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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 computationSat, 17 Dec 2011 11:51:48 -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/Dec/17/t1324140727j323nsdm776n4lo.htm/, Retrieved Sat, 20 Apr 2024 01:03:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156478, Retrieved Sat, 20 Apr 2024 01:03:42 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact214
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [One Sample Tests about the Mean] [] [2010-10-25 21:41:42] [b98453cac15ba1066b407e146608df68]
- R  D  [One Sample Tests about the Mean] [Smallest type 1 e...] [2011-10-23 09:06:52] [21b3d52ef28595defb5676e0f3570994]
- RMPD      [Linear Regression Graphical Model Validation] [Paper 1.4.1] [2011-12-17 16:51:48] [e048104803f11a6160595af3ccdecef4] [Current]
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Dataseries X:
165
135
121
148
73
49
185
5
125
93
154
98
70
148
100
150
197
114
169
200
148
140
74
128
140
116
147
132
70
144
155
165
161
31
199
78
121
112
41
158
123
104
94
73
52
71
21
155
174
136
128
7
165
21
35
137
174
257
207
103
171
279
83
130
131
126
158
138
200
104
111
26
115
127
140
121
183
68
112
103
63
166
38
163
59
27
108
88
92
170
98
205
96
107
150
123
176
213
208
307
125
208
73
49
82
206
112
139
60
70
112
142
11
130
31
132
219
4
102
39
125
121
42
111
16
70
162
173
171
172
254
90
50
113
187
16
175
90
140
145
141
125
241
16
175
132
154
198
0
5
0
0
0
0
125
174
0
0
6
13
3
35
0
80
Dataseries Y:
140824
110459
105079
112098
43929
76173
187326
22807
144408
66485
79089
81625
68788
103297
69446
114948
167949
125081
125818
136588
112431
103037
82317
118906
83515
104581
103129
83243
37110
113344
139165
86652
112302
69652
119442
69867
101629
70168
31081
103925
92622
79011
93487
64520
93473
114360
33032
96125
151911
89256
95671
5950
149695
32551
31701
100087
169707
150491
120192
95893
151715
176225
59900
104767
114799
72128
143592
89626
131072
126817
81351
22618
88977
92059
81897
108146
126372
249771
71154
71571
55918
160141
38692
102812
56622
15986
123534
108535
93879
144551
56750
127654
65594
59938
146975
143372
168553
183500
165986
184923
140358
149959
57224
43750
48029
104978
100046
101047
197426
160902
147172
109432
1168
83248
25162
45724
110529
855
101382
14116
89506
135356
116066
144244
8773
102153
117440
104128
134238
134047
279488
79756
66089
102070
146760
154771
165933
64593
92280
67150
128692
124089
125386
37238
140015
150047
154451
156349
0
6023
0
0
0
0
84601
68946
0
0
1644
6179
3926
52789
0
100350




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156478&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]3 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=156478&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156478&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term25260.06578484475311.32003334484.755892250186474.34090042156221e-06
slope613.93259443678240.753970698346315.06436266004610

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 25260.0657848447 & 5311.3200333448 & 4.75589225018647 & 4.34090042156221e-06 \tabularnewline
slope & 613.932594436782 & 40.7539706983463 & 15.0643626600461 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156478&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]25260.0657848447[/C][C]5311.3200333448[/C][C]4.75589225018647[/C][C]4.34090042156221e-06[/C][/ROW]
[ROW][C]slope[/C][C]613.932594436782[/C][C]40.7539706983463[/C][C]15.0643626600461[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156478&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156478&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 term25260.06578484475311.32003334484.755892250186474.34090042156221e-06
slope613.93259443678240.753970698346315.06436266004610



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')