Linear Interpolation Equation Calculator

Engineering - Interpolator Formula

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To interpolate the y₂ value:
x₁, x₃, y₁ and y₃ need to be entered/copied from the table.
x₂ defines the point to perform the interpolation.
y₂ is the interpolated value and solution.

x1	y1
x2	y2
x3	y3

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Problem:

Solve for y₂

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Enter Inputs:

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Solution:

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Change Equation or Formulas:

Tap or click to solve for a different unknown or equation

	linear interpolation single interpolator
	bilinear interpolation double interpolator

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What is linear interpolation?

Linear interpolation is a mathematical technique used to estimate an unknown value between two known data points on a straight line, assuming a constant rate of change between the points and that the function connecting them is linear.

Curve fitting, on the other hand, is a broader process of constructing a curve, or mathematical function, that best fits a series of data points. For example, linear interpolation can be considered a simple form of curve fitting where the curve is a straight line.

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Why it is essential?

Linear interpolation and curve fitting are essential because they provide efficient ways to estimate values within a data set when exact data is unavailable, analyze data trends, and create graphical representations of data. These techniques are critical for approximation, data analysis, and visualization.

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Linear interpolation equation

The linear interpolation equation is given by:

y = y1 + (x - x1) * ((y2 - y1) / (x2 - x1))

where (x1, y1) and (x2, y2) are the known data points, x is the unknown point's x-value, and y is the unknown point's y-value.

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How to solve:

To solve for y using linear interpolation, follow these steps:

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Common mistakes:

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Areas of use:

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Other types of interpolation:

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