[Verse 1] Scattered points across the graph, no pattern seems to show Data floating everywhere, which way should we go? Draw a line through this chaos, but which one fits the best? OLS will find the answer, puts regression to the test [Chorus] Minimize the squared mistakes, that's the golden rule Sum of squared errors small, OLS is our tool Best fit line emerges when we square each deviation Ordinary Least Squares brings statistical salvation [Verse 2] Take each point above the line, measure how it strays Square that distance, do the same for points that fall sideways Add them up, that's our target, make this number shrink Calculus will guide us to the optimal line we seek [Chorus] Minimize the squared mistakes, that's the golden rule Sum of squared errors small, OLS is our tool Best fit line emerges when we square each deviation Ordinary Least Squares brings statistical salvation [Bridge] Beta coefficients waiting in the mathematical maze Slope and intercept calculated through derivative ways When the sum hits zero gradient, perfection we have found The regression line that fits our data, statistically sound [Verse 3] No other line could do it better, this we guarantee Unbiased estimator gives us true reliability From finance to economics, wherever patterns hide OLS estimation keeps us scientifically precise [Chorus] Minimize the squared mistakes, that's the golden rule Sum of squared errors small, OLS is our tool Best fit line emerges when we square each deviation Ordinary Least Squares brings statistical salvation [Outro] Square the errors, find the minimum OLS makes the chaos clearer Draw the line that fits the best Ordinary Least Squares
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