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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_linear_regression.wasp
Title produced by softwareLinear Regression Graphical Model Validation
Date of computationMon, 15 Nov 2010 17:55:07 +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/15/t1289843859gswsml9e6vylde1.htm/, Retrieved Sun, 28 Apr 2024 17:20:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94965, Retrieved Sun, 28 Apr 2024 17:20:43 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact178
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Colombia Coffee -...] [2008-02-26 10:22:06] [74be16979710d4c4e7c6647856088456]
-  M D    [Linear Regression Graphical Model Validation] [Mini tutorial Reg...] [2010-11-15 17:55:07] [628a2d48b4bd249e4129ba023c5511b0] [Current]
-    D      [Linear Regression Graphical Model Validation] [Paper Linear Regr...] [2010-12-18 12:52:02] [49c7a512c56172bc46ae7e93e5b58c1c]
-    D      [Linear Regression Graphical Model Validation] [Paper Linear Regr...] [2010-12-18 13:38:31] [49c7a512c56172bc46ae7e93e5b58c1c]
-    D      [Linear Regression Graphical Model Validation] [Paper Linear Regr...] [2010-12-18 13:45:58] [49c7a512c56172bc46ae7e93e5b58c1c]
-    D      [Linear Regression Graphical Model Validation] [Paper Linear Regr...] [2010-12-18 13:55:48] [49c7a512c56172bc46ae7e93e5b58c1c]
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Dataseries X:
43
30
30
54
30
16
42
0
30
44
70
30
5
30
62
91
41
73
60
20
4
60
62
60
76
65
60
88
16
65
35
70
21
60
100
65
80
65
60
31
55
74
32
10
20
40
55
70
80
50
55
29
70
50
60
60
27
38
70
15
40
37
10
75
60
55
91
29
50
10
57
45
70
38
70
40
61
15
25
54
36
50
68
14
68
100
74
59
50
60
60
70
45
60
21
0
65
33
70
20
60
65
60
53
71
32
70
60
60
50
25
20
80
53
39
53
39
70
60
77
80
50
69
70
36
30
57
80
91
8
60
63
60
18
39
41
50
65
80
68
58
30
60
100
Dataseries Y:
10
20
40
67
38
61
29
0
30
39
70
65
5
30
50
90
45
75
76
15
10
60
67
60
80
70
70
87
27
65
56
82
30
38
56
70
80
71
50
31
40
71
71
10
20
40
55
80
80
72
60
29
70
60
63
70
38
40
80
24
40
47
70
75
60
65
91
68
90
20
61
13
80
40
70
39
93
10
25
56
18
60
74
35
71
100
64
50
40
35
60
70
55
65
30
25
80
26
78
10
70
65
80
60
74
49
70
66
65
40
40
20
90
48
25
35
40
77
70
82
80
52
71
70
50
80
72
80
91
18
70
76
65
35
62
76
50
68
80
90
79
30
60
100




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94965&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94965&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94965&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term13.28080014997852.871195712683424.625529388787728.33254622389923e-06
slope0.8342075117370.051739263728940216.12329692411890

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 13.2808001499785 & 2.87119571268342 & 4.62552938878772 & 8.33254622389923e-06 \tabularnewline
slope & 0.834207511737 & 0.0517392637289402 & 16.1232969241189 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94965&T=1

[TABLE]
[ROW][C]Simple Linear Regression[/C][/ROW]
[ROW][C]Statistics[/C][C]Estimate[/C][C]S.D.[/C][C]T-STAT (H0: coeff=0)[/C][C]P-value (two-sided)[/C][/ROW]
[ROW][C]constant term[/C][C]13.2808001499785[/C][C]2.87119571268342[/C][C]4.62552938878772[/C][C]8.33254622389923e-06[/C][/ROW]
[ROW][C]slope[/C][C]0.834207511737[/C][C]0.0517392637289402[/C][C]16.1232969241189[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94965&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94965&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
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term13.28080014997852.871195712683424.625529388787728.33254622389923e-06
slope0.8342075117370.051739263728940216.12329692411890



Parameters (Session):
par1 = 0 ;
Parameters (R input):
par1 = 0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
library(lattice)
z <- as.data.frame(cbind(x,y))
m <- lm(y~x)
summary(m)
bitmap(file='test1.png')
plot(z,main='Scatterplot, lowess, and regression line')
lines(lowess(z),col='red')
abline(m)
grid()
dev.off()
bitmap(file='test2.png')
m2 <- lm(m$fitted.values ~ x)
summary(m2)
z2 <- as.data.frame(cbind(x,m$fitted.values))
names(z2) <- list('x','Fitted')
plot(z2,main='Scatterplot, lowess, and regression line')
lines(lowess(z2),col='red')
abline(m2)
grid()
dev.off()
bitmap(file='test3.png')
m3 <- lm(m$residuals ~ x)
summary(m3)
z3 <- as.data.frame(cbind(x,m$residuals))
names(z3) <- list('x','Residuals')
plot(z3,main='Scatterplot, lowess, and regression line')
lines(lowess(z3),col='red')
abline(m3)
grid()
dev.off()
bitmap(file='test4.png')
m4 <- lm(m$fitted.values ~ m$residuals)
summary(m4)
z4 <- as.data.frame(cbind(m$residuals,m$fitted.values))
names(z4) <- list('Residuals','Fitted')
plot(z4,main='Scatterplot, lowess, and regression line')
lines(lowess(z4),col='red')
abline(m4)
grid()
dev.off()
bitmap(file='test5.png')
myr <- as.ts(m$residuals)
z5 <- as.data.frame(cbind(lag(myr,1),myr))
names(z5) <- list('Lagged Residuals','Residuals')
plot(z5,main='Lag plot')
m5 <- lm(z5)
summary(m5)
abline(m5)
grid()
dev.off()
bitmap(file='test6.png')
hist(m$residuals,main='Residual Histogram',xlab='Residuals')
dev.off()
bitmap(file='test7.png')
if (par1 > 0)
{
densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1)
} else {
densityplot(~m$residuals,col='black',main='Density Plot')
}
dev.off()
bitmap(file='test8.png')
acf(m$residuals,main='Residual Autocorrelation Function')
dev.off()
bitmap(file='test9.png')
qqnorm(x)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Simple Linear Regression',5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistics',1,TRUE)
a<-table.element(a,'Estimate',1,TRUE)
a<-table.element(a,'S.D.',1,TRUE)
a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE)
a<-table.element(a,'P-value (two-sided)',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'constant term',header=TRUE)
a<-table.element(a,m$coefficients[[1]])
sd <- sqrt(vcov(m)[1,1])
a<-table.element(a,sd)
tstat <- m$coefficients[[1]]/sd
a<-table.element(a,tstat)
pval <- 2*(1-pt(abs(tstat),length(x)-2))
a<-table.element(a,pval)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'slope',header=TRUE)
a<-table.element(a,m$coefficients[[2]])
sd <- sqrt(vcov(m)[2,2])
a<-table.element(a,sd)
tstat <- m$coefficients[[2]]/sd
a<-table.element(a,tstat)
pval <- 2*(1-pt(abs(tstat),length(x)-2))
a<-table.element(a,pval)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')