Difference between revisions of "Documentation/How Tos/Calc: SLOPE function"

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: <i>Advanced topic:</i>
 
: <i>Advanced topic:</i>
: The parameters <tt>'''xvalues'''</tt> and <tt>'''yvalues'''</tt> are always evaluated as [[Documentation/How_Tos/Using Arrays|array formulas]].
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: The parameters <tt>'''xvalues'''</tt> and <tt>'''yvalues'''</tt> are always evaluated as * [[Documentation/How_Tos/Using Arrays|array formulas]].
  
 
=== Example: ===
 
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: where the x values in A2:A6 are 1, 2, 3, 4, 5 and the y values in B2:B6 are 2, 4, 6, 8, 11 returns <tt>'''2.2'''</tt>. The equation of the straight line found is very nearly <i>y</i> = 2<i>x</i> - thus the slope is very nearly (but not quite) 2.
 
: where the x values in A2:A6 are 1, 2, 3, 4, 5 and the y values in B2:B6 are 2, 4, 6, 8, 11 returns <tt>'''2.2'''</tt>. The equation of the straight line found is very nearly <i>y</i> = 2<i>x</i> - thus the slope is very nearly (but not quite) 2.
  
=== See also: ===
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{{Documentation/SeeAlso|
[[Documentation/How_Tos/Calc: FORECAST function|'''FORECAST''']],
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* [[Documentation/How_Tos/Calc: FORECAST function|FORECAST]],
[[Documentation/How_Tos/Calc: INTERCEPT function|'''INTERCEPT''']],
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* [[Documentation/How_Tos/Calc: INTERCEPT function|INTERCEPT]],
[[Documentation/How_Tos/Calc: STEYX function|'''STEYX''']]
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* [[Documentation/How_Tos/Calc: STEYX function|STEYX]]
  
[[Documentation/How_Tos/Using Arrays|'''Array formulas''']]
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* [[Documentation/How_Tos/Using Arrays|Array formulas]]
  
[[Documentation/How_Tos/Calc: Statistical functions|'''Statistical functions''']]
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* [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]]
  
[[Documentation/How_Tos/Calc: Functions listed alphabetically|'''Functions listed alphabetically''']],
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
[[Documentation/How_Tos/Calc: Functions listed by category|'''Functions listed by category''']]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}

Revision as of 14:18, 25 February 2009


SLOPE

Fits a straight line to data using linear regression and returns its slope.

Syntax:

SLOPE(yvalues; xvalues)

yvalues and xvalues are single row or column ranges specifying points in a set of data. yvalues and xvalues must be the same size.
SLOPE fits a straight line through these data points, using the linear regression method (least squares). It then returns the slope of that line.
The equation of a straight line may be given as y = a + bx. The linear regression method calculates:
Calc linregress b.png
and
Calc linregress a.png.
b is the slope, returned by this function.


Advanced topic:
The parameters xvalues and yvalues are always evaluated as * array formulas.

Example:

SLOPE(B2:B6; A2:A6)

where the x values in A2:A6 are 1, 2, 3, 4, 5 and the y values in B2:B6 are 2, 4, 6, 8, 11 returns 2.2. The equation of the straight line found is very nearly y = 2x - thus the slope is very nearly (but not quite) 2.

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