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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 computationSun, 14 Nov 2010 15:39:04 +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/14/t1289749690u3zmpwr09x99m14.htm/, Retrieved Thu, 25 Apr 2024 19:54:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94570, Retrieved Thu, 25 Apr 2024 19:54:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact223
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] [ws6vb] [2010-11-13 11:31:05] [c7506ced21a6c0dca45d37c8a93c80e0]
-    D    [Linear Regression Graphical Model Validation] [tt] [2010-11-13 12:51:28] [4a7069087cf9e0eda253aeed7d8c30d6]
-    D      [Linear Regression Graphical Model Validation] [W6tutorial] [2010-11-13 14:33:02] [c7506ced21a6c0dca45d37c8a93c80e0]
-    D          [Linear Regression Graphical Model Validation] [Workshop 6, Mini ...] [2010-11-14 15:39:04] [23a9b79f355c69a75648521a893cf584] [Current]
-    D            [Linear Regression Graphical Model Validation] [Workshop 6, Simpl...] [2010-11-16 19:47:28] [3635fb7041b1998c5a1332cf9de22bce]
- R  D              [Linear Regression Graphical Model Validation] [Mini Toturial - H...] [2010-11-17 00:22:02] [b20a509e36241371274681d9edf773da]
- R  D              [Linear Regression Graphical Model Validation] [] [2011-11-15 15:55:49] [46896e8a404bb9354f2d070359621409]
- R  D              [Linear Regression Graphical Model Validation] [Mini Tutorial - k...] [2011-11-15 16:56:43] [74be16979710d4c4e7c6647856088456]
- RMPD              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi Squared Test ...] [2011-11-15 17:42:51] [d0cddc92c01af61bef0226b9e5ade9b3]
- R  D            [Linear Regression Graphical Model Validation] [Mini Toturial - H...] [2010-11-17 00:19:55] [b20a509e36241371274681d9edf773da]
-    D            [Linear Regression Graphical Model Validation] [] [2011-11-15 08:53:32] [ea9976aa04c7322b215e949114660791]
- R  D            [Linear Regression Graphical Model Validation] [] [2011-11-15 15:35:27] [46896e8a404bb9354f2d070359621409]
- R  D            [Linear Regression Graphical Model Validation] [Mini Tutorial - t...] [2011-11-15 16:42:35] [74be16979710d4c4e7c6647856088456]
- R  D            [Linear Regression Graphical Model Validation] [Workshop 6: Mini-...] [2011-11-15 17:30:14] [21b3d52ef28595defb5676e0f3570994]
- R  D            [Linear Regression Graphical Model Validation] [Workshop 6: Mini-...] [2011-11-15 17:32:29] [21b3d52ef28595defb5676e0f3570994]
- R  D            [Linear Regression Graphical Model Validation] [] [2011-12-19 16:17:39] [c505444e07acba7694d29053ca5d114e]
- R  D            [Linear Regression Graphical Model Validation] [] [2011-12-19 16:19:11] [c505444e07acba7694d29053ca5d114e]
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Dataseries X:
5,6
4,4
2,4
4,8
3,2
4
4
4,4
6,4
4,4
5,2
4,8
3,2
4,8
4,4
1,6
3,6
3,2
3,2
5,6
6
6,4
3,6
5,6
4,4
3,2
3,6
3,6
3,6
3,6
4
6,4
4,4
3,2
3,6
6,4
4,4
6,4
4,8
4,8
5,6
3,6
4
3,6
4
4,8
5,6
5,6
4
5,6
6,4
3,6
4
2,4
3,2
5,2
4
3,2
2,8
6
3,6
4
4,8
5,2
4
4,4
3,2
3,6
5,2
4,4
3,2
3,6
3,6
6
3,6
4
5,6
4,8
4,8
4,4
5,6
2,4
4,8
3,2
5,6
4,4
4
5,6
4,8
4
5,6
2
4,4
4
3,6
4
6,4
5,2
3,6
4
4
2,8
3,6
3,2
5,6
5,6
3,2
3,6
5,6
5,6
3,2
3,2
3,2
2,8
2,4
3,2
2,4
4,4
5,6
4,4
4,4
4,4
5,6
3,2
8
4,4
3,2
4,4
4
5,6
4,4
3,6
3,6
3,2
4
5,2
5,2
4,8
3,2
5,2
5,6
4,8
5,6
6
5,2
6,4
3,6
3,6
3,6
3,2
2,8
6,4
4,4
3,6
4,4
3,6
5,6
5,2
6,4
Dataseries Y:
5,5
3,5
8,5
5
6
6
5,5
5,5
6
6,5
7
8
5,5
5
5,5
7,5
4,5
5,5
8,5
8,5
5,5
9
7
5
5,5
7,5
7,5
6,5
8
6,5
4,5
9
9
6
8,5
4,5
4,5
6
9
6
9
7
7,5
8
5
5,5
7
4,5
6
8,5
2,5
6
6
3
12
6
6
7
3,5
6,5
6
6,5
7
4
5,5
4,5
5,5
6,5
5
5,5
6
4,5
7,5
9
7,5
6
6,5
7
5
6,5
6,5
5,5
6,5
8
4
8
5,5
4,5
8
6
7
4
4,5
7,5
5,5
10,5
7
9
6
6,5
7,5
6
9,5
7,5
5,5
5,5
5
6,5
7,5
6
6
8
4,5
9
4
6,5
8,5
4,5
7,5
4
3,5
6
7
3
4
8,5
5
5,5
7
5,5
6,5
6
5,5
4,5
6
10
6
6,5
6
6
4,5
7,5
12
3,5
8,5
5,5
8,5
5,5
6
7
5,5
8
10,5
7
10
6,5
5,5
7,5
9,5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94570&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94570&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94570&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'Gwilym Jenkins' @ 72.249.127.135







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term6.245089580266970.55186661085680811.31630263075900
slope0.04190351723087890.1226901933320750.3415392550361560.733154352797262

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 6.24508958026697 & 0.551866610856808 & 11.3163026307590 & 0 \tabularnewline
slope & 0.0419035172308789 & 0.122690193332075 & 0.341539255036156 & 0.733154352797262 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94570&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]6.24508958026697[/C][C]0.551866610856808[/C][C]11.3163026307590[/C][C]0[/C][/ROW]
[ROW][C]slope[/C][C]0.0419035172308789[/C][C]0.122690193332075[/C][C]0.341539255036156[/C][C]0.733154352797262[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94570&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94570&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 term6.245089580266970.55186661085680811.31630263075900
slope0.04190351723087890.1226901933320750.3415392550361560.733154352797262



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')