Difference between revisions of "Manuals/calci/RSQ"

Latest revision as of 16:11, 8 August 2018

RSQ (Array1,Array2)

$Array1$ is the array of y values.
is the array of x values.
- RSQ(), returns the square of the Pearson product moment correlation coefficient.

Description

This function gives the square of Pearson Product Moment Correlation Coefficient.
This function is calculated using the data points of $y$ and $x$ values.
The formula for PPMC, $r$ is defined by:

$r={\frac {\Sigma (x-{\bar {x}})(y-{\bar {y}})}{\sqrt {\Sigma (x-{\bar {x}})^{2}(y-{\bar {y}})^{2}}}}$ where ${\bar {x}}$ and ${\bar {y}}$ are Average of the two Samples $x$ and $y$ .

This function gives the value of $r^{2}$ , which is the square of this Correlation Coefficient.
The square value can be interpreted as the proportion of the variance in $y$ attributable to the variance in $x$ .
In $RSQ(Array1,Array2)$ , the value of $Array1$ and $Array2$ must be either numbers or names, array, constants or references that contain numbers.
Suppose the array contains text, logicl values or empty cells, like that values are not considered.
This function will return the result as error when

1.  $Array1$  and  $Array2$  are empty or having the different number of data points.
2. The arguments having only one data point.
3. The arguments that are error values or text that cannot be translated in to numbers.

Refer PEARSON for more details.

Examples

Spreadsheet
	A	B	C	D	E	F	G	H
1	12	10	17	21	25	31	19	5
2	4	37	8	18	0	13	15	41
3	9	7	23	11	22	30	6	15
4	50	47	26	13	20	14	33	1
5	4	17	25	44	2	9	-1
6	18	36	40	11

=RSQ(A1:A6,B1:B6) = 0.4003286578
=RSQ(C1:C6,D1:D6) = 0.02320694105
=RSQ(E1:H1,E2:H2) = 0.72060025461
=RSQ(E3:E5,G3:G5) = 0.346037364910
=RSQ(G3:G5,H3:H4) = NAN

References

Pearson

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''RSQ(ar1,ar2)'''</div><br/>
+<div style="font-size:30px">'''RSQ (Array1,Array2)'''</div><br/>
-*<math>ar1</math>  is the array of y values  .
+*<math>Array1</math>  is the array of y values.
-*<math>ar2</math>  is the array of x values.
+*<math>Array2</math>  is the array of x values.
+**RSQ(), returns the square of the Pearson product moment correlation coefficient.
 ==Description==
@@ Line 11: / Line 13: @@
 *This function gives the value of <math> r^2</math>, which is the square of this Correlation Coefficient.
 *The square value can be interpreted as the proportion of the variance in <math>y</math> attributable to the variance in <math>x</math>.
-*In <math> RSQ(ar1,ar2)</math>, the value of <math>ar1</math> and <math>ar1</math> must be either numbers or names, array, constants or references that contain numbers.
+*In <math> RSQ(Array1,Array2)</math>, the value of <math>Array1</math> and <math>Array2</math> must be either numbers or names, array, constants or references that contain numbers.
 *Suppose the array contains text, logicl values or empty cells, like that values are not considered.
 *This function will return the result as error when
-. <math>ar1</math> and <math>ar2</math> are empty or having the different number of data points.
+. <math>Array1</math> and <math>Array2</math> are empty or having the different number of data points.
 . The arguments having only one data point.
 . The arguments that are error values or text that cannot be translated in to numbers.

Difference between revisions of "Manuals/calci/RSQ"

Latest revision as of 16:11, 8 August 2018

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Description

Examples

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	A	B	C	D	E	F	G	H
1	12	10	17	21	25	31	19	5
2	4	37	8	18	0	13	15	41
3	9	7	23	11	22	30	6	15
4	50	47	26	13	20	14	33	1
5	4	17	25	44	2	9	-1
6	18	36	40	11

	A	B	C	D	E	F	G	H
1	12	10	17	21	25	31	19	5
2	4	37	8	18	0	13	15	41
3	9	7	23	11	22	30	6	15
4	50	47	26	13	20	14	33	1
5	4	17	25	44	2	9	-1
6	18	36	40	11

	A	B	C	D	E	F	G	H
1	12	10	17	21	25	31	19	5
2	4	37	8	18	0	13	15	41
3	9	7	23	11	22	30	6	15
4	50	47	26	13	20	14	33	1
5	4	17	25	44	2	9	-1
6	18	36	40	11