## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationTue, 16 Dec 2008 13:58:01 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/16/t1229461108jis4udoxvm4xemy.htm/, Retrieved Mon, 04 Mar 2024 05:18:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34198, Retrieved Mon, 04 Mar 2024 05:18:58 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact209
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Arabica Price in ...] [2008-01-05 23:43:18] [74be16979710d4c4e7c6647856088456]
-   PD  [Univariate Data Series] [Bel-20 waarden] [2008-12-15 16:18:19] [74be16979710d4c4e7c6647856088456]
- RMPD      [Pearson Correlation] [autocorrelation t] [2008-12-16 20:58:01] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
28,24
29,58
26,95
29,08
28,76
29,59
30,7
30,52
32,67
33,19
37,13
35,54
37,75
41,84
42,94
49,14
44,61
40,22
44,23
45,85
53,38
53,26
51,8
55,3
57,81
63,96
63,77
59,15
56,12
57,42
63,52
61,71
63,01
68,18
72,03
69,75
74,41
74,33
64,24
60,03
59,44
62,5
55,04
58,34
61,92
67,65
67,68
70,3
75,26
71,44
76,36
81,71
92,6
90,6
92,23
94,09
102,79
109,65
124,05
132,69
Dataseries Y:
1969.6
2061.41
2093.48
2120.88
2174.56
2196.72
2350.44
2440.25
2408.64
2472.81
2407.6
2454.62
2448.05
2497.84
2645.64
2756.76
2849.27
2921.44
2981.85
3080.58
3106.22
3119.31
3061.26
3097.31
3161.69
3257.16
3277.01
3295.32
3363.99
3494.17
3667.03
3813.06
3917.96
3895.51
3801.06
3570.12
3701.61
3862.27
3970.1
4138.52
4199.75
4290.89
4443.91
4502.64
4356.98
4591.27
4696.96
4621.4
4562.84
4202.52
4296.49
4435.23
4105.18
4116.68
3844.49
3720.98
3674.4
3857.62
3801.06
3504.37

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34198&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34198&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34198&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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Herman Ole Andreas Wold' @ 193.190.124.10:1001

 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 60.1341666666667 3395.47966666667 Biased Variance 545.858744305555 614634.667239889 Biased Standard Deviation 23.3636201027485 783.98639480535 Covariance 12745.8497573446 Correlation 0.684259592139309 Determination 0.468211189434654 T-Test 7.14603754176977 p-value (2 sided) 1.66607216911530e-09 p-value (1 sided) 8.33036084557648e-10 Degrees of Freedom 58 Number of Observations 60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 60.1341666666667 & 3395.47966666667 \tabularnewline
Biased Variance & 545.858744305555 & 614634.667239889 \tabularnewline
Biased Standard Deviation & 23.3636201027485 & 783.98639480535 \tabularnewline
Covariance & 12745.8497573446 \tabularnewline
Correlation & 0.684259592139309 \tabularnewline
Determination & 0.468211189434654 \tabularnewline
T-Test & 7.14603754176977 \tabularnewline
p-value (2 sided) & 1.66607216911530e-09 \tabularnewline
p-value (1 sided) & 8.33036084557648e-10 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34198&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]60.1341666666667[/C][C]3395.47966666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]545.858744305555[/C][C]614634.667239889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]23.3636201027485[/C][C]783.98639480535[/C][/ROW]
[ROW][C]Covariance[/C][C]12745.8497573446[/C][/ROW]
[ROW][C]Correlation[/C][C]0.684259592139309[/C][/ROW]
[ROW][C]Determination[/C][C]0.468211189434654[/C][/ROW]
[ROW][C]T-Test[/C][C]7.14603754176977[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.66607216911530e-09[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]8.33036084557648e-10[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34198&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34198&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 Statistic Variable X Variable Y Mean 60.1341666666667 3395.47966666667 Biased Variance 545.858744305555 614634.667239889 Biased Standard Deviation 23.3636201027485 783.98639480535 Covariance 12745.8497573446 Correlation 0.684259592139309 Determination 0.468211189434654 T-Test 7.14603754176977 p-value (2 sided) 1.66607216911530e-09 p-value (1 sided) 8.33036084557648e-10 Degrees of Freedom 58 Number of Observations 60

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)/lxvarx = var(x)*makebiasedvary = var(y)*makebiasedcorxy <- 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')