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Value Extrapolation Calculator

Linear Trend Extrapolation

Linear Extrapolation Calculator
Estimates values beyond known data range using two-point linear projection. Calculates slope, y-intercept, extrapolation distance, and provides reliability assessment based on how far the prediction extends past measured data.

First Data Point

Second Data Point

Extrapolation Point

Enter X value beyond the data range to extrapolate Y.

Formula

Y = Y₁ + (X - X₁) × (Y₂ - Y₁) / (X₂ - X₁)
Y = Extrapolated value
(X₁, Y₁), (X₂, Y₂) = Known data points
X = Value to extrapolate at

Common Applications

  • Performance Prediction
    Equipment performance beyond tested ranges
  • Trend Analysis
    Future values based on historical data
  • Property Estimation
    Material properties at extreme conditions

Engineering Notes

  • <10% beyond range: Generally reliable (±5-10% error)
  • 10-50% beyond range: Use with caution (±10-30% error)
  • >50% beyond range: High uncertainty, validate experimentally
  • Check physical limits (no negative pressures, temperatures > absolute zero)
  • Linear extrapolation assumes constant rate of change continues
  • For critical applications, use physics-based models or obtain additional data