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Introduction

In Laboratory 5 we learned how to construct a curve through specified points. For example how to construct a line passing through two given points, or a parabola passing through three points. In general you can construct a polynomial of degree n that passes through n specified points. Such a polynomial is called Interpolating polynomial. What happens if you have for example more than two points and you want to represent your data with a straight line? In cases like this we face an inconsistent system of linear equations Ax=b. Instead of solving Ax=b we try to find an x such that Ax is good approximation of b.