[Verse 1]
Variables dancing in regression space
Independent factors should maintain their place
But sometimes predictors start to mirror tight
When X-sub-one reflects X-sub-two's sight
Correlation creeping past the danger zone
Makes coefficients unstable, overblown
[Chorus]
Multi-co-linearity, when predictors blend
VIF above ten means trouble, my friend
Variance Inflation Factor shows the strain
When variables echo, models feel the pain
Check your VIF, keep it under five
That's how regression models stay alive
[Verse 2]
Perfect correlation equals infinite VIF
Coefficients swing wild with each new riff
Standard errors balloon beyond repair
Significance tests vanish in thin air
One predictor's message gets confused
When another variable sings the same old blues
[Chorus]
Multi-co-linearity, when predictors blend
VIF above ten means trouble, my friend
Variance Inflation Factor shows the strain
When variables echo, models feel the pain
Check your VIF, keep it under five
That's how regression models stay alive
[Bridge]
Calculate VIF for each X in turn
R-squared regression helps you learn
One divided by one minus R-squared
Shows inflation that leaves models impaired
Drop redundant variables from your set
Or combine them wisely, place your bet
[Chorus]
Multi-co-linearity, when predictors blend
VIF above ten means trouble, my friend
Variance Inflation Factor shows the strain
When variables echo, models feel the pain
Check your VIF, keep it under five
That's how regression models stay alive
[Outro]
Independent means truly separate
VIF detection keeps your model accurate
Remember the threshold, remember the test
Clean predictors make forecasts at their best