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

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__NOTOC__
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{{Documentation/MasterTOC
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|bookid=1234'''
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|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Statistical_functions|<div style="font-size: 140%;">Statistical Functions]]
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|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_STEYX_function
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|ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_RSQ_function
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|ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Spreadsheet_functions
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|ShowNextPart=block|NextPart=Documentation/How_Tos/Calc:_Text_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Measures of Central Tendency</div>
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* [[Documentation/How_Tos/Calc:_AVEDEV_function|<div style="font-size: 120%;">Avedev]]
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* [[Documentation/How_Tos/Calc:_AVERAGE_function|<div style="font-size: 120%;">Average]]
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* [[Documentation/How_Tos/Calc:_AVERAGEA_function|<div style="font-size: 120%;">Averagea]]
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* [[Documentation/How_Tos/Calc:_COUNT_function|<div style="font-size: 120%;">Count]]
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* [[Documentation/How_Tos/Calc:_COUNTA_function|<div style="font-size: 120%;">Counta]]
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* [[Documentation/How_Tos/Calc:_GEOMEAN_function|<div style="font-size: 120%;">Geomean]]
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* [[Documentation/How_Tos/Calc:_HARMEAN_function|<div style="font-size: 120%;">Hearmean]]
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* [[Documentation/How_Tos/Calc:_MEDIAN_function|<div style="font-size: 120%;">Median]]
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* [[Documentation/How_Tos/Calc:_MODE_function|<div style="font-size: 120%;">Mode]]
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* [[Documentation/How_Tos/Calc:_TRIMMEAN_function|<div style="font-size: 120%;">Trimmean]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Measures of dispersion / spread</div>
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* [[Documentation/How_Tos/Calc:_DEVSQ_function|<div style="font-size: 120%;">Devsq]]
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* [[Documentation/How_Tos/Calc:_KURT_function|<div style="font-size: 120%;">Kurt]]
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* [[Documentation/How_Tos/Calc:_SKEW_function|<div style="font-size: 120%;">Skew]]
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* [[Documentation/How_Tos/Calc:_STDEV_function|<div style="font-size: 120%;">Stdev]]
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* [[Documentation/How_Tos/Calc:_STDEVA_function|<div style="font-size: 120%;">Stedeva]]
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* [[Documentation/How_Tos/Calc:_STDEVP_function|<div style="font-size: 120%;">Stdevp]]
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* [[Documentation/How_Tos/Calc:_STDEVPA_function|<div style="font-size: 120%;">Stdevpa]]
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* [[Documentation/How_Tos/Calc:_VAR_function|<div style="font-size: 120%;">Var]]
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* [[Documentation/How_Tos/Calc:_VARA_function|<div style="font-size: 120%;">Vara]]
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* [[Documentation/How_Tos/Calc:_VARP_function|<div style="font-size: 120%;">Varp]]
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* [[Documentation/How_Tos/Calc:_VARPA_function|<div style="font-size: 120%;">Varpa]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Probability and statistics</div>
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* [[Documentation/How_Tos/Calc:_B_function|<div style="font-size: 120%;">B]]
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* [[Documentation/How_Tos/Calc:_BETADIST_function|<div style="font-size: 120%;">Betadist]]
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* [[Documentation/How_Tos/Calc:_BETAINV_function|<div style="font-size: 120%;">Betainv]]
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* [[Documentation/How_Tos/Calc:_BINOMDIST_function|<div style="font-size: 120%;">Binomdist]]
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* [[Documentation/How_Tos/Calc:_CHIDIST_function|<div style="font-size: 120%;">Chidist]]
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* [[Documentation/How_Tos/Calc:_CHIINV_function|<div style="font-size: 120%;">Chiinv]]
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* [[Documentation/How_Tos/Calc:_CHISQINV_function|<div style="font-size: 120%;">Chisqinv]]
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* [[Documentation/How_Tos/Calc:_CHITEST_function|<div style="font-size: 120%;">Chitest]]
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* [[Documentation/How_Tos/Calc:_CONFIDENCE_function|<div style="font-size: 120%;">Confidence]]
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* [[Documentation/How_Tos/Calc:_CRITBINOM_function|<div style="font-size: 120%;">Critbinom]]
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* [[Documentation/How_Tos/Calc:_EXPONDIST_function|<div style="font-size: 120%;">Expondist]]
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* [[Documentation/How_Tos/Calc:_FINV_function|<div style="font-size: 120%;">Finv]]
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* [[Documentation/How_Tos/Calc:_FISHER_function|<div style="font-size: 120%;">Fisher]]
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* [[Documentation/How_Tos/Calc:_FISHERINV_function|<div style="font-size: 120%;">Fisherinv]]
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* [[Documentation/How_Tos/Calc:_FDIST_function|<div style="font-size: 120%;">Fdist]]
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* [[Documentation/How_Tos/Calc:_FTEST_function|<div style="font-size: 120%;">Ftest]]
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* [[Documentation/How_Tos/Calc:_GAMMA_function|<div style="font-size: 120%;">Gamma]]
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* [[Documentation/How_Tos/Calc:_GAMMAINV_function|<div style="font-size: 120%;">Gammainv]]
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* [[Documentation/How_Tos/Calc:_GAMMALN_function|<div style="font-size: 120%;">Gammaln]]
