Difference between revisions of "Documentation/How Tos/Calc: STEYX function"
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| − | : The parameters <tt>'''xvalues'''</tt> and <tt>'''yvalues'''</tt> are always evaluated as [[Documentation/How_Tos/Using Arrays|array formulas]]. | + | : The parameters <tt>'''xvalues'''</tt> and <tt>'''yvalues'''</tt> are always evaluated as * [[Documentation/How_Tos/Using Arrays|array formulas]]. |
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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, 7, 8, 10 returns approximately <tt>'''0.51'''</tt>. The equation of the straight line found is very nearly <i>y</i> = 2<i>x</i>, and would be if B4 contained 6. The standard error is therefore quite small. | : where the x values in A2:A6 are 1, 2, 3, 4, 5 and the y values in B2:B6 are 2, 4, 7, 8, 10 returns approximately <tt>'''0.51'''</tt>. The equation of the straight line found is very nearly <i>y</i> = 2<i>x</i>, and would be if B4 contained 6. The standard error is therefore quite small. | ||
| − | + | {{Documentation/SeeAlso| | |
| − | [[Documentation/How_Tos/Calc: FORECAST function| | + | * [[Documentation/How_Tos/Calc: FORECAST function|FORECAST]], |
| − | [[Documentation/How_Tos/Calc: INTERCEPT function| | + | * [[Documentation/How_Tos/Calc: INTERCEPT function|INTERCEPT]], |
| − | [[Documentation/How_Tos/Calc: SLOPE function| | + | * [[Documentation/How_Tos/Calc: SLOPE function|SLOPE]] |
| − | [[Documentation/How_Tos/Using Arrays| | + | * [[Documentation/How_Tos/Using Arrays|Array formulas]] |
| − | [[Documentation/How_Tos/Calc: Statistical functions| | + | * [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]] |
| − | [[Documentation/How_Tos/Calc: Functions listed alphabetically| | + | * [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]] |
| − | [[Documentation/How_Tos/Calc: Functions listed by category| | + | * [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}} |
Revision as of 14:19, 25 February 2009
STEYX
Fits a straight line to data using linear regression and returns the standard error of y values.
Syntax:
STEYX(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.
- STEYX in effect fits a straight line through these data points, using the linear regression method (least squares). It then returns the standard error of actual y values compared to y values on the straight line found.
- The equation of a straight line may be given as y = a + bx. The linear regression method calculates:
-
- and
-
.
-
- STEYX calculates:
-
- where yi are the actual values and yi' are the computed values on the line.
- Advanced topic:
- The parameters xvalues and yvalues are always evaluated as * array formulas.
Example:
STEYX(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, 7, 8, 10 returns approximately 0.51. The equation of the straight line found is very nearly y = 2x, and would be if B4 contained 6. The standard error is therefore quite small.
