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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 computationTue, 15 Nov 2011 05:57:40 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/15/t1321354834pa5cdc2l09qtkib.htm/, Retrieved Thu, 25 Apr 2024 06:19:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=142715, Retrieved Thu, 25 Apr 2024 06:19:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75
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] [] [2011-11-15 10:57:40] [bb550f50666f8cd9962562839f8255be] [Current]
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Dataseries X:
309
210
360
737
143
81
1074
102
488
371
478
318
398
626
363
1003
434
650
302
415
408
756
258
279
750
637
640
339
366
482
553
345
493
150
759
603
626
337
212
670
959
421
385
248
791
1282
330
404
943
527
278
216
512
253
411
585
411
666
563
429
746
740
634
540
340
281
392
584
520
341
417
301
397
450
329
561
598
240
270
396
439
784
516
287
437
548
220
795
435
655
389
403
338
673
513
340
352
427
603
796
380
480
293
214
428
349
505
571
175
322
373
376
135
436
185
261
605
146
528
193
703
332
183
302
276
280
518
233
960
506
718
287
252
544
875
195
1065
407
329
456
212
970
408
716
490
290
618
479
0
85
0
0
0
0
407
489
0
0
74
259
69
187
0
312
Dataseries Y:
78973
46146
46492
60656
21898
36555
74680
22807
61282
37981
41553
45081
38557
51641
30658
52924
79256
53462
68950
53639
67819
48333
28001
51665
39019
46221
65792
39858
19574
41829
78688
36781
44314
24874
56911
37048
48426
33388
26998
46502
41507
40001
33144
29501
43059
43249
29272
49821
98341
44372
42448
5950
64839
32551
30767
62046
71930
67328
67253
35373
85544
88087
30621
50580
49670
25456
69245
43787
53638
35683
38008
18801
44324
51408
53880
55708
63858
183643
35660
41664
29883
62047
33321
46553
56622
15430
49379
58215
38253
77786
21331
55292
30105
37651
59370
46216
73122
93927
55935
93308
74344
78094
25625
43750
28995
47336
57582
60875
165877
32984
61638
36367
1168
40530
21427
15024
39088
855
80455
14116
43915
76705
40112
41821
8773
52045
51491
53470
53211
63091
131634
41745
23656
51442
54574
35708
66627
39585
50029
25266
34860
62759
62307
37238
42452
59820
75075
97567
0
6023
0
0
0
0
42420
31116
0
0
1644
6179
3926
23238
0
38818




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142715&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142715&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142715&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 time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term24141.6839114683935.918935801776.13368423111346.33828656226854e-09
slope50.53650259208378.008648014264226.310241441760592.55581555919093e-09

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 24141.683911468 & 3935.91893580177 & 6.1336842311134 & 6.33828656226854e-09 \tabularnewline
slope & 50.5365025920837 & 8.00864801426422 & 6.31024144176059 & 2.55581555919093e-09 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142715&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]24141.683911468[/C][C]3935.91893580177[/C][C]6.1336842311134[/C][C]6.33828656226854e-09[/C][/ROW]
[ROW][C]slope[/C][C]50.5365025920837[/C][C]8.00864801426422[/C][C]6.31024144176059[/C][C]2.55581555919093e-09[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142715&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142715&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 term24141.6839114683935.918935801776.13368423111346.33828656226854e-09
slope50.53650259208378.008648014264226.310241441760592.55581555919093e-09



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')