[Verse] Draw a line Just a single path X predicts Y We’re doing math Simple and clean A linear dream But wait—there’s more It’s a data stream Add more Xs A complex spree Multiple regression The key to see Each beta talks It’s a storyteller But watch for trouble—multicollinearity Fella [Chorus] Regression obsession Let’s break it down Betas and R-squared They wear the crown Assumptions Assumptions Don’t ignore the rules Homoskedasticity keeps the data cool [Verse 2] Hierarchical It’s a model stack Build it in layers No looking back Control for this Test for that Step by step Like a data acrobat The R-squared shines But don’t be fooled Adjusted knows when you’ve been schooled Interpret those betas They’ve got a tale But context wins—don’t let it derail [Prechorus] Residual plots They whisper the truth Is it random Or hiding a sleuth? Diagnostics Baby Don’t let ‘em slip Your model’s a ship Don’t let it tip [Chorus] Regression obsession Let’s break it down Betas and R-squared They wear the crown Assumptions Assumptions Don’t ignore the rules Homoskedasticity keeps the data cool [Bridge] Imagine you're trying to foresee, With Y as our target, let's decree. A simple regression line we derive, Y = 2 + 3X, to thrive. Plug in X, let's say it's four, Compute Y-hat, we're doing more. Y-hat becomes 2 plus 12, Fourteen's our guess, where numbers delve. But oh, reality might dismay, True Y is fifteen, let us say. Now subtract Y-hat from true, Residual, simple and true, is one to rue. [Chorus] Regression obsession Let’s break it down Betas and R-squared They wear the crown Assumptions Assumptions Don’t ignore the rules Homoskedasticity keeps the data cool
