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Residual plot generator

Paste paired X and Y values to fit a line and inspect errors against fitted values.

Residual RMSE: —

Fill in the fields above — the result is computed on this page.

Pairs
—
Intercept b₀
—
Slope b₁
—
R-squared
—
Mean residual
—
Largest |residual|
—

Residuals versus fitted values

Random scatter around zero supports a linear model; curvature or widening spread indicates structure that the line misses.

Fit and residuals

Row X Y Fitted ŷ Residual Residual / RMSE
Fill in the fields above — the result is computed on this page.
What these numbers mean
  • Check whether points are scattered on both sides of the zero line without a systematic shape.
  • Review large residuals together with the source data before changing the model.

The chart diagnoses the fitted line in the supplied sample. It does not by itself establish normality, independence or constant residual variance.

How to use this page
  1. Paste matching X and Y values.
  2. Inspect the zero line and the shape of the residual spread.
  3. Review rows with large errors in the table.

What this page does not do: The chart diagnoses the fitted line in the supplied sample. It does not by itself establish normality, independence or constant residual variance.

Further reading

A residual is the difference between an observed value and the value fitted by the model. The plot helps reveal curvature, unequal spread and individual observations that deserve review.

Residual/RMSE makes error sizes easier to compare, but it is not a fully studentised residual because it does not adjust for leverage.

Frequently asked questions

What should a good residual plot look like?

Points should scatter on both sides of zero without clear curvature or a systematically widening spread.

Does a large residual mean the observation is wrong?

Not necessarily. It may be a data error, an unusual case or evidence that the model misses important structure.

See also

← All calculators

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