Home » date » 2010 » Dec » 21 »

Spaargeld NL vs Leningen NL

*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 14:30:35 +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/t1292942150bpeg3gpxpbwqx6k.htm/, Retrieved Tue, 21 Dec 2010 15:35:50 +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/t1292942150bpeg3gpxpbwqx6k.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:
Spaargeld Huishoudens NL vs Uitgegeven Leningen Banken NL
 
Dataseries X:
» Textbox « » Textfile « » CSV «
143827 145191 146832 148577 149873 151847 153252 154292 155657 156523 156416 156693 160312 160438 160882 161668 164391 168556 169738 170387 171294 172202 172651 172770 178366 180014 181067 182586 184957 186417 188599 189490 190264 191221 191110 190674 195438 196393 197172 198760 200945 203845 204613 205487 206100 206315 206291 207801 211653 211325 211893 212056 214696 217455 218884 219816 219984 219062 218550 218179 222218 222196 223393 223292 226236 228831 228745 229140 229270 229359 230006 228810 232677 232961 234629 235660 240024 243554 244368 244356 245126 246321 246797 246735 251083 251786 252732 255051 259022 261698 263891 265247 262228 263429 264305 266371 273248 275472 278146 279506 283991 286794 288703 289285 288869 286942 285833 284095 289229 289389 290793 291454 294733 293853 294056 293982 293075 292391
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
829461 837669 854793 850092 848783 846150 828543 830389 848989 841106 854616 832714 839290 840572 869186 856979 872126 868281 862455 881177 886924 886842 916407 890606 900409 920169 922871 920004 945772 937507 941691 958256 963509 970266 972853 982168 999892 1002099 1017611 1029782 1047956 1047689 1060054 1067078 1072366 1081823 1087601 1089905 1116316 1111355 1124250 1140597 1151683 1137532 967532 972994 999207 1007982 1015892 994850 987503 986743 1020674 1024067 1040444 1019081 1027828 1021010 1025563 1044756 1062545 1070425 1100087 1093596 1109143 1113855 1129275 1131996 1144103 1167830 1153194 1175008 1175805 1173456 1187498 1202958 1206229 1249533 1279743 1283496 1282942 1284739 1337169 1314087 1306144 1200391 1265445 1259329 1219342 1227626 1232874 1241046 1244172 1237838 1212801 1234237 1224699 1237432 1248847 1256543 1252434 1265176 1314670 1299329 1216744 1225275 1193478 1207226
 
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'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term371942.19331974423555.432517587015.79008124949710
slope3.130181538589950.10425239987236530.0250310057340
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/1wt0k1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/1wt0k1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/2wt0k1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/2wt0k1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/372zn1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/372zn1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/45fof1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/45fof1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/55fof1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/55fof1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/6blgb1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/6blgb1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/7blgb1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/7blgb1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/83ufw1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/83ufw1292941830.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/93ufw1292941830.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292942150bpeg3gpxpbwqx6k/93ufw1292941830.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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