What is a square root regression calculator?

A square root regression calculator fits a model by taking the square root of the y-values to stabilize variance, commonly used for count data or when variance increases with the mean.

How do I use this square root regression calculator?

Enter comma-separated x values (e.g., model years like 2024,2025,2026) and positive y values, then click Calculate. You can also predict for a new x value.

Is this calculator mobile-friendly?

Yes, it's fully responsive and works perfectly on phones, tablets, and desktops.

Does it follow international standards?

Yes, the method aligns with statistical standards used worldwide, including NIST (USA), ISO 3534, Eurostat, and practices in Canada, UK, India, Australia, and many other countries.

Square Root Regression Calculator

This square root regression calculator helps you work with data where variance tends to increase with the mean. It’s widely used in statistics, finance, health research, and science across the world. The tool transforms y-values with a square root, fits a linear model, and back-transforms for predictions.

What is Square Root Regression?

Square root regression is a standard transformation technique. It applies the square root to the dependent variable before fitting a straight line. This approach is especially useful for count data or Poisson-like distributions.

Transforms y to √y to improve linearity and stabilize variance.
Fits the model: √y = a + b × x
Back-transforms predictions: y = (a + b × x)²
Requires y ≥ 0

Aspect	Description
Transformation	Square root of dependent variable
Typical Use	Variance stabilization for counts
Global Acceptance	Aligned with ISO 3534 and national standards

How to Use the Square Root Regression Calculator

Enter your data in the fields below. You can use model years (2024, 2025, 2026, etc.) as x-values and any positive numbers as y-values. The calculator instantly shows the fitted model, R-squared, a prediction (if you provide an x), and an interactive graph.

Type or paste comma-separated values.
Example x: 2024,2025,2026
Example y: 100,121,144
Add a future x (e.g., 2027) for prediction.

Input	Example	Purpose
X Values	2024,2025,2026	Independent variable (e.g., year)
Y Values	100,121,144	Dependent variable (positive numbers)
Predict X	2027	Forecast y for new x

Results

Data stays in your browser • Works offline after first load • Fully responsive design

Advanced Features

This square root regression calculator includes modern features for better insight: interactive graphing, instant predictions, and goodness-of-fit measures.

Interactive Chart.js graph with data points and fitted curve
R-squared on transformed scale
Single-value prediction for any new x
Handles up to 200 data points smoothly

Feature	Benefit
Graph	Visualize fit and trend
Prediction	Forecast future values
R-squared	Measure model quality

Global Standards and Applications

The square root transformation is accepted worldwide in statistical practice and complies with guidelines from many countries and organizations.

USA: Follows NIST recommendations for variance-stabilizing transforms
Europe: Consistent with Eurostat methods
International: ISO 3534 statistics standard
Used in Canada, UK, India, Australia, Japan, and beyond

Region/Country	Standard Body	Application Example
USA	NIST	Health and finance data
Europe	Eurostat	Rate analysis
Worldwide	ISO	General statistical modeling

Comparison with Other Models

Square root regression sits between simple linear and more complex transforms.

Linear: Assumes constant variance
Square Root: Good for variance proportional to mean
Log: Better for multiplicative effects

Model	When to Use	Transformation
Linear	Constant variance	None
Square Root	Count/rate data	√y
Log	Exponential growth	log(y)

You can use the Logistic Regression Power Calculator for specific analyses, or explore the full Regression Calculator category to access all regression tools in one place.