Free Linear Regression Calculator
Best-fit line (y = mx + b) through paired data.
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Inputs
Result
Regression line
y = 1.700x + 1.500
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Short answer
Best-fit line (y = mx + b) through paired data.
What is the Linear Regression Calculator?
Best-fit line (y = mx + b) through paired data.
How does the Linear Regression Calculator work?
Enter the inputs above and read the result.
Formula
Variables
mSlopebIntercept
Explanation
Least-squares regression finds the line minimizing the sum of squared vertical distances to the data points.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Linear Regression Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Linear Regression
Best-fit line (y = mx + b) through paired data. Within math calculators, linear regression belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how linear regression is calculated
Least-squares regression finds the line minimizing the sum of squared vertical distances to the data points. Working through the variables one at a time — m, b — makes the result reproducible by hand and easier to sanity-check.
Using linear regression to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How linear regression compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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