Skip to main content

Linear Regression Calculator

Math Calculators

Least squares fit, scatter plot, r²

Quick Answer

Linear Regression Calculator: Least squares fit, scatter plot, r². Linear Regression Calculator uses standard math formulas to compute accurate results instantly.

Parsed 6 points (need ≥2)

Best fit line (least squares)

y = 53.533 + 3.543x

r = 0.9985（very strong）· R² = 0.9969

Slope b3.5429
Intercept a53.5333
r0.9985
R²0.9969

Scatter & fit

Predict y for x

ŷ

78.333

Least squares steps

  1. 1n = 6；Σx = 42.00；Σy = 470.00
  2. 2Σxy = 3538.00；Σx² = 364.00
  3. 3b = (n·Σxy − Σx·Σy) ÷ (n·Σx² − (Σx)²) = 3.5429
  4. 4a = (Σy − b·Σx) ÷ n = 53.5333
  5. 5R² = 0.9969 — the line explains 99.7% of variance

💡 Least squares minimizes Σ(y − ŷ)². R² near 1 = strong fit; near 0 = the line explains nothing. Correlation ≠ causation — a strong r only means co-movement. Prediction outside the data range (extrapolation) is unreliable.

Was this tool helpful?

Average 5 · 1 rating

How to Use

  1. Enter values or expressions: type directly into the Linear Regression Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Linear Regression Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Least squares fit, scatter plot, r².
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Linear Regression Calculator formula

Linear Regression Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Linear Regression Calculator?
Open the page and fill in the input fields — results update automatically. Least squares fit, scatter plot, r².
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

Related Tools

Related Guides

Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Linear Regression Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/linear-regression

Results provided by this tool are for reference only and do not constitute professional advice.