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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationWed, 14 Nov 2007 06:41:00 -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/14/t1195047398bqj4qum8zqvvcc0.htm/, Retrieved Mon, 06 May 2024 22:00:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5387, Retrieved Mon, 06 May 2024 22:00:52 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact263

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Traditional regre...] [2007-11-14 13:41:00] [4a507cbea0acb4f2b617b46f2010fec1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-183.9235445
-177.0726091
-228.6351091
-237.4476091
-127.7601091
-193.0101091
-220.6351091
-164.5101091
-268.3226091
-333.6976091
-34.26010911
-154.8851091
-97.74528053
101.1056549
2.543154874
-43.26934513
-163.5818451
-162.8318451
46.54315487
26.66815487
-107.1443451
42.48065487
76.91815487
196.2931549
201.4329835
12.28391886
-0.278581137
42.90891886
87.59641886
84.34641886
57.72141886
173.8464189
-185.9660811
47.65891886
89.09641886
-68.52858114
272.6112475
146.4621829
162.8996829
10.08718285
279.7746829
212.5246829
248.8996829
-41.97531715
-5.787817149
52.83718285
274.2746829
414.6496829
310.7895114
362.6404468
26.07794684
403.2654468
327.9529468
193.7029468
317.0779468
202.2029468
321.3904468
178.0154468
16.45294684
-68.17205316
-157.0322246
-76.18128917
-81.74378917
-134.5562892
77.13121083
199.8812108
105.2562108
198.3812108
262.5687108
196.1937108
11.63121083
-145.9937892
-166.8539606
-202.0030252
43.43447482
-113.3780252
-113.6905252
-155.9405252
-210.5655252
-124.4405252
-64.25302518
-298.6280252
-154.1905252
23.18447482
-249.6756966
118.1752388
-180.3872612
-79.19976119
-81.51226119
-246.7622612
-105.3872612
-319.2622612
-72.07476119
-90.44976119
-80.01226119
119.3627388
-53.49743261
-114.6464972
-155.2089972
-50.02149721
-196.3339972
-14.58399721
-82.20899721
17.91600279
-162.8964972
-132.2714972
-16.83399721
81.54100279
275.6808314
-32.46823322
17.96926678
27.15676678
-123.1557332
108.5942668
67.96926678
34.09426678
-13.71823322
-113.0932332
54.34426678
149.7192668
153.8590954
-28.28996923
238.1475308
50.33503077
8.022530771
-61.22746923
-140.8524692
-28.72746923
9.460030771
-121.9149692
41.52253077
115.8975308
27.03735936
-91.11170524
3.325794759
-29.48670524
-73.79920524
50.95079476
-86.67420524
-9.54920524
-66.36170524
73.26329476
-216.2992052
-128.9242052
-142.7843767
27.06655875
60.50405875
35.69155875
16.37905875
-64.87094125
115.5040587
-30.37094125
87.81655875
205.4415587
-64.12094125
-322.7459413
-139.6061127
35.24482274
-4.317677263
17.86982274
2.557322737
129.3073227
-16.31767726
164.8073227
21.99482274
138.6198227
87.05732274
51.43232274
-80.42784867
Dataseries Y:
Download CSV
Histogram 
1687
1508
1507
1385
1632
1511
1559
1630
1579
1653
2152
2148
1752
1765
1717
1558
1575
1520
1805
1800
1719
2008
2242
2478
2030
1655
1693
1623
1805
1746
1795
1926
1619
1992
2233
2192
2080
1768
1835
1569
1976
1853
1965
1689
1778
1976
2397
2654
2097
1963
1677
1941
2003
1813
2012
1912
2084
2080
2118
2150
1608
1503
1548
1382
1731
1798
1779
1887
2004
2077
2092
2051
1577
1356
1652
1382
1519
1421
1442
1543
1656
1561
1905
2199
1473
1655
1407
1395
1530
1309
1526
1327
1627
1748
1958
2274
1648
1401
1411
1403
1394
1520
1528
1643
1515
1685
2000
2215
1956
1462
1563
1459
1446
1622
1657
1638
1643
1683
2050
2262
1813
1445
1762
1461
1556
1431
1427
1554
1645
1653
2016
2207
1665
1361
1506
1360
1453
1522
1460
1552
1548
1827
1737
1941
1474
1458
1542
1404
1522
1385
1641
1510
1681
1938
1868
1726
1456
1445
1456
1365
1487
1558
1488
1684
1594
1850
1998
2079
1494

