Extrapolation Calculator
Perform linear extrapolation beyond two known points. Estimate y for an x value outside the known range.
How to Use the Extrapolation Calculator
- Enter two known data points (x₀, y₀) and (x₁, y₁).
- Enter the target x value beyond the known range.
- Click Extrapolate to see the predicted y.
快速参考
| 从 | 到 |
|---|---|
| (0,0)–(10,100), x=15 | y = 150 |
| (1,2)–(3,8), x=5 | y = 14 |
| (10,50)–(20,100), x=30 | y = 150 |
| (0,32)–(100,212), x=150 | y = 302 |
使用场景
- •Forecasting future values from historical trends.
- •Predicting beyond measured data in science experiments.
- •Estimating production output beyond current capacity data.
公式
y = y0 + slope × (x − x0), where slope = (y1 − y0) / (x1 − x0). Applied when x is outside [x0, x1].
常见问题
What is extrapolation?
Predicting a value outside the range of known data by extending the trend of those data points.
Is extrapolation reliable?
Less reliable than interpolation. The further x is from the known range, the less accurate the prediction.
What is the difference from interpolation?
Interpolation estimates within the data range; extrapolation estimates outside it.