Difference between revisions of "Documentation/How Tos/Calc: LINEST function"
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− | + | {{DISPLAYTITLE:LINEST function}} | |
+ | {{Documentation/CalcFunc ArraysTOC | ||
+ | |ShowPrevNext=block | ||
+ | |PrevPage=Documentation/How_Tos/Calc:_GROWTH_function | ||
+ | |NextPage=Documentation/How_Tos/Calc:_LOGEST_function | ||
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== LINEST == | == LINEST == | ||
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: if <tt>'''allow_const'''</tt> is <tt>'''FALSE'''</tt> the straight line found is forced to pass through the origin (the constant ''a'' is zero; ''y'' = ''bx''). If omitted, <tt>'''allow_const'''</tt> defaults to <tt>'''TRUE'''</tt> (the line is not forced through the origin). | : if <tt>'''allow_const'''</tt> is <tt>'''FALSE'''</tt> the straight line found is forced to pass through the origin (the constant ''a'' is zero; ''y'' = ''bx''). If omitted, <tt>'''allow_const'''</tt> defaults to <tt>'''TRUE'''</tt> (the line is not forced through the origin). | ||
− | : <tt>'''LINEST'''</tt> returns a table (array) of statistics as below and must be entered as an [[Documentation/How_Tos/Using Arrays|array formula]] (for example by using | + | : <tt>'''LINEST'''</tt> returns a table (array) of statistics as below and must be entered as an [[Documentation/How_Tos/Using Arrays|array formula]] (for example by using {{key|Cntrl|Shift|Enter}} rather than just {{key|Enter}}) |
: If <tt>'''stats'''</tt> is omitted or <tt>'''FALSE'''</tt> only the top line of the statistics table is returned. If <tt>'''TRUE'''</tt> the entire table is returned. | : If <tt>'''stats'''</tt> is omitted or <tt>'''FALSE'''</tt> only the top line of the statistics table is returned. If <tt>'''TRUE'''</tt> the entire table is returned. | ||
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* Empty cells in the output array show <tt>'''#N/A'''</tt> (in Calc and Excel). | * Empty cells in the output array show <tt>'''#N/A'''</tt> (in Calc and Excel). | ||
− | {{ | + | {{SeeAlso|EN| |
* [[Documentation/How_Tos/Calc: LOGEST function|LOGEST]] | * [[Documentation/How_Tos/Calc: LOGEST function|LOGEST]] | ||
* [[Documentation/How_Tos/Calc: TREND function|TREND]] | * [[Documentation/How_Tos/Calc: TREND function|TREND]] |
Latest revision as of 11:07, 30 January 2024
LINEST
Returns a table of statistics for a straight line that best fits a data set.
Syntax:
LINEST(yvalues; xvalues; allow_const; stats)
- yvalues is a single row or column range specifying the y coordinates in a set of data points.
- xvalues is a corresponding single row or column range specifying the x coordinates. If xvalues is omitted it defaults to 1, 2, 3, ..., n. If there is more than one set of variables xvalues may be a range with corresponding multiple rows or columns.
- LINEST finds a straight line y = a + bx that best fits the data, using linear regression (the "least squares" method). With more than one set of variables the straight line is of the form y = a + b1x1 + b2x2 ... + bnxn.
- if allow_const is FALSE the straight line found is forced to pass through the origin (the constant a is zero; y = bx). If omitted, allow_const defaults to TRUE (the line is not forced through the origin).
- LINEST returns a table (array) of statistics as below and must be entered as an array formula (for example by using Cntrl + ⇧ Shift + ↵ Enter rather than just ↵ Enter )
- If stats is omitted or FALSE only the top line of the statistics table is returned. If TRUE the entire table is returned.
- b1 to bn are the line gradients; a is the y-axis intercept.
- σ1 to σn are the standard error values for the line gradients; σa is the standard error value for the y-axis intercept.
- r2 is the determination coefficient (RSQ); σy is the standard error value for the y estimate.
- F is the F statistic (F-observed value); df is the number of degrees of freedom.
- ssreg is the regression sum of squares; ssresid is the residual sum of squares.
Example:
- In the example above, cells A2:B8 contain the x,y values for a set of points. LINEST(B2:B8;A2:A8;1;1) returns the statistics for the best fit line through those points.
- In the example above, you measure the floor area and count the windows of a sample of houses in the area, and make a table with the corresponding sale value (cells A2:C8). To predict the value of other houses in the area you might use: value = a + b1*floor_area + b2*num_windows, where a, b1 and b2 are constants. LINEST(A2:A8;B2:C8;1;1) returns appropriate statistics for that equation.
Issues:
- You need a good understanding of the statistics involved.
- Empty cells in the output array show #N/A (in Calc and Excel).
See Also