Statistical
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=TREND()
The TREND function returns values along a linear trend. It fits a straight line (using the method of least squares) to the array's known_y's and known_x's. TREND returns the y-values along that line for the array of new_x's that you specify.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=TREND(known_y's, [known_x's], [new_x's], [const])
Hover argument names in the table for details.
Output typeArray
Popularity30 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
known_y's |
Range | Required | The set of y-values you already know in the relationship y = mx + bIf 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. |
known_x's |
Range | Optional | An optional set of x-values that you may already know in the relationship y = mx + bThe 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 (that is, 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. |
new_x's |
Range | Optional | New x-values for which you want TREND to return corresponding y-valuesNew_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. |
const |
Logical | Optional | A logical value specifying whether to force the constant b to equal 0If const is TRUE or omitted, b is calculated normally.If const is FALSE, b is set equal to 0 (zero), and the m-values are adjusted so that y = mx. |
▣ Examples
Example 1
=TREND(B2:B13, A2:A13, A14:A16)
Example 2
=TREND(B2:B13, A2:A13)
✦ Tips
- For information about how Microsoft Excel fits a line to data, see LINEST.
- You can use TREND for polynomial curve fitting by regressing against the same variable raised to different powers. For example, suppose column A contains y-values and column B contains x-values. You can enter x^2 in column C, x^3 in column D, and so on, and then regress columns B through D against column A.
- Formulas that return arrays must be entered as array formulas with Ctrl+Shift+Enter, unless you have a current version of Microsoft 365, and then you can just press Enter.
- 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.
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