Isotonic Regression Calculator
Fit a nondecreasing sequence by weighted pool-adjacent-violators regression.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Merge adjacent violating blocks and assign each pooled block its weighted mean.
Minimize Σw(y−fitted)² subject to fitted[i]≤fitted[i+1]
Worked example
Equal-weight values1,4,2,5 fit to1,3,3,5 with weighted SSE2.
Assumptions and input details
Predictor order is the entered order; ties in actual predictor values must be pooled beforehand. Fits observations only and does not extrapolate or provide inferential confidence bands.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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