If you want to interpolate census data on the interval 1900 t with a polynomial,

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If you want to interpolate census data on the interval 1900 t with a polynomial, p(t)=c1t10+c2t9+ middot + c10t+c11, you might be tempted to use the Vandermonde matrix generated by t=1900:10:2000 v=vender (t) Why is this a really bad idea? Investigate centering and scaling the independent variable. Plot some data, pull down the Tools menu on the figure window, select Basic Fitting, and find the check box about centering and scaling. What does this check box do? Replace the variable t with s=t-mu/ sigma This leads to a modified polynomial p(s). How are its coefficients related to those of p(t)? What

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