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    Linear interpolation and extrapolation with calculator

    Table of Contents

    Introduction

    Linear interpolation is a mathematical method of using the equation of a line in order to find a new data point, based on an existing set of data points.

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  • Linear extrapolation is the same as linear interpolation, with the exception of the new data points, which are outside the range of the given (known) data points.

    With other words, with linear interpolation and extrapolation, we can find new data points by approximating the current (known) data points as lines.

    To apply linear interpolation or extrapolation, we need to know the coordinates of two points.

    These points will define the equation of a line, which will be used to find any new set of data points along the line.

    Image: Linear interpolation

    Image: Linear extrapolation

    For example, we know the coordinates of the points A (x1, y1) and B (x2, y2).

    What y will be for any given x ?

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    Formula

    To find the value of y, for a given, x1, y1, x2, y2 and x, we need to apply the l

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