What is the relationship between best fit lines in statistic

What is the relationship between best fit lines in statistics and the notion of projection in linear algebra?

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Solution

The best fit line is a common but simple tool for showing how two variables may be related. A more precise way to see relationships is using the least squares method,here we use matrix notation(linear algebra)to find vectors that have a minimum euclidean form, such vectors are projections of sets of data(such vectors are subspaces of projections).