Contact
12 programs
Explore the site

Zoho Sheet LINEST Function: Regression Coefficients and Statistics

Statistical Advanced Zoho Sheet

Learn Zoho Sheet LINEST syntax, slope and intercept, full regression statistics, examples, errors, and compatibility cautions.

Verification status: Official documentation referenced; example outcomes independently reasoned or arithmetically checked where stated. Not executed in Zoho Sheet. How formula examples are checked

Quick answer: =LINEST(B2:B7;A2:A7) fits a straight line through the numerical pairs in rows 2–7, where B contains known dependent values (y) and A contains corresponding independent values (x). With the six-week example below, the mathematical slope is 1.285714286 and intercept 1.666666667. Zoho documents LINEST as an array-returning function, so reserve clear output cells rather than assuming one scalar appears. The slope describes predicted orders gained per additional week; the intercept describes the fitted value at week zero, not actual recorded demand. Official Zoho LINEST reference, checked 2026-10-12.

LINEST is most useful when you need the model itself (slope, intercept, optionally regression diagnostics), rather than a single predicted value. A fitted line summarizes a historical linear relationship; it does not demonstrate that time caused demand to increase or guarantee that future observations will match.

Official syntax, types and defaults

LINEST(y_values; [x_values]; [allow_const]; [stats])
Argument Required? Zoho-documented meaning and type Default in Zoho’s reference
y_values Yes Numeric array or range of observed dependent y-values. For example, B2:B7. None.
x_values No Numeric array or range of the independent x-values, paired with the y-values; Zoho says it must have the same size as the y input. Sequence {1;2;3;...} in concept (the official documentation shows {1,2,3...}).
allow_const No Logical or 1/0 switch. TRUE / 1 estimates an intercept. FALSE / 0 forces intercept b=0. 1 (TRUE).
stats No Logical or 1/0 switch. TRUE / 1 requests extra regression statistics. FALSE / 0 returns coefficients without the expanded statistics. 0 (FALSE).

Zoho’s English help writes semicolons between function arguments. Your own input editor may use a locale-specific separator; follow the syntax suggested by Zoho Sheet in your account. Do not substitute semicolons inside numeric arrays solely because the formula uses semicolon argument separators. There is no documented first-supported Zoho Sheet product version, desktop-equivalence matrix, or mobile edition minimum on the cited help page. This guide describes the checked current public cloud-service documentation, not an assertion of universal historical or platform availability. Zoho LINEST syntax and defaults, checked 2026-10-12.

Argument order matters: Zoho puts dependent y_values first. This is the reverse of the common table presentation (x first, then y); swapping ranges fits a different equation. Square brackets above indicate optional arguments in the documentation, not characters to type.

Step-by-step: fit six weeks of order counts

Enter these values in a fresh sheet. Keep the cells numerical, with row 1 as headings.

Row A — Week (x) B — Orders (y)
1 Week Orders
2 1 3
3 2 5
4 3 4
5 4 8
6 5 7
7 6 10
  1. Click a blank cell with available space to its right and below, such as D2.
  2. Enter =LINEST(B2:B7;A2:A7) using your locale’s function-argument separators.
  3. Read the coefficient results according to the array output. The independently computed slope is 1.285714286; the independently computed intercept is 1.666666667. These figures are the expected statistical parameters; their exact rendered cell layout has not been tested in Zoho Sheet.
  4. Reconstruct the predicted orders for week seven: slope × 7 + intercept = 10.666666667. To predict directly from the same data, compare with =FORECAST(7;B2:B7;A2:A7) or =TREND(B2:B7;A2:A7;7) in a separate cell.

The calculations behind these numbers are transparent:

  • Mean week = 3.5; mean orders = 6.166666667.
  • Sum of squared week deviations = 17.5.
  • Sum of paired week/order deviations = 22.5.
  • Slope = 22.5 / 17.5 = 9/7 ≈ 1.285714286.
  • Intercept = 6.166666667 − (9/7 × 3.5) = 5/3 ≈ 1.666666667.

The result is a best-fit line, not a curve that necessarily passes through every observation. The original six values fluctuate above and below it. Official Zoho LINEST, checked 2026-10-12; calculations independently checked.

Omit x_values only when consecutive positions are intended

For this particular dataset, the formula =LINEST(B2:B7) requests Zoho’s documented implicit x-sequence. Because the weeks happen to be 1 through 6, its mathematical fit should agree with the explicit-range version. If rows instead contain irregular dates, skipped measurement periods, or actual prices, do not omit x_values: an implicit 1,2,3,… sequence changes the regression question.

Force the line through zero only for a defensible reason

Try =LINEST(B2:B7;A2:A7;FALSE;FALSE) in separate clear output cells. The regression-through-origin expected slope is Σ(xy)/Σ(x²) = 152/91 = 1.670329670, with intercept exactly 0 by model design. This is not interchangeable with the ordinary slope: its week-seven projection would be 11.692307692. Forcing zero makes sense only when a zero predictor must correspond to a zero response for reasons independent of the dataset. It is not a way to make an unwanted intercept disappear without changing the model. Official Zoho LINEST allow_const, checked 2026-10-12; arithmetic independently checked.

