519 \tabularnewline Residual42.0000007136.494754169.916542 \tabularnewline Total43.0000007588.977273176.487844 \tabularnewline F-TEST2.662969 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5488&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]452.482519[/C]452.482519[/C][/ROW] [ROW][C]Residual[/C]42.000000[/C]7136.494754[/C]169.916542[/C][/ROW] [ROW][C]Total[/C]43.000000[/C]7588.977273[/C]176.487844[/C][/ROW] [ROW][C]F-TEST[/C]2.662969[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5488&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
Regression1.000000452.482519452.482519
Residual42.0000007136.494754169.916542
Total43.0000007588.977273176.487844
F-TEST2.662969







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.035989
Von Neumann Ratio0.036826
rho - Least Squares0.966260
rho - Maximum Likelihood0.995589
rho - Serial Correlation0.935886
rho - Goldberger0.980815

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.035989 \tabularnewline Von Neumann Ratio0.036826 \tabularnewline rho - Least Squares0.966260 \tabularnewline rho - Maximum Likelihood0.995589 \tabularnewline rho - Serial Correlation0.935886 \tabularnewline rho - Goldberger0.980815 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5488&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.035989[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.036826[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.966260[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.995589[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.935886[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.980815[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5488&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5488&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-Watson0.035989
Von Neumann Ratio0.036826
rho - Least Squares0.966260
rho - Maximum Likelihood0.995589
rho - Serial Correlation0.935886
rho - Goldberger0.980815







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X428.613636
Biased Variance X285913.009814
Biased S.E. X534.708341
Mean Y22.977273
Biased Variance Y172.476756
Biased S.E. Y13.133041
Mean F22.977273
Biased Variance F10.283694
Biased S.E. F3.206820
Mean e0.000000
Biased Variance e162.193063
Biased S.E. e1.965131

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
428.613636 \tabularnewline Biased Variance X285913.009814 \tabularnewline Biased S.E. X534.708341 \tabularnewline Mean Y22.977273 \tabularnewline Biased Variance Y172.476756 \tabularnewline Biased S.E. Y13.133041 \tabularnewline Mean F22.977273 \tabularnewline Biased Variance F10.283694 \tabularnewline Biased S.E. F3.206820 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e162.193063 \tabularnewline Biased S.E. e1.965131 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5488&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]
428.613636[/C][/ROW] [ROW][C]Biased Variance X[/C]285913.009814[/C][/ROW] [ROW][C]Biased S.E. X[/C]534.708341[/C][/ROW] [ROW][C]Mean Y[/C]22.977273[/C][/ROW] [ROW][C]Biased Variance Y[/C]172.476756[/C][/ROW] [ROW][C]Biased S.E. Y[/C]13.133041[/C][/ROW] [ROW][C]Mean F[/C]22.977273[/C][/ROW] [ROW][C]Biased Variance F[/C]10.283694[/C][/ROW] [ROW][C]Biased S.E. F[/C]3.206820[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]162.193063[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.965131[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5488&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5488&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 X428.613636
Biased Variance X285913.009814
Biased S.E. X534.708341
Mean Y22.977273
Biased Variance Y172.476756
Biased S.E. Y13.133041
Mean F22.977273
Biased Variance F10.283694
Biased S.E. F3.206820
Mean e0.000000
Biased Variance e162.193063
Biased S.E. e1.965131



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