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Type 'q()' to quit R. > y <- c(0.439620618,0.415578668,0.374927888,0.347499866,0.327363973,0.30912795,0.294782014,0.271568014,0.24362019,0.219233356,0.198928656,0.153201781,0.136500202,0.1247118,0.125838095,0.136887675,0.124547993,0.107159561,0.104998434,0.107308572,0.104528533,0.08088668,0.059476192,0.053914856,0.051123828,0.046363275,0.044694892,0.040634361,0.038625779,0.040071656,0.039128976,0.03841219,0.037037037,0.034563019,0.033502125,0.034427132,0.032522094,0.028919522,0.028209468,0.030091905,0.031718983,0.032220944,0.030558106,0.028205662,0.023910542) > x <- c(65.2261159,66.18192324,68.51084108,70.33722683,71.143908,71.73414119,71.99927612,73.59456359,76.89891122,78.58059708,81.23539893,90.76678766,92.88460144,93.66937745,88.60410226,79.25341207,77.2465582,81.65647728,79.13140312,75.54106548,73.37597484,76.58704251,86.94640339,92.58089844,92.06547505,94.67242843,94.25869487,99.41227085,98.61304918,96.84902718,95.23722912,96.77880196,96.9227634,99.45702834,99.64352421,98.73290651,99.24435175,106.3037831,106.1372524,104.0509283,101.0545734,100,100.8805611,101.6755514,106.8457317) > par1 = '0' > par1 <- '0' > #'GNU S' R Code compiled by R2WASP v. 1.2.291 () > #Author: root > #To cite this work: Wessa P., (2012), Linear Regression Graphical Model Validation (v1.0.7) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_linear_regression.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > # > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -0.143035 -0.028056 0.004335 0.044591 0.124812 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.8529961 0.0653164 13.06 < 2e-16 *** x -0.0082511 0.0007327 -11.26 2.08e-14 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.061 on 43 degrees of freedom Multiple R-squared: 0.7468, Adjusted R-squared: 0.7409 F-statistic: 126.8 on 1 and 43 DF, p-value: 2.078e-14 > postscript(file="/var/fisher/rcomp/tmp/1dcub1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/2d3jn1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -4.050e-17 -6.796e-18 -4.290e-19 8.133e-18 3.217e-17 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 8.530e-01 1.413e-17 6.035e+16 <2e-16 *** x -8.251e-03 1.586e-19 -5.204e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.32e-17 on 43 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 2.708e+33 on 1 and 43 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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() null device 1 > postscript(file="/var/fisher/rcomp/tmp/39pay1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -0.143035 -0.028056 0.004335 0.044591 0.124812 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 6.593e-18 6.532e-02 0 1 x -5.404e-20 7.327e-04 0 1 Residual standard error: 0.061 on 43 degrees of freedom Multiple R-squared: 7.499e-33, Adjusted R-squared: -0.02326 F-statistic: 3.225e-31 on 1 and 43 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/4vmqr1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -0.15320 -0.09048 -0.03550 0.09389 0.19021 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.246e-01 1.562e-02 7.978 5.09e-10 *** m$residuals 4.099e-17 2.619e-01 0.000 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.1048 on 43 degrees of freedom Multiple R-squared: 4.366e-32, Adjusted R-squared: -0.02326 F-statistic: 1.877e-30 on 1 and 43 DF, p-value: 1 > 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() null device 1 > postscript(file="/var/fisher/rcomp/tmp/5h8x11356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -0.063833 -0.007860 -0.001436 0.008091 0.056239 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.001790 0.003536 -0.506 0.615 Residuals 0.877314 0.059143 14.834 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.02345 on 42 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.8397, Adjusted R-squared: 0.8359 F-statistic: 220 on 1 and 42 DF, p-value: < 2.2e-16 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/6dfju1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/7qbdr1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > 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() null device 1 > postscript(file="/var/fisher/rcomp/tmp/8r9gl1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/9z1pt1356030472.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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="/var/fisher/rcomp/tmp/10k5eb1356030472.tab") > > try(system("convert tmp/1dcub1356030472.ps tmp/1dcub1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/2d3jn1356030472.ps tmp/2d3jn1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/39pay1356030472.ps tmp/39pay1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/4vmqr1356030472.ps tmp/4vmqr1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/5h8x11356030472.ps tmp/5h8x11356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/6dfju1356030472.ps tmp/6dfju1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/7qbdr1356030472.ps tmp/7qbdr1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/8r9gl1356030472.ps tmp/8r9gl1356030472.png",intern=TRUE)) character(0) > try(system("convert tmp/9z1pt1356030472.ps tmp/9z1pt1356030472.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 4.987 1.407 6.389