[Verse 1] When you've got one variable predicting sales Regular R-squared tells a simple tale But add more factors to your equation Watch that number climb without hesitation Even random noise can boost the score Making models look better than before [Chorus] Adjusted R-squared cuts through the hype Penalizes variables that aren't right Add-just-ed, it knows the cost Of extra terms when meaning's lost When k goes up, it holds the line A truthful measure by design [Verse 2] Formula subtracts from one the fraction One minus R-squared times a factor action Sample size minus one on top Divided by n minus k minus one won't stop This penalty grows with every addition Keeping models honest in their mission [Chorus] Adjusted R-squared cuts through the hype Penalizes variables that aren't right Add-just-ed, it knows the cost Of extra terms when meaning's lost When k goes up, it holds the line A truthful measure by design [Bridge] Regular R-squared never falls When predictors join the calls But adjusted can decline If new variables waste time It separates the wheat from chaff The real signal from the laugh [Verse 3] In multiple regression analysis Adjusted R-squared brings paralysis To overfitting's sneaky game Not all variables deserve the fame A smaller value might be better If it makes your model wetter [Chorus] Adjusted R-squared cuts through the hype Penalizes variables that aren't right Add-just-ed, it knows the cost Of extra terms when meaning's lost When k goes up, it holds the line A truthful measure by design [Outro] So when you're building models for CFA Let adjusted R-squared show the way Quality over quantity wins That's where good analysis begins
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