Advanced application: request full regression diagnostics

Enter the expanded option separately, leaving generous empty output space:

=LINEST(B2:B7;A2:A7;TRUE;TRUE)

Zoho documents additional values for standard errors, coefficient of determination (r²), standard error of the y estimate (sey), F statistic, degrees of freedom (df), regression sum of squares (ssreg) and residual sum of squares (ssresid). With one predictor and an intercept, the following table is the independently calculated statistical model, not a screenshot or confirmed Zoho spill layout:

Statistic Expected value Interpretation
Slope m 1.285714286 Fitted orders per week
Intercept b 1.666666667 Fitted orders at week zero
Standard error of slope 0.290437156 Estimation uncertainty for coefficient
Standard error of intercept 1.131090217 Estimation uncertainty for baseline
r² 0.830485304 Fraction of in-sample variance explained by this linear fit
sey 1.214985793 Residual standard error of fitted y
F 19.596774194 Regression F statistic, for this one-predictor case
df 4 Six observations minus two fitted parameters
ssreg 28.928571429 Explained sum of squares
ssresid 5.904761905 Residual sum of squares

The calculations use ordinary least squares with an intercept and the conventional one-predictor formulas: MSE = ssresid/(6−2), sey = √MSE, SE(slope)=√(MSE/Sxx), and r²=ssreg/(ssreg+ssresid). The F statistic for a single predictor is ssreg/MSE. These are independent statistical reference values; native Zoho output layout, formatting, rounding and exceptional-case rules remain to be checked. If diagnostics disagree in Zoho, first verify the formula settings and source pairs before assuming an application bug. Zoho LINEST statistics list, checked 2026-10-12.

Practical decision: model quality before extrapolation

r²≈0.83 reflects a reasonably strong fit within these six observations, but it is not an 83% chance that future orders will match the predictions. The standard error is measured in the same unit as the response—orders—not a percent. Compare actual and fitted orders on a scatter chart, inspect residual patterns and unusual weeks, and use business knowledge before forecasting staffing or inventory. Regression is not automatically suitable for seasonal, step-change or autocorrelated series.

Arrays, spill space and the result shape

Zoho announces dynamic array formulas: an array-returning formula can spill into adjacent cells, and a blocked destination can display #SPILL!. Clear nearby output cells if necessary. That product-wide announcement provides general behaviour, but it does not independently establish the exact spill orientation for every LINEST option and locale. Microsoft explicitly describes multi-predictor coefficient order in reverse variable order; Zoho’s individual LINEST help lists m1,m2,...,mn but does not provide an equivalently detailed multiple-regressor dimension/order example. Do not copy an Excel output layout into a Zoho implementation without testing it. Zoho dynamic arrays and Zoho LINEST, checked 2026-10-12.

Common errors and troubleshooting

Symptom Likely cause Practical check
#NAME! Mistyped function, name, or separator Re-enter LINEST, confirm separators offered by your sheet, and avoid quotation marks around ranges. Zoho documents the general meaning.
#REF! Broken or deleted reference Re-select the original cell ranges. Zoho documents this category.
#VALUE! Wrong argument type Check numeric inputs, logical switches and imported text-as-number cells. Zoho lists this general error; exact mixed-data coercion for LINEST was not established by the reference.
#N/A! or unexpected array items Input shape, insufficient information, or output layout Compare x and y dimensions; use clean numerical pairs. The Zoho error list is generic and does not prove a specific LINEST trigger.
#SPILL! Output cells occupied Move the formula to an unobstructed area or clear blocked cells; this is supported by Zoho’s product-wide dynamic-array documentation.
Coefficients seem reversed or implausible Swapped x/y ranges, dates used as text, or wrong source Confirm y first and x second; inspect a scatter plot.
Unstable statistics Too few independent observations or duplicated predictors Add meaningful observations; test one predictor first. Exact degenerate-case handling requires native verification.

In particular, avoid silently assuming that Zoho ignores blanks, text, or errors in exactly the same fashion as Microsoft or Google. If blanks appear in either column, first make a clean, paired dataset so each x still refers to the correct y. Zoho LINEST errors, checked 2026-10-12.

Cross-software compatibility: what is verified

Product Independently checked official signature Difference worth watching
Zoho Sheet LINEST(y_values; [x_values]; [allow_const]; [stats]) Zoho’s article uses semicolon separators and describes allow_const=1, stats=0 defaults.
Excel LINEST(known_y's, [known_x's], [const], [stats]) Microsoft documents multi-x coefficient reverse order and Excel-specific collinearity/legacy array handling. Those details cannot be transplanted into Zoho automatically.
Google Sheets LINEST(known_data_y, [known_data_x], [calculate_b], [verbose]) Different argument labels and documented reverse order for multiple independent variables; punctuation may differ by spreadsheet locale.

Microsoft and Google establish their own behaviour only. Names and broad mathematics agree, but error behaviour, unsupported editions, complex arrays, coefficient ordering and numerical edge cases are not verified identical. See the Microsoft LINEST reference and Google Sheets LINEST reference, both checked 2026-10-12.

Validation: Official documentation researched 2026-10-12; all example constants and statistics calculated independently by Python arithmetic on the displayed six numeric pairs; no Zoho workbook executed, no native array orientation verified, no screenshots claimed, no account/device/version parity inferred.