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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, 20 Dec 2011 05:53:04 -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/20/t1324378418dt124x8sp72opf2.htm/, Retrieved Sat, 20 Apr 2024 07:36:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157913, Retrieved Sat, 20 Apr 2024 07:36:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [] [2011-11-11 13:40:26] [74be16979710d4c4e7c6647856088456]
- RMPD    [Linear Regression Graphical Model Validation] [] [2011-12-20 10:53:04] [274a40ad31da88f12aea425a159a1f93] [Current]
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Dataseries X:
272545
179444
222373
218443
167843
70849
33186
216660
213274
307153
237633
166215
364402
244103
384448
325587
323652
176082
266736
278265
180393
189897
234247
238002
267268
270787
155915
342564
282172
216584
318563
98672
391593
273950
227636
115658
349863
324178
178083
195153
177694
153778
455168
78800
208051
348077
175523
224591
24188
372238
65029
101097
279012
317644
340471
358958
252529
377482
304468
270190
264889
228595
216027
198798
238146
234891
175816
239314
73566
242622
187167
209049
360592
342846
207650
206500
182357
153613
456979
145943
280366
80953
150216
167878
369718
322454
179797
264350
262793
189142
275997
328875
189252
222504
287386
389104
397681
287748
294320
186856
43287
185468
235352
268077
305195
143356
154287
307000
298039
23623
195817
61857
163766
21054
252805
31961
317367
240153
175083
152043
38214
216299
357602
198104
410803
316105
397297
187992
102424
286327
409878
143860
391854
157429
258751
282399
217665
367246
239072
173260
323545
168994
253330
301703
246435
384136
46660
116678
206501
Dataseries Y:
140824
110459
105079
112098
43929
76173
22807
144408
66485
79089
81625
68788
103297
69446
114948
167949
125081
125818
136588
112431
82317
118906
83515
104581
103129
83243
37110
113344
139165
86652
112302
69652
119442
69867
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
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
84601
68946
6179
52789
100350




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157913&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157913&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157913&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'Gertrude Mary Cox' @ cox.wessa.net







Simple Linear Regression
StatisticsEstimateS.D.T-STAT (H0: coeff=0)P-value (two-sided)
constant term30374.15176503817967.266686922023.812367899633150.000201928334345736
slope0.30120266768110.03145571850595549.575450251567910

\begin{tabular}{lllllllll}
\hline
Simple Linear Regression \tabularnewline
Statistics & Estimate & S.D. & T-STAT (H0: coeff=0) & P-value (two-sided) \tabularnewline
constant term & 30374.1517650381 & 7967.26668692202 & 3.81236789963315 & 0.000201928334345736 \tabularnewline
slope & 0.3012026676811 & 0.0314557185059554 & 9.57545025156791 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157913&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]30374.1517650381[/C][C]7967.26668692202[/C][C]3.81236789963315[/C][C]0.000201928334345736[/C][/ROW]
[ROW][C]slope[/C][C]0.3012026676811[/C][C]0.0314557185059554[/C][C]9.57545025156791[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157913&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157913&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 term30374.15176503817967.266686922023.812367899633150.000201928334345736
slope0.30120266768110.03145571850595549.575450251567910



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')