Consider the case of y = x + r*cos(pi*x) where r is any real, which produces a sine wiggle around a straight line, where the deviation from the straight line is maximum for half-values of y, but for integer values produces the illusion of y=x.

Update oic, you want to limit the types of functions - but without the business knowledge how can you do that? We know it's leasing, but without knowing the business, how do you know it doesn't have a risk component linked to a normal distribution based on the customer's age? That wouldn't be polynomial.

More update: yes fletch is right, s/cos/sin/ - my brain did the equivalent of a double negative when I was imagining this.

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