Statistics
Linear Regression Calculator
Pair two numeric lists to see the slope, intercept, R², and a quick ŷ prediction for whatever X you care about.
Feed paired X and Y values to get slope, intercept, R², and a fast prediction for any X.
Regression Fit
Least-squares line
m = Σ((x − x̄)(y − ȳ)) / Σ(x − x̄)² b = ȳ − m x̄ ŷ = b + mx
The calculator centers your data, computes the best-fit slope m and intercept b, and reports the coefficient of determination R² for that simple linear model.
How to use
- Enter X values separated by commas, spaces, or new lines.
- Enter the matching Y values in the same order and length.
- Optionally set an X value to forecast so the tool returns ŷ for that input.
Example
Input: X = 1, 2, 3, 4, 5; Y = 1.8, 3.2, 4.4, 7.1, 9.0; Predict x = 6
Output: Slope ≈ 1.82, Intercept ≈ 0.04, R² ≈ 0.98, Prediction ≈ 10.0
Student-friendly breakdown
This walkthrough emphasizes the most searched ideas for Linear Regression Calculator: linear regression calculator, line of best fit calculator, least squares calculator, simple linear regression online. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.
Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.
Deep dive & study plan
The Linear Regression Calculator is a go-to tool whenever you need to fits a least-squares line, returns slope/intercept, and predicts any y value.. It focuses on regression, trendline, slope, prediction, which means searchers often arrive with intent-heavy queries like “how to linear regression calculator quickly” or “linear regression calculator formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.
Under the hood, the calculator leans on the calculator centers your data, computes the best-fit slope m and intercept b, and reports the coefficient of determination r² for that simple linear model.—that’s why we surface the full expression (“m = Σ((x − x̄)(y − ȳ)) / Σ(x − x̄)² b = ȳ − m x̄ ŷ = b + mx”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.
Execution matters as much as the math. Follow the built-in procedure: Step 1: Enter X values separated by commas, spaces, or new lines. Step 2: Enter the matching Y values in the same order and length. Step 3: Optionally set an X value to forecast so the tool returns ŷ for that input.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.
The Example section itself is packed with semantic clues: “X = 1, 2, 3, 4, 5; Y = 1.8, 3.2, 4.4, 7.1, 9.0; Predict x = 6” leading to “Slope ≈ 1.82, Intercept ≈ 0.04, R² ≈ 0.98, Prediction ≈ 10.0.” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.
Quick retention checklist
- Speak the formula aloud (or annotate it) so the relationships stick.
- Write each step in your own words and compare with the numbered list above.
- Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
- Link out to at least two related calculators to keep readers exploring your topical hub.
FAQ & notes
What happens if every X value is identical?
Vertical lines cannot be expressed as y = mx + b, so the slope is undefined and the calculator will ask for more varied X values.
Can I enter blanks or text?
Non-numeric tokens are ignored, so you can safely paste spreadsheet columns that contain labels or missing values as long as both lists stay the same length.
What formula does the Linear Regression Calculator use?
The calculator centers your data, computes the best-fit slope m and intercept b, and reports the coefficient of determination R² for that simple linear model.
How do I use the Linear Regression Calculator?
Enter X values separated by commas, spaces, or new lines. Enter the matching Y values in the same order and length. Optionally set an X value to forecast so the tool returns ŷ for that input.