Home » date » 2010 » Dec » 21 »

lineaire regressie huwelijken vs geborenen

*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, 21 Dec 2010 15:46:33 +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/Dec/21/t129294669772jp6c1l9npp1nr.htm/, Retrieved Tue, 21 Dec 2010 16:51:47 +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/Dec/21/t129294669772jp6c1l9npp1nr.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 «
17153 15579 16755 16585 16572 16325 17913 17572 17338 17087 15864 15554 16229 15180 16215 15801 15751 16477 17324 16919 16438 16239 15613 15821 15678 14671 15876 15563 15711 15583 16405 16701 16194 16024 14728 14776 15399 14286 15646 14543 15673 15171 15999 16260 16123 16144 15005 14806 15019 13909 15211 14385 15144 14659 15989 16262 16021 15662 14531 14544 15071 14236 14771 14804 15597 15418 16903 16350 16393 15685 14556 14850 15391 13704 15409 15098 15254 15522 16669 16238 16246 15424 14952 15008
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
3111 3995 5245 5588 10681 10516 7496 9935 10249 6271 3616 3724 2886 3318 4166 6401 9209 9820 7470 8207 9564 5309 3385 3706 2733 3045 3449 5542 10072 9418 7516 7840 10081 4956 3641 3970 2931 3170 3889 4850 8037 12370 6712 7297 10613 5184 3506 3810 2692 3073 3713 4555 7807 10869 9682 7704 9826 5456 3677 3431 2765 3483 3445 6081 8767 9407 6551 12480 9530 5960 3252 3717 2642 2989 3607 5366 8898 9435 7328 8594 11349 5797 3621 3851
 
Output produced by software:


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-18599.63827611785023.67966937606-3.702393365066580.000385854841830291
slope1.579686148351330.3196616004902034.941745101472524.03356552691747e-06
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/1hgjv1292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/1hgjv1292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/2sp0y1292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/2sp0y1292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/3kyzj1292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/3kyzj1292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/4v8g41292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/4v8g41292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/5v8g41292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/5v8g41292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/6ohy71292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/6ohy71292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/7ohy71292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/7ohy71292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/8y8xa1292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/8y8xa1292946388.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/9y8xa1292946388.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t129294669772jp6c1l9npp1nr/9y8xa1292946388.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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