| Summary: | 碩士 === 正修科技大學 === 工業工程與管理研究所 === 95 === This study uses Newton’s Interpolation Method as an example in order to explain how random 6/49 lotto estimating with fixed mode might produce error. Newton’s Interpolation Method is well-known as using the given data(xi,f(xi))，i=0,1,...,n to deduce a interpolation formula Pn(x) which is to be an estimate of fixed model f(x) used to infer function value f(xk), k≠i and the result, error term approaching to zero, would be satisfied when the function f(x) is polynomial. The fixed model f(x) of 6/49 lotto is nonexistent because of randomness and the error term Rn(x) will be as large as the power of actual function n→∞ . It is essential and reasonable to doubt the estimative result of Newton’s Interpolation Method, either Extrapolation. We can avoid the imperfection by simulating the frequency of outcome for every lotto number and improve the effect upon estimation.
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