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*The author of this computation has been verified*
R Software Module: /rwasp_linear_regression.wasp (opens new window with default values)
Title produced by software: Linear Regression Graphical Model Validation
Date of computation: Tue, 09 Nov 2010 18:52:38 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0.htm/, Retrieved Tue, 09 Nov 2010 19:59:32 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
59 2.110 59 65 36 134 109 92 88 33 21 61 101 75 37 83 46 64 61 21 49 158 93 47 44 82 52 69 84 59 42 37 79 76 144 178 380 87 56 54 36 75 89 51 7 78 79 31 158 30 115 31 57 62 47 41 69 47 37 154 49 48 44 45 37 150 27 35 100 63 398 127 88 797 212 147 206 109 386 219 86 534 204 133 676 303 95 226 124 96 67 7 122 34 26 99 118 25 34 45 39 37 55 43 48 59 44 57 17 102 31 47 144 72 69 32 22 39 13 23 52 39 27 48 117 40 30 28 42 47 34 99 26 45 80 23 37 31 41 17 74 68 569 52 39 55 49 145 62 43 31 97 35 19 15 130 38 48 40 71 49 19 28 50 20 32 119 29 68 94 25 87 135 17 13 49 37 140 16 38 23 63 75 474 43 52 97 102 89 8 116 60 44 36 53 17 149 10 89 57 51 40 28 10 45 35 41 109 299 44 18 138 152 142 94 9 86 42 55 48 297 42 40 40 30 126 35 44 36 253 36 18 47 26 38 28 69 44 58 37 24 34 66 48 etc...
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
32 1.106 15 51 30 94 46 62 33 19 15 33 57 50 16 58 19 38 28 14 45 84 42 18 35 42 25 48 42 18 34 24 51 45 101 84 206 45 34 35 14 45 65 28 2 49 39 22 72 21 76 20 45 34 27 37 35 26 13 59 25 22 33 29 30 117 17 25 47 47 230 69 32 4.600 122 105 113 67 270 126 43 254 144 112 412 179 75 119 101 71 30 3 72 22 24 76 98 6 20 23 23 21 36 29 35 40 30 29 3 62 29 30 96 37 40 27 13 24 11 20 39 26 27 23 74 27 14 16 15 24 14 73 12 25 40 10 18 16 27 14 36 29 255 29 15 36 28 95 25 21 10 55 26 12 15 89 26 18 20 40 27 7 20 33 12 24 86 21 62 53 22 52 67 18 7 37 21 71 20 28 16 37 45 360 35 26 54 54 55 7 87 28 21 21 31 1 86 6 68 47 33 21 16 8 19 19 33 72 217 31 10 91 87 73 57 4 43 32 39 48 239 24 23 23 25 75 25 19 28 127 35 17 25 18 22 15 51 30 31 27 14 24 62 28 25 210 36 81 39 36 38 88 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term2.449204779942082.115903490712961.157521971437750.247529945690319
slope0.6351297755534250.018797251278776833.7884388591710
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/1qkc41289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/1qkc41289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/2qkc41289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/2qkc41289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/31ccp1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/31ccp1289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/4b3bs1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/4b3bs1289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/5mcsd1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/5mcsd1289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/6f39g1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/6f39g1289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/7f39g1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/7f39g1289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/88vrj1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/88vrj1289328750.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/98vrj1289328750.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/09/t1289329172qcsi3h1wr5w9ly0/98vrj1289328750.ps (open in new window)


 
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')
 





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Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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