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Least Squares Method (in 5 Minutes)
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The least squares method is a technique used to find the best-fitting line for a set of data points. Suppose we are given pairs of values (x1, y1), (x2, y2), and so on, and we want to describe the relationship between x and y using a linear equation of the form y = ax b. In most real-world situations, the points will not lie perfectly on a single line, so we measure the error at each point as the vertical difference between the actual value yi and the predicted value axi b. The least squares met
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Ordinary Least Squares (OLS) is a regression method that estimates the best-fitting line by minimizing the sum of the squared residuals, where a residual is the difference between an observed value and the value predicted by the model. OLS gives every observation the same importance when fitting the regression. It works especially well when the error terms have constant variance, a condition known as homoskedasticity. If the errors have different variances across observations, called heteroskeda
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