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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 25 Nov 2010 18:42:58 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/25/t12907104773h51yhxd877t7ai.htm/, Retrieved Fri, 19 Apr 2024 12:59:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101345, Retrieved Fri, 19 Apr 2024 12:59:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RM D  [Mean Plot] [] [2010-11-16 19:28:51] [b98453cac15ba1066b407e146608df68]
-   P     [Mean Plot] [seasonality] [2010-11-19 18:19:34] [9894f466352df31a128e82ec8d720241]
-    D      [Mean Plot] [seasonality 1] [2010-11-19 18:27:09] [9894f466352df31a128e82ec8d720241]
-             [Mean Plot] [] [2010-11-24 09:07:52] [4dfa50539945b119a90a7606969443b9]
- RMPD          [Simple Regression] [] [2010-11-24 16:24:35] [4dfa50539945b119a90a7606969443b9]
-    D              [Simple Regression] [] [2010-11-25 18:42:58] [cf84dc108eae081aed36d3d050e63ee7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1,3898
1,3067
1,2894
1,277
1,2208
1,2565
1,3406
1,3569
1,3686
1,4272
1,4614
1,4914
1,4816
1,4562
1,4268
1,4088
1,4016
1,365
1,319
1,305
1,2785
1,3239
1,3449
1,2732
1,3322
1,4369
1,4975
1,577
1,5553
1,5557
1,575
1,5527
1,4748
1,4718
1,457
1,4684
1,4227
1,3896
1,3622
1,3716
1,3419
1,3511
1,3516
1,3242
1,3074
1,2999
1,3213
1,2881
1,2611
1,2727
1,2811
1,2684
1,265
1,277
1,2271
1,202
1,1938
1,2103
1,1856
1,1786
1,2015
1,2256
1,2292
1,2037
1,2165
1,2694
1,2938
1,3201
1,3014
1,3119
1,3408
1,2991
1,249
1,2218
1,2176
1,2266
1,2138
1,2007
1,1985
1,2262
1,2646
1,2613
1,2286
1,1702
1,1692
1,1222
1,1139
1,1372
1,1663
1,1582
1,0848
1,0807
1,0773
1,0622
1,0183
1,0014
0,9811
0,9808
0,9778
0,9922
0,9554
0,917
0,8858
0,8758
0,87
0,8833
0,8924
0,8883
0,9059
0,9111
0,9005
0,8607
0,8532
0,8742
0,892
0,9095
0,9217
0,9383
0,8973
0,8564
Dataseries Y:
Download CSV
Histogram 
31,077
31,293
30,236
30,160
32,436
30,695
27,525
26,434
25,739
25,204
24,977
24,320
22,680
22,052
21,467
21,383
21,777
21,928
21,814
22,937
23,595
20,830
19,650
19,195
19,644
18,483
18,079
19,178
18,391
18,441
18,584
20,108
20,148
19,394
17,745
17,696
17,032
16,438
15,683
15,594
15,713
15,937
16,171
15,928
16,348
15,579
15,305
15,648
14,954
15,137
15,839
16,050
15,168
17,064
16,005
14,886
14,931
14,544
13,812
13,031
12,574
11,964
11,451
11,346
11,353
10,702
10,646
10,556
10,463
10,407
10,625
10,872
10,805
10,653
10,574
10,431
10,383
10,296
10,872
10,635
10,297
10,570
10,662
10,709
10,413
10,846
10,371
9,924
9,828
9,897
9,721
10,171
10,738
10,812
10,511
10,244
10,368
10,457
10,186
10,166
10,827
10,997
10,940
10,756
10,893
10,236
9,960
10,018
10,063
10,002
9,728
10,002
10,177
9,948
9,394
9,308
9,155
9,103
9,732
9,984

Tables (Output of Computation)





Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-8.392264
Beta19.3388042.2382098.640303 H0: beta = 0
Elasticity1.5521790.1796443.073739 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-8.392264 & & & \tabularnewline Beta19.3388042.2382098.640303 H0: beta = 0 \tabularnewline Elasticity1.5521790.1796443.073739 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101345&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]
-8.392264[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]19.338804[/C]2.238209[/C]8.640303[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.552179[/C]0.179644[/C]3.073739[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101345&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101345&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-8.392264
Beta19.3388042.2382098.640303 H0: beta = 0
Elasticity1.5521790.1796443.073739 H0: elast. = 1






Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001647.6350271647.635027
Residual118.0000002604.26462722.070039
Total119.0000004251.89965435.730249
F-TEST74.654830

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001647.6350271647.635027 \tabularnewline Residual118.0000002604.26462722.070039 \tabularnewline Total119.0000004251.89965435.730249 \tabularnewline F-TEST74.654830 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101345&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]1647.635027[/C]1647.635027[/C][/ROW] [ROW][C]Residual[/C]118.000000[/C]2604.264627[/C]22.070039[/C][/ROW] [ROW][C]Total[/C]119.000000[/C]4251.899654[/C]35.730249[/C][/ROW] [ROW][C]F-TEST[/C]74.654830[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101345&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101345&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001647.6350271647.635027
Residual118.0000002604.26462722.070039
Total119.0000004251.89965435.730249
F-TEST74.654830






Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.052106
Von Neumann Ratio0.052544
rho - Least Squares0.944065
rho - Maximum Likelihood1.004002
rho - Serial Correlation0.950795
rho - Goldberger0.973572

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.052106 \tabularnewline Von Neumann Ratio0.052544 \tabularnewline rho - Least Squares0.944065 \tabularnewline rho - Maximum Likelihood1.004002 \tabularnewline rho - Serial Correlation0.950795 \tabularnewline rho - Goldberger0.973572 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101345&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.052106[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.052544[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.944065[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]1.004002[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.950795[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.973572[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101345&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101345&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.052106
Von Neumann Ratio0.052544
rho - Least Squares0.944065
rho - Maximum Likelihood1.004002
rho - Serial Correlation0.950795
rho - Goldberger0.973572






Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X1.219864
Biased Variance X0.036713
Biased S.E. X0.191607
Mean Y15.198450
Biased Variance Y35.432497
Biased S.E. Y5.952520
Mean F15.198450
Biased Variance F13.730292
Biased S.E. F3.705441
Mean e0.000000
Biased Variance e21.702205
Biased S.E. e0.428855

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
1.219864 \tabularnewline Biased Variance X0.036713 \tabularnewline Biased S.E. X0.191607 \tabularnewline Mean Y15.198450 \tabularnewline Biased Variance Y35.432497 \tabularnewline Biased S.E. Y5.952520 \tabularnewline Mean F15.198450 \tabularnewline Biased Variance F13.730292 \tabularnewline Biased S.E. F3.705441 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e21.702205 \tabularnewline Biased S.E. e0.428855 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101345&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]
1.219864[/C][/ROW] [ROW][C]Biased Variance X[/C]0.036713[/C][/ROW] [ROW][C]Biased S.E. X[/C]0.191607[/C][/ROW] [ROW][C]Mean Y[/C]15.198450[/C][/ROW] [ROW][C]Biased Variance Y[/C]35.432497[/C][/ROW] [ROW][C]Biased S.E. Y[/C]5.952520[/C][/ROW] [ROW][C]Mean F[/C]15.198450[/C][/ROW] [ROW][C]Biased Variance F[/C]13.730292[/C][/ROW] [ROW][C]Biased S.E. F[/C]3.705441[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]21.702205[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.428855[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101345&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101345&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X1.219864
Biased Variance X0.036713
Biased S.E. X0.191607
Mean Y15.198450
Biased Variance Y35.432497
Biased S.E. Y5.952520
Mean F15.198450
Biased Variance F13.730292
Biased S.E. F3.705441
Mean e0.000000
Biased Variance e21.702205
Biased S.E. e0.428855


Figures (Output of Computation)

Input Parameters & R Code

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