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* [[Documentation/How_Tos/Calc:_GAMMADIST_function|<div style="font-size: 120%;">Gammadist]]
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* [[Documentation/How_Tos/Calc:_GAUSS_function|<div style="font-size: 120%;">Gauss]]
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* [[Documentation/How_Tos/Calc:_HYPGEOMDIST_function|<div style="font-size: 120%;">Hypgeomdist]]
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* [[Documentation/How_Tos/Calc:_LOGINV_function|<div style="font-size: 120%;">Loginv]]
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* [[Documentation/How_Tos/Calc:_LOGNORMDIST_function|<div style="font-size: 120%;">Lognormdist]]
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* [[Documentation/How_Tos/Calc:_NEGBINOMDIST_function|<div style="font-size: 120%;">Negbinomdist]]
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* [[Documentation/How_Tos/Calc:_NORMINV_function|<div style="font-size: 120%;">Norminv]]
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* [[Documentation/How_Tos/Calc:_NORMDIST_function|<div style="font-size: 120%;">Normdist]]
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* [[Documentation/How_Tos/Calc:_NORMSINV_function|<div style="font-size: 120%;">Normsinv]]
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* [[Documentation/How_Tos/Calc:_NORMSDIST_function|<div style="font-size: 120%;">Normsdist]]
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* [[Documentation/How_Tos/Calc:_PERMUT_function|<div style="font-size: 120%;">Permut]]
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* [[Documentation/How_Tos/Calc:_PERMUTATIONA_function|<div style="font-size: 120%;">Permutationa]]
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* [[Documentation/How_Tos/Calc:_PHI_function|<div style="font-size: 120%;">Phi]]
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* [[Documentation/How_Tos/Calc:_POISSON_function|<div style="font-size: 120%;">Poisson]]
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* [[Documentation/How_Tos/Calc:_PROB_function|<div style="font-size: 120%;">Prob]]
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* [[Documentation/How_Tos/Calc:_STANDARDIZE_function|<div style="font-size: 120%;">Standardize]]
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* [[Documentation/How_Tos/Calc:_TDIST_function|<div style="font-size: 120%;">Tdist]]
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* [[Documentation/How_Tos/Calc:_TINV_function|<div style="font-size: 120%;">Tinv]]
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* [[Documentation/How_Tos/Calc:_TTEST_function|<div style="font-size: 120%;">Ttest]]
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* [[Documentation/How_Tos/Calc:_WEIBULL_function|<div style="font-size: 120%;">Weibull]]
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* [[Documentation/How_Tos/Calc:_ZTEST_function|<div style="font-size: 120%;">Ztest]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Correlation and line fitting</div>
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* [[Documentation/How_Tos/Calc:_CORREL_function|<div style="font-size: 120%;">Correl]]
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* [[Documentation/How_Tos/Calc:_COVAR_function|<div style="font-size: 120%;">Covar]]
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* [[Documentation/How_Tos/Calc:_FORECAST_function|<div style="font-size: 120%;">Forecast]]
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* [[Documentation/How_Tos/Calc:_INTERCEPT_function|<div style="font-size: 120%;">Intercept]]
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* [[Documentation/How_Tos/Calc:_PEARSON_function|<div style="font-size: 120%;">Pearson]]
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* [[Documentation/How_Tos/Calc:_RSQ_function|<div style="font-size: 120%;">Rsq]]
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* [[Documentation/How_Tos/Calc:_SLOPE_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Slope]]
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* [[Documentation/How_Tos/Calc:_STEYX_function|<div style="font-size: 120%;">Steyx]]
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<div style="font-size: 110%;">''See also (in the [[Documentation/How_Tos/Calc:_Array_functions|Array Function]] category); GROWTH, LINEST, LOGEST, TREND''</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Ranking</div>
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* [[Documentation/How_Tos/Calc:_LARGE_function|<div style="font-size: 120%;">Large]]
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* [[Documentation/How_Tos/Calc:_MAX_function|<div style="font-size: 120%;">Max]]
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* [[Documentation/How_Tos/Calc:_MAXA_function|<div style="font-size: 120%;">Maxa]]
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* [[Documentation/How_Tos/Calc:_MIN_function|<div style="font-size: 120%;">Min]]
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* [[Documentation/How_Tos/Calc:_MINA_function|<div style="font-size: 120%;">Mina]]
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* [[Documentation/How_Tos/Calc:_PERCENTILE_function|<div style="font-size: 120%;">Percentile]]
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* [[Documentation/How_Tos/Calc:_PERCENTRANK_function|<div style="font-size: 120%;">Percentrank]]
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* [[Documentation/How_Tos/Calc:_QUARTILE_function|<div style="font-size: 120%;">Quartile]]
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* [[Documentation/How_Tos/Calc:_RANK_function|<div style="font-size: 120%;">Rank]]
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* [[Documentation/How_Tos/Calc:_SMALL_function|<div style="font-size: 120%;">Small]]
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}}__TOC__
  
 
== SLOPE ==
 
== SLOPE ==
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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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{{SeeAlso|EN|
[[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]]
 
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* [[Documentation/How_Tos/Using Arrays|Array formulas]]
[[Documentation/How_Tos/Using Arrays|'''Array formulas''']]
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* [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]]
 
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
[[Documentation/How_Tos/Calc: Statistical functions|'''Statistical functions''']]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
 +
[[Category: Documentation/Reference/Calc/Statistical functions]]

Latest revision as of 09:15, 17 July 2018


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.



See Also
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