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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 21 Nov 2011 12:39:17 -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/21/t1321897166qkmov4b2mkfqu0y.htm/, Retrieved Thu, 28 Mar 2024 12:05:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=145853, Retrieved Thu, 28 Mar 2024 12:05:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Competence to learn] [2010-11-17 07:43:53] [b98453cac15ba1066b407e146608df68]
- R PD  [Multiple Regression] [Multiple linear r...] [2011-11-18 14:28:22] [74b1e5a3104ff0b2404b2865a63336ad]
-    D    [Multiple Regression] [Multiple Linear R...] [2011-11-21 16:33:18] [74b1e5a3104ff0b2404b2865a63336ad]
-   P       [Multiple Regression] [Multiple Linear R...] [2011-11-21 16:35:12] [74b1e5a3104ff0b2404b2865a63336ad]
- RMPD          [Pearson Correlation] [Correlatie] [2011-11-21 17:39:17] [f9bdb25068ab2a4592adc645515299ca] [Current]
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Dataseries X:
152
99
92
138
106
95
145
181
190
150
186
174
151
112
143
120
169
135
161
98
142
190
169
130
160
176
111
165
117
122
Dataseries Y:
74272
78867
80176
36541
55107
45527
46001
62854
78112
52653
48467
44873
65605
48016
81110
68019
42198
68531
40071
65849
46362
36313
83521
64932
76730
56982
63793
49740
69447
74708




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145853&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145853&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145853&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net







Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean142.63333333333360179.2333333333
Biased Variance884.298888888889208078761.045556
Biased Standard Deviation29.737163430443214424.9353913824
Covariance-103804.911494253
Correlation-0.233927472988527
Determination0.0547220626187981
T-Test-1.27315266718887
p-value (2 sided)0.213433125702741
p-value (1 sided)0.10671656285137
Degrees of Freedom28
Number of Observations30

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 142.633333333333 & 60179.2333333333 \tabularnewline
Biased Variance & 884.298888888889 & 208078761.045556 \tabularnewline
Biased Standard Deviation & 29.7371634304432 & 14424.9353913824 \tabularnewline
Covariance & -103804.911494253 \tabularnewline
Correlation & -0.233927472988527 \tabularnewline
Determination & 0.0547220626187981 \tabularnewline
T-Test & -1.27315266718887 \tabularnewline
p-value (2 sided) & 0.213433125702741 \tabularnewline
p-value (1 sided) & 0.10671656285137 \tabularnewline
Degrees of Freedom & 28 \tabularnewline
Number of Observations & 30 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145853&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]142.633333333333[/C][C]60179.2333333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]884.298888888889[/C][C]208078761.045556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]29.7371634304432[/C][C]14424.9353913824[/C][/ROW]
[ROW][C]Covariance[/C][C]-103804.911494253[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.233927472988527[/C][/ROW]
[ROW][C]Determination[/C][C]0.0547220626187981[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.27315266718887[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.213433125702741[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.10671656285137[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]28[/C][/ROW]
[ROW][C]Number of Observations[/C][C]30[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145853&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145853&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean142.63333333333360179.2333333333
Biased Variance884.298888888889208078761.045556
Biased Standard Deviation29.737163430443214424.9353913824
Covariance-103804.911494253
Correlation-0.233927472988527
Determination0.0547220626187981
T-Test-1.27315266718887
p-value (2 sided)0.213433125702741
p-value (1 sided)0.10671656285137
Degrees of Freedom28
Number of Observations30



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson')
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')