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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 12:56:20 -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/t1321379895dpuyna5zxqrh8wq.htm/, Retrieved Thu, 25 Apr 2024 20:01:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=143290, Retrieved Thu, 25 Apr 2024 20:01:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Linear Regression Graphical Model Validation] [tryout2] [2011-11-15 17:56:20] [2adf2d2c11e011c12275478b9efd18e5] [Current]
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Dataseries X:
17298
9858
8467
20510
5114
7721
23654
1271
13872
11235
12777
10681
5603
10843
6589
16859
14431
8857
15750
6978
25068
12029
3960
11590
15216
15173
12205
14522
6008
7005
27658
6268
12588
1308
20414
3963
14294
10474
11082
17263
12043
10149
13551
6083
4922
8065
6773
12649
12030
12688
12485
2694
11347
3597
5011
17745
12888
20771
23195
7483
17441
27499
7763
10506
17544
9863
11786
14626
11114
9482
9432
2970
10957
10467
11882
14093
16933
7947
9348
7854
8475
15615
8312
9400
7905
4525
16732
10784
15550
19591
5537
11778
4695
8911
15746
11288
17295
18560
15476
26914
16766
14341
5373
7409
10791
21000
23021
15492
11181
6006
14271
9346
238
13240
3879
4397
11417
338
7941
3988
13508
11025
1819
5531
1888
12343
16321
14263
19165
9157
25740
12142
4565
12694
13172
304
20477
7945
17712
6397
303
11306
16379
2805
15448
9031
15706
19234
0
2065
0
0
0
0
10853
8571
0
0
556
2089
2658
1419
0
7521
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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=143290&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=143290&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=143290&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'Gertrude Mary Cox' @ cox.wessa.net







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term15724.07035678593048.124150798765.158605614100527.18875697858223e-07
slope2.84774461348530.24662025206469711.54708337877390

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 15724.0703567859 & 3048.12415079876 & 5.15860561410052 & 7.18875697858223e-07 \tabularnewline
slope & 2.8477446134853 & 0.246620252064697 & 11.5470833787739 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=143290&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]15724.0703567859[/C][C]3048.12415079876[/C][C]5.15860561410052[/C][C]7.18875697858223e-07[/C][/ROW]
[ROW][C]slope[/C][C]2.8477446134853[/C][C]0.246620252064697[/C][C]11.5470833787739[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=143290&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=143290&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 term15724.07035678593048.124150798765.158605614100527.18875697858223e-07
slope2.84774461348530.24662025206469711.54708337877390



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')