Spurious Regression
Regressing I(d) processes is fraught with danger of mis-specification and nonsense estimates. We often see analyst reports where a stock is being regressed with a composite index to find the beta of the stock OR two stocks are regressed to find the relative beta etc . If one looks at those numbers closely from a stats perspective, most of the estimates are complete non sense. Most often , knowingly or unknowingly , one tends to apply regression amongst non stationary series and then tries to use the estimate as though the regression has been done on stationary series.