Free Statistics

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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 computationTue, 16 Nov 2010 09:02:53 +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/16/t1289898650k1pr2kmffhc5pad.htm/, Retrieved Wed, 01 May 2024 23:22:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=95260, Retrieved Wed, 01 May 2024 23:22:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127
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] [ass 3 ws6] [2010-11-14 10:45:24] [0e7b3997dca5cf9d94982fb4db7bd3d5]
-    D      [Linear Regression Graphical Model Validation] [mini tutorial] [2010-11-16 09:02:53] [3f56c8f677e988de577e4e00a8180a48] [Current]
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Dataseries X:
85.45454545
61.81818182
47.27272727
78.18181818
70.90909091
76.36363636
67.27272727
74.54545455
70.90909091
76.36363636
74.54545455
72.72727273
69.09090909
87.27272727
78.18181818
58.18181818
76.36363636
83.63636364
78.18181818
61.81818182
67.27272727
69.09090909
69.09090909
83.63636364
90.90909091
74.54545455
74.54545455
65.45454545
87.27272727
74.54545455
81.81818182
80
72.72727273
72.72727273
81.81818182
74.54545455
69.09090909
69.09090909
100
67.27272727
76.36363636
76.36363636
58.18181818
78.18181818
70.90909091
61.81818182
72.72727273
70.90909091
80
74.54545455
67.27272727
81.81818182
74.54545455
72.72727273
83.63636364
80
83.63636364
78.18181818
67.27272727
89.09090909
80
61.81818182
69.09090909
78.18181818
72.72727273
76.36363636
72.72727273
70.90909091
78.18181818
61.81818182
81.81818182
72.72727273
83.63636364
74.54545455
70.90909091
72.72727273
65.45454545
65.45454545
70.90909091
69.09090909
80
76.36363636
67.27272727
70.90909091
78.18181818
78.18181818
78.18181818
74.54545455
78.18181818
69.09090909
61.81818182
80
76.36363636
76.36363636
74.54545455
81.81818182
78.18181818
60
76.36363636
83.63636364
76.36363636
70.90909091
76.36363636
65.45454545
74.54545455
67.27272727
80
61.81818182
60
74.54545455
78.18181818
63.63636364
69.09090909
85.45454545
63.63636364
65.45454545
63.63636364
61.81818182
65.45454545
78.18181818
61.81818182
72.72727273
60
74.54545455
61.81818182
69.09090909
69.09090909
70.90909091
74.54545455
70.90909091
70.90909091
61.81818182
61.81818182
69.09090909
63.63636364
76.36363636
61.81818182
78.18181818
69.09090909
70.90909091
81.81818182
65.45454545
76.36363636
69.09090909
63.63636364
70.90909091
69.09090909
83.63636364
87.27272727
70.90909091
74.54545455
70.90909091
80
83.63636364
76.36363636
70.90909091
67.27272727
70.90909091
72.72727273
63.63636364
Dataseries Y:
37
2
3
6
17
14
3
4
18
40
0
35
12
22
50
3
3
16
12
2
4
16
6
0
21
21
2
35
10
4
36
7
17
10
14
7
12
14
45
15
20
16
9
26
15
12
12
11
30
14
24
16
10
2
14
11
16
4
15
0
12
0
13
18
11
13
24
20
12
14
21
21
0
46
2
0
3
3
25
13
18
24
20
24
23
15
7
3
0
35
14
8
0
13
12
21
12
18
6
39
8
25
26
19
4
18
14
18
13
21
4
15
0
1
0
0
10
24
19
12
0
2
8
24
23
42
6
24
18
3
14
0
32
10
4
23
5
18
24
36
40
20
40
33
17
14
40
27
24
4
15
8
43
14
24
3
1
31
12
13




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=95260&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=95260&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95260&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 time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term-9.302348749721828.55355572146222-1.087541725645250.278453695773632
slope0.3372866682210190.1167157515728152.889812760281960.00439682668996988

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & -9.30234874972182 & 8.55355572146222 & -1.08754172564525 & 0.278453695773632 \tabularnewline
slope & 0.337286668221019 & 0.116715751572815 & 2.88981276028196 & 0.00439682668996988 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=95260&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]-9.30234874972182[/C][C]8.55355572146222[/C][C]-1.08754172564525[/C][C]0.278453695773632[/C][/ROW]
[ROW][C]slope[/C][C]0.337286668221019[/C][C]0.116715751572815[/C][C]2.88981276028196[/C][C]0.00439682668996988[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=95260&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95260&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 term-9.302348749721828.55355572146222-1.087541725645250.278453695773632
slope0.3372866682210190.1167157515728152.889812760281960.00439682668996988



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')