Advanced Excel Statistical - TREND Function

Description

The TREND function returns values along a linear trend. Fits a straight line (using the method of least squares) to the arrays known_y's and known_x's. Returns the y-values along that line for the array of new_x's that you specify.

Syntax

TREND (known_y's, [known_x's], [new_x's], [const])

Arguments

Argument	Description	Required/ Optional
Known_y's	The set of y-values you already know in the relationship y = mx + b. If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable. If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable.	Required
Known_x's	An optional set of x-values that you may already know in the relationship y = mx + b. The array known_x's can include one or more sets of variables. If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known_y's must be a vector (i.e., a range with a height of one row or a width of one column). If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's.	Required
New_x's	New x-values for which you want TREND to return corresponding y-values. New_x's must include a column (or row) for each independent variable, just as known_x's does. So, if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows. If you omit new_x's, it is assumed to be the same as known_x's. If you omit both known_x's and new_x's, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.	Optional
Const	A logical value specifying whether to force the constant b to equal 0. If const is TRUE or omitted, b is calculated normally. If const is FALSE, b is set equal to 0 (zero), and the mvalues are adjusted so that y = mx.	Optional

Notes

Formulas that return arrays must be entered as array formulas.
You can use TREND for polynomial curve fitting by regressing against the same variable raised to different powers.
When entering an array constant for an argument such as known_x's, use commas to separate values in the same row and semicolons to separate rows.
If the known_x's array and the known_y's array are of different lengths, TREND returns #REF! error value.
If any of the values in the supplied known_x's , known_y's or new_x's arrays are non-numeric, TREND returns #VALUE! error value.
If the supplied const argument is not recognized as a logical value, TREND returns #VALUE! error value.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example

advanced_excel_statistical_functions.htm