Formula Errors

How to Fix Excel LINEST #VALUE! Error for a Fourth-Degree Polynomial

Jason MillerJason Miller Oct 22, 2026 870 views

Question details

The user encounters a #VALUE! error when calculating a fourth-degree polynomial using the LINEST function due to incorrect regional array separators.

Fixing the Excel LINEST #VALUE! Error for Fourth-Degree Polynomials
Product
Excel
Device & OS
not provided
Scenario
Attempting to generate regression statistics for a fourth-degree polynomial using the LINEST function with an inline exponent array.
Observed behavior
The formula returns a #VALUE! error instead of the expected regression coefficients and statistics.
Before you start

Verify your system's regional language settings, as this dictates whether your default list separator is a comma, semicolon, or backslash, directly affecting array constant syntax.

Solution 1Recommended

Adjust Array Constant Syntax Based on Regional Settings

Fix the formula syntax by updating the array separators to match your system's regional configuration, preventing Excel from misinterpreting the array constant.

The #VALUE! error often occurs because the inline array used for the polynomial exponents (e.g., {1,2,3,4}) uses the wrong separator for your specific locale.

In many European regions where the comma is used as a decimal mark, Excel requires a backslash (\) for row separators in array constants and semicolons (;) for function arguments.

1
Select the error cell

Click on the cell containing the LINEST formula that is currently returning the #VALUE! error.

2
Identify the exponent array

Look at the exponent portion of your formula in the formula bar, typically written as ^{1,2,3,4}.

3
Update the array separators

Change the commas within the curly brackets to the correct regional separator. For many regions, use a backslash so the array becomes ^{1\2\3\4}.

4
Update argument separators

Ensure the main arguments of the function are separated by semicolons (if applicable to your locale), updating the formula to look like: =LINEST(L6:L20;M6:M20^{1\2\3\4};TRUE;TRUE).

5
Apply as an array formula

Press Ctrl+Shift+Enter to execute the formula correctly across multiple cells if you are using an older version of the software without dynamic arrays.

Adjust Array Constant Syntax Based on Regional Settings
Syntax Check: If the backslash doesn't resolve the error, try using a comma (,) or dot (.) depending on your exact Windows regional settings.
Advanced Statistical Tool

Use WPS Spreadsheet for Accurate Polynomial Regression

WPS Spreadsheet fully supports advanced statistical functions like LINEST. It handles complex array formulas efficiently and offers seamless compatibility with Excel formulas, making polynomial regression calculations easy and accurate.

  1. 1. Open your dataset: Launch WPS Spreadsheet and open the document containing your X and Y data points.
  2. 2. Select the output range: Highlight a 5-column by 5-row grid of empty cells where you want the fourth-degree polynomial regression statistics to appear.
  3. 3. Enter the LINEST formula: Type the formula =LINEST(Y_range, X_range^{1,2,3,4}, TRUE, TRUE) in the formula bar, ensuring you use the correct separators for your region.
  4. 4. Execute the array formula: Press Ctrl+Shift+Enter to evaluate the function as an array, immediately populating the selected grid with your regression coefficients and stats.
Fully compatible with Microsoft Excel (.xlsx) formats and standard array formulas.Supports advanced statistical functions including LINEST, LOGEST, and TREND natively.Free, lightweight, and fast at processing complex mathematical datasets.Intuitive UI that makes editing array functions and managing formulas simple.
microsoft office alternative - wps office

Frequently Asked Questions

Why does the LINEST function commonly return a #VALUE! error?

The #VALUE! error in LINEST is typically caused by mismatched dimensions in your X and Y ranges, non-numeric data within the selected ranges, or incorrect syntax in the array constant used to define the polynomial degree.

How do I know which array separator to use in my formula?

Your array separator depends on your computer's Regional Settings. Generally, systems using a comma as a decimal separator (like in many European countries) require a backslash (\) for horizontal array constants, while US-based settings use a comma (,).

How many cells should I select for a fourth-degree polynomial LINEST output?

To view all regression statistics for a fourth-degree polynomial, you must pre-select a range of 5 columns (one for each exponent plus the y-intercept) and 5 rows, creating a 25-cell (5x5) grid before entering your array formula.