Tables (Output of Computation)





Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant1717.751479
Beta1.0370070.1091709.499013 H0: beta = 0
Elasticity0.0000000.000000-8.86294e+14 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
1717.751479 & & & \tabularnewline Beta1.0370070.1091709.499013 H0: beta = 0 \tabularnewline Elasticity0.0000000.000000-8.86294e+14 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5387&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]
1717.751479[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]1.037007[/C]0.109170[/C]9.499013[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.000000[/C]0.000000[/C]-8.86294e+14[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5387&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5387&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
Constant1717.751479
Beta1.0370070.1091709.499013 H0: beta = 0
Elasticity0.0000000.000000-8.86294e+14 H0: elast. = 1






Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000004.19772e+64.19772e+6
Residual167.0000007.76914e+646521.802832
Total168.0000001.19669e+771231.318822
F-TEST90.231251

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000004.19772e+64.19772e+6 \tabularnewline Residual167.0000007.76914e+646521.802832 \tabularnewline Total168.0000001.19669e+771231.318822 \tabularnewline F-TEST90.231251 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5387&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]4.19772e+6[/C]4.19772e+6[/C][/ROW] [ROW][C]Residual[/C]167.000000[/C]7.76914e+6[/C]46521.802832[/C][/ROW] [ROW][C]Total[/C]168.000000[/C]1.19669e+7[/C]71231.318822[/C][/ROW] [ROW][C]F-TEST[/C]90.231251[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5387&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5387&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
Regression1.0000004.19772e+64.19772e+6
Residual167.0000007.76914e+646521.802832
Total168.0000001.19669e+771231.318822
F-TEST90.231251






Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.646271
Von Neumann Ratio0.650118
rho - Least Squares0.675663
rho - Maximum Likelihood0.676177
rho - Serial Correlation0.677961
rho - Goldberger0.675920

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.646271 \tabularnewline Von Neumann Ratio0.650118 \tabularnewline rho - Least Squares0.675663 \tabularnewline rho - Maximum Likelihood0.676177 \tabularnewline rho - Serial Correlation0.677961 \tabularnewline rho - Goldberger0.675920 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5387&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.646271[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.650118[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.675663[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.676177[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.677961[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.675920[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5387&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5387&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-Watson0.646271
Von Neumann Ratio0.650118
rho - Least Squares0.675663
rho - Maximum Likelihood0.676177
rho - Serial Correlation0.677961
rho - Goldberger0.675920






Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X0.000000
Biased Variance X23097.401694
Biased S.E. X151.978293
Mean Y1717.751479
Biased Variance Y70809.831729
Biased S.E. Y266.101168
Mean F1717.751479
Biased Variance F24838.582777
Biased S.E. F157.602610
Mean e0.000000
Biased Variance e45971.248952
Biased S.E. e16.591472

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
0.000000 \tabularnewline Biased Variance X23097.401694 \tabularnewline Biased S.E. X151.978293 \tabularnewline Mean Y1717.751479 \tabularnewline Biased Variance Y70809.831729 \tabularnewline Biased S.E. Y266.101168 \tabularnewline Mean F1717.751479 \tabularnewline Biased Variance F24838.582777 \tabularnewline Biased S.E. F157.602610 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e45971.248952 \tabularnewline Biased S.E. e16.591472 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5387&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]
0.000000[/C][/ROW] [ROW][C]Biased Variance X[/C]23097.401694[/C][/ROW] [ROW][C]Biased S.E. X[/C]151.978293[/C][/ROW] [ROW][C]Mean Y[/C]1717.751479[/C][/ROW] [ROW][C]Biased Variance Y[/C]70809.831729[/C][/ROW] [ROW][C]Biased S.E. Y[/C]266.101168[/C][/ROW] [ROW][C]Mean F[/C]1717.751479[/C][/ROW] [ROW][C]Biased Variance F[/C]24838.582777[/C][/ROW] [ROW][C]Biased S.E. F[/C]157.602610[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]45971.248952[/C][/ROW] [ROW][C]Biased S.E. e[/C]16.591472[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5387&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5387&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 X0.000000
Biased Variance X23097.401694
Biased S.E. X151.978293
Mean Y1717.751479
Biased Variance Y70809.831729
Biased S.E. Y266.101168
Mean F1717.751479
Biased Variance F24838.582777
Biased S.E. F157.602610
Mean e0.000000
Biased Variance e45971.248952
Biased S.E. e16.591472


Figures (Output of Computation)

Input Parameters & R Code

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