[Verse 1] Picture data points scattered wide across your chart Some tight together, others drifting far apart The error terms should whisper with consistent voice But heteroskedasticity destroys that choice Variances balloon and shrink without a pattern Regression assumptions start to crack and shatter [Chorus] Hetero means different, skedastic means spread Unequal variances mess with your thread Homo we want it, consistent and clean But scattered residuals ruin the scene Check for the funnel, that widening cone Your standard errors can't be trusted alone [Verse 2] Income data shows this curse in living color Rich folks' spending varies more than someone duller Low earners cluster tight around their means While wealthy households paint expensive scenes The residuals fan out like peacock feathers Making confidence intervals unreliable tethers [Chorus] Hetero means different, skedastic means spread Unequal variances mess with your thread Homo we want it, consistent and clean But scattered residuals ruin the scene Check for the funnel, that widening cone Your standard errors can't be trusted alone [Bridge] White test will catch it Breusch-Pagan too Transform your variables Or robust errors pursue Weight least squares Can fix the disease Generalized methods Put variance at ease [Verse 3] Stock returns exhibit this problematic trait Volatile periods make small variances inflate Technology shares swing wild while utilities rest Your regression coefficients fail their t-test Invalid inference haunts your analysis Heteroskedasticity brings paralysis [Chorus] Hetero means different, skedastic means spread Unequal variances mess with your thread Homo we want it, consistent and clean But scattered residuals ruin the scene Check for the funnel, that widening cone Your standard errors can't be trusted alone [Outro] When residual plots reveal that dreaded fan Adjust your methods with a better plan Homoskedastic dreams await beyond the noise Transform the data, hear those cleaner joys
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