Linear Regression Calculator

Linear Regression Calculator helps you calculate slope, intercept, and R² for a simple linear regression. Use this free browser-based calculator from XTRAW Tools to compare inputs, estimate results, and plan your next step.

How to Use the Linear Regression Calculator

1. Enter the required calculator inputs shown in the form.
2. Review the probability, distribution, dataset, contingency table, correlation, regression, or diagnostic assumptions.
3. Run the calculator, then adjust one input at a time to compare scenarios or check your estimate.

What This Calculator Helps With

Calculate slope, intercept, and R² for a simple linear regression. It is designed for students, teachers, analysts, researchers, marketers, data users, and anyone working with paired data who want a fast, browser-based estimate before relying on a spreadsheet, textbook, analytics platform, research software, professional source, or specialist.

• X values (comma separated): 1, 2, 3, 4, 5, 6, 7
• Y values (comma separated): 2.1, 3.9, 6.2, 7.8, 9.5, 12.1, 14.0
• Predict Y at X = (optional)

Common Uses

People use this calculator when they need a quick way to estimate correlation, regression relationships, trend lines, or paired-data summaries.

• Math Solving: Solve probability, statistics, distribution, regression, diagnostic, or classroom problems from entered values.
• Measurement: Measure sensitivity, specificity, predictive values, correlation, probabilities, distribution values, or model estimates.
• Project Planning: Plan research, surveys, lessons, experiments, dashboards, probability scenarios, or analysis workflows using transparent formulas.
• Data Conversion: Convert paired data into correlation, slope, intercept, R², and other statistical summaries.

Formula or Method

y = mx + b; m = Σ(x−x̄)(y−ȳ) / Σ(x−x̄)²; R² = r²

Example

Example inputs: X values (comma separated): 1, 2, 3, 4, 5, 6, 7; Y values (comma separated): 2.1, 3.9, 6.2, 7.8, 9.5, 12.1, 14.0; Predict Y at X = (optional)

Example result: Using the default paired data, the regression line is y = 1.979x + 0.029, with R² = 0.9971.

Related Tools

• Descriptive Statistics Calculator
• Standard Error Calculator
• Z Score Calculator
• Normal Distribution Calculator
• Confidence Interval Calculator
• Percentile Calculator

Linear Regression Calculator FAQ

Is the Linear Regression Calculator free?

Yes. This calculator is free to use on XTRAW Tools.

Do I need to create an account?

No. XTRAW tools are designed for browser-based use without requiring an account.

Are the results exact?

Results may be estimates depending on the inputs, formula, rounding, statistical method, probability model, and purpose of the calculator. Always verify important results before relying on them.

Disclaimer: This calculator is provided for general informational, educational, and convenience purposes only. It is not legal, financial, medical, academic, research, statistical consulting, analytics, or professional advice. Always verify important results with a qualified professional, instructor, statistician, researcher, analytics platform, or authoritative source before making decisions.